From 2d71c2d619f152984cfb81554559d119815440c0 Mon Sep 17 00:00:00 2001 From: dsotofor Date: Thu, 10 Apr 2025 16:47:59 +0200 Subject: [PATCH] another version --- .DS_Store | Bin 10244 -> 10244 bytes chapters/Architecture.aux | 40 ++--- chapters/Architecture.tex | 2 +- chapters/CBR.aux | 12 +- chapters/CBR.tex | 47 ++--- chapters/CBR_0.tex | 89 ++++++++++ chapters/ESCBR.aux | 99 +++++++++++ chapters/ESCBR.tex | 311 +++++++++++++++++++++++++++++++++ chapters/TS.aux | 103 +++++++++++ chapters/TS.tex | 344 +++++++++++++++++++++++++++++++++++++ main.aux | 16 +- main.bbl | 54 +++++- main.bib | 13 -- main.blg | 66 +++---- main.log | 415 ++++++++++++++++++++++++++++++++++++++------- main.out | 15 ++ main.pdf | Bin 5237398 -> 6934376 bytes main.synctex.gz | Bin 362019 -> 567605 bytes main.tex | 12 +- main.toc | 35 ++-- 20 files changed, 1496 insertions(+), 177 deletions(-) create mode 100644 chapters/CBR_0.tex create mode 100644 chapters/ESCBR.aux create mode 100644 chapters/ESCBR.tex create 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Le RàPC est apparue comme une alternative pour améliorer les systèmes experts. Initialement en 1977 les travaux de Shank et Abelson \cite{schank+abelson77} sur l'organisation hiérarchique de la mémoire pour imiter le raisonnement humain ont permis d'implémenter un système a Kolodner \cite{KOLODNER1983281} en l'année 1983 pour arriver au terme RàPC en 1989 dans le travail de Riesbeck et Shank \cite{Riesbeck1989}. +Le raisonnement à partir de cas est une approche fondé sur la connaissance, c'est une technique d'intelligence artificielle dont l'idée est de résoudre un nouveau problème donné en utilisant l'analogie grâce aux connaissances déjà acquises par le système. Le RàPC est apparu comme une alternative pour améliorer les systèmes experts. Initialement, en 1977, \colorbox{pink}{je ne comprends pas les dates} les travaux de Shank et Abelson \cite{schank+abelson77} sur l'organisation hiérarchique de la mémoire pour imiter le raisonnement humain ont permis d'implémenter un système \colorbox{pink}{à?} a Kolodner \cite{KOLODNER1983281} en l'année 1983 pour arriver au terme RàPC en 1989 dans le travail de Riesbeck et Shank \cite{Riesbeck1989}. -Le raisonnement à partir de cas a été utilisé dans différents domaines comme : médecine, conception de produits, sports, systèmes de recommandation, etc. En médecine a été appliqué pour explorer et aider la prise de décisions des médecins dans les traitements qui requièrent administration de doses précises selon les cas et les patients, \cite{PETROVIC201617} propose un algorithme de raisonnement à partir de cas qui indique quel est la dose correcte de radiation pour le traitement du cancer. Pour administrer une dose de radiothérapie il est nécessaire de connaître avec précision deux paramètres: le nombre de faisceaux et l'angle de chacun d'eux. L'algorithme proposé essaie de trouver la valeur optimal pour la combinaison des deux paramètres en utilisant les réseaux de neurones et l'adaptation des cas connus pour changer le nombre de faisceaux et adapter le angle de chaque faisceau. La validation de l'algorithme est évaluée avec une base de 80 cas réels de cancer du cerveau extraits de l'hôpital de Nottingham City, le nombre de neurones et couches a été changé de façon empirique. Les résultats montrent que l'utilisation des cas historiques et la construction des solutions à partir des solutions déjà connues atteint une amélioration de 12\% dans les cas du nombre de faisceaux et 29\% dans les cas de l'angle des faisceaux. +Le raisonnement à partir de cas a été utilisé dans différents domaines comme : la médecine, la conception de produits,les sports, les systèmes de recommandation, etc. En médecine le RàPC a été appliqué pour explorer et aider la prise de décisions des médecins dans les traitements qui requièrent l'administration de doses précises selon les cas et les patients. \cite{PETROVIC201617} propose un algorithme de raisonnement à partir de cas qui indique quelle est la dose correcte de radiation pour le traitement du cancer. Pour administrer une dose de radiothérapie il est nécessaire de connaître avec précision deux paramètres: le nombre de faisceaux et l'angle de chacun d'eux. L'algorithme proposé essaie de trouver la valeur optimale pour la combinaison des deux paramètres en utilisant les réseaux de neurones et l'adaptation des cas connus pour modifier le nombre de faisceaux et adapter l'angle de chaque faisceau. La validation de l'algorithme est évaluée avec une base de 80 cas réels de cancer du cerveau extraits de l'hôpital de Nottingham City. Le nombre de neurones et de couches a été changé de façon empirique. Les résultats montrent que l'utilisation des cas historiques et la construction des solutions à partir des solutions déjà connues permet une amélioration de 12\% dans les cas \colorbox{pink}{pour le nombre de?}du nombre de faisceaux et 29\% \colorbox{pink}{pour le nombre de?}dans les cas de l'angle des faisceaux. -Plusieurs travaux ont obtenu de bons résultats en appliquant le RàPC avec des modifications dans chacune des phases ou en combinant différents algorithmes au design de produits. \cite{ROLDANREYES20151} propose comme le montre la figure \figref{figMCBR1} un algorithme pour produire propylène glycol dans un réacteur chimique, dans ce cas la phase de réutilisation du RàPC est mélangée avec la recherche des états qui satisfassent le nouveau problème (Constraint satisfaction problems CSP) en utilisant l'information des cas de base déjà résolus. Les solutions trouvées sont évaluées selon le nombre de changements faits aux solutions déjà connues (Parcimonie), le nombre de possibles solutions trouvées (Accuracy), l'évaluation de commentaires faits par des experts et la complexité des transformations réalisées. Il n'est pas obligatoire de modifier tout le cycle du RàPC pour l'adapter à une problématique spécifique, comme \cite{JUNG20095695} qui développe un système basé sur l'hybridation du RàPC avec des réseaux de neurones pour concevoir des produits, le système se focalise uniquement dans les phases de rechercher et réutiliser du RàPC où sont exécutes les algorithmes implémentés. Le système détermine de façon automatique les valeurs pour les paramètres nécessaires à la conception de un produit particulier en suivant le cycle traditionnel du RàPC. Avec l'algorithme de k-moyennes est extrait un cas représentatif de la base de cas et l'adaptation des solutions des voisins trouvées est faite avec le réseau de neurones RBFN. Avec 830 test, les nouveaux cas très similaires aux cas de la base initiale est obtenu un bon design en 99.4\% des cas, pour les cas dissemblables le pourcentage est de 94.8\%. Le RàPC peut être utilisé aussi comme outil secondaire pour aider d'autres algorithmes à trouver la bonne configuration, dans \cite{10.1007/978-3-642-15973-2_50} est implémenté un réseau de neurones classique pour designer la géométrie d'une matrice pour l'extrusion de l'aluminium, car actuellement c'est un processus qui se fait manuellement par essai et erreur. Le RàPC ici est utilisé pour aider à déterminer les valeurs optimales des paramètres du réseau. +Plusieurs travaux ont obtenu de bons \colorbox{pink}{meilleurs?}résultats en appliquant le RàPC grâce à des modifications dans chacune des phases ou en combinant différents algorithmes au design \colorbox{pink}{? conception }de produits. Dans \cite{ROLDANREYES20151} les auteurs proposent, comme le montre la figure \figref{figMCBR1}, un algorithme pour produire le propylène glycol dans un réacteur chimique. Dans ce cas la phase de réutilisation du RàPC est mélangée avec la recherche des états qui satisfassent le nouveau problème (Constraint satisfaction problems CSP) en utilisant l'information des cas de base déjà résolus. Les solutions trouvées sont évaluées selon le nombre de changements réalisés sur les solutions déjà connues (Parcimonie), le nombre de solutions possibles trouvées (Accuracy), l'évaluation de commentaires faits par des experts et la complexité des transformations réalisées. Il n'est pas obligatoire de modifier tout le cycle du RàPC pour l'adapter à une problématique spécifique, par exemple, dans \cite{JUNG20095695} les auteurs développent un système basé sur l'hybridation du RàPC avec des réseaux de neurones pour concevoir des produits. Le système se focalise uniquement dans les phases "rechercher" et "réutiliser" du RàPC dans lesquelles sont exécutés les algorithmes implémentés. Le système détermine de façon automatique les valeurs pour les paramètres nécessaires à la conception d'un produit particulier en suivant le cycle traditionnel du RàPC. Avec l'algorithme de k-moyennes, est extrait un cas représentatif de la base de cas et l'adaptation des solutions des voisins trouvées est faite avec le réseau de neurones RBFN. Avec 830 tests, \colorbox{pink} {je ne comprends pas la phrase qui suit}les nouveaux cas très similaires aux cas de la base initiale est obtenu un bon design en 99.4\% des cas, pour les cas dissemblables le pourcentage est de 94.8\%. Le RàPC peut également être utilisé comme outil secondaire pour aider d'autres algorithmes à trouver la bonne configuration. Dans \cite{10.1007/978-3-642-15973-2_50} un réseau de neurones classique est implémenté pour colorbox{pink} {désigner?}designer la géométrie d'une matrice pour l'extrusion de l'aluminium. En effet,actuellement c'est un processus qui se fait manuellement et par essai et erreur. Le RàPC est alors utilisé pour aider à déterminer les valeurs optimales des paramètres du réseau. \mfigure[!ht]{width=\textwidth}{./Figures/ModCBR1.png}{Cycle du RàPC modifié. (Traduit de \cite{ROLDANREYES20151})}{figMCBR1} @@ -17,13 +17,16 @@ Plusieurs travaux ont obtenu de bons résultats en appliquant le RàPC avec des %\label{figMCBR1} %\end{figure} -L'une des problématiques la plus représentative et la plus fondamentale de l'utilisation du RàPC est la création de recettes de cuisine à partir de une base de ingrédients et d'un ensemble de recettes déjà connues, mais malgré l'apparente simplicité du problème il y a beaucoup de variations et modèles, dans \cite{10.1007/978-3-319-47096-2_11} est abordée cette problématique, mais en additionnant un nouveau cycle au cycle traditionnel du RàPC. Le premier cycle génère des descriptions abstraites du problème avec un réseau de neurones et algorithmes génétiques; le seconde cycle prend les descriptions abstraites comme nouveaux cas, cherche les cas similaires et adapte les solutions rencontrées. L'exécution des deux cycles considère certains critères prédéfinis par l'utilisateur. En comparant le même problème avec le cycle traditionnel du RàPC il y a effectivement une amélioration de la qualité des recettes proposées et qui vont plus en accord avec les critères définis. Sur la même problématique, mais plus focalisé sur la génération des recettes novatrices, \cite{10.1007/978-3-319-61030-6_1}, utilise un modèle probabiliste qui considère les préférences des utilisateurs, un indicateur de curiosité et un composant qui synthétise tout le design; une fois que toutes les exigences sont remplies, la recette est créée en combinant les ingrédients avec un réseau d'apprentissage profond. Les changements dans la représentation des cas est aussi une source d'amélioration des résultats parce que parfois d'un côté il y a plus d'information et de l'autre certain techniques ou algorithmes fonctionnent mieux, c'est le cas que montre \cite{Muller} où les recettes sont codées comme un processus de transformation et mélange des ingrédients en suivant une suite de pas ordonnés, pour créer innovation dans les recettes une mesure de distance est employée entre les ingrédients avec laquelle il est possible de trouver une recette et changer les ingrédients pour les plus proches, de la même façon il est possible de créer recettes plus proches des exigences des utilisateurs, les étapes de transformation appelées aussi opérateurs sont stockes et catégorisées les unes avec les autres avec une métrique qui permet de les échanger pour obtenir une nouvelle recette. +L’un des problèmes représentatifs(\colorbox{pink}{avant:L'une des problématiques la plus représentative et la plus fondamentale} de l'utilisation du RàPC est la création de recettes de cuisine à partir d'une base d'ingrédients et d'un ensemble de recettes déjà connues. Malgré l'apparente simplicité de ce problème il existe beaucoup de variations (\colorbox{pink}{pourquoi variations ?}et de modèles. Dans \cite{10.1007/978-3-319-47096-2_11} cette problématique est abordée, Les auteurs ajoutent un nouveau cycle au cycle traditionnel du RàPC. Le premier cycle génère des descriptions abstraites du problème avec un réseau de neurones et des algorithmes génétiques; le second cycle prend les descriptions abstraites comme des nouveaux cas, cherche les cas similaires et adapte les solutions rencontrées. L'exécution des deux cycles prend en compte certains critères prédéfinis par l'utilisateur. En comparant le même problème avec le cycle traditionnel du RàPC il y a effectivement une amélioration de la qualité des recettes proposées et celles-ci sont plus en accord avec les critères définis. Sur la même problématique, mais plus focalisé sur la génération des recettes novatrices, \cite{10.1007/978-3-319-61030-6_1} utilise un modèle probabiliste qui considère les préférences des utilisateurs, un indicateur de curiosité et un composant (\colorbox{pink}{qui synthétise tout le design ??} . Une fois que toutes les exigences sont renseignées, la recette est créée en \colorbox{pink}{combinant les ingrédients avec un réseau d'apprentissage profond ??}. Les modifications dans la représentation des cas sont également une source d'amélioration des résultats. Cela car (\colorbox{pink}{je ne comprends pas la suite}parfois d'un côté il y a plus d'information et de l'autre certaines techniques ou algorithmes fonctionnent mieux. C'est le cas dans \cite{Muller} où les recettes sont codées comme un processus de transformation et mélangent des ingrédients en suivant une suite de pas (\colorbox{pink}{étapes ?} ordonnés. Pour créer des recettes innovantes, une mesure de distance est utilisée entre les ingrédients. Cette mesure permet de trouver une recette en changeant les ingrédients par des ingrédients proches. De la même façon il est possible de créer des recettes plus proches des exigences des utilisateurs. Les étapes de transformation appelées aussi opérateurs sont stockées et catégorisées grâce à une métrique permettant de les échanger afin d’obtenir une nouvelle recette. Une autre type d'application du RàPC très notable est le génération, analyse et correction du texte écrit; pour la réalisation de ces tâches parfois il est nécessaire de transformer le texte en représentation numérique ou établir une fonction ou mesure qui va indiquer quels mots ont une proximité sémantique. Le travail de \cite{10.1007/978-3-319-24586-7_20} utilise le RàPC pour générer des histoires en utilisant le texte d'autres histoires, en explorant les possibles transformations de forme que la nouvelle histoire ne soit pas très similaire aux histoire déjà connues mais que elle soit cohérent. Le travail est plus focalisé sur la phase de révision, car les résultats de la révision déterminent si la histoire générée corresponde avec les critères spécifiés ou si le cycle d'adaptation doit recommencer; l'adaptation se fait en cherchant dans la base des cas, les personnages, les contextes, les objets et en unifiant tout avec des actions; la plus part des histoires générées sont cohérents mais sont des paragraphes très courts. Dans \cite{10.1007/978-3-030-58342-2_20} les phrases écrites en langue française sont corrigées, ce travail n'utilise pas la transformation numérique des phrases, ni connaissances linguistiques, mais seulement retrouve les phrases similaires en utilisant l'algorithme LCS (Longest Common Subsequence) et en calculant la distance parmi toutes les phrases pour savoir si elle est bien écrite ou pas, sinon le système peut proposer une correction en changeant certains mots selon le contexte et calculer à nouveau les distances qui déterminent la cohérence et pertinence de la phrase. -Le sport fait partie aussi des domaines explorés avec le RàPC, qui est généralement employé pour suggérer des routines d'entraînement, prédire des temps de course, ainsi comme évaluer et améliorer la performance des athlètes. La prédiction du temps de course pour un athlète est l'objectif du travail de \cite{10.1007/978-3-030-01081-2_25} où les coureurs ont été suivis et analysés pour la prédictions des temps de finalisation de une course, ici est implémenté un algorithme pour ceux qui font de la marathon en utilisant l'algorithme KNN pour rechercher les cas similaires et en faisant la prédiction avec la moyenne pondérée des meilleurs temps d'arrivée des cas similaires retrouvés dans la première étape du RàPC. Tandis que \cite{10.1007/978-3-030-58342-2_8} essaie de prédire le meilleur temps personnel pour des patineurs en se basant sur l'analogie de que les patineur avec des caractéristiques et histoire de course similaires auront des temps similaires aussi, mais parfois calculer une moyenne des temps similaires trouvés, ne suffit pas, car il y a des variables qui peuvent changer beaucoup la performance du patineur comme: le type de course, une piste spécifique, la distance de course, etc; l'algorithme a été testé avec une base de données qui contiens l'information de 21 courses de 500m, 700m, 1000m, 1500m, 3km, 5km and 10km entre Septembre 2015 et Janvier 2020. Un système multi-fonctionnel apparait dans \cite{10.1007/978-3-030-58342-2_5} car il permet de obtenir une prédiction du temps de course, suggérer un plan du rythme de la course et il recommande aussi un plan d'entraînement pour une course donnée; les trois fonctionnalités sont implémentées avec RàPC et en utilisant 'information des coureurs qui présentent un parcours historique et des caractéristiques physiques similaires, les plans d'entraînement ont été définis génériquement sur 16 semaines avant le début de la marathon parce que c'est le temps usuel pour la préparation de tous les coureurs. Le système a été évalué avec une base de données de 21000 coureurs dans la période de 2014 à 2017 qui ont couru les marathons de Dublin, Londres ou New-York. +Un autre type d'application du RàPC est la génération, l’analyse et la correction de textes écrits. Pour la réalisation de ces tâches il est parfois nécessaire de transformer le texte en représentation numérique ou d’établir une fonction ou mesure qui va indiquer quels mots ont une proximité sémantique. Le travail de \cite{10.1007/978-3-319-24586-7_20} utilise le RàPC pour générer des histoires en utilisant le texte d'autres histoires. Le système \colorbox{pink}{ok pour le système ?} explore les transformations de forme possibles afin que la nouvelle histoire ne soit pas similaire aux histoires déjà connues mais qu’elle soit cohérente. Le travail est plus focalisé sur la phase de révision, car les résultats de la révision déterminent si l’histoire générée correspond aux critères spécifiés ou si le cycle d'adaptation doit être recommencé. L'adaptation se fait en cherchant dans la base des cas, les personnages, les contextes, les objets et en \colorbox{pink}{unifiant tout avec des actions ??}. La plupart des histoires générées sont cohérents mais sont des paragraphes très courts. Dans \cite{10.1007/978-3-030-58342-2_20} les phrases écrites en langue française sont corrigées, ce travail n'utilise ni la transformation numérique des phrases, ni des connaissances linguistiques. Ils retrouvent des phrases similaires en utilisant l'algorithme LCS (Longest Common Subsequence) et en calculant la distance entre toutes les phrases pour savoir \colorbox{pink}{je ne comprends pas la suite }si elle est bien écrite ou pas. Si la phrase n’est pas bien écrite, le système peut proposer une correction en changeant certains \colorbox{pink}{ots ?} ots selon le contexte et calculer à nouveau les distances qui déterminent la cohérence et pertinence de la phrase. -Les systèmes de recommandation et le RàPC peuvent aussi être combinés comme le fait \cite{Obeid}, dont le objectif est d'arriver à minimiser les limitations des systèmes traditionnels ainsi comme avoir la capacité d'analyser des données hétérogènes et dans des grands espaces dimensionnels, dans ce travail est recommandé aux élèves du secondaire le parcours de carrière et les universités/collèges qui correspondent à leurs intérêts, ce travail montre aussi une taxonomie des techniques algorithmiques généralement utilisées dans les systèmes de recommandation pour les EIAH (figure \figref{figTax}). La utilisation du RàPC dans les environnements informatiques pour l'apprentissage humain (EIAH) et la personnalisation montrent des résultats positifs comme l'indique le travail de \cite{8495930} dont le modèle suit le cycle traditionnel du RàPC en combinant les modèles d'apprentissage traditionnel et digital, les principales contributions sont: la représentation des cas et la recommandation des parcours d'apprentissage personnalisés selon l'information des autres apprenants. Pour démontrer l'effectivité du modèle est crée une base de cas initiales avec laquelle est recommandé le parcours à 120 apprenants, les résultats ont été obtenus avec l'aide des examens avant et après avoir suivi le parcours recommandé par le modèle. +Le sport fait également partie des domaines explorés par le RàPC, qui est généralement employé pour suggérer des routines d'entraînement, prédire des temps de course, ainsi qu’évaluer et améliorer la performance des athlètes. L'objectif du travail de \cite{10.1007/978-3-030-01081-2_25} est la prédiction du temps de course pour un athlète . \colorbox{pink}{où les coureurs ont été suivis et analysés pour la prédictions des temps de finalisation de une course, ?}. L’algorithme implémenté pour une course de marathon utilise l'algorithme KNN pour rechercher les cas similaires. Il prédit grâce à la moyenne pondérée des meilleurs temps d'arrivée des cas similaires retrouvés dans la première étape du RàPC. Dans \cite{10.1007/978-3-030-58342-2_8} les auteurs essaient de prédire le meilleur temps personnel pour des patineurs en se basant sur l'analogie avec des patineurs ayant des caractéristiques et une histoire de course similaires\colorbox{pink}{pas sûre de la structure de cette phrase}. Cependant, parfois calculer une moyenne des temps similaires trouvés ne suffit pas, car il y a des variables qui peuvent beaucoup changer la performance du patineur comme: le type de course, une piste spécifique, la distance de course, etc. L'algorithme a été testé avec une base de données qui contient l'information de 21 courses de 500m, 700m, 1000m, 1500m, 3km, 5km and 10km entre Septembre 2015 et Janvier 2020. Un système multi-fonctionnel apparait \colorbox{pink}{est décrit dans }dans \cite{10.1007/978-3-030-58342-2_5}, il permet d’obtenir une prédiction du temps de course, de suggérer un plan du rythme de la course et il recommande également un plan d'entraînement pour une course donnée. Les trois fonctionnalités sont implémentées avec RàPC et en utilisant \colorbox{pink}{je ne comprends pas la suite}'information des coureurs qui présentent un parcours historique et des caractéristiques physiques similaires, les plans d'entraînement ont été définis génériquement sur 16 semaines avant le début du marathon parce que c'est le temps usuel pour la préparation de tous les coureurs. Le système a été évalué avec une base de données de 21000 coureurs des marathons de Dublin, Londres ou New-York pour la période de 2014 à 2017. + + +Les systèmes de recommandation et le RàPC peuvent aussi être combinés comme le font \cite{Obeid}, dont l’objectif est de minimiser les limitations des systèmes traditionnels ainsi que d’être capable d'analyser des données hétérogènes \colorbox{pink}{pas sûre de la suite} dans des grands espaces dimensionnels. Dans ce travail, le parcours de carrière et les universités/collèges est recommandé aux élèves du secondaire en fonction de leurs intérêts. Ce travail montre également une taxonomie des techniques algorithmiques généralement utilisées dans les systèmes de recommandation pour les EIAH (figure \figref{figTax}). L’utilisation du RàPC dans les environnements informatiques pour l'apprentissage humain (EIAH) et la personnalisation montrent des résultats positifs comme l'indique le travail de \cite{8495930}. Le modèle proposé suit le cycle traditionnel du RàPC en combinant les modèles d'apprentissage traditionnel et digital \colorbox{pink}{numérique ?}. Les principales contributions sont: la représentation des cas et la recommandation des parcours d'apprentissage personnalisés selon les informations issues des autres apprenants. Pour démontrer l'effectivité \colorbox{pink}{efficacité ?}du modèle, une base de cas initiaux a été créée. Celle-ci permet la recommandation du parcours de 120 apprenants. Les résultats ont été obtenus \colorbox{pink}{grâce à des examens}avec l'aide des examens avant et après avoir suivi le parcours recommandé par le modèle. \mfigure[!ht]{width=\textwidth}{./Figures/taxonomieEIAH.png}{Taxonomie des techniques algorithmiques employées pour des modules de recommandation dans les EIAH (Traduit de \cite{Obeid})}{figTax} @@ -34,9 +37,9 @@ Les systèmes de recommandation et le RàPC peuvent aussi être combinés comme %\label{figTax} %\end{figure} -Certains travaux ont appliqué le raisonnement à partir de cas à un problème spécifique en proposant des représentations des cas et des solutions différents et d'autres ont modifié le cycle conceptuel comme est montré dans la figure \figref{figMCBR2} extraite de \cite{10.1007/978-3-319-47096-2_11} où est additionné un autre cycle complémentaire avec l'idée d'améliorer le résultat du processus du RàPC en utilisant le \textit{Deep Learning}; dans \cite{10.1007/978-3-642-15973-2_50} la phase de stockage est modifiée en retenant les cas dont les résultats n'ont pas eu de succès, pour guider le processus dans la fabrications de nouvelles pièces; \cite{Robertson2014ARO} additionne pour chaque cas, une valeur d'utilité espérée selon chaque possible action avec laquelle est possible d'obtenir une prédiction probabiliste de l'application des actions à un état initiale donné. +Certains travaux ont appliqué le raisonnement à partir de cas à un problème spécifique en proposant des représentations des cas et des solutions différentes, d'autres ont modifié le cycle conceptuel comme le montre la figure \figref{figMCBR2} extraite de \cite{10.1007/978-3-319-47096-2_11}. Dans cette proposition, un cycle complémentaire est additionné avec l'idée d'améliorer le résultat du processus du RàPC en utilisant le \textit{Deep Learning}. Dans \cite{10.1007/978-3-642-15973-2_50} la phase de stockage est modifiée en retenant les cas dont les résultats n'ont pas eu de succès, pour guider le processus dans la fabrications de nouvelles pièces. Enfin, dans \cite{Robertson2014ARO} les auteurs proposent \colorbox{pink}{d’ajouter} additionne pour chaque cas, une valeur d'utilité espérée selon chaque action possible avec laquelle il est possible d'obtenir une prédiction probabiliste de l'application des actions à un état initiale donné \colorbox{pink}{à revoir}. -\mfigure[!ht]{width=\textwidth}{./Figures/ModCBR2.png}{Addition d'un cycle complémentaire avec \textit{Deep Learning} au RàPC (Traduit de \cite{10.1007/978-3-319-47096-2_11})}{figMCBR2} +\mfigure[!ht]{width=\textwidth}{./Figures/ModCBR2.png}{Ajout d'un cycle complémentaire avec \textit{Deep Learning} au RàPC (Traduit de \cite{10.1007/978-3-319-47096-2_11})}{figMCBR2} Le tableau \ref{tabArts2} montre un récapitulatif des articles analysés dans l'état de l'art du RàPC. @@ -46,33 +49,33 @@ Le tableau \ref{tabArts2} montre un récapitulatif des articles analysés dans l Ref&Limites et faiblesses\\ \hline -\cite{PETROVIC201617}&Grand quantité de données pour que l'algorithme marche bien. Recommandation limitée à un problème très spécifique\\ +\cite{PETROVIC201617}&Grande quantité de données pour que l'algorithme fonctionne correctement. Recommandation limitée à un problème très spécifique.\\ -\cite{ROLDANREYES20151}&Un seul méthode d'adaptation est utilisé. Le modèle n'exploite pas les cas qui présentent une erreur\\ +\cite{ROLDANREYES20151}&Une seule méthode d'adaptation est utilisée. Le modèle n'exploite pas les cas qui présentent une erreur.\\ -\cite{JUNG20095695}&Le modèle d'adaptation proposé marche bien seulement avec des cas très proches. L'apprentissage dans le RàCP se limite à stocker les nouveaux cas\\ +\cite{JUNG20095695}&Le modèle d'adaptation proposé fonctionne seulement avec des cas très proches. L'apprentissage dans le RàCP se limite à stocker les nouveaux cas.\\ \cite{10.1007/978-3-642-15973-2_50}&Le RàPC n'est pas modifié ou amélioré. La révision dans le RàPC n'est pas automatique\\ -\cite{10.1007/978-3-319-47096-2_11}&Beaucoup de données nécessaires pour entrainer le modèle de 'Deep Learning'. Les solution générées n'ont pas été validées\\ +\cite{10.1007/978-3-319-47096-2_11}&Beaucoup de données sont nécessaires pour entrainer le modèle de 'Deep Learning'. Les solutions générées n'ont pas été validées.\\ -\cite{10.1007/978-3-319-61030-6_1}&L'évaluation des solution générées n'est pas automatique. Les solutions sont produites avec un seul point de vue\\ +\cite{10.1007/978-3-319-61030-6_1}&L'évaluation des solutions générées n'est pas automatique. Les solutions sont produites avec un seul point de vue.\\ -\cite{Muller}&Un seul approche pour adapter les cas dans le RàPC. La révision dans le RàPC n'est pas automatique\\ +\cite{Muller}&Une seule approche pour adapter les cas dans le RàPC. La révision dans le RàPC n'est pas automatique.\\ -\cite{10.1007/978-3-319-24586-7_20}&Les solutions générées peuvent présenter des incohérences. Il n y a pas une métrique objective pour mesurer la qualité des réponses\\ +\cite{10.1007/978-3-319-24586-7_20}&Les solutions générées peuvent présenter des incohérences. Il n'y a pas une métrique objective pour mesurer la qualité des réponses.\\ -\cite{10.1007/978-3-030-58342-2_20}&Les résultats ne sont pas très bonnes. Le modèle n'a pas de connaissances linguistiques\\ +\cite{10.1007/978-3-030-58342-2_20}&Les résultats ne sont pas très bons. Le modèle n'a pas de connaissances linguistiques.\\ -\cite{10.1007/978-3-030-01081-2_25}&Les prédictions n'ont pas été testées dans le monde réel. Les données sont très spécifiques et peu variées\\ +\cite{10.1007/978-3-030-01081-2_25}&Les prédictions n'ont pas été testées dans le monde réel. Les données sont très spécifiques et peu variées.\\ -\cite{10.1007/978-3-030-58342-2_8}&Les prédictions sont pour des cas limités. Le modèle est entrainé pour un type d'utilisateur spécifique\\ +\cite{10.1007/978-3-030-58342-2_8}&Les prédictions sont pour des cas limités. Le modèle est entrainé pour un type d'utilisateur spécifique.\\ -\cite{10.1007/978-3-030-58342-2_5}&Seulement une technique de sélection de solutions. Les données nécessaires pour le modèle sont complexes\\ +\cite{10.1007/978-3-030-58342-2_5}&Seulement une technique de sélection de solutions. Les données nécessaires pour le modèle sont complexes.\\ -\cite{Obeid}&L'ontologie peut être limitée pour évaluer plusieurs cas inconnus ou imprévus. Il est nécessaire d'avoir une forte connaissance dans le domaine\\ +\cite{Obeid}&L'ontologie peut être \colorbox{pink}{limitée?}limitée pour évaluer plusieurs cas inconnus ou imprévus. Il est nécessaire d'avoir une forte connaissance du domaine.\\ -\cite{8495930}&Le modèle a été validé avec peu de données. Les recommandation se basent seulement dans l'information des autres apprenants\\ +\cite{8495930}&Le modèle a été validé avec peu de données. Les recommandations se basent seulement sur l'information des autres apprenants.\\ \end{tabular} \caption{Tableau de synthèse des articles analysés dans l’état de l’art du RàPC} @@ -86,4 +89,4 @@ Ref&Limites et faiblesses\\ %\label{figMCBR2} %\end{figure} -Deux problèmes très communes des systèmes de recommandation sont : le \textit{cold-start} qui occurs au début d'une recommandation lorsque il n'y a pas suffisamment de données pour calculer ou inférer une recommandation appropriée et le {gray-sheep} que se produit lorsque un utilisateur présente un comportement très différent des utilisateurs qui sont stockés dans la base de données et le système ne peut pas générer des recommandations en se basant sur l'information disponible. +Deux problèmes très communs des systèmes de recommandation sont : (1)le \textit{cold-start} qui se produit au début d'une recommandation lorsque il n'y a pas suffisamment de données pour calculer ou inférer une recommandation appropriée. Et (2) le \textit{gray-sheep} qui se produit lorsqu'un utilisateur présente un comportement très différent de ceux qui sont stockés dans la base de données. Le système ne peut donc pas générer des recommandations en se basant sur l'information disponible. diff --git a/chapters/CBR_0.tex b/chapters/CBR_0.tex new file mode 100644 index 0000000..4bd49c6 --- /dev/null +++ b/chapters/CBR_0.tex @@ -0,0 +1,89 @@ +\chapter{\'Etat de l'art (Raisonnement à Partir de Cas)} + +\section{Raisonnement à partir de cas (RàPC)} + +Le raisonnement à partir de cas est une approche fondé sur la connaissance, est une technique d'intelligence artificielle dont l'idée est de résoudre un nouveau problème donné en utilisant l'analogie avec les connaissances déjà acquises par le système. Le RàPC est apparue comme une alternative pour améliorer les systèmes experts. Initialement en 1977 les travaux de Shank et Abelson \cite{schank+abelson77} sur l'organisation hiérarchique de la mémoire pour imiter le raisonnement humain ont permis d'implémenter un système a Kolodner \cite{KOLODNER1983281} en l'année 1983 pour arriver au terme RàPC en 1989 dans le travail de Riesbeck et Shank \cite{Riesbeck1989}. + +Le raisonnement à partir de cas a été utilisé dans différents domaines comme : médecine, conception de produits, sports, systèmes de recommandation, etc. En médecine a été appliqué pour explorer et aider la prise de décisions des médecins dans les traitements qui requièrent administration de doses précises selon les cas et les patients, \cite{PETROVIC201617} propose un algorithme de raisonnement à partir de cas qui indique quel est la dose correcte de radiation pour le traitement du cancer. Pour administrer une dose de radiothérapie il est nécessaire de connaître avec précision deux paramètres: le nombre de faisceaux et l'angle de chacun d'eux. L'algorithme proposé essaie de trouver la valeur optimal pour la combinaison des deux paramètres en utilisant les réseaux de neurones et l'adaptation des cas connus pour changer le nombre de faisceaux et adapter le angle de chaque faisceau. La validation de l'algorithme est évaluée avec une base de 80 cas réels de cancer du cerveau extraits de l'hôpital de Nottingham City, le nombre de neurones et couches a été changé de façon empirique. Les résultats montrent que l'utilisation des cas historiques et la construction des solutions à partir des solutions déjà connues atteint une amélioration de 12\% dans les cas du nombre de faisceaux et 29\% dans les cas de l'angle des faisceaux. + +Plusieurs travaux ont obtenu de bons résultats en appliquant le RàPC avec des modifications dans chacune des phases ou en combinant différents algorithmes au design de produits. \cite{ROLDANREYES20151} propose comme le montre la figure \figref{figMCBR1} un algorithme pour produire propylène glycol dans un réacteur chimique, dans ce cas la phase de réutilisation du RàPC est mélangée avec la recherche des états qui satisfassent le nouveau problème (Constraint satisfaction problems CSP) en utilisant l'information des cas de base déjà résolus. Les solutions trouvées sont évaluées selon le nombre de changements faits aux solutions déjà connues (Parcimonie), le nombre de possibles solutions trouvées (Accuracy), l'évaluation de commentaires faits par des experts et la complexité des transformations réalisées. Il n'est pas obligatoire de modifier tout le cycle du RàPC pour l'adapter à une problématique spécifique, comme \cite{JUNG20095695} qui développe un système basé sur l'hybridation du RàPC avec des réseaux de neurones pour concevoir des produits, le système se focalise uniquement dans les phases de rechercher et réutiliser du RàPC où sont exécutes les algorithmes implémentés. Le système détermine de façon automatique les valeurs pour les paramètres nécessaires à la conception de un produit particulier en suivant le cycle traditionnel du RàPC. Avec l'algorithme de k-moyennes est extrait un cas représentatif de la base de cas et l'adaptation des solutions des voisins trouvées est faite avec le réseau de neurones RBFN. Avec 830 test, les nouveaux cas très similaires aux cas de la base initiale est obtenu un bon design en 99.4\% des cas, pour les cas dissemblables le pourcentage est de 94.8\%. Le RàPC peut être utilisé aussi comme outil secondaire pour aider d'autres algorithmes à trouver la bonne configuration, dans \cite{10.1007/978-3-642-15973-2_50} est implémenté un réseau de neurones classique pour designer la géométrie d'une matrice pour l'extrusion de l'aluminium, car actuellement c'est un processus qui se fait manuellement par essai et erreur. Le RàPC ici est utilisé pour aider à déterminer les valeurs optimales des paramètres du réseau. + +\mfigure[!ht]{width=\textwidth}{./Figures/ModCBR1.png}{Cycle du RàPC modifié. (Traduit de \cite{ROLDANREYES20151})}{figMCBR1} + +%\begin{figure} +%\centering +%\includegraphics[scale=0.4]{./Figures/ModCBR1.png} +%\caption{Cycle du RàPC modifié. (\cite{ROLDANREYES20151})} +%\label{figMCBR1} +%\end{figure} + +L'une des problématiques la plus représentative et la plus fondamentale de l'utilisation du RàPC est la création de recettes de cuisine à partir de une base de ingrédients et d'un ensemble de recettes déjà connues, mais malgré l'apparente simplicité du problème il y a beaucoup de variations et modèles, dans \cite{10.1007/978-3-319-47096-2_11} est abordée cette problématique, mais en additionnant un nouveau cycle au cycle traditionnel du RàPC. Le premier cycle génère des descriptions abstraites du problème avec un réseau de neurones et algorithmes génétiques; le seconde cycle prend les descriptions abstraites comme nouveaux cas, cherche les cas similaires et adapte les solutions rencontrées. L'exécution des deux cycles considère certains critères prédéfinis par l'utilisateur. En comparant le même problème avec le cycle traditionnel du RàPC il y a effectivement une amélioration de la qualité des recettes proposées et qui vont plus en accord avec les critères définis. Sur la même problématique, mais plus focalisé sur la génération des recettes novatrices, \cite{10.1007/978-3-319-61030-6_1}, utilise un modèle probabiliste qui considère les préférences des utilisateurs, un indicateur de curiosité et un composant qui synthétise tout le design; une fois que toutes les exigences sont remplies, la recette est créée en combinant les ingrédients avec un réseau d'apprentissage profond. Les changements dans la représentation des cas est aussi une source d'amélioration des résultats parce que parfois d'un côté il y a plus d'information et de l'autre certain techniques ou algorithmes fonctionnent mieux, c'est le cas que montre \cite{Muller} où les recettes sont codées comme un processus de transformation et mélange des ingrédients en suivant une suite de pas ordonnés, pour créer innovation dans les recettes une mesure de distance est employée entre les ingrédients avec laquelle il est possible de trouver une recette et changer les ingrédients pour les plus proches, de la même façon il est possible de créer recettes plus proches des exigences des utilisateurs, les étapes de transformation appelées aussi opérateurs sont stockes et catégorisées les unes avec les autres avec une métrique qui permet de les échanger pour obtenir une nouvelle recette. + +Une autre type d'application du RàPC très notable est le génération, analyse et correction du texte écrit; pour la réalisation de ces tâches parfois il est nécessaire de transformer le texte en représentation numérique ou établir une fonction ou mesure qui va indiquer quels mots ont une proximité sémantique. Le travail de \cite{10.1007/978-3-319-24586-7_20} utilise le RàPC pour générer des histoires en utilisant le texte d'autres histoires, en explorant les possibles transformations de forme que la nouvelle histoire ne soit pas très similaire aux histoire déjà connues mais que elle soit cohérent. Le travail est plus focalisé sur la phase de révision, car les résultats de la révision déterminent si la histoire générée corresponde avec les critères spécifiés ou si le cycle d'adaptation doit recommencer; l'adaptation se fait en cherchant dans la base des cas, les personnages, les contextes, les objets et en unifiant tout avec des actions; la plus part des histoires générées sont cohérents mais sont des paragraphes très courts. Dans \cite{10.1007/978-3-030-58342-2_20} les phrases écrites en langue française sont corrigées, ce travail n'utilise pas la transformation numérique des phrases, ni connaissances linguistiques, mais seulement retrouve les phrases similaires en utilisant l'algorithme LCS (Longest Common Subsequence) et en calculant la distance parmi toutes les phrases pour savoir si elle est bien écrite ou pas, sinon le système peut proposer une correction en changeant certains mots selon le contexte et calculer à nouveau les distances qui déterminent la cohérence et pertinence de la phrase. + +Le sport fait partie aussi des domaines explorés avec le RàPC, qui est généralement employé pour suggérer des routines d'entraînement, prédire des temps de course, ainsi comme évaluer et améliorer la performance des athlètes. La prédiction du temps de course pour un athlète est l'objectif du travail de \cite{10.1007/978-3-030-01081-2_25} où les coureurs ont été suivis et analysés pour la prédictions des temps de finalisation de une course, ici est implémenté un algorithme pour ceux qui font de la marathon en utilisant l'algorithme KNN pour rechercher les cas similaires et en faisant la prédiction avec la moyenne pondérée des meilleurs temps d'arrivée des cas similaires retrouvés dans la première étape du RàPC. Tandis que \cite{10.1007/978-3-030-58342-2_8} essaie de prédire le meilleur temps personnel pour des patineurs en se basant sur l'analogie de que les patineur avec des caractéristiques et histoire de course similaires auront des temps similaires aussi, mais parfois calculer une moyenne des temps similaires trouvés, ne suffit pas, car il y a des variables qui peuvent changer beaucoup la performance du patineur comme: le type de course, une piste spécifique, la distance de course, etc; l'algorithme a été testé avec une base de données qui contiens l'information de 21 courses de 500m, 700m, 1000m, 1500m, 3km, 5km and 10km entre Septembre 2015 et Janvier 2020. Un système multi-fonctionnel apparait dans \cite{10.1007/978-3-030-58342-2_5} car il permet de obtenir une prédiction du temps de course, suggérer un plan du rythme de la course et il recommande aussi un plan d'entraînement pour une course donnée; les trois fonctionnalités sont implémentées avec RàPC et en utilisant 'information des coureurs qui présentent un parcours historique et des caractéristiques physiques similaires, les plans d'entraînement ont été définis génériquement sur 16 semaines avant le début de la marathon parce que c'est le temps usuel pour la préparation de tous les coureurs. Le système a été évalué avec une base de données de 21000 coureurs dans la période de 2014 à 2017 qui ont couru les marathons de Dublin, Londres ou New-York. + +Les systèmes de recommandation et le RàPC peuvent aussi être combinés comme le fait \cite{Obeid}, dont le objectif est d'arriver à minimiser les limitations des systèmes traditionnels ainsi comme avoir la capacité d'analyser des données hétérogènes et dans des grands espaces dimensionnels, dans ce travail est recommandé aux élèves du secondaire le parcours de carrière et les universités/collèges qui correspondent à leurs intérêts, ce travail montre aussi une taxonomie des techniques algorithmiques généralement utilisées dans les systèmes de recommandation pour les EIAH (figure \figref{figTax}). La utilisation du RàPC dans les environnements informatiques pour l'apprentissage humain (EIAH) et la personnalisation montrent des résultats positifs comme l'indique le travail de \cite{8495930} dont le modèle suit le cycle traditionnel du RàPC en combinant les modèles d'apprentissage traditionnel et digital, les principales contributions sont: la représentation des cas et la recommandation des parcours d'apprentissage personnalisés selon l'information des autres apprenants. Pour démontrer l'effectivité du modèle est crée une base de cas initiales avec laquelle est recommandé le parcours à 120 apprenants, les résultats ont été obtenus avec l'aide des examens avant et après avoir suivi le parcours recommandé par le modèle. + +\mfigure[!ht]{width=\textwidth}{./Figures/taxonomieEIAH.png}{Taxonomie des techniques algorithmiques employées pour des modules de recommandation dans les EIAH (Traduit de \cite{Obeid})}{figTax} + +%\begin{figure} +%\centering +%\includegraphics[scale=21]{./Figures/taxonomieEIAH.png} +%\caption{Taxonomie des techniques algorithmiques employées pour des modules de recommandation dans les EIAH (\cite{Obeid})} +%\label{figTax} +%\end{figure} + +Certains travaux ont appliqué le raisonnement à partir de cas à un problème spécifique en proposant des représentations des cas et des solutions différents et d'autres ont modifié le cycle conceptuel comme est montré dans la figure \figref{figMCBR2} extraite de \cite{10.1007/978-3-319-47096-2_11} où est additionné un autre cycle complémentaire avec l'idée d'améliorer le résultat du processus du RàPC en utilisant le \textit{Deep Learning}; dans \cite{10.1007/978-3-642-15973-2_50} la phase de stockage est modifiée en retenant les cas dont les résultats n'ont pas eu de succès, pour guider le processus dans la fabrications de nouvelles pièces; \cite{Robertson2014ARO} additionne pour chaque cas, une valeur d'utilité espérée selon chaque possible action avec laquelle est possible d'obtenir une prédiction probabiliste de l'application des actions à un état initiale donné. + +\mfigure[!ht]{width=\textwidth}{./Figures/ModCBR2.png}{Addition d'un cycle complémentaire avec \textit{Deep Learning} au RàPC (Traduit de \cite{10.1007/978-3-319-47096-2_11})}{figMCBR2} + +Le tableau \ref{tabArts2} montre un récapitulatif des articles analysés dans l'état de l'art du RàPC. + +\begin{table} +\footnotesize +\begin{tabular}{p{4.2cm}p{9cm}} +Ref&Limites et faiblesses\\ +\hline + +\cite{PETROVIC201617}&Grand quantité de données pour que l'algorithme marche bien. Recommandation limitée à un problème très spécifique\\ + +\cite{ROLDANREYES20151}&Un seul méthode d'adaptation est utilisé. Le modèle n'exploite pas les cas qui présentent une erreur\\ + +\cite{JUNG20095695}&Le modèle d'adaptation proposé marche bien seulement avec des cas très proches. L'apprentissage dans le RàCP se limite à stocker les nouveaux cas\\ + +\cite{10.1007/978-3-642-15973-2_50}&Le RàPC n'est pas modifié ou amélioré. La révision dans le RàPC n'est pas automatique\\ + +\cite{10.1007/978-3-319-47096-2_11}&Beaucoup de données nécessaires pour entrainer le modèle de 'Deep Learning'. Les solution générées n'ont pas été validées\\ + +\cite{10.1007/978-3-319-61030-6_1}&L'évaluation des solution générées n'est pas automatique. Les solutions sont produites avec un seul point de vue\\ + +\cite{Muller}&Un seul approche pour adapter les cas dans le RàPC. La révision dans le RàPC n'est pas automatique\\ + +\cite{10.1007/978-3-319-24586-7_20}&Les solutions générées peuvent présenter des incohérences. Il n y a pas une métrique objective pour mesurer la qualité des réponses\\ + +\cite{10.1007/978-3-030-58342-2_20}&Les résultats ne sont pas très bonnes. Le modèle n'a pas de connaissances linguistiques\\ + +\cite{10.1007/978-3-030-01081-2_25}&Les prédictions n'ont pas été testées dans le monde réel. Les données sont très spécifiques et peu variées\\ + +\cite{10.1007/978-3-030-58342-2_8}&Les prédictions sont pour des cas limités. Le modèle est entrainé pour un type d'utilisateur spécifique\\ + +\cite{10.1007/978-3-030-58342-2_5}&Seulement une technique de sélection de solutions. Les données nécessaires pour le modèle sont complexes\\ + +\cite{Obeid}&L'ontologie peut être limitée pour évaluer plusieurs cas inconnus ou imprévus. Il est nécessaire d'avoir une forte connaissance dans le domaine\\ + +\cite{8495930}&Le modèle a été validé avec peu de données. Les recommandation se basent seulement dans l'information des autres apprenants\\ + +\end{tabular} +\caption{Tableau de synthèse des articles analysés dans l’état de l’art du RàPC} +\label{tabArts2} +\end{table} + +%\begin{figure} +%\centering +%\includegraphics[scale=0.4]{./Figures/ModCBR2.png} +%\caption{Addition d'un cycle complémentaire avec \textit{Deep Learning} au RàPC (\cite{10.1007/978-3-319-47096-2_11})} +%\label{figMCBR2} +%\end{figure} + +Deux problèmes très communes des systèmes de recommandation sont : le \textit{cold-start} qui occurs au début d'une recommandation lorsque il n'y a pas suffisamment de données pour calculer ou inférer une recommandation appropriée et le {gray-sheep} que se produit lorsque un utilisateur présente un comportement très différent des utilisateurs qui sont stockés dans la base de données et le système ne peut pas générer des recommandations en se basant sur l'information disponible. diff --git a/chapters/ESCBR.aux b/chapters/ESCBR.aux new file mode 100644 index 0000000..fe53fc6 --- /dev/null +++ b/chapters/ESCBR.aux @@ -0,0 +1,99 @@ +\relax +\providecommand\hyper@newdestlabel[2]{} +\citation{10.1007/978-3-031-63646-2_11} +\citation{BAKUROV2021100913} +\citation{Liang} +\citation{cmc.2023.033417} +\citation{10.3389/fgene.2021.600040} +\@writefile{toc}{\contentsline {chapter}{\numberline {7}Raisonnement à partir de cas (RàPC) pour Régression}{61}{chapter.7}\protected@file@percent } +\@writefile{lof}{\addvspace {10\p@ }} +\@writefile{lot}{\addvspace {10\p@ }} +\@writefile{toc}{\contentsline {section}{\numberline {7.1}Introduction}{61}{section.7.1}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {7.2}Modèle Proposé}{62}{section.7.2}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {7.1}{\ignorespaces Les deux cycles proposés pour le RàPC\relax }}{62}{figure.caption.34}\protected@file@percent } +\newlabel{figNCBR}{{7.1}{62}{Les deux cycles proposés pour le RàPC\relax }{figure.caption.34}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {7.2}{\ignorespaces Flux du \textit {Stacking} RàPC\relax }}{63}{figure.caption.35}\protected@file@percent } +\newlabel{figFlowCBR}{{7.2}{63}{Flux du \textit {Stacking} RàPC\relax }{figure.caption.35}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {7.2.1}Rechercher}{63}{subsection.7.2.1}\protected@file@percent } +\@writefile{lot}{\contentsline {table}{\numberline {7.1}{\ignorespaces Variables et paramètres du modèle proposé (Type: p - paramètre, v - variable, f - fonction)\relax }}{64}{table.caption.36}\protected@file@percent } +\newlabel{tabVarPar}{{7.1}{64}{Variables et paramètres du modèle proposé (Type: p - paramètre, v - variable, f - fonction)\relax }{table.caption.36}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {7.2.2}Réutiliser}{64}{subsection.7.2.2}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {7.3}{\ignorespaces \textit {Stacking} pour chercher les plus proches voisins\relax }}{65}{figure.caption.37}\protected@file@percent } +\newlabel{figSta1}{{7.3}{65}{\textit {Stacking} pour chercher les plus proches voisins\relax }{figure.caption.37}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {7.4}{\ignorespaces Génération et vérification automatique des solutions\relax }}{65}{figure.caption.38}\protected@file@percent } +\newlabel{figAuto}{{7.4}{65}{Génération et vérification automatique des solutions\relax }{figure.caption.38}{}} +\newlabel{gen00}{{7.1}{66}{Réutiliser}{equation.7.2.1}{}} +\newlabel{gen01}{{7.2}{66}{Réutiliser}{equation.7.2.2}{}} +\newlabel{gen2}{{7.3}{66}{Réutiliser}{equation.7.2.3}{}} +\citation{doi:10.1137/23M1592420} +\@writefile{lof}{\contentsline {figure}{\numberline {7.5}{\ignorespaces \textit {Stacking} pour la génération de solutions\relax }}{67}{figure.caption.39}\protected@file@percent } +\newlabel{figSta2}{{7.5}{67}{\textit {Stacking} pour la génération de solutions\relax }{figure.caption.39}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {7.2.3}Révision}{68}{subsection.7.2.3}\protected@file@percent } +\newlabel{eqOpt0}{{7.11}{68}{Révision}{equation.7.2.11}{}} +\newlabel{eqOpt}{{7.12}{68}{Révision}{equation.7.2.12}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {7.6}{\ignorespaces Représentation graphique en deux dimensions du problème de moyenne geométrique. 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Une partie du contenu est extrait et traduit de l’article Soto \textit{et al.} \cite{10.1007/978-3-031-63646-2_11}.\\ + +Cette approche ne nécessite pas d'entrainement, et peut fonctionner avec des données dynamiques au moment de l'exécution. Les solutions sont générées à l'aide d'algorithmes stochastiques afin de permettre l'exploration de l'espace des solutions, l'évaluation est effectuée en transformant le problème de régression en un problème d'optimisation avec une fonction objectif associée. L'algorithme a été testé en comparaison avec neuf algorithmes de régression classiques sur dix bases de données de régression différentes extraites du site de l'UCI, les résultats montrent que l'algorithme proposé génère dans la plupart des cas des solutions assez proches des solutions réelles, selon le RMSE l'algorithme se trouve globalement parmi les six meilleurs algorithmes et avec MAE au troisième meilleur algorithmes des dix évalués, suggérant que les résultats sont raisonnablement bons.\\ + +Les méthodes d'ensemble utilisent plusieurs modèles multiples exécutés indépendamment et leurs résultats sont combinés pour obtenir une prédiction globale finale. L'idée principale est d'améliorer les résultats et la capacité de généralisation des modèles individuels. Certaines méthodes d'ensemble utilisent différents modèles avec différents ensembles de données, d'autres utilisent les mêmes modèles avec des paramètres différents, la combinaison des résultats des multiples modèles peut utiliser différentes stratégies comme des règles simples ou des approches plus complexes \cite{BAKUROV2021100913}. Les méthodes d'ensemble sont utiles dans les problèmes de classification et de régression.\\ + +Les méthodes d'apprentissage automatique appliquées à la régression permettent de prédire des valeurs pour différents types de problèmes en construisant, évaluant et formant des modèles linéaires et non linéaires complexes, mais s'il est possible d'améliorer la précision en les intégrant, les stratégies d'intégration les plus courantes utilisées pour l'apprentissage d'ensemble sont les suivantes : Stacking, Boosting et Bagging \cite{Liang}. Le Stacking est un type de méta-modèle d'apprentissage profond d'ensemble, dont l'objectif est d'utiliser diverses techniques d'apprentissage automatique pour surmonter les limites des modèles individuels, l'intégration générant un résultat final avec une précision améliorée \cite{cmc.2023.033417}. Dans les méthodes d'empilage, les algorithmes de base sont appelés niveau-0, il s'agit généralement de modèles ou d'algorithmes d'apprentissage automatique hétérogènes qui travaillent tous avec la même base de données. Le méta-algorithme qui unifie les résultats peut être une autre technique d'apprentissage automatique ou un ensemble de règles qui reçoit comme données d'entrée les résultats des algorithmes de niveau-0 est appelé niveau-1 \cite{10.3389/fgene.2021.600040}. + +\section{Modèle Proposé} + +L'algorithme proposé ESCBR (Ensemble Stacking Case-Based Reasoning) est basé sur le paradigme générique CBR avec plusieurs algorithmes de recherche de voisins et de génération de solutions qui ont été intégrés selon une variation du modèle de stacking en deux étapes itératives, cette intégration donne à l'algorithme la capacité de s'adapter à différents types de problèmes, d'éviter les biais et le surentraînement. Les résultats de l'exécution des niveaux de stacking stockent dans la mémoire des conteneurs CBR des informations qui aident à l'apprentissage de l'algorithme au fil des itérations, en plus de faciliter la génération de solutions à divers problèmes sur différentes bases de données sans avoir besoin d'une phase d'entraînement. La conception itérative en deux cycles améliore la capacité de la CBR à travailler et à s'adapter à des problèmes dynamiques en cours d'exécution, comme le montre la figure \ref{figNCBR}.\\ + +\begin{figure}[!ht] +\centering +\includegraphics[scale=0.5]{./Figures/NCBR0.png} +\caption{Les deux cycles proposés pour le RàPC} +\label{figNCBR} +\end{figure} + +L'étape de récupération utilise les algorithmes de recherche et la base de données de cas (conteneurs C1 et C3) pour trouver les voisins les plus proches d'un nouveau problème donné, l'étape de réutilisation utilise les algorithmes de génération de solutions (conteneur C2), l'étape de révision évalue les solutions générées et permet de générer de nouvelles solutions itérativement en fonction des paramètres stockés dans le conteneur C4 et en invoquant l'étape de reconfiguration, avec une solution sélectionnée, l'étape de renouvellement met à jour les paramètres et les données du conteneur, enfin, dans l'étape de conservation, la base de cas est mise à jour avec le nouveau cas et la solution générée. Le flux complet de l'algorithme proposé est présenté dans la figure \ref{figFlowCBR}. Les variables et paramètres complets de l'algorithme proposé sont indiqués dans le tableau \ref{tabVarPar}. + +\begin{figure}[!ht] +\centering +\includegraphics[scale=0.6]{./Figures/FlowCBR0.png} +\caption{Flux du \textit{Stacking} RàPC} +\label{figFlowCBR} +\end{figure} + +\begin{table}[!ht] +\centering +\begin{tabular}{cccc} +ID&Type&Description&Domain\\ +\hline +$it$&p&Nombre d'iterations&$\mathbb{N}, it>0$\\ +$np$&p&Nombre de processus&$\mathbb{N}, np>2$\\ +$nl$&p&Nombre maximal de voisins locaux&$\mathbb{N}, nl>0$\\ +$ng$&p&Nombre de voisins globaux&$\mathbb{N}, ng>2$\\ +$n$&v&Dimension de l'espace du problème&$\mathbb{N}, n>0$\\ +$m$&v&Dimension de l'espace de solution&$\mathbb{N}, m>0$\\ +$z$&v&Taille de la base de données&$\mathbb{N}, z>0$\\ +$p$&v&Description du problème&$\mathbb{R} ^ n$\\ +$s$&v&Description de la solution&$\mathbb{R} ^ m$\\ +$r_a$&v&Nombre de modèles pour l'étape rétrouver&$\mathbb{N}, r_a>2$\\ +$r_b$&v&Nombre de modèles pour l'étape de réutilisation&$\mathbb{N}, r_b>2$\\ +$at$&v&Identificateur des actions&$[0,2] \in \mathbb{N}$\\ +$nl_i$&v&Nombre de voisins locaux pour le modèle $i$&$\mathbb{N}, nl_i \le nl$\\ +$g$&v&Description de la meilleure solution globale&$\mathbb{R} ^ m$\\ +$v$&v&Évaluation de la meilleure solution globale&$\mathbb{R}$\\ +$d(x_1,x_2)$&f&Fonction de distance entre $x_1$ et $x_2$ &$\mathbb{R}$\\ +$MP(x_1^z,x_2,a)$&f&Fonction du modèle pour rétrouver entre $x_1$ et $x_2$&$\mathbb{R}^{a \times z}$\\ +$MS(x_1^m)$&f&Fonction du modèle pour réutiliser avec $x_1$ &$\mathbb{R}^m$\\ +$f_s(p^n,s^m)$&f&Évaluation des solutions&$\mathbb{R}$\\ +\end{tabular} +\caption{Variables et paramètres du modèle proposé (Type: p - paramètre, v - variable, f - fonction)} +\label{tabVarPar} +\end{table} + +\subsection{Rechercher} +La première étape de l'algorithme consiste à trouver les cas les plus similaires à un nouveau cas éventuel, pour cela un premier modèle de stacking avec différents processus est utilisé comme le montre la figure \ref{figSta1}, au niveau-0 chaque processus sélectionne et exécute un algorithme de recherche de voisins différent choisit parmi $r_a$ modèles dans le conteneur C3, avec un nombre de voisins $nl_i$ choisi aléatoirement dans l'intervalle $[0,nl]$, puis au niveau-1 les résultats sont unifiés en construisant un ensemble global de cas similaires. Cinq algorithmes pour le niveau 0 ont été mis en Å“uvre pour l'étape de récupération : KNN (K Nearest Neighbors), KMeans, GMM (Gaussian Mixture Model), FuzzyC et KNN Ponderation.\\ + +\begin{figure} +\centering +\includegraphics[scale=0.4]{./Figures/Stacking1.png} +\caption{\textit{Stacking} pour chercher les plus proches voisins} +\label{figSta1} +\end{figure} + +Formellement, le premier modèle de stacking proposé fonctionne avec deux paramètres : une base de données de $z$ cas, un cas est composé de la description du problème et de la description de la solution ${(p^n,s^m)}^{z}$ et un nouveau cas sans solution $p_w^n$, le but de tous les algorithmes de niveau 0 est de générer une liste locale de cas similaires au nouveau cas en utilisant les informations de la description du problème, c'est-à-dire que pour chaque $j$ modèle effectué, est généré l'ensemble $X_j=\{x_1,x_2,. ..,x_z \; | \; x_i=MP_i((p^n)^z, p_w^n,nl_i) \}$. Au niveau 1, un ensemble global est créé à l'aide de tous les ensembles locaux $j$ $X_g=\cup_{n=1}^{ng} min \ ; ((\cup_{j=1}^{np} X_j)-X_g)$, puis le résultat du premier modèle d'empilement est l'ensemble $X_g$ avec les $ng$ voisins les plus proches. + +\subsection{Réutiliser} + +Une fois la liste globale des cas similaires établie, les informations correspondant aux solutions de chacun de ces cas sont extraites et utilisées pour générer une nouvelle solution qui s'adapte au nouveau cas en utilisant des cas similaires et des solutions similaires, comme le montre la figure \ref{figAuto}. La génération est effectuée avec un deuxième modèle de stacking avec différents processus comme le montre la figure \ref{figSta2}, au niveau 0 chaque processus sélectionne et exécute un algorithme de génération différent à partir des modèles $r_b$ dans le conteneur C2 et au niveau 1 toutes les différentes solutions générées sont stockées dans une mémoire globale. Étant donné que la représentation des solutions est comme un tableau unidimensionnel de multiples cases, alors neuf algorithmes ont été mis en Å“uvre pour l'étape de réutilisation au niveau 0 : moyenne avec probabilité, moyenne sans probabilité, valeurs médianes, sélection aléatoire avec probabilité, copie et changement, vote, interpolation, ACP (analyse en composantes principales) et marche aléatoire. Tous les algorithmes proposées pour générer une nouvelle solution combinent et modifient l'ensemble de solutions construit dans l'étape de récupération.\\ + +\begin{figure}[!ht] +\centering +\includegraphics[scale=0.4]{./Figures/AutomaticS.png} +\caption{Génération et vérification automatique des solutions} +\label{figAuto} +\end{figure} + +La moyenne pondérée avec probabilité permet de construire une solution selon le calcul de la moyenne avec le poids de chaque solution en fonction de sa proximité au nouveau problème. L'équation \ref{gen00} define le calcul de la probabilité en fonction de la distance entre les problèmes et l'équation \ref{gen01} construit la solution en calculant chaque case $j$.\\ + +\begin{equation} + \alpha_j=\frac{d(p_j^n,p_w^n)}{\sum_{i=0}^{nl} d(p_i^n,p_w^n)} + \label{gen00} +\end{equation} + +\begin{equation} + s^m_{j,w}= \frac{1}{nl} \sum_{i=0}^{nl} \alpha_j s_{i,j} + \label{gen01} +\end{equation} + +La moyenne sans probabilité copie aléatoirement les informations des solutions selon la distribution uniforme en donnant la même probabilité à toutes les elements de toutes les solutions proches. Formellement la génération de la solution est écrite commme l'equation \ref{gen2}, où chaque position $j$ est calculée de la même façon.\\ + +\begin{equation} + s^m_{w,j}= \frac{1}{nl} \sum_{i=0}^{nl} s_{i,j} + \label{gen2} +\end{equation} + +La génération de la solution par valeurs médianes construit la solution en utilisant la valeur médiane de toutes les solutions pour chaque dimension.\\ + +\begin{equation} + s_{w,j}^m= + \begin{cases} + x_{j,\frac{n+1}{2}}, \; si \; n \in \{{2k+1 : k \in \mathbb{Z}}\}\\ + \frac{x_{j,\frac{n}{2}}+x_{j,\frac{n}{2}+1}}{2}, \; autrement\\ + \end{cases} +\end{equation} + +La sélection aleatoire avec probabilité génére une solution en copiant aléatoirement l'information des solutions dans chaque position ayant une plus grande probabilité vers le cas de problème associé le plus proche.\\ + +\begin{equation} +s_{w,k}^m=max(P(S_j))_k \; with \; probability \; \alpha_j \; \forall k=\{1,...,m\} +\end{equation} + +\textcolor{red}{complete all the models formalization...} + +Copie/changement, copie les informations d'une solution aléatoire et change une partie avec les informations d'une autre solution sélectionnée aléatoirement.\\ + +\begin{equation} +s_{w}^m=max(P(S_j)) \; with \; uniform \; probability +\end{equation} + +Le vote permet de copier l'information qui se présente avec plus de fréquence entre toutes les solutions.\\ + +\begin{equation} + s_{w,j}^m=max(\#(s_{j})) +\end{equation} + +L'interpolation utilise des informations aléatoires à partir d'une fonction d'interpolation lineaire 1D calculée.\\ + +\begin{equation} + s_{w,j}^m=rand \left( \left( \frac{y_i-y_{i+1}}{x_i-x_{i+1}} \right) (x-x_i)+y_i \right), \forall i \; | \; 0 \le i < nl +\end{equation} + +Avec PCA, la description du problème est transformée dans l'espace de description des solutions pour établir une relation entre le problème et sa solution, avec le problème et la solution dans le même espace est calcule la moyenne de la distance entre tous les paires problème-solution et en utilisant la description du nouveau problème et la valeur moyenne de distance une solution est générée.\\ + +\begin{equation} + s_{w,j}^m= +\end{equation} + +Marche aléatoire choisit une solution et change les valeurs dans une dimension aléatoirement avec un petit pas. Le petit pas est une valeur aléatoire générée avec une distribution de probabilité normal.\\ + +\begin{equation} + s_{w,j}^m=\begin{cases} + s_{j}^m+randNormal(0,1)& if \; randIntU(0,10)\%2=0\\ + s_{j}^m-randNormal(0,1)&otherwise + \end{cases} +\end{equation} + +\begin{figure} +\centering +\includegraphics[scale=0.4]{./Figures/Stacking2.png} +\caption{\textit{Stacking} pour la génération de solutions} +\label{figSta2} +\end{figure} + +****************** \\ +\textcolor{red}{ +Expliciter chacune des méthodes de génération des solutions.}\\ +****************** + +Le deuxième modèle de stacking fonctionne avec la description des solutions $s$ comme paramètre, avec l'ensemble $(s^m)^{ng}$, chaque modèle de réutilisation exécuté peut générer une solution candidate $s_{i,c}=MS_i((s^m)^{ng})$. Le niveau 1 est la construction de l'ensemble d'unification de toutes les solutions candidates $Y_g= \cup_{i=1}^{np} s_{i,c}$. Cet ensemble est évalué à l'aide d'une fonction permettant de déterminer la qualité de la solution. + +\subsection{Révision} + +Dans cette phase, le problème de l'évaluation automatique d'une solution candidate est transformé en un problème d'optimisation, où la fonction objective est \ref{eqOpt}. Ce problème est similaire au probleme de trouver la moyenne geometrique ou problème de "Fermat-Weber", dans le cas de un espace multidimensionnel, le problème est connu comme moyenne spatiale \cite{doi:10.1137/23M1592420}. La figure \ref{fig:FW} montre un exemple de la formulation du problème en deux dimensions, où le point rouge représente une posible solution qui minimise la somme des distances avec tous les points définis dans l'espace.\\ + +La fonction objectif \ref{eqOpt} établi un rapport entre la distance de la solution générée $s^m_w$ et les $x$ solutions connues $s^m_x$ avec un facteur aléatoire de \textit{drift} ainsi que la distance du problème nouveau $p^n_w$ et les $x$ problèmes connus $p^n_w$. Ici, la complexité de trouver le point optimal se trouve dans le fait que tous les points dans l'espace ne sont pas valides comme solution du nouveau problème, c'est la raison pour laquelle le point doit être généré en utilisant l'information des solutions connues. L'objetif de faire ça est de utiliser l'information disponible qui décrit un problème et sa solution pour valider et générer l'ensemble de solutions proposées.\\ + +\begin{equation} +\lambda_x(p_w, s_w) = \left( \frac{d(s_w^m,(s_x^m+rn(0,d(p_w^n, p_i^n))))}{d(p_w^n,p_x^n)^2} \right) +\label{eqOpt0} +\end{equation} + +\begin{equation} +min \; \left( f_s(p_w^n, s_w^m) \right) = min \left( \sum_{i=1}^{ng} \lambda_i (p_w, s_w) \right) +\label{eqOpt} +\end{equation} + +\begin{figure}[!ht] + \centering + \includegraphics[width=0.5\linewidth]{Figures/FW.png} + \caption{Représentation graphique en deux dimensions du problème de moyenne geométrique. (Points associés au problème ($\lambda_1,..,\lambda_7$) et point rouge solution au problème)} + \label{fig:FW} +\end{figure} + +Le cycle d'optimisation peut exécuter les phases de récupération et de réutilisation en fonction de l'action aléatoire sélectionnée parmi $[0,at]$ à chaque itération $it$, en sauvegardant dans une mémoire globale à chaque itération la solution qui obtient la valeur minimale dans l'évaluation de la fonction objective. + +\subsection{Mémorisation} + +L'étape de rétention consiste simplement à prendre la meilleure solution proposée et à déterminer s'il s'agit d'une solution nouvelle ou existante et, si elle est nouvelle, à l'enregistrer dans la base de données. + +\section{Résultats} + +Afin de comparer les performances de prédiction et le comportement de l'algorithme proposé, dix bases de données de régression présentant des caractéristiques différentes ont été sélectionnées. Les bases de données et leurs caractéristiques sont indiquées dans le tableau \ref{tabBases}. Les valeurs des paramètres de l'algorithme sont les suivantes : $it=100$, $np=50$, $nl=10$ et $ng=10$.\\ + +\begin{table}[!ht] +\tiny +\centering +\begin{tabular}{llccccc} +ID&DataSet&Features&Instances&Output Dimension&Input Domain&Output Domain\\ +\hline +DS1&Yatch Hydrodynamics&6&308&1&$\mathbb{R}$&$\mathbb{R}$\\ +DS2&Electrical Grid Stability&12&10000&1&$\mathbb{R}$&$\mathbb{R}$\\ +DS3&Real State Valuation&6&414&1&$\mathbb{R_+}$&$\mathbb{R_+}$\\ +DS4&Wine Quality (Red)&11&1598&1&$\mathbb{R_+}$&$\mathbb{N}$\\ +DS5&Wine Quality (White)&11&4897&1&$\mathbb{R_+}$&$\mathbb{N}$\\ +DS6&Concrete Compressive Strength&8&1030&1&$\mathbb{R_+}$&$\mathbb{R_+}$\\ +DS7&Energy Efficiency&8&768&2&$\mathbb{R_+}$&$\mathbb{R_+}$\\ +DS8&Gas Turbine CO, NOx Emission (2015)&9&7384&2&$\mathbb{R_+}$&$\mathbb{R_+}$\\ +DS9&Student Performace Portuguese&30&649&3&$\mathbb{N*}$&$\mathbb{N}$\\ +DS10&Student Performance Math&30&395&3&$\mathbb{N*}$&$\mathbb{N}$\\ +\end{tabular} +\caption{Description des bases de données évaluées. (* après codification comme \textit{String})} +\label{tabBases} +\end{table} + +L'algorithme proposé est comparé à neuf algorithmes de régression bien connus et largement utilisés dans divers travaux de recherche et problèmes appliqués. La liste des algorithmes est présentée dans le tableau \ref{tabAlgs}. Tous les algorithmes ont été exécutés 100 fois, et les algorithmes qui nécessitent un entraînement et des validations croisées sont exécutés avec $k=10$.\\ + +\begin{table}[!ht] +\centering +\footnotesize +\begin{tabular}{ll|ll} +ID&Algorithm&ID&Algorithm\\ +\hline +A1&Linear Regression&A6&Polinomial Regression\\ +A2&K-Nearest Neighbor&A7&Ridge Regression\\ +A3&Decision Tree&A8&Lasso Regression\\ +A4&Random Forest (Ensemble)&A9&Gradient Boosting (Ensemble)\\ +A5&Multi Layer Perceptron&A10&Proposed Case Based Reasoning\\ +\end{tabular} +\caption{Liste des algorithmes évalués} +\label{tabAlgs} +\end{table} + +Le tableau \ref{tabRes1} présente le classement moyen de toutes les bases de données en fonction de l'erreur quadratique moyenne (RMSE). Les résultats détaillés des mêmes algorithmes et des mêmes bases de données, mais comparés avec la métrique MAE (Median Absolute Error), sont présentés dans le tableau \ref{tabRes2}.\\ + +\begin{table}[!ht] +\footnotesize +\centering +\begin{tabular}{c|ccccccccccc} +Dataset&A1&A2&A3&A4&A5&A6&A7&A8&A9&A10\\ +\hline +DS1&9.010&10.780&1.224&0.982&3.369&9.009&8.985&9.629&\textbf{0.668}&5.871\\ +DS2&0.022&0.025&0.020&0.012&0.017&0.022&0.022&0.037&\textbf{0.011}&0.015\\ +DS3&8.633&8.033&9.334&\textbf{7.203}&8.470&8.705&8.842&9.009&7.324&8.491\\ +DS4&0.651&0.746&0.782&\textbf{0.571}&0.694&0.651&0.651&0.792&0.617&0.762\\ +DS5&0.753&0.806&0.820&\textbf{0.599}&0.853&0.754&0.757&0.863&0.688&0.748\\ +DS6&10.439&8.871&6.144&\textbf{4.738}&6.553&10.423&10.422&10.428&5.053&8.766\\ +DS7&2.948&2.116&0.541&\textbf{0.465}&3.726&2.949&2.979&4.094&0.467&1.973\\ +DS8&1.315&1.161&1.513&\textbf{1.109}&1.566&1.303&1.308&1.318&1.125&2.157\\ +DS9&\textbf{2.304}&2.624&3.217&2.315&2.898&\textbf{2.304}&\textbf{2.304}&2.551&2.342&2.802\\ +DS10&3.052&3.404&4.158&\textbf{3.014}&3.607&3.061&3.061&3.150&3.020&3.874\\ +\hline +Avg. Rank&5.7&6.3&7.2&2.1&6.6&5.6&5.5&8.6&1.8&5.6\\ +\end{tabular} +\caption{Résultats de la métrique RMSE (Root Mean Squared Error) pour les bases de données évaluées avec des algorithmes de régression} +\label{tabRes1} +\end{table} + +\begin{table}[!ht] +\footnotesize +\centering +\begin{tabular}{c|ccccccccccc} +Dataset&A1&A2&A3&A4&A5&A6&A7&A8&A9&A10\\ +\hline +DS1&6.776&2.385&0.231&0.207&3.632&6.778&6.307&5.186&\textbf{0.162}&1.193\\ +DS2&0.015&0.017&0.012&0.008&0.012&0.015&0.015&0.030&\textbf{0.007}&0.011\\ +DS3&5.092&4.320&4.1&3.632&4.435&5.092&5.20&5.132&\textbf{3.504}&3.90\\ +DS4&0.413&0.495&0.18&0.325&0.451&0.413&0.412&0.544&0.387&\textbf{0.154}\\ +DS5&0.509&0.548&0.285&0.374&0.550&0.509&0.509&0.633&0.456&\textbf{0.113}\\ +DS6&6.989&5.709&3.134&\textbf{2.839}&4.306&6.989&6.989&6.986&3.084&5.439\\ +DS7&1.393&1.372&\textbf{0.217}&0.218&2.523&1.393&1.529&2.346&0.243&1.008\\ +DS8&0.549&0.297&0.365&\textbf{0.289}&0.742&0.549&0.549&0.540&0.309&0.861\\ +DS9&\textbf{1.496}&1.788&2.080&1.612&2.005&\textbf{1.496}&\textbf{1.496}&1.714&1.538&1.721\\ +DS10&2.344&2.534&2.910&2.331&2.543&2.344&2.344&2.481&\textbf{2.258}&2.602\\ +\hline +Avg. Rank&6.45&6.4&4.35&2.3&7.35&6.55&6.6&7.9&2.4&4.7\\ +\end{tabular} +\caption{Résultat de la métrique MAE (Median Absolute Error) pour les bases de données évaluées avec des algorithmes de régression} +\label{tabRes2} +\end{table} + +La dispersion globale, la médiane et les valeurs aberrantes pour quatre bases de données représentatives sont présentées dans la figure \ref{figBox}, où l'on peut voir que l'algorithme proposé génère plus de valeurs aberrantes que les autres algorithmes, mais la variance est faible et la convergence est proche de la valeur réelle, meilleure que la plupart des algorithmes comparés. + +\begin{figure} +\includegraphics[scale=0.2]{./Figures/boxplot.png} +\caption{Résultats de la métrique MAE (\textit{Median Absolute Error}) pour les dix algorithmes et quatre bases de données représentatives} +\label{figBox} +\end{figure} + +\section{Discussion} + +L'algorithme proposé révèle une performance compétitive par rapport à certains des algorithmes les plus populaires, les plus utilisés et les plus récents pour la prédiction dans les problèmes de régression. En particulier, dans ce travail, nous avons effectué les tests sur dix bases de données avec différentes caractéristiques, telles que : le nombre d'instances, le nombre de caractéristiques, le domaine des variables d'entrée, les dimensions de la variable de sortie et le domaine d'application. Cela démontre la polyvalence de l'algorithme proposé et son applicabilité à différentes configurations. Étant donné la nature exploratoire et stochastique de l'algorithme proposé, il présente une grande diversité de solutions générant plusieurs valeurs aberrantes, mais malgré cela, dans la plupart des cas, il est possible d'atteindre une solution approximative qui converge vers la solution réelle, c'est la raison pour laquelle, dans certains cas, les valeurs de la moyenne sont élevées, mais celles de la médiane restent faibles.\\ + +On constate également que l'intégration des algorithmes de recherche produit de meilleurs résultats que les algorithmes simples, comme dans le cas de l'algorithme proposé par rapport au KNN ou par rapport à la régression linéaire, bien que pour l'algorithme proposé, l'impact du premier et du deuxième empilement sur les résultats finaux obtenus n'ait pas été déterminé avec précision.\\ + +Globalement, pour le RMSE, les algorithmes de boosting sont plus performants que les algorithmes classiques, même si les performances sont variables. L'algorithme proposé obtient des valeurs acceptables dans toutes les bases de données. D'après la moyenne des positions de classement, pour le RMSE, il est placé à la sixième place, pour le MAE, l'algorithme obtient la meilleure valeur dans trois des dix bases de données et il est placé globalement à la troisième place.\\ + +Un aspect important de l'algorithme proposé est la fonction objective, qui peut être évaluée et modifiée dynamiquement en fonction des caractéristiques du problème évalué, étant donné que dans la présente étude les tests ont été effectués avec la fonction intuitive qui fournit une plus grande probabilité de sélection et d'évolution à la solution associée aux voisins les plus proches, mais il est possible de compléter l'évaluation avec d'autres termes pertinents et d'améliorer ainsi les résultats.\\ + +Outre les résultats, l'algorithme proposé présente plusieurs avantages par rapport aux algorithmes avec lesquels il a été comparé, parmi lesquels : il ne nécessite pas d'entraînement, il peut intégrer des algorithmes et des règles dans chaque pile et, grâce à la conception en deux cycles, il peut travailler avec des problèmes dynamiques en cours d'exécution et la variance est faible dans les résultats produits. + +\section{Conclusion} + +Ce chapitre propose une technique de régression générique utilisant le raisonnement basé sur les cas et le modèle d'empilement, dont les principales caractéristiques sont qu'elle ne nécessite pas de formation et que, grâce au cycle itératif interne, elle peut s'adapter à des problèmes dynamiques en temps réel. 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La plupart du contenu est extrait et traduit de l'article Soto \textit{et al.} \cite{Soto2}. + +Ce chapitre présente un modèle d'adaptation automatique en temps réel d'une session prédéterminée à l'intérieur du système AI-VT. Dans cette adaptation le processus fait partie d'un modèle global de raisonnement à partir de cas. Le modèle proposé est stochastique et a été testé avec trois scénarios différents. Les résultats montrent l'adaptation dynamique du modèle proposé, les adaptations obtenues aidant le système à évoluer plus rapidement et identifier les faiblesses des apprenants dans les différents niveaux de complexité ainsi que la génération de recommandations pertinentes dans des cas spécifiques pour chaque capacité d'apprenant. + +Le module mis en Å“uvre pour AI-VT est classé dans la catégorie des systèmes de recommandation. Les systèmes de recommandation dans les environnements d'apprentissage prennent en compte les exigences, les besoins, le profil, les talents, les intérêts et l'évolution de l'apprenant pour adapter et recommander des ressources ou des exercices dans le but d'améliorer l'acquisition et la maîtrise des concepts et des connaissances en général. L'adaptation de ces systèmes peut être de deux types, l'adaptation de la présentation qui montre aux apprenants des ressources d'étude en fonction de leurs faiblesses et l'adaptation de la navigation qui change la structure du cours en fonction du niveau et du style d'apprentissage de chaque apprenant \cite{MUANGPRATHUB2020e05227}. + +Les techniques de recommandation sont utiles dans les EIAH car elles peuvent détecter les changements et évoluer vers un état optimal, comme l'algorithme d'échantillonnage de Thompson (TS), qui est un algorithme de type probabiliste appartenant à la catégorie des algorithmes d'apprentissage par renforcement, où l'algorithme choisit au temps $t$ une action $a$ à partir d'un ensemble $A$, obtient une récompense pour l'action $a$ et, en fonction de la valeur de la récompense, ajuste sa stratégie de décision pour choisir au temps $t + 1$ une autre action $a$, dans le but de maximiser la récompense. Il est fondé sur le principe Bayésien, où il y a une distribution de probabilité a priori et avec les données obtenues une distribution de probabilité a posteriori est générée qui vise à maximiser l'estimation de la valeur attendue. Pour la variante de Bernoulli, où la récompense n'a que deux valeurs possibles 0 et 1 ou succès et échec, la distribution de base utilisée est la distribution Beta qui est définie sur [0, 1] et paramétrée par deux valeurs $\alpha$ et $\beta$ \cite{9870279}. + +\section{Modèle Proposé} + +Le modèle proposé, en tant que système de recommandation, prend en compte les notes antérieures des apprenants pour estimer leurs connaissances et leur maîtrise des différentes compétences, sous-compétences et niveaux de complexité au sein du système AI-VT, puis adapte les sessions pour maximiser l'acquisition des connaissances et la maîtrise des différents domaines contenus dans la même compétence définie. Le modèle est conçu comme une modification de l'algorithme d'échantillonnage de Thompson avec l'intégration de l'échantillonnage stratifié pour obtenir l'adaptation. + +On utilise la famille Beta de distributions de probabilité pour définir dynamiquement le nouveau niveau de complexité (équation \ref{eqBeta}) inspiré de l'algorithme d'échantillonnage de Thompson. Cette version du modèle permet de recommander des niveaux de complexité non contigus, mais la priorité est de recommander les niveaux dans lesquels des défauts ont été détectés. La paramétrisation initiale de toutes les distributions de probabilité peut forcer le modèle à recommander des niveaux de complexité contigus plus élémentaires. + +\begin{equation} +B(x, \alpha, \beta) = +\begin{cases} +\frac{x^{\alpha-1}(1-x)^{\beta - 1}}{\int_0^1 u^{\alpha - 1}(1-u)^{\beta - 1}du} & for \; x \in [0, 1] \\ +0&otherwise +\end{cases} +\label{eqBeta} +\end{equation} + +Les variables qui font partie du modèle sont spécifiées dans le tableau \ref{tabPar}. + +\begin{table}[!ht] +\centering +\begin{tabular}{ccc} +ID&Description&Domain\\ +\hline +$c_n$&Niveaux de complexité&$\mathbb{N} \; | \; c_n>0$\\ +$g_m$&Valeur maximale dans l'échelle des notes& $\mathbb{N} \;|\; g_m>0$ \\ +$g_t$&Seuil de notation &$(0, g_m) \in \mathbb{R}$\\ +$s$&Nombre de parcours définis&$\mathbb{N} \; | \; s>0$\\ +$s_c$&Parcours courant fixe défini&$[1, s] \in \mathbb{N}$\\ +$\Delta s$&Pas pour les paramètres de la distribution bêta dans le parcours $s$ &$(0,1) \in \mathbb{R}$\\ +$t_m$&Valeur maximale du temps de réponse&$\mathbb{R} \; | \; t_m>0$\\ +$g_{c}$&Note de l'apprenant à une question de complexité $c$&$[0, g_m] \in \mathbb{R}$\\ +$ng_c$&Grade de l'apprenant avec pénalisation du temps &$[0, g_m] \in \mathbb{R}$\\ +$t_{c}$&Le temps de réponse à une question de complexité $c$&$[0, t_m] \in \mathbb{R}$\\ +$ncl$&Nouveau niveau de complexité calculé&$\mathbb{N}$\\ +$\alpha_{c}$&Valeur de $\alpha$ dans la complexité $c$&$\mathbb{R} \; | \; \alpha_{c}>0$\\ +$\beta_{c}$&Valeur de $\beta$ dans la complexité $c$&$\mathbb{R} \; | \; \beta_{c}>0$\\ +$\Delta \beta$&Pas initial du paramètre bêta&$\mathbb{N} \; | \; \Delta \beta >0$\\ +$\lambda$&Poids de la pénalisation temporelle&$(0,1) \in \mathbb{R}$\\ +$G_c$&Ensemble de $d$ notes dans le niveau de complexité $c$&$\mathbb{R}^d \;, d\in \mathbb{N} \; | \; d>0$\\ +$x_c$&Notes moyennes normalisées&$[0, 1] \in \mathbb{R}$\\ +$n_c$&Nombre total de questions dans une session&$\mathbb{N} \; | \; n_c>0$\\ +$ny_c$&Nombre de questions dans le niveau de complexité $c$&$\mathbb{N} \; | \; 00$ + \item $max(rp_c(x))=1; \; if \; x_{0,c}+x_{1,c}=1$ + \item $min(rp_c(x))=0.1353; \; if \; \left ( \sum_{i=1}^2 x_{i,c}=0 \; \lor \; \sum_{i=1}^2 x_{i,c} = 2 \right )$\\ +\end{itemize} + +Dans l'équation \ref{eqMetric1}, $x_{0,c}$ est la moyenne normalisée des notes dans le niveau de complexité $c$ (équation \ref{eqXc}), et $x_{1,c}$ est le nombre normalisé de questions répondues dans le niveau de complexité $c$ (équation \ref{eqYc}). + +\begin{equation} +x_{0,c}=\frac{_{G_c}}{g_m} +\label{eqXc} +\end{equation} + +\begin{equation} +x_{1,c}=\frac{ny_c}{n_c} +\label{eqYc} +\end{equation} + +La figure \ref{figMetric} montre l'équation globale pour la métrique $rp$ dans le domaine de deux variables $x_{0,c}$ et $x_{1,c}$. La valeur maximale de $r$ dans un niveau de complexité spécifique est de 1, la valeur maximale globale pour les scénarios testés est de 5. Un bon système de recommandation devrait donc avoir une valeur $r$ élevée. + +\begin{figure} +\includegraphics[width=\textwidth]{./Figures/metric.png} +\caption{Métrique pour le parcours standard} +\label{figMetric} +\end{figure} + +Les résultats des calculs de la métrique établie pour le système original et les deux modèles dans les trois scénarios définis sont présentés dans le tableau \ref{tabRM}. + +\begin{table}[!ht] +\centering +\begin{tabular}{cccccccc} +&$c_0$&$c_1$&$c_2$&$c_3$&$c_4$&Total ($r$)&Total ($\%$)\\ +\hline +Test 1\\ +\hline +CBR&0.5388&-&-&-&-&0.5388&10.776\\ +DM&0.8821&0.7282&\textbf{0.9072}&\textbf{0.8759}&-&3.3934&67.868\\ +SM&\textbf{0.9463}&\textbf{0.8790}&0.7782&0.7108&0.6482&\textbf{3.9625}&79.25\\ +\hline +Test 2\\ +\hline +CBR&0.9445&\textbf{0.9991}&-&-&-&1.9436&38.872\\ +DM&-&0.9443&\textbf{0.8208}&\textbf{0.9623}&-&2.7274&54.548\\ +SM&\textbf{0.9688}&0.9861&0.8067&0.7161&0.6214&\textbf{4.0991}&81.982\\ +\hline +Test3\\ +\hline +CBR&-&0.8559&0.7377&-&-&1.5936&31.872 +\\ +DM&-&-&0.5538&\textbf{0.7980}&-&1.3518&27.036\\ +SM&0.9089&\textbf{0.9072}&\textbf{0.9339}&0.7382&0.6544&\textbf{4.1426}&82.852\\ +\end{tabular} +\caption{Résultats de la métrique $rp_c(x)$ (CBR - Système sans modèle de recommandation, DM - Modèle deterministique, SM - Modèle stochastique)} +\label{tabRM} +\end{table} + +Une métrique pour l'apprentissage en douceur est définie dans l'équation \ref{eqMetricS1} et l'équation \ref{eqMetricS2}, avec cette métrique un score élevé est attribué aux systèmes qui proposent plus d'exercices dans un niveau de complexité où les notes moyennes sont d'environ 0,4 et qui sont plus flexibles avec des notes moyennes plus basses, également si le nombre d'exercices proposés est faible pour des notes moyennes élevées. Les scores faibles sont attribués aux systèmes qui recommandent un nombre élevé de questions dans un niveau de complexité avec des notes moyennes élevées et si le nombre d'exercices recommandés est trop élevé ou trop faible pour les notes inférieures. + +\begin{equation} +rs_c(x)=e^{-\frac{2}{100}(32x_{0,c}^2-28x_{0,c}+10x_{1,c}-4)^2} ; \{x \in \mathbb{R}^2 | 0<=x<=1\} +\label{eqMetricS1} +\end{equation} + +\begin{equation} +r=\sum_{c=0}^{c_n-1} rs_c +\label{eqMetricS2} +\end{equation} + +Les propriétés de la métrique sont : +\begin{itemize} + \item $\{\forall x \in \mathbb{R}^2 | 0<=x<=1\}, rs_c(x)>0$ + \item $max(rs_c(x))=1; \; if \; 16x_{0,c}^2-14x_{0,c}+5x_{1,c}-2=0$\\ +\end{itemize} + +La figure \ref{figMetric2} montre l'équation globale pour la métrique $rs$ dans le domaine de deux variables $x_{0,c}$ et $x_{1,c}$. La valeur maximale de $r$ dans un niveau de complexité spécifique est de 1, la valeur maximale globale pour les scénarios testés est de 5, un bon système de recommandation doit donc avoir une valeur $r$ élevée. + +Les résultats du calcul des métriques pour le système original et les deux modèles dans les trois scénarios définis sont présentés dans le tableau \ref{tabRM2}. + +\begin{figure}[!ht] +\centering +\includegraphics[width=\textwidth]{./Figures/metric2.png} +\caption{Fonction d'évaluation métrique à chaque niveau de complexité (Soft learning)} +\label{figMetric2} +\end{figure} + +\begin{table}[!ht] +\centering +\begin{tabular}{cccccccc} +&$c_0$&$c_1$&$c_2$&$c_3$&$c_4$&Total ($r$)&Total ($\%$)\\ +\hline +Test 1\\ +\hline +CBR&\textbf{0.9979}&-&-&-&-&0.9979&\\ +DM&0.8994&0.1908&\textbf{0.3773}&\textbf{0.2990}&-&1.7665&\\ +SM&0.8447&\textbf{0.3012}&0.2536&0.2030&\textbf{0.1709}&\textbf{1.7734}&\\ +\hline +Test 2\\ +\hline +CBR&\textbf{0.4724}&\textbf{0.7125}&-&-&-&1.1849&\\ +DM&-&0.6310&\textbf{0.3901}&\textbf{0.4253}&-&1.4464&\\ +SM&0.2697&0.7089&0.2634&0.2026&\textbf{0.1683}&\textbf{1.6129}&\\ +\hline +Test3\\ +\hline +CBR&-&\textbf{0.9179}&0.2692&-&-&1.1871& +\\ +DM&-&-&0.2236&\textbf{0.9674}&-&1.191&\\ +SM&0.1873&0.3038&\textbf{0.6345}&0.2394&\textbf{0.1726}&\textbf{1.5376}&\\ +\end{tabular} +\caption{Résultats de la métrique $rs_c(x)$ (CBR - Système sans modèle de recommandation, DM - Modèle deterministique, SM - Modèle stochastique)} +\label{tabRM2} +\end{table} + +Pour comparer le système original et le modèle de recommandation, est utilisée la métrique de la diversité des propositions, avec la similarité en cosinus (La similarité en cosinus entre un vecteur $A$ et un vecteur $B$, Équation \ref{eqCS}) entre toutes les propositions des apprenants. Les résultats de la similarité cosinus moyenne sont présentés dans le tableau \ref{tabCS}. + +\begin{equation} +sc=\frac{\sum_{i=1}^n A_i B_i}{\sqrt{\sum_{i=1}^n A_i^2} \sqrt{\sum_{i=1}^n B_i^2}} +\label{eqCS} +\end{equation} + +\begin{table}[!ht] +\centering +\begin{tabular}{cccc} +Model&Scenario 1&Scenario 2&Scenario 3\\ +\hline +CBR&1&1&1\\ +DM&0.9540&0.9887&0.9989\\ +SM&\textbf{0.8124}&\textbf{0.8856}&\textbf{0.9244}\\ +\end{tabular} +\caption{Moyenne de la diversité des propositions pour tous les apprenants. Une valeur plus faible représente une plus grande diversité. (CBR - Système sans modèle de recommandation, DM - Modèle deterministique, SM - Modèle stochastique)} +\label{tabCS} +\end{table} + +\section{Discussion et Conclusions} +Avec la génération d'exercices CBR, le système propose les mêmes exercices à tous les apprenants, et l'évolution des niveaux de complexité est très lente, presque un changement toutes les 3 ou 4 sessions, ceci parce que le système ne prend pas en compte les notes obtenues pendant la session. Les systèmes de recommandation sont plus dynamiques et les évolutions sont plus rapides mais en considérant les notes des apprenants, le modèle déterministe suggère des changements de niveaux à un grand nombre d'apprenants soudainement parce qu'ils sont regroupés à l'intérieur d'un intervalle de taux de maîtrise, alors que le modèle stochastique est plus axé sur la personnalisation individuelle et les changements de niveau de complexité sont produits pour un petit nombre d'apprenants. Les deux modèles proposés ont la capacité de détecter les faiblesses des apprenants et d'adapter la session à leurs besoins particuliers. + +La base de données générée a permis de simuler diverses situations avec les notes de 1000 apprenants, permettant ainsi d'évaluer le comportement des systèmes de recommandation avec différentes configurations. + +Les résultats numériques utilisant la métrique définie montrent que les distributions des questions dans une session par les deux versions du modèle de recommandation sont différentes mais avec une tendance générale similaire pour tous les apprenants. Le modèle proposé tente de répartir les questions dans tous les niveaux de complexité définis. Globalement, avec la métrique définie, le modèle stochastique a obtenu un meilleur score. Par rapport au système original, le modèle de recommandation (versions déterministe et stochastique) obtient une augmentation globale de l'adaptabilité comprise entre 15\% et 68\% pour tous les niveaux de complexité. + +Selon la métrique de la similarité cosinus, le modèle de recommandation proposé augmente la diversité des propositions par rapport au système original dans les trois scénarios évalués, ce qui indique qu'en plus d'atteindre l'adaptabilité, des propositions personnalisées sont générées tout en maintenant l'objectif de faire progresser les apprenants entre les niveaux de complexité. La diversité des propositions est une caractéristique essentielle du modèle de recommandation dans ses deux versions. + +Les modules de recommandation sont une pièce essentielle pour les systèmes ITS car ils aident à guider le processus d'apprentissage individuel, permettent d'identifier les faiblesses et de réorienter le processus complet afin d'améliorer les connaissances et les compétences. Les versions du modèle proposé peuvent détecter en temps réel les faiblesses de l'apprenant et tentent de réorienter la session vers le meilleur niveau de complexité possible afin d'aider l'apprenant à acquérir et à maîtriser les connaissances avant de passer aux niveaux de complexité supérieurs, car généralement les connaissances des niveaux de complexité inférieurs sont nécessaires pour compléter les niveaux supérieurs. Même si l'ensemble de données généré est une simulation des temps de réponse et des notes des apprenants, les tests qui l'utilisent permettent de voir la flexibilité et la robustesse du modèle de recommandation proposé, car les données relatives aux apprenants présentent une grande diversité et obligent le système à s'adapter à différents types de configurations. Par conséquent, il est possible de conclure que le modèle de recommandation proposé a la capacité de fonctionner dans différentes situations et dans chaque cas de proposer des chemins alternatifs pour améliorer le processus d'apprentissage global, même si l'objectif d'apprentissage est différent pour chaque apprenant, comme le démontrent les résultats obtenus dans l'évaluation des deux métriques proposées. Le modèle proposé permet également la diversité et la personnalisation du système, puisque selon les résultats de la comparaison avec la similarité cosinus entre toutes les recommandations générées pour chaque apprenant, il y a une augmentation par rapport au système original. diff --git a/main.aux b/main.aux index 9ccc543..3870925 100644 --- a/main.aux +++ b/main.aux @@ -33,14 +33,19 @@ \@writefile{toc}{\contentsline {part}{II\hspace {1em}État de l'art}{21}{part.2}\protected@file@percent } \@input{./chapters/EIAH.aux} \@input{./chapters/CBR.aux} -\@writefile{toc}{\contentsline {part}{III\hspace {1em}Contributions}{35}{part.3}\protected@file@percent } +\@writefile{toc}{\contentsline {part}{III\hspace {1em}Contributions}{37}{part.3}\protected@file@percent } \@input{./chapters/Architecture.aux} +\@input{./chapters/TS.aux} +\@input{./chapters/ESCBR.aux} \bibstyle{apalike} \bibdata{main.bib} \bibcite{doi:10.3233/AIC-1994-7104}{Aamodt and Plaza, 1994} +\bibcite{Arthurs}{Arthurs et~al., 2019} \bibcite{Auer}{Auer et~al., 2021} +\bibcite{BAKUROV2021100913}{Bakurov et~al., 2021} \bibcite{10.1007/978-3-642-15973-2_50}{Butdee and Tichkiewitch, 2011} \bibcite{CHIU2023100118}{Chiu et~al., 2023} +\bibcite{cmc.2023.033417}{Choi et~al., 2023} \bibcite{Riesbeck1989}{C.K. and R.C., 1989} \bibcite{10.1145/3459665}{Cunningham and Delany, 2021} \bibcite{EZALDEEN2022100700}{Ezaldeen et~al., 2022} @@ -59,8 +64,11 @@ \bibcite{LALITHA2020583}{Lalitha and Sreeja, 2020} \bibcite{min8100434}{Leikola et~al., 2018} \bibcite{10.1007/978-3-030-58342-2_20}{Lepage et~al., 2020} +\bibcite{10.3389/fgene.2021.600040}{Liang et~al., 2021} \bibcite{9870279}{Lin, 2022} \bibcite{10.1007/978-3-319-61030-6_1}{Maher and Grace, 2017} +\bibcite{Liang}{Mang et~al., 2021} +\bibcite{doi:10.1137/23M1592420}{Minsker and Strawn, 2024} \bibcite{MUANGPRATHUB2020e05227}{Muangprathub et~al., 2020} \bibcite{Muller}{Müller and Bergmann, 2015} \bibcite{Nkambou}{Nkambou et~al., 2010} @@ -76,7 +84,9 @@ \bibcite{9072123}{Sinaga and Yang, 2020} \bibcite{10.1007/978-3-030-01081-2_25}{Smyth and Cunningham, 2018} \bibcite{10.1007/978-3-030-58342-2_8}{Smyth and Willemsen, 2020} -\bibcite{10.1007/978-3-031-63646-2_13}{Soto-Forero et~al., 2024} +\bibcite{Soto2}{Soto-Forero et~al., 2024a} +\bibcite{10.1007/978-3-031-63646-2_13}{Soto-Forero et~al., 2024b} +\bibcite{10.1007/978-3-031-63646-2_11}{Soto-Forero et~al., 2024c} \bibcite{SU2022109547}{Su et~al., 2022} \bibcite{8495930}{Supic, 2018} \bibcite{WANG2021331}{Wang et~al., 2021} @@ -85,4 +95,4 @@ \bibcite{ZHAO2023118535}{Zhao et~al., 2023} \bibcite{Zhou2021}{Zhou and Wang, 2021} \bibcite{jmse10040464}{Zuluaga et~al., 2022} -\gdef \@abspage@last{58} +\gdef \@abspage@last{84} diff --git a/main.bbl b/main.bbl index af8180c..491e34e 100644 --- a/main.bbl +++ b/main.bbl @@ -6,11 +6,23 @@ Aamodt, A. and Plaza, E. (1994). and system approaches. \newblock {\em AI Communications}, 7(1):39--59. +\bibitem[Arthurs et~al., 2019]{Arthurs} +Arthurs, N., Stenhaug, B., Karayev, S., and Piech, C. (2019). +\newblock Grades are not normal: Improving exam score models using the + logit-normal distribution. +\newblock In {\em International Conference on Educational Data Mining (EDM)}, + page~6. + \bibitem[Auer et~al., 2021]{Auer} Auer, F., Lenarduzzi, V., Felderer, M., and Taibi, D. (2021). \newblock From monolithic systems to microservices: An assessment framework. \newblock {\em Information and Software Technology}, 137:106600. +\bibitem[Bakurov et~al., 2021]{BAKUROV2021100913} +Bakurov, I., Castelli, M., Gau, O., Fontanella, F., and Vanneschi, L. (2021). +\newblock Genetic programming for stacked generalization. +\newblock {\em Swarm and Evolutionary Computation}, 65:100913. + \bibitem[Butdee and Tichkiewitch, 2011]{10.1007/978-3-642-15973-2_50} Butdee, S. and Tichkiewitch, S. (2011). \newblock Case-based reasoning for adaptive aluminum extrusion die design @@ -24,6 +36,12 @@ Chiu, T.~K., Xia, Q., Zhou, X., Chai, C.~S., and Cheng, M. (2023). research recommendations of artificial intelligence in education. \newblock {\em Computers and Education: Artificial Intelligence}, 4:100118. +\bibitem[Choi et~al., 2023]{cmc.2023.033417} +Choi, J., Suh, D., and Otto, M.-O. (2023). +\newblock Boosted stacking ensemble machine learning method for wafer map + pattern classification. +\newblock {\em Computers, Materials \& Continua}, 74(2):2945--2966. + \bibitem[C.K. and R.C., 1989]{Riesbeck1989} C.K., R. and R.C., S. (1989). \newblock {\em Inside Case-Based Reasoning}. @@ -141,6 +159,12 @@ Lepage, Y., Lieber, J., Mornard, I., Nauer, E., Romary, J., and Sies, R. Research and Development}, pages 309--324, Cham. Springer International Publishing. +\bibitem[Liang et~al., 2021]{10.3389/fgene.2021.600040} +Liang, M., Chang, T., An, B., Duan, X., Du, L., Wang, X., Miao, J., Xu, L., + Gao, X., Zhang, L., Li, J., and Gao, H. (2021). +\newblock A stacking ensemble learning framework for genomic prediction. +\newblock {\em Frontiers in Genetics}, 12. + \bibitem[Lin, 2022]{9870279} Lin, B. (2022). \newblock Evolutionary multi-armed bandits with genetic thompson sampling. @@ -155,6 +179,18 @@ Maher, M.~L. and Grace, K. (2017). Research and Development}, pages 3--15, Cham. Springer International Publishing. +\bibitem[Mang et~al., 2021]{Liang} +Mang, L., Tianpeng, C., Bingxing, A., Xinghai, D., Lili, D., Xiaoqiao, W., + Jian, M., Lingyang, X., Xue, G., Lupei, Z., Junya, L., and Huijiang, G. + (2021). +\newblock A stacking ensemble learning framework for genomic prediction. +\newblock {\em Frontiers in Genetics}. + +\bibitem[Minsker and Strawn, 2024]{doi:10.1137/23M1592420} +Minsker, S. and Strawn, N. (2024). +\newblock The geometric median and applications to robust mean estimation. +\newblock {\em SIAM Journal on Mathematics of Data Science}, 6(2):504--533. + \bibitem[Muangprathub et~al., 2020]{MUANGPRATHUB2020e05227} Muangprathub, J., Boonjing, V., and Chamnongthai, K. (2020). \newblock Learning recommendation with formal concept analysis for intelligent @@ -248,14 +284,28 @@ Smyth, B. and Willemsen, M.~C. (2020). Research and Development}, pages 112--126, Cham. Springer International Publishing. -\bibitem[Soto-Forero et~al., 2024]{10.1007/978-3-031-63646-2_13} -Soto-Forero, D., Ackermann, S., Betbeder, M.-L., and Henriet, J. (2024). +\bibitem[Soto-Forero et~al., 2024a]{Soto2} +Soto-Forero, D., Ackermann, S., Betbeder, M.-L., and Henriet, J. (2024a). +\newblock Automatic real-time adaptation of training session difficulty using + rules and reinforcement learning in the ai-vt its. +\newblock {\em International Journal of Modern Education and Computer + Science(IJMECS)}, 16:56--71. + +\bibitem[Soto-Forero et~al., 2024b]{10.1007/978-3-031-63646-2_13} +Soto-Forero, D., Ackermann, S., Betbeder, M.-L., and Henriet, J. (2024b). \newblock The intelligent tutoring system ai-vt with case-based reasoning and real time recommender models. \newblock In Recio-Garcia, J.~A., Orozco-del Castillo, M.~G., and Bridge, D., editors, {\em Case-Based Reasoning Research and Development}, pages 191--205, Cham. Springer Nature Switzerland. +\bibitem[Soto-Forero et~al., 2024c]{10.1007/978-3-031-63646-2_11} +Soto-Forero, D., Betbeder, M.-L., and Henriet, J. (2024c). +\newblock Ensemble stacking case-based reasoning for regression. +\newblock In Recio-Garcia, J.~A., Orozco-del Castillo, M.~G., and Bridge, D., + editors, {\em Case-Based Reasoning Research and Development}, pages 159--174, + Cham. Springer Nature Switzerland. + \bibitem[Su et~al., 2022]{SU2022109547} Su, Y., Cheng, Z., Wu, J., Dong, Y., Huang, Z., Wu, L., Chen, E., Wang, S., and Xie, F. (2022). diff --git a/main.bib b/main.bib index ff86bf8..7f4ab91 100644 --- a/main.bib +++ b/main.bib @@ -1501,19 +1501,6 @@ abstract = {Education is crucial for a productive life and providing necessary r year = {2024} } -@Inproceedings{Arthurs, -author={Arthurs, Noah and Stenhaug, Ben and Karayev, Sergey and Piech, Chris}, -booktitle={International Conference on Educational Data Mining (EDM)}, -title={Grades Are Not Normal: Improving Exam Score Models Using the Logit-Normal Distribution}, -year={2019}, -type={article}, -language={English}, -volume={}, -number={}, -pages={6}, -url={https://eric.ed.gov/?id=ED599204} -} - @article{HAZEM, author = {Hazem A. Alrakhawi and Nurullizam Jamiat and Samy S. 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