diff --git a/chapters/ESCBR.tex b/chapters/ESCBR.tex index d64ea7a..ef1b19d 100644 --- a/chapters/ESCBR.tex +++ b/chapters/ESCBR.tex @@ -3,18 +3,18 @@ \section{Introduction} -Ce chapitre est divisé en deux parties. La première partie présente un modèle fondé sur le raisonnement à partir de cas et les méthodes d'ensemble avec un double empilement itératif. Nous l'avons baptisé \textit{ESCBR} (\textit{Ensemble Stacking Case Based Reasoning}). Ce processus se fait en deux étapes pour trouver des solutions approximatives à des problèmes de régression unidimensionnels et multidimensionnels. Une partie de cette proposition est publiée dans \cite{10.1007/978-3-031-63646-2_11}. La seconde partie montre la conception et l'implémentation d'un SMA intégré à l'ESCBR présenté dans la première partie. Nous considérons dans ce chapitre que le choix des exercices les plus adaptés revient à résoudre un problème de régression. C'est la raison pour laquelle nous testons notre approche sur des jeux de données classiques de régression. -Le modèle présenté dans cette seconde partie associe un raisonnement à partir de cas à des systèmes multi-agents cognitifs implémentant un raisonnement Bayésien. Cette association, combinant échange d'informations entre agents et apprentissage par renforcement, permet l'émergence de prédictions plus précises et améliore ainsi les performances d'ESCBR \cite{10.1007/978-3-031-63646-2_11}.\\ +Ce chapitre est divisé en deux parties. La première partie présente un algorithme fondé sur le raisonnement à partir de cas et les méthodes d'ensemble avec un double empilement itératif. Nous l'avons baptisé \textit{ESCBR} (\textit{Ensemble Stacking Case Based Reasoning}). Ce processus se fait en deux étapes pour trouver des solutions approximatives à des problèmes de régression unidimensionnels et multidimensionnels. Une partie de cette proposition est publiée dans \cite{10.1007/978-3-031-63646-2_11}. La seconde partie montre la conception et l'implémentation d'un SMA intégré à l'ESCBR présenté dans la première partie. Nous considérons dans ce chapitre que le choix des exercices les plus adaptés revient à résoudre un problème de régression. C'est la raison pour laquelle nous testons notre approche sur des jeux de données classiques de régression. +L'algorithme présenté dans cette seconde partie associe un raisonnement à partir de cas à des systèmes multi-agents cognitifs implémentant un raisonnement Bayésien. Cette association, combinant échange d'informations entre agents et apprentissage par renforcement, permet l'émergence de prédictions plus précises et améliore ainsi les performances d'ESCBR \cite{10.1007/978-3-031-63646-2_11}.\\ Avant de présenter nos propositions, rappelons quelques caractéristiques importantes des outils combinés dans notre approche. Le système de raisonnement à partir de cas ne nécessite pas d'entrainement, et peut fonctionner avec des données dynamiques au moment de l'exécution. Les solutions proposées par notre système de RàPC sont générées à l'aide d'algorithmes stochastiques guidant l'exploration de l'espace des solutions. L'évaluation des solutions possibles est effectuée en transformant le problème de régression en un problème d'optimisation avec une fonction objectif associée. La fonction objectif calcule un rapport de la distance entre la solution générée et les solutions connues avec les problèmes à résoudre et les problèmes connus. La définition formelle se trouve dans la section 6.2.1.3. %\colorbox{yellow}{Il faut expliquer en quelques mots ce que fait cette fonction objectif}\\ -Les prédictions de ce nouvel algorithme ont été comparées à celles de neuf algorithmes de régression classiques sur dix jeux de données pour la régression extraits du site de l'UCI \cite{UCI}. En évaluant les résultats obtenus selon la métrique RMSE (Erreur quadratique moyenne - \textit{Root Mean Squared Error}), ce nouvel algorithme se classe parmi les six meilleurs. Selon la métrique MAE (Erreur moyenne absolue - \textit{Mean Absolute Error}) il est le troisième meilleur algorithme des dix évalués, ce qui suggère que les résultats produits par ESCBR sont raisonnablement saitsfaisants. +Les prédictions de ce nouvel algorithme ont été comparées à celles de neuf algorithmes de régression classiques sur dix jeux de données pour la régression extraits du site de l'UCI \cite{UCI}. En évaluant les résultats obtenus selon la métrique RMSE (Erreur quadratique moyenne - \textit{Root Mean Squared Error}), ce nouvel algorithme se classe parmi les six meilleurs. Selon la métrique MAE (Erreur moyenne absolue - \textit{Mean Absolute Error}) il est le troisième meilleur algorithme des dix évalués, ce qui suggère que les résultats produits par ESCBR sont raisonnablement satisfaisants. -Les méthodes d'ensemble permettent de résoudre des problèmes de classification et de régression en combinant les résultats de plusieurs modèles exécutés indépendamment. Certaines de ces méthodes utilisent des modèles différents et des ensembles de données différents tandis que d'autres utilisent les mêmes modèles avec des paramètres différents. La combinaison des résultats provenant de multiples modèles peut être réalisée selon différentes stratégies comme l'application de règles simples ou des approches plus complexes \cite{BAKUROV2021100913}. Plusieurs travaux de recherche explorent la possibilité d'utiliser cette méthode d'ensemble en la combinant à des outils d'apprentissage automatique. +La technique d'ensemble permet de résoudre des problèmes de classification et de régression en combinant les résultats de plusieurs algorithmes exécutés indépendamment. Certaines de ces méthodes utilisent des algorithmes différents et des ensembles de données différents tandis que d'autres utilisent les mêmes algorithmes avec des paramètres différents. La combinaison des résultats provenant de multiples algorithmes peut être réalisée selon différentes stratégies comme l'application de règles simples ou des approches plus complexes \cite{BAKUROV2021100913}. Plusieurs travaux de recherche explorent la possibilité d'utiliser cette technique d'ensemble en la combinant à des outils d'apprentissage automatique. -Les méthodes d'apprentissage automatique appliquées à la régression permettent quant à elles de prédire des valeurs pour différents types de problèmes en construisant, évaluant et formant des modèles linéaires et non linéaires complexes. Mais il est possible d'en améliorer la précision en les associant. Les stratégies d'intégration les plus courantes utilisées pour l'apprentissage d'ensemble sont le \textit{Stacking} (empilement), le \textit{Boosting} (stimulation) et le \textit{Bagging} (ensachage) \cite{Liang}. Le \textit{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. Plusieurs études démontrent que l'association de ces techniques permet d'améliorer la précision des résultats \cite{cmc.2023.033417}. Dans ces méthodes d'empilement, les algorithmes de base sont appelés \textit{niveau-0}. Il s'agit généralement de modèles ou d'algorithmes d'apprentissage automatique hétérogènes qui travaillent tous avec les mêmes données. Le méta-algorithme (appelé \textit{niveau-1}) qui unifie les résultats peut être une autre technique d'apprentissage automatique ou un ensemble de règles qui reçoit en entrée les résultats des algorithmes de \textit{niveau-0} \cite{10.3389/fgene.2021.600040}. +Les méthodes d'apprentissage automatique appliquées à la régression permettent quant à elles de prédire des valeurs pour différents types de problèmes en construisant, évaluant et formant des algorithmes linéaires et non linéaires complexes. Mais il est possible d'en améliorer la précision en les associant. Les stratégies d'intégration les plus courantes utilisées pour l'apprentissage d'ensemble sont le \textit{Stacking} (empilement), le \textit{Boosting} (stimulation) et le \textit{Bagging} (ensachage) \cite{Liang}. Le \textit{Stacking} est une technique d'apprentissage profond d'ensemble dont l'objectif est d'utiliser diverses algorithmes d'apprentissage automatique pour surmonter les limites des algorithmes individuels. Plusieurs études démontrent que l'association de ces algorithmes permet d'améliorer la précision des résultats \cite{cmc.2023.033417}. Dans ces méthodes d'empilement, les algorithmes de base sont appelés \textit{niveau-0}. Il s'agit généralement d'algorithmes d'apprentissage automatique hétérogènes qui travaillent tous avec les mêmes données. Le méta-algorithme (appelé \textit{niveau-1}) qui unifie les résultats peut être une autre technique d'apprentissage automatique ou un ensemble de règles qui reçoit en entrée les résultats des algorithmes de \textit{niveau-0} \cite{10.3389/fgene.2021.600040}. La modélisation de systèmes implémentant différentes techniques d'apprentissage nous amène tout naturellement à considérer les avantages et inconvénients proposés par un système multi-agents. Un SMA est un système décentralisé composé de plusieurs entités appelées agents qui ont la capacité d'effectuer des actions spécifiques et de réagir à l'environnement en fonction des informations partielles à leur disposition. Ils peuvent également collaborer les uns avec les autres et coopérer pour atteindre un objectif spécifique. À partir des informations qu'ils perçoivent et échangent, les agents peuvent apprendre de manière autonome et atteindre leurs objectifs efficacement \cite{KAMALI2023110242}. Les actions d'un système multi-agents peuvent être exécutées en parallèle grâce à l'indépendance des agents. Ils sont également robustes aux problèmes présentant une incertitude \cite{DIDDEN2023338}. @@ -26,7 +26,7 @@ Cette section présente la première version de l'algorithme que nous avons con \subsection{Algorithme Proposé} -L'algorithme proposé, ESCBR (\textit{Ensemble Stacking Case-Based Reasoning}), est fondé sur le paradigme générique du RàPC combiné à plusieurs algorithmes de recherche de voisins et de génération de solutions. Ces algorithmes ont été intégrés selon une variation du modèle d'empilement 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 d'empilement stockent dans la mémoire des conteneurs de connaissances du système de RàPC des informations qui aident non seulement à l'apprentissage de l'algorithme au fil des itérations, mais facilitent également la génération de solutions à divers problèmes sur différents ensembles de données sans nécessité d'entraînement préalable. La conception itérative en deux cycles améliore la capacité du système de RàPC à travailler et à s'adapter à des problèmes dynamiques en cours d'exécution, comme le montre la figure \ref{figNCBR1}. +L'algorithme proposé, ESCBR (\textit{Ensemble Stacking Case-Based Reasoning}), est fondé sur le paradigme générique du RàPC combiné à plusieurs algorithmes de recherche de voisins et de génération de solutions. Ces algorithmes ont été intégrés selon une variation de l'empilement 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 d'empilement stockent dans la mémoire des conteneurs de connaissances du système de RàPC des informations qui aident non seulement à l'apprentissage de l'algorithme au fil des itérations, mais facilitent également la génération de solutions à divers problèmes sur différents ensembles de données sans nécessité d'entraînement préalable. La conception itérative en deux cycles améliore la capacité du système de RàPC à travailler et à s'adapter à des problèmes dynamiques en cours d'exécution, comme le montre la figure \ref{figNCBR1}. \begin{figure}[!ht] \centering @@ -60,23 +60,23 @@ $m$&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&$\mathbb{N}, r_b>2$\\ +$r_a$&v&Nombre d'algorithmes pour l'étape retrouver&$\mathbb{N}, r_a>2$\\ +$r_b$&v&Nombre d'algorithmes 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 $i$&$\mathbb{N}, nl_i \le nl$\\ +$nl_i$&v&Nombre de voisins locaux pour l'algorithme $i$&$\mathbb{N}, nl_i \le nl$\\ $g$&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 retrouver entre $x_1$ et $x_2$&$\mathbb{R}^{a \times z}$\\ -$MS(x_1^m)$&f&Fonction du modèle pour réutiliser avec $x_1$ &$\mathbb{R}^m$\\ +$MP(x_1^z,x_2,a)$&f&Fonction pour retrouver entre $x_1$ et $x_2$&$\mathbb{R}^{a \times z}$\\ +$MS(x_1^m)$&f&Fonction 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)} +\caption{Variables et paramètres de l'algorithme proposé (Type: p - paramètre, v - variable, f - fonction)} \label{tabVarPar} \end{table} \subsubsection{Rechercher} -La première étape de l'algorithme consiste à trouver les cas les plus similaires à un nouveau cas (appelé \textit{cas cible}). Pour ce faire, le modèle d'empilement de différents processus présenté sur la figure \ref{figSta1} est utilisé. Au niveau-0, chaque processus sélectionne et exécute un algorithme de recherche de voisins différents choisi 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 œuvre pour l'étape de récupération : KNN (\textit{K Nearest Neighbors} - K plus proches voisins), KMeans, GMM (\textit{Gaussian Mixture Model}), FuzzyC et KNN Ponderation. +La première étape de l'algorithme consiste à trouver les cas les plus similaires à un nouveau cas (appelé \textit{cas cible}). Pour ce faire, l'empilement de différents processus présenté sur la figure \ref{figSta1} est utilisé. Au niveau-0, chaque processus sélectionne et exécute un algorithme de recherche de voisins différents choisi parmi $r_a$ algorithmes 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 œuvre pour l'étape de récupération : KNN (\textit{K Nearest Neighbors} - K plus proches voisins), KMeans, GMM (\textit{Gaussian Mixture Model}), FuzzyC et KNN Ponderation. \begin{figure} \centering @@ -85,12 +85,12 @@ La première étape de l'algorithme consiste à trouver les cas les plus similai \label{figSta1} \end{figure} -Formellement, le premier modèle d'empilement proposé fonctionne avec deux paramètres : %\textcolor{red}{quels sont les 2 paramètres?} -une base de données de $z$ cas où 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 cas cible. Ainsi, pour chaque algorithme $j$ exécuté, l'ensemble $X_j=\{x_1,x_2,. ..,x_z \; | \; x_i=MP_i((p^n)^z, p_w^n,nl_i) \}$ est généré. Au niveau-1, un ensemble global est créé à l'aide de tous les ensembles locaux $j$ $X_g=\cup_{n=1}^{ng} min \ ; ((\cup_{j=1}^{np} X_j)-X_g)$. Le résultat du premier modèle d'empilement est l'ensemble $X_g$ avec les $ng$ voisins les plus proches. +Formellement, le premier empilement proposé fonctionne avec deux paramètres : %\textcolor{red}{quels sont les 2 paramètres?} +une base de données de $z$ cas où 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 cas cible. Ainsi, pour chaque algorithme $j$ exécuté, l'ensemble $X_j=\{x_1,x_2,. ..,x_z \; | \; x_i=MP_i((p^n)^z, p_w^n,nl_i) \}$ est généré. Au niveau-1, un ensemble global est créé à l'aide de tous les ensembles locaux $j$ $X_g=\cup_{n=1}^{ng} min \ ; ((\cup_{j=1}^{np} X_j)-X_g)$. Le résultat du premier empilement est l'ensemble $X_g$ avec les $ng$ voisins les plus proches. \subsubsection{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 cas cible, en suivant le processus et les flux d'informations représentés sur la figure \ref{figAuto}. La génération est effectuée avec un deuxième modèle d'empilement de différents processus. Ce modèle d'empilement est représenté sur 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 $C2$. Au niveau-1, toutes les solutions générées sont stockées dans une mémoire globale. Toutes les solutions connues et générées sont représentées avec la même structure comme le montre la figure \ref{figSolRep}. +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 cas cible, en suivant le processus et les flux d'informations représentés sur la figure \ref{figAuto}. La génération est effectuée avec un deuxième empilement de différents processus. Cet empilement est représenté sur la figure \ref{figSta2}. Au niveau-0, chaque processus sélectionne et exécute un algorithme de génération différent à partir des algorithmes $r_b$ dans le conteneur $C2$. Au niveau-1, toutes les solutions générées sont stockées dans une mémoire globale. Toutes les solutions connues et générées sont représentées avec la même structure comme le montre la figure \ref{figSolRep}. \begin{figure}[!ht] \centering @@ -193,7 +193,7 @@ k \sim \left(\frac{1}{nl}\right) \label{figSta2} \end{figure} -La description des solutions $s$ et l'ensemble $(s^m)^{ng}$ sont les paramètres du deuxième modèle d'empilement. Chaque modèle décrit ci-dessus génère une solution candidate $s_{i,c}=MS_i((s^m)^{ng})$. Vient ensuite la construction de l'ensemble d'unification de toutes les solutions candidates $Y_g= \cup_{i=1}^{np} s_{i,c}$ (niveau-1). Cet ensemble est évalué à l'aide d'une fonction permettant de déterminer la qualité de la solution. +La description des solutions $s$ et l'ensemble $(s^m)^{ng}$ sont les paramètres du deuxième empilement. Chaque algorithme décrit ci-dessus génère une solution candidate $s_{i,c}=MS_i((s^m)^{ng})$. Vient ensuite la construction de l'ensemble d'unification de toutes les solutions candidates $Y_g= \cup_{i=1}^{np} s_{i,c}$ (niveau-1). Cet ensemble est évalué à l'aide d'une fonction permettant de déterminer la qualité de la solution. \subsubsection{Révision} @@ -339,15 +339,15 @@ De plus, ESCBR peut intégrer des algorithmes différents et des règles spécif \subsection{Conclusion} -Ce chapitre propose une technique de régression générique utilisant le raisonnement à partir de cas et le modèle d'empilement que nous avons baptisé ESCBR. Ce modèle ne nécessite pas d'entrainement préalable et grâce au cycle itératif interne, il peut s'adapter à des problèmes dynamiques en temps réel. Les résultats numériques obtenus lors des tests effectués montrent le potentiel de l'algorithme avec des données variées et des jeux de données de différentes tailles. Les tests effectués dans cette première partie de chapitre montrent ainsi la compétitivité d'ESCBR par rapport à d'autres algorithmes standards et robustes couramment utilisés pour résoudre des problèmes de régression.\\\\ +Ce chapitre propose une technique de régression générique utilisant le raisonnement à partir de cas et une technique d'empilement que nous avons baptisé ESCBR. Cet algorithme ne nécessite pas d'entrainement préalable et grâce au cycle itératif interne, il peut s'adapter à des problèmes dynamiques en temps réel. Les résultats numériques obtenus lors des tests effectués montrent le potentiel de l'algorithme avec des données variées et des jeux de données de différentes tailles. Les tests effectués dans cette première partie de chapitre montrent ainsi la compétitivité d'ESCBR par rapport à d'autres algorithmes standards et robustes couramment utilisés pour résoudre des problèmes de régression.\\\\ \section{ESCBR-SMA : Introduction des systèmes multi-agents dans ESCBR} La méthode ESCBR que nous avons proposée dans la section précédente est fondée sur une technique d'apprentissage d'ensemble par empilement. Cette technique mettant en oeuvre plusieurs solutions proposées par des processus intelligents et concurrents pour en générer une, nous nous sommes tout naturellement tournés vers la possibilité d'inclure des agents dans le processus de décision. L'une des ambitions des systèmes multi-agents consiste en effet à faire émerger une intelligence collective capable de fournir une solution. Cette section présente donc l'évolution d'ESCBR en ESCBR-SMA. -\subsection{Modèle Proposé} +\subsection{Algorithme Proposé} -L'algorithme ESCBR-SMA est fondé sur le paradigme du RàPC et incorpore divers algorithmes de recherche de voisins et de génération de solutions. Ceux-ci sont intégrés à l'aide d'une variante du modèle d'empilement en deux étapes itératives, exécutées par des agents qui exploitent indépendamment les algorithmes définis dans les conteneurs de connaissances de la révision et de la réutilisation du cycle classique du RàPC. Les agents possèdent une mémoire locale qui leur permet d'ajuster et de développer leur recherche de voisins, en générant des solutions à chaque itération. Chaque agent a un comportement individuel autorisant l'échange d'informations avec les autres agents. La figure \ref{figNCBR} décrit le processus de décision et les comportements des agents au sein du système élargi. +L'algorithme ESCBR-SMA est fondé sur le paradigme du RàPC et incorpore divers algorithmes de recherche de voisins et de génération de solutions. Ceux-ci sont intégrés à l'aide d'une variante de la technique d'empilement en deux étapes itératives, exécutées par des agents qui exploitent indépendamment les algorithmes définis dans les conteneurs de connaissances de la révision et de la réutilisation du cycle classique du RàPC. Les agents possèdent une mémoire locale qui leur permet d'ajuster et de développer leur recherche de voisins, en générant des solutions à chaque itération. Chaque agent a un comportement individuel autorisant l'échange d'informations avec les autres agents. La figure \ref{figNCBR} décrit le processus de décision et les comportements des agents au sein du système élargi. \begin{figure}[!ht] \centering diff --git a/main.log b/main.log index 793b99c..ddaa21d 100644 --- a/main.log +++ b/main.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.25 (TeX Live 2023) (preloaded format=pdflatex 2023.5.31) 10 JUL 2025 11:04 +This is pdfTeX, Version 3.141592653-2.6-1.40.25 (TeX Live 2023) (preloaded format=pdflatex 2023.5.31) 10 JUL 2025 11:13 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -2262,7 +2262,7 @@ ts/type1/urw/courier/ucrr8a.pfb> -Output written on main.pdf (122 pages, 7913876 bytes). +Output written on main.pdf (122 pages, 7913872 bytes). 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