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26df14a..5218343 100644 --- a/chapters/Conclusions.tex +++ b/chapters/Conclusions.tex @@ -1,28 +1,31 @@ -\chapter{Conclusions et Perspectives} - -\section{Conclusion générale} - -Les environnements informatiques pour l'apprentissage humain (EIAH) doivent trouver des stratégies adaptées afin d'exploiter et d'analyser toute l'information récoltée sur l'évolution de l'apprenant et ses éventuelles lacunes. L'intégration d'un système de recommandation en temps réel proposant des alternatives de parcours dynamiques et variées aux apprenants présente donc de nombreux avantages. - -Nous avons montré dans ces travaux de quelle manière les outils d'IA et d'apprentissage automatique peuvent répondre à cette problématique. Ils permettent en effet de travailler avec des données structurées selon un contexte déterminé, d'explorer et d'exploiter les espaces où ces données sont définies, d'analyser et d'extraire l'information utile pour connaître les comportements, les tendances et les faiblesses des apprenants. Parmi tous les outils d'IA, nous nous sommes plus particulièrement tournés vers ceux dont le fonctionnement nécessite peu de données car ils permettent à des apprenants inconnus de l'EIAH de se voir proposer des adaptations en temps réel dès les premiers exercices. - -L'EIAH AI-VT qui a servi d'environnement d'application et d'expérimentation à ces travaux est donc aujourd'hui capable de proposer des recommandations dynamiques et personnalisées en utilisant l'apprentissage par renforcement, la génération de solutions stochastique, le raisonnement Bayésien, les approches d'ensemble avec plusieurs algorithmes via deux empilements, l'optimisation stochastique itérative, l'intégration d'approches locales et collaboratives, le raisonnement à partir de cas avec les systèmes multi-agents et le processus de Hawkes. - -Les jeux de données testés (réelles et générées) ont permis de tester la solidité du système, son amélioration progressive et l'unification de tous les algorithmes, outils et modules proposés. Des modèles de progression ont également été proposés afin de mieux mesurer le degré d'adaptabilité du système au regard de chaque apprenant. - -La version finale du système AI-VT qui intègre tous les modules développés est capable de tenir compte d'aspects importants du processus d'apprentissage tels que le renforcement des connaissances, la dynamique de l'information, la variation progression, le temps d'apprentissage non-linéaire en étant capable de suivre un modèle intégrant une courbe d'oubli. - -Chaque module proposé s'est montré compétitif et a présenté des performances de qualités comparables à d'autres algorithmes et modules de référence dans le domaine de la régression et de la recommandation. L'architecture proposée permet de tirer partie des avantages de chacun de ces modules et ainsi d'améliorer globalement l'adaptation en cours de séance d'entraînement dans le système AI-VT en fonction des résultats partiels des apprenants. - -\section{Perspectives} - -Différentes perspectives peuvent être envisagées. En particulier, l'intégration de résultats d'analyse vidéo et audio pourraient aider à mieux interpréter les comportements des apprenants et ainsi leur proposer des recommandations encore plus pertinentes. - -Il pourrait également être intéressant de proposer différentes configurations pour le système de recommandation. -Le point de départ pourrait consister à étudier la possibilité d'améliorer encore la fonction déterminant quelles sont les meilleures solutions proposées au second niveau d'empilement de l'outil d'ensemble (ESCBR-SMA). Peut-être serait-il intéressant de pouvoir paramétrer cette fonction, qu'AI-VT en propose plusieurs et quelles soient dépendantes du profil de l'apprenant et des matières enseignées. - -Les scénarios d'apprentissage testés dans ces travaux ont mis en lumière le fait qu'il existait des points de rupture. Il serait intéressant de les analyser afin de mieux les prédire. Ces travaux ont notamment proposé d'utiliser un échantillonnage de Thompson pour que les modifications des niveaux de complexité des exercices proposés par le système soient progressifs. Cet outil est fondé sur une distribution de probabilité. Il pourrait donc être envisagé de tester d'autres familles de distributions de probabilité et de calculer de manière dynamique les taux corrélés d'actualisation des distributions de probabilité pour chaque niveau de complexité. - -Une autre piste de travail est l'autocorrection. Cet aspect n'est pas encore proposé dans AI-VT. Il pourrait l'être en considérant des modèles de résilience et en intégrant des gabarits ou même des cartographies d'erreurs ou de réponses incorrectes à la base de données de l'EIAH. - -Pour finir, il pourrait être intéressant de permettre au système de mesurer la sensisbilité des apprenants aux contenus et aux exercices proposés, ceux-ci ne l'étant pas tous de la même manière. \ No newline at end of file +\chapter{Conclusions et Perspectives} + +\section{Conclusion générale} + +Les environnements informatiques pour l'apprentissage humain (EIAH) doivent trouver des stratégies adaptées afin d'exploiter et d'analyser toute l'information récoltée sur l'évolution de l'apprenant et ses éventuelles lacunes. L'intégration d'un système de recommandation en temps réel proposant des alternatives de parcours dynamiques et variées aux apprenants présente donc de nombreux avantages. + +Nous avons montré dans ces travaux de quelle manière les outils d'IA et d'apprentissage automatique peuvent répondre à cette problématique. Ils permettent en effet de travailler avec des données structurées selon un contexte déterminé, d'explorer et d'exploiter les espaces où ces données sont définies, d'analyser et d'extraire l'information utile pour connaître les comportements, les tendances et les faiblesses des apprenants. Parmi tous les outils d'IA, nous nous sommes plus particulièrement tournés vers ceux dont le fonctionnement nécessite peu de données car ils permettent à des apprenants inconnus de l'EIAH de se voir proposer des adaptations en temps réel dès les premiers exercices. + +L'EIAH AI-VT qui a servi d'environnement d'application et d'expérimentation à ces travaux est donc aujourd'hui capable de proposer des recommandations dynamiques et personnalisées en utilisant l'apprentissage par renforcement, la génération de solutions stochastique, le raisonnement Bayésien, les approches d'ensemble avec plusieurs algorithmes via deux empilements, l'optimisation stochastique itérative, l'intégration d'approches locales et collaboratives, le raisonnement à partir de cas avec les systèmes multi-agents et le processus de Hawkes. + +Les jeux de données testés (réelles et générées) ont permis de tester la solidité du système, son amélioration progressive et l'unification de tous les algorithmes, outils et modules proposés. Des modèles de progression ont également été proposés afin de mieux mesurer le degré d'adaptabilité du système au regard de chaque apprenant. + +La version finale du système AI-VT qui intègre tous les modules développés est capable de tenir compte \colorbox{yellow}{de prendre en compte des ? } d'aspects importants du processus d'apprentissage tels que le renforcement des connaissances, la dynamique de l'information, la variation progression, le temps d'apprentissage non-linéaire en étant capable de suivre un modèle intégrant une courbe d'oubli. + +Chaque module proposé s'est montré compétitif et a présenté des performances de qualités comparables à d'autres algorithmes et modules de référence dans le domaine de la régression et de la recommandation. L'architecture proposée permet de tirer partie des avantages de chacun de ces modules et ainsi d'améliorer globalement l'adaptation en cours de séance d'entraînement dans le système AI-VT en fonction des résultats partiels des apprenants. +\colorbox{yellow}{je developperai plus la conclusion en faisant un retour sur les contributions} + +\colorbox{yellow}{à un endroit tu parles de parcours stantard, est ce que c'est défini, paramétrable?} + +\section{Perspectives} + +Différentes perspectives peuvent être envisagées. En particulier, l'intégration de résultats d'analyse vidéo et audio pourrait aider à mieux interpréter les comportements des apprenants et ainsi leur proposer des recommandations encore plus pertinentes. + +Il pourrait également être intéressant de proposer différentes configurations pour le système de recommandation. +Le point de départ pourrait consister à étudier la possibilité d'améliorer encore la fonction déterminant quelles sont les meilleures solutions proposées au second niveau d'empilement de l'outil d'ensemble (ESCBR-SMA). Peut-être serait-il intéressant de pouvoir paramétrer cette fonction, qu'AI-VT en propose plusieurs et qu'elles soient dépendantes du profil de l'apprenant et des matières enseignées. + +Les scénarios d'apprentissage testés dans ces travaux ont mis en lumière le fait qu'il existait des points de rupture. Il serait intéressant de les analyser afin de mieux les prédire. Ces travaux ont notamment proposé d'utiliser un échantillonnage de Thompson pour que les modifications des niveaux de complexité des exercices proposés par le système soient progressifs. Cet outil est fondé sur une distribution de probabilité. Il pourrait donc être envisagé de tester d'autres familles de distributions de probabilité et de calculer de manière dynamique les taux corrélés d'actualisation des distributions de probabilité pour chaque niveau de complexité. + +Une autre piste de travail est la correction automatique. Cet aspect n'est pas encore proposé dans AI-VT. 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Celui-ci est fondé sur le raisonnement à partir de cas et l'empilement. -\subsection{Modèle Proposé} +\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. 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Ce type de module permet donc au système de personnaliser les contenus et les exercices en fonction des besoins et des résultats de chacun des apprenants. Certains auteurs n'hésitent pas à considérer que l'efficacité d'un EIAH dans l'acquisition des connaissances et l'adaptation aux différents types d'apprentissage dépend de ce type de module fondé sur la recommandation \cite{Liu2023}. +L'un des principaux modules d'un EIAH est le système de recommandation visant à trouver les faiblesses et à réviser la séance d'entraînement proposée initialement par celui-ci. Ce type de module permet donc au système de personnaliser les contenus et les exercices en fonction des besoins et des résultats de chacun des apprenants. Certains auteurs n'hésitent pas à considérer que l'efficacité d'un EIAH dans l'acquisition des connaissances et l'adaptation aux différents types d'apprentissage dépend de ce type de module fondé sur la recommandation \cite{Liu2023}. -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. Dans ces systèmes, l'adaptation peut être de deux types : l'adaptation de la présentation qui montre aux apprenants des ressources d'étude en fonction de leurs faiblesses et/ou 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 systèmes de recommandation dans les environnements d'apprentissage prennent en compte les exigences, les besoins, le profil, les talents \colorbox{yellow}{?}, 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. Dans ces systèmes, l'adaptation peut être de deux types : l'adaptation de la présentation qui montre aux apprenants des ressources d'étude en fonction de leurs faiblesses et/ou l'adaptation de la navigation \colorbox{yellow}{l'adaptation du parcours?} qui change la structure du cours en fonction du niveau et du style d'apprentissage de chaque apprenant \cite{MUANGPRATHUB2020e05227}. -Parmi les algorithmes les plus prometteurs pouvant aider à proposer des recommandations, nous avons identifié l'algorithme d'échantillonnage de Thompson (TS). Il s'agit d'un algorithme probabiliste appartenant à la catégorie des algorithmes d'apprentissage par renforcement. À l'instant $t$, TS choisit l'action $a_t$ d'un ensemble $A$ d'actions possibles, et obtient une récompense pour celle-ci. À $t+1$, une action $a_{t+1}$ est sélectionnée en tenant compte de la récompense précédente. L'objectif consiste à maximiser la récompense. Selon le principe bayésien, cette maximisation itérative est opérée en suivant une distribution de probabilité évoluant à chaque itération. Cette évolution peut être calculée selon la variante de Bernoulli où la récompense n'a que deux valeurs possibles 0 ou 1 (échec ou succès), ou selon une distribution \textit{Beta} définie sur l'intervalle $[0, 1]$ et calculée en fonction de deux valeurs $\alpha$ et $\beta$ \cite{9870279}. +Parmi les algorithmes les plus prometteurs pouvant aider à proposer des recommandations, nous avons identifié l'algorithme d'échantillonnage de Thompson (TS). Il s'agit d'un algorithme probabiliste appartenant à la catégorie des algorithmes d'apprentissage par renforcement. À l'instant $t$, TS choisit l'action $a_t$ d'un ensemble $A$ d'actions possibles, et obtient une récompense pour celle-ci. À $t+1$, une action $a_{t+1}$ est sélectionnée en tenant compte de la récompense précédente. L'objectif consiste à maximiser la récompense. Selon le principe bayésien, cette maximisation itérative est opérée en suivant une distribution de probabilité évoluant à chaque itération. Cette évolution peut être calculée selon la variante de Bernoulli \colorbox{yellow}{de la loi de bernoulli ?} où la récompense n'a que deux valeurs possibles 0 ou 1 (échec ou succès), ou selon une distribution \textit{Beta} définie sur l'intervalle $[0, 1]$ et calculée en fonction de deux valeurs $\alpha$ et $\beta$ \cite{9870279}. -Ce chapitre est divisé en trois parties, la première partie présente un algorithme delivrant des recommandations en fonction des résultats produits par l'apprenant en temps réel. Une partie de cette proposition est publiée dans \cite{Soto2}. Cet algorithme permet l'adaptation automatique en temps réel d'une séance prédéterminée dans l'EIAH AI-VT. Nous considérons qu'elle intervient durant la phase de révision du cylce classique du raisonnement à partir de cas (RàPC). Le modèle proposé est stochastique et il a été testé selon trois scénarios différents. Les résultats montrent de quelle manière AI-VT peut proposer des recommandations pertinentes selon les faiblesses identifiées de l'apprenant. +Ce chapitre est divisé en trois parties, la première partie présente un algorithme délivrant des recommandations en fonction des résultats produits par l'apprenant en temps réel. Une partie de cette proposition est publiée dans \cite{Soto2}. Cet algorithme permet l'adaptation automatique en temps réel d'une séance prédéterminée dans l'EIAH AI-VT. Nous considérons qu'elle intervient durant la phase de révision du cycle classique du raisonnement à partir de cas (RàPC). Le modèle proposé est stochastique et il a été testé selon trois scénarios différents. Les résultats montrent de quelle manière AI-VT peut proposer des recommandations pertinentes selon les faiblesses identifiées de l'apprenant. La deuxième partie de ce chapitre montre l'intégration de tous les algorithmes présentés dans les chapitres précédents à AI-VT. Le modèle intégré est appliqué au système AI-VT sur des données générées et des données réelles. Plusieurs types de test sont exécutés pour montrer que le modèle final permet en effet d'améliorer les capacités d'identification et d'adaptation. Les performances de ce nouveau modèle sont comparées à celles d'autres algorithmes. Enfin, l'évolution de l'acquisition des connaissances induites par ces nouveaux modèles de recommandation stochastiques est analysée dans cette deuxième partie du présent chapitre. -Enfin, dans la troisième partie de ce chapitre, nous présentons une évolution de ce système de recommandation intégrant le processus de Hawkes. L'intérêt de ce dernier réside dans le fait qu'il utilise une courbe d'oubli, nous permettant ainsi que tenir compte du fait que certaines connaissances et certains mécanismes doivent être rappelés aux apprenants. Cette troisième partie intègre une étude des performances du système de recommandation incluant ce processus stochastique de Hawkes. +Pour terminer, dans la troisième partie de ce chapitre, nous présentons une évolution de ce système de recommandation intégrant le processus de Hawkes. L'intérêt de ce dernier réside dans le fait qu'il utilise une courbe d'oubli, nous permettant ainsi de tenir compte du fait que certaines connaissances et certains mécanismes doivent être rappelés aux apprenants. Cette troisième partie intègre une étude des performances du système de recommandation incluant ce processus stochastique de Hawkes. \section{Système de recommandation stochastique fondé sur l'échantillonnage de Thompson} \sectionmark{Système de recommandation fondé sur TS} \subsection{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 séances pour maximiser l'acquisition des connaissances et la maîtrise des différents domaines contenus dans la même compétence définie. +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 il adapte les séances pour maximiser l'acquisition des connaissances et la maîtrise des différents domaines contenus dans la même compétence définie. -La famille de distributions de probabilité Beta est utilisée pour définir dynamiquement le niveau de complexité (équation \ref{eqBeta}) à proposer à l'apprenant. Cet algorithme permet de recommander des niveaux de complexité non contigus et dans lesquels des défauts ont été détectés. Les paramètres initiaux des distributions de probabilité peuvent forcer le système à recommander des niveaux de complexité contigus plus ou moins importants. +La famille de distributions de probabilité Beta est utilisée pour définir dynamiquement le niveau de complexité (équation \ref{eqBeta}) à proposer à l'apprenant. Cet algorithme permet de recommander des niveaux de complexité non contigus et dans lesquels des lacunes ont été détectés. Les paramètres initiaux des distributions de probabilité peuvent forcer le système à recommander des niveaux de complexité contigus plus ou moins importants \colorbox{yellow}{je ne comprends pas le importants, relatif à quoi ?}. \begin{equation} B(x, \alpha, \beta) = @@ -57,7 +57,7 @@ B(x, \alpha, \beta) = \begin{table}[!ht] \centering \begin{tabular}{ccc} -ID&Description&Domain\\ +ID&Description&Domaine\\ \hline $c_n$&Niveaux de complexité&$\mathbb{N} \; | \; c_n>0$\\ $g_m$&Valeur maximale dans l'échelle des notes& $\mathbb{N} \;|\; g_m>0$ \\ @@ -136,7 +136,7 @@ Le détail des pas d'exécution du modèle proposé sont dans l'algorithme \ref{ \subsection{Résultats} -Le comportement du module de recommandation a été testé avec un des données générées contenant les notes et les temps de réponse de mille apprenants pour cinq niveaux de complexité différents. Ces données sont décrites dans le tableau \ref{tabDataSet}. Les notes des apprenants sont générées selon la loi de probabilité logit-normale considérée comme la plus fidèle dans ce contexte par \cite{Arthurs}. \colorbox{yellow}{<== OK pour toi, Daniel ?} +Le comportement du module de recommandation a été testé avec des données générées contenant les notes et les temps de réponse de mille apprenants pour cinq niveaux de complexité différents. Ces données sont décrites dans le tableau \ref{tabDataSet}. Les notes des apprenants sont générées selon la loi de probabilité logit-normale considérée comme la plus fidèle dans ce contexte par \cite{Arthurs}. \colorbox{yellow}{<== OK pour toi, Daniel ?} L'ensemble de données générées résulte d'une simulation des notes obtenues par des apprenants virtuels ayant répondu à quinze questions réparties sur cinq niveaux de complexité. L'ensemble de données simule, via la distribution de probabilité logit-normale, une faiblesse dans chaque niveau de complexité pour 70\% des apprenants sur les dix premières questions. La difficulté de la complexité est quant à elle simulée en réduisant le score moyen et en augmentant la variance. La figure \ref{figData} montre la manière dont sont réparties les notes selon le niveau de complexité. @@ -145,17 +145,18 @@ L'ensemble de données générées résulte d'une simulation des notes obtenues \caption{Répartition des notes générées selon le niveau de complexité.} \label{figData} \end{figure} +\colorbox{yellow}{ niveau de complexité d'une question Q?} \begin{table}[!ht] \centering \begin{tabular}{ccc} -ID&Description&Domain\\ +ID&Description&Domaine\\ \hline $q_{c}$&Niveau de complexité de une question $q$&$[0, c_n] \in \mathbb{N}$\\ $q_{g,c}$&Note obtenue $g$ pour la question $q$ avec complexité $c$ &$[0,g_m] \in \mathbb{R}$\\ $q_{t,c}$&Temps employé $t$ pour une question $q$ avec complexité $c$&$[0, t_m] \in \mathbb{R}$\\ \end{tabular} -\caption{Description des variables utilisées dans la base de données evaluée} +\caption{Description des variables utilisées dans la base de données évaluée} \label{tabDataSet} \end{table} @@ -168,13 +169,13 @@ ID&$c_n$&$g_m$&$t_m$&$s$&$s_c$&$\lambda$&$g_t$&$\alpha_{x,1}$&$\alpha_{x,y}$&$\b \hline Valeur&5&10&120&3&2&0.25&6 & 2 & 1 & 1 & 1 & 0.3 & 0.5 & 0.7\\ \end{tabular} -\caption{Valeurs des paramètres pour les scénarios evalués} +\caption{Valeurs des paramètres pour les scénarios évalués} \label{tabgm1} \end{table} -La figure \ref{figCmp2} permet de comparer les résultats obtenus par le module proposé, un système de recommandation déterministe et le système AI-VT initial lors d'un \textit{démarrage à froid} (c'est-à-dire sans données historiques ni informations préalables sur le profile de l'apprenant). Sur les graphiques de cette figure, les numéros des questions posées sont reportées en abscisse selon l'ordre chronologique d'apparition durant la séance d'entrainement, le niveau de complexité de chaque question posée est représenté par une couleur différente, et le nombre d'apprenants ayant eu des questions de ce niveau de complexité sont reportés en ordonnées. Ainsi, le système AI-VT initial (premier graphique de la figure) et le système de recommandation déterministe (deuxième graphique) ont tous deux proposé trois questions de niveau de complexité 0 (le plus faible) à tous les apprenants au démarrage de la séance d'entrainement. Nous pouvons remarquer que le système initial est resté sur ce niveau de complexité durant toute la séance (pour les 15 questions du test), tandis que le système de recommandation déterministe a progressivement mixé les complexités des questions posées. Le système de recommandation stochastique décrit dans ce chapitre a quant à lui mixé ces niveaux de complexité dès la première question. +La figure \ref{figCmp2} permet de comparer les résultats obtenus par le module proposé, un système de recommandation déterministe et le système AI-VT initial lors d'un \textit{démarrage à froid} (c'est-à-dire sans données historiques ni informations préalables sur le profil de l'apprenant). Sur les graphiques de cette figure, les numéros des questions posées sont reportées en abscisse selon l'ordre chronologique d'apparition durant la séance d’entraînement, le niveau de complexité de chaque question posée est représenté par une couleur différente, et le nombre d'apprenants ayant eu des questions de ce niveau de complexité sont reportés en ordonnées. Ainsi, le système AI-VT initial (premier graphique de la figure) et le système de recommandation déterministe (deuxième graphique) ont tous deux proposé trois questions de niveau de complexité 0 (le plus faible) à tous les apprenants au démarrage de la séance d'entrainement. Nous pouvons remarquer que le système initial est resté sur ce niveau de complexité durant toute la séance (pour les 15 questions du test), tandis que le système de recommandation déterministe a progressivement mixé les complexités des questions posées. Le système de recommandation stochastique décrit dans ce chapitre a quant à lui mixé ces niveaux de complexité dès la première question. -Ainsi, les système de recommandation permettent de proposer une adaptation progressive du niveau de complexité en fonction des notes obtenues. Le modèle déterministe génère quatre grandes transitions avec un grand nombre d'apprenants dans les questions 5, 6, 8 et 12, toutes entre des niveaux de complexité contigus. La tendance est à la baisse pour les niveaux 0, 1 et 2 après la huitième question et à la hausse pour les niveaux 1 et 3. Le modèle stochastique commence par proposer tous les niveaux de complexité possibles tout en privilégiant le niveau 0. Avec ce système, les transitions sont constantes mais pour un petit nombre d'apprenants. La tendance après la dixième question est à la baisse pour les niveaux 0 et 4 et à la hausse pour les niveaux 1, 2 et 3. +Ainsi, les systèmes de recommandation permettent de proposer une adaptation progressive du niveau de complexité en fonction des notes obtenues. Le modèle déterministe génère quatre grandes transitions avec un grand nombre d'apprenants dans les questions 5, 6, 8 et 12, toutes entre des niveaux de complexité contigus. La tendance est à la baisse pour les niveaux 0, 1 et 2 après la huitième question et à la hausse pour les niveaux 1 et 3. Le modèle stochastique commence par proposer tous les niveaux de complexité possibles tout en privilégiant le niveau 0. Avec ce système, les transitions sont constantes mais pour un petit nombre d'apprenants. La tendance après la dixième question est à la baisse pour les niveaux 0 et 4 et à la hausse pour les niveaux 1, 2 et 3. \colorbox{yellow}{Figure figCmp2 à corriger : ce n'est pas un nombre de question, }\\ \colorbox{yellow}{mais un numéro de question.}\\ @@ -186,7 +187,7 @@ Ainsi, les système de recommandation permettent de proposer une adaptation prog \label{figCmp2} \end{figure} -Après la génération de la première séance, le système peut continuer avec une deuxième liste d'exercices. Pour cette partie des tests, les trois modèles ont été initialisés avec les mêmes données, et des valeurs égales pour tous les apprenants. La figure \ref{figCmp3} permet de voir la première transition du système original ne réagissant qu'aux notes obtenues dans les séances précédentes et non à celles de la séance en cours. Les transitions sont très lentes, et tous les apprenants doivent suivre un chemin identique même s'ils obtiennent des notes différentes au cours de la séance. +Après la génération de la première séance, le système peut continuer avec une deuxième liste d'exercices. Pour cette partie des tests, les trois modèles ont été initialisés avec les mêmes données, et des valeurs égales pour tous les apprenants. La figure \ref{figCmp3} permet de voir la première transition du système original ne réagissant qu'aux notes obtenues dans les séances précédentes et non à celles de la séance en cours. \colorbox{yellow}{La figure X permet de voir la première transition du système original qui ne réagit qu'aux notes obtenues dans les séances précédentes et non à celles de la séance en cours?} Les transitions sont très lentes, et tous les apprenants doivent suivre un chemin identique même s'ils obtiennent des notes différentes au cours de la séance. Pour leur part, les deux autres systèmes de recommandation testés proposent un fonctionnement différent. Le modèle déterministe présente trois transitions aux questions 3, 5 et 12. Les tendances sont y relativement homogènes et progressives pour le niveau 3, très variables pour le niveau 2 et fortement décroissantes pour le niveau 0. Le modèle stochastique quant à lui, propose des transitions douces mais il a tendance à toujours privilégier le niveau le plus faible. Nous pouvons observer une prépondérance du niveau 1 avec ce système. Ici, les niveaux 0 et 1 sont décroissants, le niveau 2 est statique et les niveaux 3 et 4 sont ascendants. @@ -196,7 +197,7 @@ Pour leur part, les deux autres systèmes de recommandation testés proposent un \label{figCmp3} \end{figure} -Les questions de la première et la deuxième séance étant de niveaux 0 et 1, le système a proposé des niveaux de complexité 1 ou 2 pour la troisième séance. La figure \ref{figCmp4} montre que le système original est très lent à passer d'un niveau à l'autre et les changements sont abrupts pour tous. Dans ce cas, le modèle de recommandation déterministe adopte la même stratégie et propose un changement brutal à tous les apprenants autour de la cinquième question. Le modèle stochastique continue avec des changements progressifs tout en privilégiant le niveau 2. +Les questions de la première et la deuxième séance étant de niveaux 0 et 1, le système a proposé des niveaux de complexité 1 ou 2 pour la troisième séance. La figure \ref{figCmp4} montre que le système original est très lent à passer d'un niveau à l'autre et les changements sont abrupts pour tous. \colorbox{yellow}{tjs parce que pas d'adaptation en cours de séance - et abruptes?}La figure \ref{figCmp3} permet de voir la première transition du système original ne réagissant qu'aux notes obtenues dans les séances précédentes et non à celles de la séance en cours. Dans ce cas, le modèle de recommandation déterministe adopte la même stratégie et propose un changement brutal à tous les apprenants autour de la cinquième question. Le modèle stochastique continue avec des changements progressifs tout en privilégiant le niveau 2. \begin{figure} \includegraphics[width=\textwidth]{./Figures/comp4.png} @@ -204,7 +205,7 @@ Les questions de la première et la deuxième séance étant de niveaux 0 et 1, \label{figCmp4} \end{figure} -Pour comparer numériquement le système original, le modèle déterministe et le modèle de recommandation proposé, un ensemble d'équations a été défini (équation \ref{eqMetric1} et équation \ref{eqMetric2}). Celles-ci premettent de décrire le système de recommandation idéal si l'objectif de l'apprenant est de suivre un apprentissage standard. Une valeur est calculée pour chaque niveau de complexité en fonction de la moyenne des notes et du nombre de questions recommandées dans ce niveau de complexité. L'objectif de cette mesure est d'attribuer un score élevé aux systèmes de recommandation qui proposent plus d'exercices au niveau de complexité où l'apprenant a obtenu une note moyenne plus basse, lui permettant ainsi de renforcer ses connaissances à ce niveau de complexité. De la même manière, il est attendu que le système de recommandation propose moins d'exercices aux niveaux de complexité pour lesquels les notes moyennes sont élevées, l'étudiant ayant acquis des connaissances suffisantes à ces niveaux de complexité. Les scores faibles sont attribués aux systèmes qui recommandent peu d'exercices à des niveaux de complexité dont les notes moyennes sont faibles et, inversement, s'ils proposent beaucoup d'exercices à des niveaux de complexité dont les notes moyennes sont élevées. +Pour comparer numériquement le système original, le modèle déterministe et le modèle de recommandation proposé, un ensemble d'équations a été défini (équation \ref{eqMetric1} et équation \ref{eqMetric2}). Celles-ci permettent de décrire le système de recommandation idéal si l'objectif de l'apprenant est de suivre un apprentissage standard. Une valeur est calculée pour chaque niveau de complexité en fonction de la moyenne des notes et du nombre de questions recommandées dans ce niveau de complexité. L'objectif de cette mesure est d'attribuer un score élevé aux systèmes de recommandation qui proposent plus d'exercices au niveau de complexité où l'apprenant a obtenu une note moyenne plus basse, lui permettant ainsi de renforcer ses connaissances pour ce niveau de complexité. De la même manière, il est attendu que le système de recommandation propose moins d'exercices aux niveaux de complexité pour lesquels les notes moyennes sont élevées, l'étudiant ayant acquis des connaissances suffisantes à ces niveaux de complexité. Les scores faibles sont attribués aux systèmes qui recommandent peu d'exercices à des niveaux de complexité dont les notes moyennes sont faibles et, inversement, s'ils proposent beaucoup d'exercices à des niveaux de complexité dont les notes moyennes sont élevées. \begin{equation} %r_c=x+y-2xy @@ -271,7 +272,7 @@ RàPC&-&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}&\textbf{82.852}\\ \end{tabular} -\caption{Résultats de la métrique $rp_c(x)$ (RàPC - Système sans module de recommandation, DM - Module de recommandation deterministe, SM - Module de recommandation stochastique)} +\caption{Résultats de la métrique $rp_c(x)$ (RàPC - Système sans module de recommandation, DM - Module de recommandation déterministe, SM - Module de recommandation stochastique)} \label{tabRM} \end{table} @@ -354,19 +355,21 @@ SM&\textbf{0.8124}&\textbf{0.8856}&\textbf{0.9244}\\ \subsection{Discussion et Conclusion} Avec la génération d'exercices par le système de RàPC initial, AI-VT propose les mêmes exercices à tous les apprenants, et l'évolution des niveaux de complexité est très lente, un changement toutes les trois ou quatre séances environ. En effet, le système ne prend pas en compte les notes obtenues pendant la séance. Les systèmes intégrant l'un des modules de recommandation testés sont plus dynamiques et les évolutions sont plus rapides. En considérant les notes des apprenants, le modèle déterministe suggère des changements de niveaux à un grand nombre d'apprenants de manière soudaine, tandis 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 modules de recommandation proposés ont la capacité de détecter les faiblesses des apprenants et d'adapter la séance à leurs besoins particuliers. +\colorbox{yellow}{le texte de la page 83 sous les 2 tables est décalé} Les données générées ont permis de simuler diverses situations avec les notes de mille apprenants, permettant ainsi d'évaluer le comportement des systèmes de recommandation avec différentes configurations. -Les résultats numériques montrent que les distributions des questions dans une séance par les deux modules de recommandation sont différentes bien que la tendance générale soit similaire. Les modules de recommandation proposés tentent de répartir les questions dans tous les niveaux de complexité définis. Globalement, le module de recommandation stochastique a obtenu un meilleur score. En comparaison du système original, les modules de recommandation (déterministe et stochastique) proposent 15\% à 68\% d'adaptations pour tous les niveaux de complexité. +Les résultats numériques montrent que les distributions des questions dans une séance par les deux modules de recommandation sont différentes bien que la tendance générale soit similaire. Les modules de recommandation proposés tentent de répartir les questions dans tous les niveaux de complexité définis. Globalement, le module de recommandation stochastique a obtenu un meilleur score. En comparaison du système original, les modules de recommandation (déterministe et stochastique) proposent 15\% à 68\% d'adaptations pour tous les niveaux de complexité.\colorbox{yellow}{d'adaptation de quoi?} Selon la métrique de la similarité cosinus, le module de recommandation stochastique augmente la diversité des propositions par rapport au système original dans les trois séances d'entrainement testées, ce qui indique qu'en plus d'atteindre l'adaptabilité, des propositions personnalisées sont générées tout en maintenant l'objectif de progression des niveaux de compétence des apprenants. 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 certaines EIAH 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 deux modules de recommandation proposés peuvent détecter en temps réel les faiblesses de l'apprenant et tentent de réorienter la séance vers le niveau de complexité le plus adapté. Même si l'ensemble de données générées est une simulation de temps de réponse et de notes fictives d'apprenants fictifs, les tests démontrent la flexibilité et la robustesse des modules de recommandation proposés : les données relatives aux apprenants présentent en effet une grande diversité et obligent le système à s'adapter à différents types de configurations. Par conséquent, il est possible de conclure que les modules de recommandation proposés ont la capacité de fonctionner dans différentes situations et de proposer des chemins alternatifs et personnalisés pour améliorer le processus d'apprentissage global. Leur intégration à l'EIAH AI-VT originel constituent donc une améliortation notable du système. +Les modules de recommandation sont un élément essentiel pour certains EIAH car ils aident à guider le processus d'apprentissage individuel. Ils permettent également d'identifier les faiblesses et de réorienter le processus complet afin d'améliorer les connaissances et les compétences. Les deux modules de recommandation proposés peuvent détecter en temps réel les faiblesses de l'apprenant et tentent de réorienter la séance vers le niveau de complexité le plus adapté. Même si l'ensemble des données générées est une simulation de temps de réponse et de notes fictives d'apprenants fictifs, les tests démontrent la flexibilité et la robustesse des modules de recommandation proposés : les données relatives aux apprenants présentent en effet une grande diversité et obligent le système à s'adapter à différents types de configuration. Par conséquent, il est possible de conclure que les modules de recommandation proposés ont la capacité de fonctionner dans différentes situations et de proposer des chemins alternatifs et personnalisés pour améliorer le processus d'apprentissage global. Leur intégration à l'EIAH AI-VT originel constituent donc une amélioration notable du système. +\colorbox{yellow}{Est ce qu'il faut redire que dm vient de Simha, mais tu as fait les tests?} \section{ESCBR-SMA et échantillonnage de Thompson} \sectionmark{ESCB-SMA et TS} -La section précédente a démontré l'intérêt de l'intégration d'un module de recommandation afin de proposer des exercices d'un niveau de difficulté adapté aux besoin de l'apprenant en fonction des difficultés décelées au cours de la séance d'entraînement. Le système AI-VT originel fondé sur le cycle du raisonnement à partir de cas et ne proposant que des adaptations entre deux séances d'entrainement consécutives, a été supplanté par l'intégration de modules de recommandation utilisés durant la phase de révision du cycle classique du RàPC. Les deux modules de recommandation testés dans ala section précedente étaient l'un déterministe, l'autre stochastique. +La section précédente a démontré l'intérêt de l'intégration d'un module de recommandation afin de proposer des exercices d'un niveau de difficulté adapté aux besoins de l'apprenant en fonction des difficultés décelées au cours de la séance d'entraînement. Le système AI-VT originel fondé sur le cycle du raisonnement à partir de cas et ne proposant que des adaptations entre deux séances d’entraînement consécutives, a été supplanté par l'intégration de modules de recommandation utilisés durant la phase de révision du cycle classique du RàPC. Les deux modules de recommandation testés dans la section précédente étaient l'un déterministe, l'autre stochastique. La section précédente a également démontré qu'il était possible et intéressant que les niveaux de complexité des exercices proposés puissent suivre des fonctions permettant de les faire fluctuer de manière progressive au cours de la séance, et ce afin que les apprenants ne soient pas confrontés à des difficultés changeant de manière trop abrupte durant l'entraînement. Cette étude nous amène donc à considérer la résolution de la génération d'une séance d'exercices sous l'angle de la régression. Nous proposons donc dans cette partie de montrer de quelle manière nous avons intégré et vérifié l'intérêt des outils définis dans le chapitre précédent dans l'EIAH AI-VT. @@ -374,7 +377,7 @@ La section précédente a également démontré qu'il était possible et intére Cette section présente les concepts, les définitions et les algorithmes nécessaires à la compréhension du module proposé. Le paradigme fondamental utilisé dans ce travail est le raisonnement à partir de cas (RàPC), qui permet d'exploiter les connaissances acquises et l'expérience accumulée pour résoudre un problème spécifique. L'idée principale est de rechercher des situations antérieures similaires et d'utiliser l'expérience acquise pour résoudre de nouveaux problèmes. Le RàPC suit classiquement un cycle de quatre étapes pour améliorer la solution d'inférence \cite{jmse11050890}. -L'un des modèles les plus couramment utilisés dans les EIAH pour adapter le contenu et estimer la progression du niveau de connaissance des apprenants est le BKT (\textit{Bayesian Knowledge Tracing}) \cite{ZHANG2018189}. Ce modèle utilise quatre paramètres pour estimer la progression des connaissances. $P(k)$ estime la probabilité de connaissance dans une compétence spécifique. $P(w)$, est la probabilité que l'apprenant démontre ses connaissances. $P(s)$, est la probabilité que l'apprenant fasse une erreur.$P(g)$, est la probabilité que l'apprenant ait deviné une réponse. La valeur estimée de la connaissance est mise à jour selon les équations \ref{eqbkt1}, \ref{eqbkt2} et \ref{eqbkt3}. Si la réponse de l'apprenant est correcte, l'équation \ref{eqbkt1} est utilisée, mais si la réponse est incorrecte, l'équation \ref{eqbkt2} est utilisée. +L'un des modèles les plus couramment utilisés dans les EIAH pour adapter le contenu et estimer la progression du niveau de connaissance des apprenants est le BKT (\textit{Bayesian Knowledge Tracing}) \cite{ZHANG2018189}. Ce modèle utilise quatre paramètres pour estimer la progression des connaissances. $P(k)$ estime la probabilité de connaissance dans une compétence spécifique. $P(w)$, est la probabilité que l'apprenant démontre ses connaissances. $P(s)$, est la probabilité que l'apprenant fasse une erreur. $P(g)$, est la probabilité que l'apprenant ait deviné une réponse. La valeur estimée de la connaissance est mise à jour selon les équations \ref{eqbkt1}, \ref{eqbkt2} et \ref{eqbkt3}. Si la réponse de l'apprenant est correcte, l'équation \ref{eqbkt1} est utilisée, mais si la réponse est incorrecte, l'équation \ref{eqbkt2} est utilisée. \begin{equation} P(k_{t-1}|Correct_t)=\frac{P(k_{t-1})(1-P(s))}{P(k_{t-1})(1-P(s))+(1-P(k_{t-1}))P(g)} @@ -405,7 +408,7 @@ Le module de recommandation proposé, associé à AI-VT, est fondé sur le parad \label{fbeta} \end{equation} -En utilisant la definition formelle de la fonction $\Gamma$ (équation \ref{eqGamma1}) et en remplaçant certaines variables, une nouvelle expression de la fonction Beta est obtenue (équation \ref{f2beta}). +En utilisant la définition formelle de la fonction $\Gamma$ (équation \ref{eqGamma1}) et en remplaçant certaines variables, une nouvelle expression de la fonction Beta est obtenue (équation \ref{f2beta}). \begin{equation} \Gamma(z)=\int_0^\infty e^{-x} x^{z-1} dx @@ -417,7 +420,7 @@ En utilisant la definition formelle de la fonction $\Gamma$ (équation \ref{eqGa \label{f2beta} \end{equation} -En exprimant les deux intégrales du denominateur comme une seule intégrale, l'équation \ref{f3Beta} est obtenue. +En exprimant les deux intégrales du dénominateur comme une seule intégrale, l'équation \ref{f3Beta} est obtenue. \begin{equation} \int_{u=0}^{\infty}\int_{v=0}^\infty e^{-u-v} u^{\alpha-1} v^{\beta-1}du dv @@ -447,7 +450,8 @@ $u=st$, $v=s(1-t)$, $s=u+v$ et $t=u/(u+v)$ sont ensuite remplacées par le résu \label{f4Beta} \end{equation} -Viennent ensuite les équations \ref{f5Beta} et \ref{f6Beta} en exprimant les intégrales en fonction des variables indépendantes $s$ et $t$. +Viennent ensuite les équations \ref{f5Beta} et \ref{f6Beta} en exprimant les intégrales en fonction des variables de substitution indépendantes $s$ et $t$. +%\colorbox{yellow}{, elles expriment?} \begin{equation} \int_{s=0}^\infty e^{-s}s^{\alpha+\beta-1}ds \int_{t=0}^1 t^{\alpha-1}(1-t)^{\beta-1}dt @@ -491,16 +495,16 @@ La divergence de Jenser-Shannon est fondée sur la divergence de Kullback-Lieble \label{djs2} \end{equation} -La prédiction utilisée dans le module proposé est fondée sur les travaux de \cite{10.1007/978-3-031-63646-2_11}. Il s'agit d'un modèle d'empilement de raisonnement à partir de cas mettant en œuvre deux niveaux d'intégration. Le module utilise globalement la stratégie d'empilement pour exécuter plusieurs algorithmes afin de rechercher des informations dans un ensemble de données et générer des solutions à différents problèmes génériques. En outre une étape d'évaluation permet de sélectionner la solution la plus optimale pour un problème donné en fonction d'une métrique adaptative définie pour les problèmes de régression. +La prédiction utilisée dans le module proposé est fondée sur les travaux de \cite{10.1007/978-3-031-63646-2_11}. \colorbox{yellow}{peut on dire que la prédiction est fondée sur tes propres travaux?}Il s'agit d'un algorithme d'empilement de raisonnement à partir de cas mettant en œuvre deux niveaux d'intégration. Le module utilise globalement la stratégie d'empilement pour exécuter plusieurs algorithmes afin de rechercher des informations dans un ensemble de données et générer des solutions à différents problèmes génériques. En outre une étape d'évaluation permet de sélectionner la solution la plus optimale pour un problème donné en fonction d'une métrique adaptative définie pour les problèmes de régression. -\subsection{Module Proposé} +\subsection{Algorithme Proposé} \label{Sec:TS-ESCBR-SMA} -Nous proposons ici une intégration du module d'adaptation stochastique (fondé sur l'échantillonnage de Thompson) avec le raisonnement à partir de cas d'ensemble (ESCBR-SMA). Dans ce cas, le module de recommandation révise la séance en fonction des notes de l'apprenant et l'ESCBR-SMA effectue une prédiction pour valider l'adaptation générée. +Nous proposons ici une intégration de l'algorithme d'adaptation stochastique (fondé sur l'échantillonnage de Thompson) avec le raisonnement à partir de cas d'ensemble (ESCBR-SMA). \colorbox{yellow}{il faut dire pourquoi on ne l'a pas fait sur DM }Dans ce cas, le module de recommandation révise la séance en fonction des notes de l'apprenant et l'ESCBR-SMA effectue une prédiction pour valider l'adaptation générée. L'idée est d'unifier les deux modules en se fondant à la fois sur des informations locales (recommandation fondée sur l'échantillonnage de Thompson et les informations propres à l'apprenant), et sur des informations globales (cas similaires de la base de connaissances du système de RàPC). -L'architecture du modèle est présentée sur la figure \ref{fig:Amodel}, où l'on peut voir que les deux modèles TS et RàPC sont exécutés en parallèle et indépendamment. Des synchronisations sont faites après obtention des résultats de chaque module sont obtenus. Ces résultats sont unifiés via d'une fonction de pondération. La recommandation finale est calculée selon l'équation \ref{eqMixModels_}. La consolidation des résultats permet d'atténuer l'effet \textit{paradoxe de Simpson} \cite{10.1145/3578337.3605122} caractérisant des tendances divergentes lors de l'unification d'ensembles de données différents \cite{lei2024analysis}. \colorbox{yellow}{<== Contresens ?} +L'architecture du modèle est présentée sur la figure \ref{fig:Amodel}, où l'on peut voir que les deux modèles TS et RàPC sont exécutés en parallèle et indépendamment. Des synchronisations sont faites après obtention des résultats de chaque module sont obtenus. \colorbox{yellow}{revoir al phrase, suppr sont obtenus?}Ces résultats sont unifiés via d'une fonction de pondération. La recommandation finale est calculée selon l'équation \ref{eqMixModels_}. La consolidation des résultats permet d'atténuer l'effet \textit{paradoxe de Simpson} \cite{10.1145/3578337.3605122} caractérisant des tendances divergentes lors de l'unification d'ensembles de données différents \cite{lei2024analysis}. \colorbox{yellow}{<== Contresens ?} \begin{figure} \centering @@ -536,8 +540,10 @@ La première étape est l'adaptation avec l'échantillonnage de Thompson. Vient \caption{Paramètres (p), variables (v) et fonctions (f) du modèle proposé et métriques utilisées} \label{tabvp} \end{table} +\colorbox{yellow}{temps défini par itération?} +\colorbox{yellow}{la figure 7.7 n'est pas jolie/lisible} -Comme exprimé précedemment, le processus de recommandation se fait en trois étapes. Tout d'abord, il est nécessaire d'avoir des valeurs aléatoires pour chaque niveau de complexité $c$ en utilisant les distributions de probabilité générées avec le modèle TS (équation \ref{IntEq1_}). Une fois que toutes les valeurs de probabilité correspondant à tous les niveaux de complexité ont été obtenues, la normalisation de toutes ces valeurs est calculée selon l'équation \ref{IntEq2_}. Les valeurs de normalisation servent de paramètres de priorité pour les prédictions effectuées par ESCBR-SMA (équation \ref{eqMixModels_}). La recommandation finalement proposée est celle dont la valeur est la plus élevée. +Comme exprimé précédemment, le processus de recommandation se fait en trois étapes. Tout d'abord, il est nécessaire d'avoir des valeurs aléatoires pour chaque niveau de complexité $c$ en utilisant les distributions de probabilité générées avec le modèle TS (équation \ref{IntEq1_}). Une fois que toutes les valeurs de probabilité correspondant à tous les niveaux de complexité ont été obtenues, la normalisation de toutes ces valeurs est calculée selon l'équation \ref{IntEq2_}. Les valeurs de normalisation servent de paramètres de priorité pour les prédictions effectuées par ESCBR-SMA (équation \ref{eqMixModels_}). La recommandation finalement proposée est celle dont la valeur est la plus élevée. \begin{equation} TS_c=rand(Beta(\alpha_c, \beta_c)) @@ -558,10 +564,10 @@ Comme exprimé précedemment, le processus de recommandation se fait en trois é Le principal inconvénient posé par la validation d'un tel système « en situation réelle » est la difficulté à collecter des données et à évaluer des systèmes différents dans des conditions strictement similaires. Cette difficulté est accentuée dans les contextes d'apprentissage autorégulés, puisque les apprenants peuvent quitter la plateforme d'apprentissage à tout moment rendant ainsi les données incomplètes \cite{badier:hal-04092828}. -Pour cette raison, les différentes approches proposées ont été testées sur des données générées : les notes et les temps de réponse de 1000 apprenants fictifs et cinq questions par niveau de complexité. Les notes des apprenants ont été créés en suivant la loi de distribution logit-normale que nous avons jugée proche de la réalité de la progression d'un apprentissage. +Pour cette raison, les différentes approches proposées ont été testées sur des données générées : les notes et les temps de réponse de 1000 apprenants fictifs et cinq questions par niveau de complexité. Les notes des apprenants ont été créées en suivant la loi de distribution logit-normale que nous avons jugée proche de la réalité de la progression d'un apprentissage.\colorbox{yellow}{lien vers la base générée?} -Plusieurs séries de tests ont été effectués. La première série a été menée sur le système AI-VT intégrant le système de RàPC pour la régression afin de démontrer la capacité du modèle à prédire les notes à différents niveaux de complexité. -Une autre série de tests a évalué la progression des connaissances avec TS afin d'analyser la capacité du module à proposer des recommandations personnalisées. Le système a été testé aussi avec une base de données réel en mesurant la stabilité et la precision. Aussi nous avons comparé les modèles de recommandation BKT et TS. Enfin, lors de la dernière série de tests, nous avons comparé TS seul et TS avec ESCBR-SMA. +Quatre séries de tests ont été effectuées. La première série a été menée sur le système AI-VT intégrant le système de RàPC pour la régression afin de démontrer la capacité du modèle à prédire les notes à différents niveaux de complexité. +La deuxième série de tests a évalué la progression des connaissances avec TS afin d'analyser la capacité du module à proposer des recommandations personnalisées. Lors de la troisième série de tests, nous avons comparé les modèles de recommandation BKT et TS. Enfin, lors de la quatrième série de tests, nous avons comparé TS seul et TS avec ESCBR-SMA. \subsubsection{Régression avec ESCBR-SMA pour l'aide à l'apprentissage humain} @@ -569,7 +575,7 @@ Le SMA que nous avons implémenté utilise un raisonnement bayésien, ce qui per ESCBR-SMA utilise une fonction noyau pour obtenir la meilleure approximation de la solution du problème cible. Dans notre cas, l'obtention de la meilleure solution est un problème NP-Difficile car la formulation est similaire au problème de Fermat-Weber à $N$ dimensions \cite{doi:10.1137/23M1592420}. -Les différents scénarios du tableau \ref{tab:scenarios} ont été considérés dans un premier temps. Dans le scénario $E_1$, il s'agit de prédire la note d'un apprenant au premier niveau de complexité, après 3 questions. Le scénario $E_2$ considère les notes de 8 questions et l'objectif est de prédire la note de 9 questions dans le même niveau de complexité. Le scénario $E_3$ considère les données permettant de prédire le passage à un niveau de complexité supérieur après 4 questions. +Les différents scénarios du tableau \ref{tab:scenarios} ont été considérés dans un premier temps. Dans le scénario $E_1$, il s'agit de prédire la note d'un apprenant au premier niveau de complexité, après 3 questions. Le scénario $E_2$ considère les notes de 8 questions et l'objectif est de prédire la note de 9 questions dans le même niveau de complexité. \colorbox{yellow}{les notes des 9 questions?}Le scénario $E_3$ considère les données permettant de prédire le passage à un niveau de complexité supérieur après 4 questions. \colorbox{yellow}{Je ne comprends pas ce scénario E3. La reformulation suivante est-elle correcte ? }\\ \colorbox{yellow}{Dans $E_3$, l'objectif est d'interpoler le fait qu'il faille passer ou non }\\ \colorbox{yellow}{à un niveau de complexité supérieur après 4 questions.}\\ @@ -690,7 +696,7 @@ La figure \ref{fig:evolution} montre la progression cumulée des connaissances s \subsubsection{Système de recommandation avec une base de données d'étudiants réels} -Le système de recommandation ET a été testé avec un ensemble de données adaptées extraites de données réelles d'interactions d'étudiants avec un environnement d'apprentissage virtuel pour différents cours \cite{Kuzilek2017}. Le total des apprenants est de 23366. Dans cette base de données il y a les notes de l'apprenant dans différents cours et de multiples types d'évaluations. Il s'agit du troisième test, pour lequel le format de la base de données est adapté à la structure AI-VT (notes, temps de réponse et niveau de complexité), les niveaux de complexité sont divisés en cinq niveaux. La figure \ref{fig:stabilityBP} a été générée après 100 exécutions de l'algorithme et montre que malgré la stochasticité, l'algorithme est stable parce que la variance globale dans tous les niveaux de complexité est faible en fonction du nombre total d'apprenants et du nombre total de recommandations.\\ +Le système de recommandation TS a été testé avec un ensemble de données adaptées extraites de données réelles d'interactions d'étudiants avec un environnement d'apprentissage virtuel pour différents cours \cite{Kuzilek2017}. Le total des apprenants est de 23366. Cette base de données contient les notes des apprenants dans différents cours et de multiples types d'évaluations. Il s'agit du troisième test, \colorbox{yellow}{je ne comprends pas 3ème test}pour lequel le format de la base de données est adapté à la structure AI-VT (notes, temps de réponse et niveau de complexité), les niveaux de complexité sont divisés en cinq niveaux. La figure \ref{fig:stabilityBP} a été générée après 100 exécutions de l'algorithme et montre que malgré la stochasticité, l'algorithme est stable parce que la variance globale dans tous les niveaux de complexité est faible en fonction du nombre total d'apprenants et du nombre total de recommandations.\\ \begin{figure}[!ht] \centering @@ -699,7 +705,7 @@ Le système de recommandation ET a été testé avec un ensemble de données ada \label{fig:stabilityBP} \end{figure} -La précision de la recommandation pour tous les apprenants est évaluée en considérant comme comportement correct deux états : i) le modèle recommande un niveau où l'apprenant a une note supérieure ou égal à 6 et ii) le modèle recommande un niveau inférieur au niveau réel évalué par l'apprenant. Le premier cas montre que le modèle a identifié le moment précis où l'apprenant doit augmenter le niveau de complexité, le second cas permet d'établir que le modèle propose de renforcer un niveau de complexité plus faible, puis la précision est calculée comme le rapport entre le nombre d'états correspondant aux comportements corrects définis et le nombre total de recommandations. La figure \ref{fig:precision} montre les résultats de cette métrique après 100 exécutions.\\ +La précision de la recommandation pour tous les apprenants est évaluée en considérant comme comportement correct deux états : i) le modèle recommande un niveau où l'apprenant a une note supérieure ou égal à 6 et ii) le modèle recommande un niveau inférieur au niveau réel évalué par l'apprenant. Le premier cas montre que le modèle a identifié le moment précis où l'apprenant doit augmenter le niveau de complexité, le second cas permet d'établir que le modèle propose de renforcer un niveau de complexité plus faible. Puis la précision est calculée comme le rapport entre le nombre d'états correspondant aux comportements corrects définis et le nombre total de recommandations. La figure \ref{fig:precision} montre les résultats de cette métrique après 100 exécutions.\\ \begin{figure}[!ht] \centering @@ -710,7 +716,7 @@ La précision de la recommandation pour tous les apprenants est évaluée en con \subsubsection{Comparaison entre TS et BKT} -La figure \ref{fig:EvGrades} permet de comparer la recommandation fondé sur l'échantillonnage de Thompson et celle fondé sur BKT. Cette figure montre l'évolution des notes des apprenants en fonction du nombre de questions auxquelles ils répondent dans la même séance. Dans ce cas, le TS génère moins de variabilité que BKT, mais les évolutions induites par les deux systèmes restent globalement très similaires. +La figure \ref{fig:EvGrades} permet de comparer la recommandation fondée sur l'échantillonnage de Thompson et celle fondée sur BKT. Cette figure montre l'évolution des notes des apprenants en fonction du nombre de questions auxquelles ils répondent dans la même séance. Dans ce cas, le TS génère moins de variabilité que BKT, mais les évolutions induites par les deux systèmes restent globalement très similaires. \begin{figure}[!ht] \centering @@ -730,7 +736,7 @@ Toutefois, si l'on considère l'évolution du niveau de complexité recommandé \subsubsection{Système de recommandation avec ESCBR-SMA} -Le troisième étape est l'association deux modèles afin de combiner des observations qui ne sont pas directement liées l'une à l'autre, c'est-à-dire en utilisant l'information individuelle (recommandation avec Thomson) et le filtre collaboratif (interpolation avec ESCBR-SMA). Cette partie présente une comparaison entre le système de recommandation TS et le système de recommandation TS intégrée à la prédiction ESCBR-SMA. +Le troisième étape est l'association des deux modèles afin de combiner des observations qui ne sont pas directement liées l'une à l'autre, c'est-à-dire en utilisant l'information individuelle (recommandation avec Thomson) et le filtre collaboratif (interpolation avec ESCBR-SMA). Cette partie présente une comparaison entre le système de recommandation TS et le système de recommandation TS intégrée à la prédiction ESCBR-SMA. Les résultats proposés sont comparés après réponse des apprenants à six questions car il est nécessaire de disposer d'informations préalables pour utiliser l'algorithme ESCBR-SMA et prédire les notes dans tous les niveaux de complexité à la question suivante. @@ -788,9 +794,11 @@ Dans la partie précédente, nous avons proposé un système capable de permettr L'algorithme proposé est une intégration de la recommandation stochastique (fondée sur l'échantillonnage de Thompson), du raisonnement à partir de cas (ESCBR-SMA) et du processus de Hawkes. Dans ce cas, l'algorithme de recommandation produit une adaptation en fonction des notes de l'apprenant et l'ESCBR-SMA effectue une prédiction pour valider l'adaptation générée, le processus de Hawkes simule la courbe d'oubli dans le processus d'apprentissage. -L'idée de cette unification est d'obtenir des informations d'un point de vue local où une recommandation est obtenue en se fondant sur les informations des apprenants individuels (rôle de l'échantillonnage de Thompson), la prédiction globale fondée sur les expériences acquises précédemment par le système (le système de RàPC fournit des exercices ayant permis par le passé à d'autres apprenants aux profiles similaires d'acquérir les connaissances visées), et le processus d'apprentissage dynamique avec le processus de Hawkes. +L'idée de cette unification est d'obtenir des informations d'un point de vue local où une recommandation est obtenue en se fondant sur les informations des apprenants individuels (rôle de l'échantillonnage de Thompson), la prédiction globale fondée sur les expériences acquises précédemment par le système (le système de RàPC fournit des exercices ayant permis par le passé à d'autres apprenants aux profils similaires d'acquérir les connaissances visées), et le processus d'apprentissage dynamique avec le processus de Hawkes. +\colorbox{yellow}{attention profil et non profile} -La figure \ref{fig:Amodel} montre de quelle manière sont organisés ces différents modules les uns par rapport aux autres. TS et ESCBR-SMA sont exécutés en parallèle et indépendamment avec les informations extraites de la même base de connaissances. Une fois que les résultats de chaque modules sont obtenus, ils sont unifiés par une fonction de pondération et une distribution de probabilité mises à jour dynamiquement en fonction des événements passés et du niveau de complexité sélectionné. Une dernière étape permet de consolider et d'atténuer l'effet du paradoxe de Simpson \cite{10.1145/3578337.3605122}. +La figure \ref{fig:Amodel} montre de quelle manière sont organisés ces différents modules les uns par rapport aux autres. TS et ESCBR-SMA sont exécutés en parallèle et indépendamment avec les informations extraites de la même base de connaissances. Une fois que les résultats de chaque module sont obtenus, ils sont unifiés par une fonction de pondération et une distribution de probabilité mises à jour dynamiquement\colorbox{yellow}{la fonctions de pondération est également mise à jour?} en fonction des événements passés et du niveau de complexité sélectionné. Une dernière étape permet de consolider et d'atténuer l'effet du paradoxe de Simpson \cite{10.1145/3578337.3605122}. +\colorbox{yellow}{je ne me souviens plus s'il a été explicité} \begin{figure}[!ht] \centering @@ -860,7 +868,7 @@ Et pour chaque niveau de complexité $c$, l'équation \ref{eqBetaH} décrit la d \subsubsection{Système de recommandation avec une base de données d'étudiants réels (TS avec Hawkes)} -Le système de recommandation TS a été testé avec un ensemble de données adaptées extraites des données réelles des interactions des étudiants avec un environnement d'apprentissage virtuel pour différents cours \cite{Kuzilek2017}. Cet ensemble de données compte 23366 apprenants répartis dans différents cours et évalués de différentes manières. +Le système de recommandation TS a été testé avec un ensemble de données adaptées extraites des données réelles des interactions des étudiants avec un environnement d'apprentissage virtuel pour différents cours \cite{Kuzilek2017}. Cet ensemble de données compte 23366 apprenants répartis dans différents cours et évalués de différentes manières. \colorbox{yellow}{la ref permet de retrouver la bd?} Le format de cet ensemble de données est adapté à la structure de la connaissance dans AI-VT (notes, temps de réponse et niveau de complexité), et les exercices y sont répartis en cinq niveaux de complexité. La figure \ref{fig:stabilityBP} montre le nombre de recommandations générées par un processus d'apprentissage statique et par le module dynamique associant TS au processus de Hawkes, sur les différents niveaux de complexité. Cette figure montre les moyennes obtenues avec 100 exécutions des algorithmes. La faible variance globale obtenue dans tous les niveaux de complexité montre la stabilité des recommandations. @@ -871,6 +879,7 @@ Le format de cet ensemble de données est adapté à la structure de la connaiss \caption{Nombre de recommandations par niveau de complexité (à gauche processus d'apprentissage statique, à droite processus d'apprentissage dynamique avec processus de Hawkes)} \label{fig:stabilityBP} \end{figure} +\colorbox{yellow}{pas de gauche et droite} Le module incluant le processus de Hawkes recommande plus de niveaux de faible complexité car la connaissance tend à diminuer avec le temps, avant de tendre à renforcer la connaissance dans tous les niveaux de complexité. La configuration initiale privilégiant les niveaux inférieurs (grâce à une plus grande probabilité), le module tend à répéter les niveaux plus accessibles nécessaires pour atteindre les niveaux supérieurs. @@ -894,11 +903,11 @@ Un scénario spécifique a été défini sans données initiales (notes et temps TS-Hawkes&0.9414&0.7175&0.6434&0.5761&0.5448&3.4232&68.464\\ %TS-Hawkes&0.9432&0.7107&0.6253&0.5853&0.5291&3.3936&67.872\\ \end{tabular} - \caption{Comparison entre ESCBR-TS et ESCBR-TS-Hawkes lors d'un démarrage à froid.} + \caption{Comparaison entre ESCBR-TS et ESCBR-TS-Hawkes lors d'un démarrage à froid.} \label{tab:my_label} \end{table} -La variance (figure \ref{fig:vars}) montre qu'avec le processus de Hawkes, les valeurs sont maintenues autour de la configuration initiale, ce qui permet une plus grande adaptabilité aux changements dynamiques des connaissances qui se produisent dans le processus d'apprentissage. Étant donné que la distribution de probabilité Beta converge rapidement vers une valeur unique, plus on obtient de valeurs, plus la variance est faible et s'il y a un changement dans la valeur de convergence, la distribution a besoin de plus de données pour converger vers la nouvelle valeur. Ce dernier comportement peut être expliqé par le fait que les changements dans la moyenne sont proportionnels à la valeur de la variance avec un pas de changement constant pour les paramètres. Dans le cas de la modélisation du processus d'apprentissage, il est donc préférable de maintenir une valeur de variance relativement élevée pour faciliter l'adaptation aux changements imprévus. +La variance (figure \ref{fig:vars}) montre qu'avec le processus de Hawkes, les valeurs sont maintenues autour de la configuration initiale, ce qui permet une plus grande adaptabilité aux changements dynamiques des connaissances qui se produisent dans le processus d'apprentissage. Étant donné que la distribution de probabilité Beta converge rapidement vers une valeur unique, plus on obtient de valeurs, plus la variance est faible et s'il y a un changement dans la valeur de convergence, la distribution a besoin de plus de données pour converger vers la nouvelle valeur. Ce dernier comportement peut être expliqué par le fait que les changements dans la moyenne sont proportionnels à la valeur de la variance avec un pas de changement constant pour les paramètres. 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(pdftex.def) Requested size: 427.43153pt x 209.34462pt. -Underfull \vbox (badness 10000) has occurred while \output is active [] +Overfull \hbox (426.0203pt too wide) in paragraph at lines 190--191 +[][][][][][] + [] - [78 <./Figures/comp2.png>] +[78 <./Figures/comp2.png>] <./Figures/comp3.png, id=1319, 14.98512pt x 7.33133pt> File: ./Figures/comp3.png Graphic file (type png) -Package pdftex.def Info: ./Figures/comp3.png used on input line 194. +Package pdftex.def Info: ./Figures/comp3.png used on input line 195. (pdftex.def) Requested size: 427.43153pt x 209.34462pt. -<./Figures/comp4.png, id=1321, 14.9377pt x 7.31236pt> + +Underfull \hbox (badness 2573) in paragraph at lines 200--201 +[]\T1/phv/m/n/10.95 Les ques-tions de la pre-mière et la deuxième séance étant +de ni-veaux 0 et + [] + + +Underfull \hbox (badness 4096) in paragraph at lines 200--201 +\T1/phv/m/n/10.95 1, le sys-tème a pro-posé des ni-veaux de com-plexité 1 ou 2 +pour la troi- + [] + + +Underfull \hbox (badness 5133) in paragraph at lines 200--201 +\T1/phv/m/n/10.95 sième séance. La fi-gure []7.4[] montre que le sys-tème ori-g +i-nal est très lent + [] + + +Underfull \hbox (badness 3536) in paragraph at lines 200--201 +\T1/phv/m/n/10.95 à pas-ser d'un ni-veau à l'autre et les chan-ge-ments sont ab +rupts pour tous. + [] + +<./Figures/comp4.png, id=1322, 14.9377pt x 7.31236pt> File: ./Figures/comp4.png Graphic file (type png) -Package pdftex.def Info: ./Figures/comp4.png used on input line 202. +Package pdftex.def Info: ./Figures/comp4.png used on input line 203. 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(pdftex.def) Requested size: 427.43153pt x 198.89235pt. -[82 <./Figures/metric2.png>] [83] [84] [85] -Underfull \hbox (badness 2644) in paragraph at lines 494--495 -[]\T1/phv/m/n/10.95 La pré-dic-tion uti-li-sée dans le mo-dule pro-posé est fon --dée sur les tra-vaux de - [] - -[86] - -File: Figures/Model.png Graphic file (type png) - -Package pdftex.def Info: Figures/Model.png used on input line 507. -(pdftex.def) Requested size: 299.20076pt x 246.07831pt. - -Underfull \vbox (badness 4713) has occurred while \output is active [] - - [87] -Underfull \vbox (badness 3701) has occurred while \output is active [] - - [88 <./Figures/Model.png>] -Underfull \hbox (badness 3386) in paragraph at lines 572--577 -[]\T1/phv/m/n/10.95 Les dif-fé-rents scé-na-rios du ta-bleau []7.8[] ont été co -nsi-dé-rés dans un pre-mier +[82 <./Figures/metric2.png>] [83] [84] [85] [86] +Underfull \hbox (badness 10000) in paragraph at lines 498--499 +[]\T1/phv/m/n/10.95 La pré-dic-tion uti-li-sée dans le mo-dule pro-posé est [] -Underfull \hbox (badness 3158) in paragraph at lines 572--577 -\T1/phv/m/n/10.95 mier ni-veau de com-plexité, après 3 ques-tions. Le scé-na-ri -o $\OML/txmi/m/it/10.95 E[]$ \T1/phv/m/n/10.95 consi-dère les +Underfull \hbox (badness 10000) in paragraph at lines 498--499 +\T1/phv/m/n/10.95 fon-dée sur les tra-vaux de [[]]. [] -Underfull \hbox (badness 1635) in paragraph at lines 572--577 -\T1/phv/m/n/10.95 notes de 8 ques-tions et l'ob-jec-tif est de pré-dire la note - de 9 ques-tions dans +Underfull \hbox (badness 10000) in paragraph at lines 498--499 +[][][][][][]\T1/phv/m/n/10.95 Il s'agit d'un al- [] - -Underfull \hbox (badness 1297) in paragraph at lines 572--577 -\T1/phv/m/n/10.95 de pré-dire le pas-sage à un ni-veau de com-plexité su-pé-rie -ur après 4 ques-tions. - [] - -[89] -Overfull \hbox (14.1589pt too wide) in paragraph at lines 615--637 + +File: Figures/Model.png Graphic file (type png) + +Package pdftex.def Info: Figures/Model.png used on input line 511. +(pdftex.def) Requested size: 299.20076pt x 246.07831pt. +[87] [88 <./Figures/Model.png>] [89] +Overfull \hbox (14.1589pt too wide) in paragraph at lines 621--643 [][] [] [90] - + File: Figures/kEvol_TS.jpg Graphic file (type jpg) -Package pdftex.def Info: Figures/kEvol_TS.jpg used on input line 684. +Package pdftex.def Info: Figures/kEvol_TS.jpg used on input line 690. 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