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b/chapters/Conclusions.tex @@ -6,9 +6,9 @@ C'est ainsi que les outils de IA et apprentissage automatique se trouvent au centre des possibles solutions dans cette problématique, car ils permettent de travailler avec des données structurées selon un contexte déterminé, explorer et exploiter les espaces ou sont définis ces données, analyser et extraire l'information utile pour connaître les comportements, tendances et faiblesses des apprenants. De tous les outils d'IA ceux dont le fonctionnement a besoin de peu de données pour bien extraire, identifier et prédire sont les plus adaptés pour résoudre le problème, car il est très compliqué d'avoir grand quantités de données pour entrainer et évaluer une IA comme celles qui appartiennent au ensemble du deep learning. C'est l'une des raisons pour lesquelles les contributions réalisées dans ce travail ont permis d'améliorer l'environnement informatique d'apprentissage humain AI-VT, en proposant des recommandations dynamiques et plus adaptées à chaque apprenant en utilisant l'apprentissage par renforcement, la génération de solutions stochastique, le raisonnement Bayésien, les approches d'ensemble avec plusieurs algorithmes dans deux stages, l'optimisation stochastique itérative, l'intégration d'approches locales et collaboratifs, le raisonnement à partir de cas avec les systèmes multi-agents et le processus de Hawkes. -Les jeux de données testés (réel et simulé) ont permis de tester la solidité du modèle pour chacune des étapes du développement ainsi comme l'amélioration progressive jusque l'unification de tous les modèles proposés. Aussi pour tester la qualité des recommandations générées ont été définies deux métriques qui ont permis de mesurer avec précision le degré d'adaptabilité en rapport avec la performance de chaque apprenant. - +Les jeux de données testés (réels et simulé) ont permis de tester la solidité du modèle pour chacune des étapes du développement ainsi comme l'amélioration progressive jusque l'unification de tous les modèles proposés. Aussi pour tester la qualité des recommandations générées ont été définies deux métriques qui ont permis de mesurer avec précision le degré d'adaptabilité en rapport avec la performance de chaque apprenant. +Les résultats obtenus avec chaque modèle proposé dans les étapes d'évolution en suivant les métriques définies, montrent que il y a une performance compétitive par rapport aux algorithmes et modèles qui sont utilisés actuellement comme référence de l'état de l'art. 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L'augmentation de la moyenne du niveau de connaissance entre la première et la dernière question de la même séance montre que tous les apprenants ont statistiquement augmenté leur niveau de connaissance. La variabilité augmente à partir de la première question jusqu'à la question neuf, où le système a acquis plus d'informations sur les apprenants. À ce stade, la variabilité diminue et la moyenne augmente. +\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.\\ + +\begin{figure}[!ht] + \centering + \includegraphics[width=1\linewidth]{Figures/stabilityBoxplot.png} + \caption{Nombre de recommandations par niveau de complexité} + \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. La figure \ref{fig:precision} montre les résultats de cette métrique après 100 exécutions.\\ + +\begin{figure}[!ht] + \centering + \includegraphics[width=1\linewidth]{Figures/precision.png} + \caption{Précision de la recommandation} + \label{fig:precision} +\end{figure} + \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. @@ -745,7 +765,7 @@ Cette figure montre une bifurcation après la septième question.\\ \begin{figure}[!h] \centering - \includegraphics[width=\textwidth]{Figures/TS-ESCBR.png} + \includegraphics[width=1\textwidth]{Figures/Metric4.jpg} \caption{Normalisation de la différence de progression entre l'échantillonnage de Thompson et l'échantillonnage de Thompson avec ESCBR-SMA pour 1000 apprenants} \label{fig_cmp2} \end{figure} @@ -781,7 +801,7 @@ La figure \ref{fig:Amodel} montre de quelle manière sont organisés ces différ La première étape est l'adaptation avec l'échantillonnage de Thompson et la prédiction de l'ECBR-SMA. Celle-ci est suivie par la prise de décision pour l'envoi à l'apprenant. Le système de recommandation obtient une valeur de probabilité pour tous les niveaux de complexité pour l'apprenant et l'ECBR-SMA évalue la proposition avec une prédiction pour chaque niveau de complexité. Le tableau \ref{tabvp} présente les variables et les paramètres du module proposé et les mesures employées. -Après la sélection du niveau de complexité, toutes les distributions de probabilité sont mises à jour selon le processus de Hawkes (équation \ref{hp1}) pour chaque paramètre $\alpha$ et $\beta$ en utilisant la fonction d'intensité définie constante (équations \ref{hp21} et \ref{hp22}) et la fonction d'excitation (équation \ref{hp31}), afin de simuler la courbe d'oubli dans l'évolution de la distribution de probabilité Beta. +Après la sélection du niveau de complexité, toutes les distributions de probabilité sont mises à jour selon le processus de Hawkes (équation \ref{hp1}) pour chaque paramètre $\alpha$ et $\beta$ en utilisant la fonction d'intensité définie constante (équations \ref{hp21} et \ref{hp22}) et la fonction d'excitation (équation \ref{hp30} avec des valeurs $\alpha=10$ et $\beta=0.02$ équation \ref{hp31}), afin de simuler la courbe d'oubli dans l'évolution de la distribution de probabilité Beta. \begin{equation} \lambda(t)=\mu(t)+\sum_{t_i + File: images_logos/image1_logoUBFC_grand.png Graphic file (type png) Package pdftex.def Info: images_logos/image1_logoUBFC_grand.png used on input line 234. 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