From d5c40fb1603de0971e4b57623b43424cedb5a0c5 Mon Sep 17 00:00:00 2001 From: dsotofor Date: Sat, 12 Jul 2025 19:22:23 +0200 Subject: [PATCH] version all ok, corrections to do in general conclusion... --- chapters/ESCBR.tex | 8 +++---- chapters/TS.tex | 8 ++----- main.log | 62 ++++++++++++++++++++++++++++------------------------ main.pdf | Bin 5444605 -> 5444544 bytes main.synctex.gz | Bin 895189 -> 894895 bytes 5 files changed, 39 insertions(+), 39 deletions(-) diff --git a/chapters/ESCBR.tex b/chapters/ESCBR.tex index 2af6d24..2706077 100644 --- a/chapters/ESCBR.tex +++ b/chapters/ESCBR.tex @@ -178,9 +178,9 @@ k \sim \left(\frac{1}{nl}\right) \begin{equation} s_{w,j}^m=\begin{cases} - s_{j,k}^m+\mathcal{N}(0,1)& si \; (\mathcal{U}_{int}(0,10))\%2=0\\ - s_{j,k}^m-\mathcal{N}(0,1)&sinon - \end{cases} + s_{j,k}^m+X_1& si \; (X_2)\%2=0\\ + s_{j,k}^m-X_1&sinon + \end{cases};X_1 \sim \mathcal{N}(0,1), X_2 \sim \mathcal{U}_{int}(0,10) \end{equation} \begin{figure} @@ -199,7 +199,7 @@ Dans cette phase, le problème de l'évaluation automatique d'une solution candi La fonction objectif \ref{eqOpt} établit un rapport entre la distance de la solution générée $s^m_w$ et les $x$ solutions connues $s^m_x$ avec un facteur aléatoire de \textit{drift} d'une part, et la distance entre le problème cible $p^n_w$ et les $x$ problèmes connus $p^n_x$ d'autre part. Ici, la difficulté à trouver le point optimal réside dans le fait que les points de l'espace ne peuvent pas tous convenir en tant que solution cible. La solution cible finale dépend donc des informations des solutions connues. L'objectif est d'utiliser les informations disponibles de chaque cas (problème et solution) pour valider et générer l'ensemble de solutions proposées.\\ \begin{equation} -\lambda_x(p_w, s_w) = \left( \frac{d(s_w^m,(s_x^m+rn(0,d(p_w^n, p_i^n))))}{d(p_w^n,p_x^n)^2} \right) +\lambda_x(p_w, s_w) = \left( \frac{d(s_w^m,(s_x^m+X)))}{d(p_w^n,p_x^n)^2} \right); \; X \sim \mathcal{N}(0,d(p_w^n, p_x^n) \label{eqOpt0} \end{equation} diff --git a/chapters/TS.tex b/chapters/TS.tex index 751c5e1..5e309cb 100644 --- a/chapters/TS.tex +++ b/chapters/TS.tex @@ -24,12 +24,8 @@ L'algorithme proposé, en tant que système de recommandation, prend en compte l 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 détectées. Les paramètres initiaux des distributions de probabilité peuvent forcer le système à recommander des niveaux de complexité contigus (juste inférieur ou supérieur). \begin{equation} -B(x, \alpha, \beta) = -\begin{cases} -\frac{x^{\alpha-1}(1-x)^{\beta - 1}}{\int_0^1 u^{\alpha - 1}(1-u)^{\beta - 1}du} & si \; x \in [0, 1] \\ -0&sinon -\end{cases} -\label{eqBeta} + Beta(\theta | \alpha, \beta) = \frac{\Gamma(\alpha + \beta)}{\Gamma(\alpha) \Gamma(\beta)}\theta^{\alpha-1}(1-\theta)^{\beta-1} + \label{eqBeta} \end{equation} \begin{table}[!ht] diff --git a/main.log b/main.log index 0950fd7..4bf22ea 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) 12 JUL 2025 14:38 +This is pdfTeX, Version 3.141592653-2.6-1.40.25 (TeX Live 2023) (preloaded format=pdflatex 2023.5.31) 12 JUL 2025 19:22 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -1786,29 +1786,33 @@ Underfull \vbox (badness 10000) has occurred while \output is active [] ] -Overfull \hbox (19.02232pt too wide) in paragraph at lines 37--63 +Overfull \hbox (19.02232pt too wide) in paragraph at lines 33--59 [][] [] -[74] + +Underfull \vbox (badness 1226) has occurred while \output is active [] + + [74] Package hyperref Info: bookmark level for unknown algorithm defaults to 0 on in -put line 101. - [75] +put line 97. + +[75] <./Figures/dataset.png, id=1293, 15.13687pt x 8.08058pt> File: ./Figures/dataset.png Graphic file (type png) -Package pdftex.def Info: ./Figures/dataset.png used on input line 122. +Package pdftex.def Info: ./Figures/dataset.png used on input line 118. 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