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l2_algorithmique3/arbres.tex 0 → 100644
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%!TEX root = l2_algo3.tex
\section{Arbres}
\begin{itemize}
\item Définitions
\begin{itemize}
\item noeud, père, fils, sous-arbres gauche et droit, hauteur, profondeur, etc.
\item Primitives : accès (valeur utile et structure), création, suppression, parcours
\end{itemize}
\item[\ra] utilisation des pointeurs de fonction pour appliquer un traitement sur l'arbre
\item Arbre binaire, arbre n-aires
\item Arbre binaire de recherche
\begin{itemize}
\item Redéfinition des primitives (certaines deviennent non récursives)
\end{itemize}
\item Tas min et max
\begin{itemize}
\item Redéfinition des primitives: insertion, suppression
\item[+] application au tri par tas
\end{itemize}
\item Arbre AVL
\begin{itemize}
\item rotations, double rotations
\item équilibrage d'arbre
\end{itemize}
\item Arbre rouge noir
\begin{itemize}
\item Redéfinition des primitives: insertion, suppression
\end{itemize}
\end{itemize}
\section{Implémentation des arbres}
{ \small
\begin{langage_c}
typedef struct noeud {
int val; // n'importe quel type de valeur utile
struct noeud *pere, *sag, *sad;
} t_noeud;
typedef struct noeud* t_arbre;
typedef enum type_parcours { PREFIXE, INFIXE, POSTFIXE } t_type_parcours;
/* SA: sous-arbre */
/****************************************
* primitives de modification de la structure de l'arbre
****************************************/
/* renvoie l'arbre dont la racine vaut val, avec les SA sag et sad */
t_arbre creer_arbre(int val, t_arbre sag, t_arbre sad, t_arbre pere);
/* supprime le SA dont la racine est donnée en paramêtre */
int supprimer_arbre(t_arbre*);
t_arbre ajout_gauche(t_arbre, int);
t_arbre ajout_droit(t_arbre, int);
/****************************************
* primitives d'accès à la structure de l'arbre
****************************************/
t_arbre pere(t_arbre); /* renvoie le père s'il existe, NULL sinon */
t_arbre sag(t_arbre); /* renvoie le SA gauche s'il existe, NULL sinon */
t_arbre sad(t_arbre); /* renvoie le SA droit s'il existe, NULL sinon */
/****************************************
* primitives de verification
****************************************/
int arbre_vide(t_arbre); /* renvoie vrai si arbre vide, faux sinon */
int est_racine(t_arbre); /*renvoie vrai si le noeud n'a pas de père */
int est_feuille(t_arbre); /*renvoie vrai si le noeud est une feuille */
/****************************************
* primitives de modification de la valeur de la racine
****************************************/
int modif_racine(t_arbre, int); /* modifie la valeur de la racine du SA */
int val_racine(t_arbre, int*); /* renvoie la valeur de la racine du SA */
/****************************************
* primitives d'affichage
****************************************/
int afficher_arbre(t_arbre, t_type_parcours);
int afficher_arbre_prefixe(t_arbre, int);
int afficher_arbre_infixe(t_arbre, int );
int afficher_arbre_postfixe(t_arbre, int);
void afficher_ancetres(t_arbre a, char end);
int parcours_prefixe(t_arbre, void (*)(int*));
\end{langage_c}
}
\ No newline at end of file
l2_algorithmique3/beamerthemeinformatics.sty 0 → 100644
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l2_algorithmique3/l2_algo3.tex 0 → 100644
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\documentclass[12pt,a4paper,notitlepage]{article}
\usepackage[francais,french]{babel}
\usepackage{epsfig,graphicx,amssymb,enumerate,listings,fancyhdr}
\usepackage[utf8x]{inputenc}
\usepackage{lastpage}
\usepackage{enumitem}
\usepackage{url}
\setlength{\hoffset}{-18pt}
\setlength{\oddsidemargin}{0pt} % Marge gauche sur pages impaires
\setlength{\evensidemargin}{9pt} % Marge gauche sur pages paires
\setlength{\marginparwidth}{54pt} % Largeur de note dans la marge
\setlength{\textwidth}{481pt} % Largeur de la zone de texte (17cm)
\setlength{\voffset}{-18pt} % Bon pour DOS
\setlength{\marginparsep}{7pt} % Séparation de la marge
\setlength{\topmargin}{0pt} % Pas de marge en haut
\setlength{\headheight}{15pt} % Haut de page
\setlength{\headsep}{10pt} % Entre le haut de page et le texte
\setlength{\footskip}{27pt} % Bas de page + séparation
\setlength{\textheight}{708pt} % Hauteur de la zone de texte (25cm)
\setitemize[0]{ label=.}
%\setitemize[1]{leftmargin=*}
\usepackage[colorlinks=true,urlcolor=blue]{hyperref}
\input ../macros.tex
\input ../langage_c
\begin{document}
%%=========================================================================================
\pagestyle{fancyplain}
\lhead{L2 INFO Algorithmique3}
\chead{}
\rhead{Algo3}
%\lfoot{17 Novembre 2017}
\rfoot{\thepage\ / \pageref{LastPage}}
\cfoot{}
\newcommand{\ds}{\displaystyle}
\vspace{\stretch{1}}
%%%- - - - - - - - - - - - - -
\begin{center}
{\large Algorithmique 3}
\end{center}
%%%- - - - - - - - - - - - - -
\input{recursivite.tex}
\newpage
\input{arbres.tex}
\section{type union}
\begin{itemize}
\item Application aux arbres contenant une expression arithmétique / booléenne
\end{itemize}
\begin{langage_c}
typedef union { int ande; char ateur;} t_oper;
typedef struct noeud {
t_oper oper;
struct noeud *pere, *sag, *sad;
} t_noeud;
typedef struct noeud* t_arbre;
\end{langage_c}
\end{document}
l2_algorithmique3/recursivite.tex 0 → 100644
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%!TEX root = l2_algo3.tex
\section{Récursivité}
\begin{itemize}
\item \textbf{Retour sur la portée des variables}
\begin{itemize}
\item variable existe dans un bloc, danger des variables globales (à proscrire au maximum)
\item tout est passé par recopie ! (copie d'une valeur ou d'une adresse)
\end{itemize}
\item Formulation d'un problème récursif
\begin{itemize}
\item Condition d'arrêt de la récursion
\item Appels récursif
\item[\ra] implémentation directe
\end{itemize}
\item Récursivité terminale / non-terminale
\item Algo de dérécursivation
\item Empilage+dépilage des paramètres en mémoire
\item Complexité temps / espace
\item Récursivité simple, multiple, croisée, imbriquée
\end{itemize}
\subsection{Min-Max}
\begin{itemize}
\item Application au min-max
\item[+] Élagage alpha-beta
\end{itemize}
{ \scriptsize
\begin{langage_c}
\end{langage_c}
}
l2_algorithmique3/refs.bib 0 → 100644
View file @ 2aef31dc
@inproceedings{cho2014learning,
title={Learning Phrase Representations using RNN Encoder-Decoder for Statistical Machine Translation},
author={Cho, Kyunghyun and van Merrienboer, Bart and Gulcehre, Caglar and Bougares, Fethi and Schwenk, Holger and Bengio, Yoshua},
booktitle={Conference on Empirical Methods in Natural Language Processing (EMNLP 2014)},
year={2014}
}
@inproceedings{bahdanau2014neural,
title={Neural machine translation by jointly learning to align and translate},
author={Bahdanau, Dzmitry and Cho, Kyunghyun and Bengio, Yoshua},
booktitle={ICLR 2015},
year={2014}
}
@article{gulcehre2015using,
title={On Using Monolingual Corpora in Neural Machine Translation},
author={Gulcehre, Caglar and Firat, Orhan and Xu, Kelvin and Cho, Kyunghyun and Barrault, Loic and Lin, Huei-Chi and Bougares, Fethi and Schwenk, Holger and Bengio, Yoshua},
journal={arXiv preprint arXiv:1503.03535},
year={2015}
}
@article{xu2015showattendtell,
author = {Kelvin Xu and
Jimmy Ba and
Ryan Kiros and
Kyunghyun Cho and
Aaron C. Courville and
Ruslan Salakhutdinov and
Richard S. Zemel and
Yoshua Bengio},
title = {Show, Attend and Tell: Neural Image Caption Generation with Visual
Attention},
journal = {CoRR},
volume = {abs/1502.03044},
year = {2015},
url = {http://arxiv.org/abs/1502.03044},
timestamp = {Mon, 02 Mar 2015 14:17:34 +0100},
biburl = {http://dblp.uni-trier.de/rec/bib/journals/corr/XuBKCCSZB15},
bibsource = {dblp computer science bibliography, http://dblp.org}
}
@article{chung2014gru,
author = {Junyoung Chung and
{\c{C}}aglar G{\"{u}}l{\c{c}}ehre and
KyungHyun Cho and
Yoshua Bengio},
title = {Empirical Evaluation of Gated Recurrent Neural Networks on Sequence