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b/TD/TD5/q_learning.py new file mode 100644 index 0000000..f1f7898 --- /dev/null +++ b/TD/TD5/q_learning.py @@ -0,0 +1,129 @@ +import numpy as np + +def choix_action(epsilon, s, R, Q): + """ Renvoie l'action sélectionnée pour l'état s. Epsilon est une valeur seuil entre 0 et 1 permettant + soit de faire de l'exploration (si tirage aléatoire supérieur au seuil), soit de faire + de l'exploitation (si tirage aléatoire inférieur au seuil) + + Parametres + ---------- + epsilon : seuil (entre 0 et 1) pour choisir entre exploration et exploitation afin de sélectionner une action + s : état courant + R : matrice des récompenses immédiates + Q : matrice représentant la fonction action-valeur + + Retour + ------- + a : action sélectionnée + + """ + + ######################################################### + ##### A compléter (et supprimer l'instruction pass) ##### + ######################################################### + pass + + # return a + +def calcule_q(s, a, alpha, gamma, R, Q): + """ Calcule la nouvelle valeur de la fonction action valeur pour l'état s et l'action a + + Parametres + ---------- + s : état courant + a : action choisie + alpha : vitesse d'apprentissage + gamma : facteur d'actualisation + R : matrice des récompenses immédiates + Q : matrice représentant la fonction action-valeur + + Retour + ------- + q : nouvelle valeur de la fonction action valeur pour l'état s et l'action a + + """ + + ######################################################### + ##### A compléter (et supprimer l'instruction pass) ##### + ######################################################### + pass + + # return q + +def politique(s,Q): + """ Détermine la meilleure action connaissant l'état S et la fonction action valeur Q + + Parametres + ---------- + s : état courant + Q : matrice représentant la fonction action-valeur + + Retour + ------- + a : action sélectionnée + + """ + + ######################################################### + ##### A compléter (et supprimer l'instruction pass) ##### + ######################################################### + pass + + # return a + + + +# ===================== Partie 1: Initialisation des données ===================== +alpha = 1 +gamma = 0.8 +nb_episodes = 1000 +epsilon = 0. + +R = [ + [-1, -1, -1, -1, 0, -1], + [-1, -1, -1, 0, -1, 100], + [-1, -1, -1, 0, -1, -1], + [-1, 0, 0, -1, 0, -1], + [0, -1, -1, 0, -1, 100], + [-1, 0, -1, -1, 0, 100], +] +R = np.array(R) # Matrice des récompenses immédiates +etat_final = 5 + +Q = np.zeros(R.shape) # Matrice représentant la fonction action-valeur + +nb_etats = nb_actions = R.shape[0] + +# ===================== Partie 2: Apprentissage de la fonction action-valeur Q ===================== +print("Apprentissage de la fonction Q") +for i in range(nb_episodes): + print("Episode : ",i) + s = np.random.randint(0,nb_etats) + print("Etat initial : ",s) + while True: + a = choix_action(epsilon, s, R, Q) + print("action choisie : ", a) + + Q[s,a] = calcule_q(s, a, alpha, gamma, R, Q) + + if s == etat_final: + break + + s = a + +print("Matrice Q_value : ", Q) +Q = Q / np.max(Q) * 100 +print("Matrice Q_value normalisée : ", Q) + +# ===================== Partie 3: Exploitation de la politique d'action apprise ===================== + +print("Exploitation") + +s = 2 # choix d'un état initial +print("Etat initial : ", s) + +while s != etat_final : + a = politique(s, Q) + + s = a # nouvel état + print("nouvel état : ",s) -- GitLab