<?php //Q-learning algorythm in php //Source: https://k...content-available-to-author-only...s.com/2010/09/24/q-learning/ class Qlearning{ function __construct(){ //$this->df = number_format($number); $this->alpha = 0.1; $this->gamma = 0.9; // states A,B,C,D,E,F // e.g. from A we can go to B or D // from C we can only go to C // C is goal state, reward 100 when B->C or F->C // // _______ // |A|B|C| // |_____| // |D|E|F| // |_____| // $this->stateA = 0; $this->stateB = 1; $this->stateC = 2; $this->stateD = 3; $this->stateE = 4; $this->stateF = 5; $this->statesCount = 5; $this->stateA, $this->stateB, $this->stateC, $this->stateD, $this->stateE, $this->stateF ); // Q(s,a)= Q(s,a) + alpha * (R(s,a) + gamma * Max(next state, all actions) - Q(s,a)) $this->actionsFromA = [ $this->stateB, $this->stateD ]; $this->actionsFromB = [ $this->stateA, $this->stateC, $this->stateE ]; $this->actionsFromC = [ $this->stateC ]; $this->actionsFromD = [ $this->stateA, $this->stateE ]; $this->actionsFromE = [ $this->stateB, $this->stateD, $this->stateF ]; $this->actionsFromF = [ $this->stateC, $this->stateE ]; $this->actions = [ $this->actionsFromA, $this->actionsFromB, $this->actionsFromC, $this->actionsFromD, $this->actionsFromE, $this->actionsFromF ]; $this->stateNames = [ "A", "B", "C", "D", "F", "E" ]; $this->init(); } function init(){ $this->R[$this->stateB][$this->stateC] = 100; $this->R[$this->stateF][$this->stateC] = 100; } function main(){ $this->run(); //$this->printResult(); // $this->showPolicy(); } function run(){ /* 1. Set parameter , and environment reward matrix R 2. Initialize matrix Q as zero matrix 3. For each episode: Select random initial state Do while not reach goal state o Select one among all possible actions for the current state o Using this possible action, consider to go to the next state o Get maximum Q value of this next state based on all possible actions o Compute o Set the next state as the current state */ //var_dump($this->actions); for ($i = 0; $i < 1000; $i++) { // train episodes $state = random_int(0, $this->statesCount); while($state != $this->stateC){ $actionsFromState = $this->actions[$state]; // Selection strategy is random in this example // echo $index . "<br>"; // var_dump($actionsFromState); // echo "<br>"; $action = $actionsFromState[$index]; // echo $action; // Action outcome is set to deterministic in this example // Transition probability is 1 $nextState = $action; // data structure // var_dump($this->Q); $q = $this->Q($state, $action); // var_dump($q); $maxQ = $this->maxQ($nextState); $r = $this->R($state, $action); // $value = $q + $this->alpha * ($r + $this->gamma * $maxQ - $q); // $this->setQ($state, $action, $value); $state = $nextState; } } } function maxQ(){ } function setQ($s, $a, $value){ $this->Q[$s][$a] = $value; } function Q($s, $a){ return $this->Q = [$s][$a]; } function R($s, $a){ return $this->R = [$s][$a]; } } $q_learning = new Qlearning(); $q_learning->main();
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