Unit 9 18 Value Iteration 2YouTube↗  IA↗(long shot)
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Before I dive into mathematical detail about value functions, let me just give you a tutorial.
価値関数の数学的な詳細に入る前に 簡単に説明したいと思います
The value function is a potential function
価値関数はポテンシャル関数であり
that leads from the goal location--in this case, the 100 in the upper right--
吸収状態の場所から始まりますが この場合は右上の100です、
all the way into the space so that hill climbing
この空間を下へ広がっていくものであり ポテンシャル関数を山登り法で探索することで
in this potential function leads you on the shortest path to the goal.
吸収状態への最短路となるようになっています
The algorithm is a recursive algorithm.
アルゴリズムは再帰アルゴリズムです
It spreads the value through the space, as you can see in this animation,
アニメーションに示されているように 値が空間に広がっていき
and after a number of iterations, it converges,
反復を繰り返して収束し
and you have a grayscale value that really corresponds to the best way of getting to the goal.
このようなグレースケールの値を得て 目標への最適な経路が分かるようになります
Hill climbing in that function gets you to the goal.
山登り法で最適なゴールにたどり着けるのです
You can simplify. Think about this as pouring a glass of milk
これは例えば＋100のマスに牛乳を注ぎ
into the 100th state and having the milk
グリッド上の迷路に従って 広がっていくようなものです
descend through the maze, and later on, when you go in the gradient of the milk flow,
この牛乳の流れの勾配にさかのぼると 最適な解にたどり着くというように
you will reach the goal in the optimal possible way.
単純化して考えることができます
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