Skip to content

Instantly share code, notes, and snippets.

@karino2
Created March 21, 2017 23:16
Show Gist options
  • Star 8 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save karino2/5b90ee1af063e02da5d5313759f3a9b7 to your computer and use it in GitHub Desktop.
Save karino2/5b90ee1af063e02da5d5313759f3a9b7 to your computer and use it in GitHub Desktop.
Beam Searchについての簡単な説明
Display the source blob
Display the rendered blob
Raw
{"cells":[{"cell_type":"markdown","metadata":{},"source":["### この文書について\n\nhttp://d.hatena.ne.jp/higepon/touch/20170321/1490097594\nでひげぽんが分からん、と言ってたので、自分の理解を書く。\n\n自分もあまり詳しくないので訂正等歓迎。"]},{"cell_type":"markdown","metadata":{},"source":["# Beam Searchの自分の理解\n\n厳密な話はググればどこかにあると思うので、ここでは簡単な例を通して具体的な話をしたい。\n\n## Beam Searchで解きたい問題\n\n各単語の条件つき確率が与えられてる時に、単語の列の同時確率の最大値を与える組み合わせ(ようするにMAPアサインメント)を求めたい。\n\n条件つき確率の条件は、そこまで出た単語。"]},{"cell_type":"markdown","metadata":{},"source":["## 例の問題設定\n\n本稿では以下の例について考える事にする。\n\n「あ」から「う」までの三文字を、4つ並べて単語を作る生成器を考える。\n例えば「ああいあ」とか「あいうあ」とか「ううあう」とか。\n\nそこまでの部分文字列を与えると、次の一文字の確率分布が分かるとする。\n\nこの時、最大の同時確率を与える4文字を求めたい。"]},{"cell_type":"markdown","metadata":{},"source":["## 表記\n\n次の一文字の確率分布を、確率分布表で与える。\nこの時、そこまでの文字をかぎかっこで表の上に書く。\n\n注釈は緑で書く。\n\n例:"]},{"cell_type":"code","execution_count":1,"metadata":{"collapsed":false},"outputs":[{"data":{"image/jpeg":"/9j/4QC8RXhpZgAATU0AKgAAAAgABgEaAAUAAAABAAAAVgEbAAUAAAABAAAAXgEoAAMAAAABAAIA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\nKKKKACiiigAooooAKKKKACiiigD/2Q==\n","text/plain":["<IPython.core.display.Image object>"]},"execution_count":1,"metadata":{},"output_type":"execute_result"}],"source":["MeatPieImage()"]},{"cell_type":"markdown","metadata":{},"source":["## 文字列が与えられれば、その同時確率は簡単に計算出来る\n\nある文字列、例えば「あいあい」などが与えられれば、その確率は、"]},{"cell_type":"code","execution_count":1,"metadata":{"collapsed":false},"outputs":[{"data":{"image/jpeg":"/9j/4QC8RXhpZgAATU0AKgAAAAgABgEaAAUAAAABAAAAVgEbAAUAAAABAAAAXgEoAAMAAAABAAIA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\n/9k=\n","text/plain":["<IPython.core.display.Image object>"]},"execution_count":1,"metadata":{},"output_type":"execute_result"}],"source":["MeatPieImage()"]},{"cell_type":"markdown","metadata":{},"source":["と、条件付き確率の積で表せて、この右辺の各項の確率は与えらているので、計算出来る。\n\n文字列を与えるとその確率は計算出来る事は分かった。\nでは確率最大となる文字列はどう探したらいいだろう?"]},{"cell_type":"markdown","metadata":{},"source":["## 厳密解とその大変さ\n\n単純に考えれば、「ああああ」から「うううう」までの全通りの確率を求めて、その値が一番大きな文字列を探し出せば良い。\n\n今回の例ではたかだか $3^4$通り程度なのでどうという事は無いが、現実的な例、例えば単語数が10万くらいで50単語くらいの文を作ろうと思えば非現実的な数字になる事は分かる。\n\n感覚的には、一文字ごとにレベルが増える確率テーブルのツリーみたいなのが出来て、この経路のテーブルのセルをかけ合わせた物が求めたい同時確率となる。"]},{"cell_type":"code","execution_count":1,"metadata":{"collapsed":false},"outputs":[{"data":{"image/jpeg":"/9j/4QC8RXhpZgAATU0AKgAAAAgABgEaAAUAAAABAAAAVgEbAAUAAAABAAAAXgEoAAMAAAABAAIA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\noAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAP/9k=\n","text/plain":["<IPython.core.display.Image object>"]},"execution_count":1,"metadata":{},"output_type":"execute_result"}],"source":["MeatPieImage()"]},{"cell_type":"markdown","metadata":{},"source":["## Beam Searchは、各段階で確率が高い幾つかの例だけを見ていく\n\n厳密にやるのは大変なので、各段階で、上位2つとかの確率が高い所だけを見ていくのがBeam Search。\n"]},{"cell_type":"code","execution_count":1,"metadata":{"collapsed":false},"outputs":[{"data":{"image/jpeg":"/9j/4QC8RXhpZgAATU0AKgAAAAgABgEaAAUAAAABAAAAVgEbAAUAAAABAAAAXgEoAAMAAAABAAIA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\nACiiigAooooAKKKKACiiigAooooA/9k=\n","text/plain":["<IPython.core.display.Image object>"]},"execution_count":1,"metadata":{},"output_type":"execute_result"}],"source":["MeatPieImage()"]},{"cell_type":"markdown","metadata":{},"source":["図で、赤の線だけを見ていき、青の候補から上位2つだけを残していく。\n\n当然これでは、例えば「う」のあとに凄い確率の高い文字が続くような場合には、それは見つけられない。\n\nただ探索のコストはそこそこ低いし、そういう事はあんまり無いだろう、というのがBeam Search。"]}],"metadata":{"kernelspec":{"display_name":"Python 2","language":"python","name":"python2"},"lanbuage_info":{"codemirror_mode":{"name":"ipython","version":2},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython2","version":"2.7.11"}},"nbformat":4,"nbformat_minor":0}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment