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2006年01月20日

Autolink: 前方最長一致ではなく最長キーワード優先一致を実現する

Hatena のキーワード置換アルゴリズムがTRIE ベースの手法に変更になったようです。以前に AC法でやる方法の記事を書いたのですが、それと似たことをやってるのでしょうか。

AC法のやり方は単純で、前方から最長一致でキーワードを見つけていきます。これまでは長いキーワードから順番に見つけていく方法(最長キーワード優先一致)だったそうですが、前方から見つけていく方法だと短いキーワードが優先される場合があります。

http://d.hatena.ne.jp/ita/20060119/p1
http://d.hatena.ne.jp/hatenadiary/20060119/1137667217

本文:あいうえおかきくけこさしすせそ
KW1     いう
KW2       うえおかき
KW3             かきく
KW4               きくけこさし

という文でKW1-KW4のキーワードがマッチする場合、新しくなった方法では「いう」と「かきく」が抽出される。マッチがあっても何文字か進む間保留しとくとかの方法で解決できるのかな。LZ圧縮とかも辞書にマッチするパターンを番号で置き換えるとかしてると思ったんで、標準的なアルゴリズム何かあるんじゃないかねぇ。

最長キーワード優先一致だと、「きくけこさし」と「いう」が答えになります。

さて、これを実現するにはどうしたらよいのでしょうか。ぱっと思いつく方法は、キーワードの長さをペナルティとする動的計画法(Viterbi Algorithm) です。

各キーワードは実数値の「重み」を持つものとします。「最適な」キーワード選択とは、可能なすべてのキーワード付与の方法のうち、各キーワードの重みの総和が一番大きくなるものと定義します。この重みを、キーワードの長さに対し単調増加するように設定すれば、長いキーワードが優先されるようになります。ただし、単純な単調増加ではなく、指数的に増えるようにしないといけないでしょう。

可能なすべてのキーワード付与の方法のうち、各キーワードの重みの総和が一番大きくなるものを見つけるのには、動的計画法が使えます。すべての組み合わせを列挙する必要がなく、入力文の長さで求めることができます。

形態素解析もバリバリにチューンされた重みと動的計画法に基づき最適な単語分割、品詞付与方法を求めます。拙作の MeCab もまさしくこの方法論に基づいているので、最長キーワード優先一致のキーワード抽出が実現できます。先日紹介したMeCab のみを使って AutoLink がまさしくそうです。実際には「重み」ではなく、その符号を入れ替えた「コスト」を使います。コストの総和が一番小さくなるようなキーワードの組を選択します。

辞書(CSV) 三カラム目がコスト値です。長いキーワードに小さいコスト値を与えています。
% cat dic.csv 
いう,0,0,-640,いう
うえおかき,0,0,-10000,うえおかき
かきく,0,0,-2160,かきく
きくけこさし,0,0,-17280,きくけこさし

意図したとおり長いものから見つかっています。
% mecab -d . k
あ<a href="いう">いう</a>えおか<a href="きくけこさし">きくけこさし</a>すせそ

投稿者 taku : 2006年01月20日 00:43

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http://chasen.org/~taku/blog/mt-tb.cgi/190

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