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2005年10月02日

タグとマルチラベル問題と機械学習

ネット上のサービスを見ていると、メールなりWebページをある一意のカテゴリに分類するという整理法から、タグ(ラベル)をつけるという整理法に変わってきているようです。

代表的な例は Gmail。フォルダという概念はなくメールにラベルを付与していきます。私が良く使う方法は、「リマインダー」のラベル(メールの重要さという観点)と「内容」のラベルです。二つはそれぞれ独立した分類方法ですが、フォルダだと同居できません。他の例だと「はてなブックマーク」があります。ユーザが任意のタグを付与することができます。

機械学習の言葉を使えば、従来のフォルダは「シングルラベル」の分類問題、後者のタグは「マルチラベル」分類問題となります。文字どおり、前者はインスタンスに対し1つのラベルのみを付与する問題、後者は複数のラベルを付与する問題です。

さて、機械学習の分野でマルチラベル問題はどう進展してるのでしょうか?実際のところ、ほとんどすべての機械学習アルゴリズムはシングルラベルのために設計されています。その理由としてシングルラベルのアルゴリズムを使ってマルチラベルの問題を解くことは可能であるという背景があります。二値分類のアルゴリズム(たとえばSVM)を使い、あるインスタンスにラベルAを付与すべきかどうかを推定できます。この方法だと、ラベルの種類が100種類あると100個の分類器を作る必要があります。

これはこれでうまくいくのですが、付け焼刃技術であるのは否めません。一方、はじめからマルチラベル問題をターゲットとしているアルゴリズムも少なからず存在するようです。私の知る限りでは、以下の二つです。

- PMM
Naive Bayse の拡張。SPAM分類でよく使われるベイジアンフィルタの拡張。
生成モデル。実装は比較的楽。良くも悪くも Naive Bayse なので、その性質を受け継ぐ。
解説記事
NIPS のオリジナルペーパー

- SVM
二値分類 SVM の拡張。もしくは、構造学習 SVM の special case。PMM の影響を受けている。識別モデル
NIPS のオリジナルペーパー

PMM はこの問題に着目した初めての手法だと思います。解説記事によると、私が思うところの整理方法としてのタグ付与というよりは、既存の新聞やYahooカテゴリが一部マルチラベルになっているという観察が出発点になっているようです。近年マルチラベルのデータがたくさん入手できるようになっています。いろんなデータを使って実験、評価しやすくなりました。今のネットの整理方法とマルチラベル機械アルゴリズムという二つの観点から新しい仕事なり応用を考えてみるのも面白いでしょう。もちろん、新しい手法の出現も期待できます。

個人的には、もっと Lite weight な 識別モデルを作ってみたいです。

投稿者 taku : 2005年10月02日 13:51

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このエントリーのトラックバックURL:
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コメント

両者の中間的なものとして,有限のラベル集合があるとき,対象xを分類するのに,それにふさわしいラベルからそうでないものへ並べた順列を教師信号とした学習事例が与えられます.xに対して適切なラベルからそうでないものへラベルを順序付けする関数を学習するという,シングルラベルとマルチラベルの中間的な問題とかもあります.

K. Brinker. Active Learning of Label Ranking Functions. In Proc. of The 21st Int'l Conf. on Machine Learning, pp. 129–136, 2004.

ご存じでしたらすみません.

投稿者 しましま : 2005年10月02日 23:15

PMMは日本語でフルペーパーも書かれています.
上田 修功, 斉藤 和巳. 多重トピックテキストの確率モデル — パラメトリック混合モデル —. 電子情報通信
学会論文誌 D-II, Vol. J87-D-II, No. 3, pp. 872–883, 2004.

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