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“Boltzmann Machineとは”
summarized by tenchou
Webサイト著者:三好 祐之
論文著者:ジェリフリー・ヒントン
url :https://lp-tech.net/articles/3vR1u
コンテンツ
I. Boltzmann Machineとは
II. 隠れBoltzmann Machine
どんなもの?
• 統計的な変動をもちいたホップフィールド・ネットワーク
• 難しい組合せに関する問題を解くことができる。
• 接続制限をもたないボルツマン・マシンは機械学習や推論のために
は実用的であるとは証明されていない。
ここがすごい!
• ボルツマン分布というのは主に統計力学の分野がでてくる!
• 「気体のエネルギー状態による分布の状態を表したもの」を応用した。
• Deep Learningの原点!
システムの全体図
ここで、x1,x2,x3,x4x1,x2,x3,x4は0か1しかとらない。
つまりONとOFFの状態しかない、「スイッチ」のようなものです。
技術や手法のキモはどこ?
と計算されます。ここで大事なのはこれらの式ではなく、
「ある値のexpをとってそれを足し合わせた値をZとして、それで割れば確率が出てくる」
ということ!
システムの全体図+技術や手法のキモはどこ?
これは、「高い自由度を持ち、隠れ変数を十分にとると任意の分布を近似できる 」
ことがしられています。
議論はある?
• 一般的にこれは学習が非常に困難。
どうしたらよいか
• するためには上のモデルにある「制約」を加える。
次に読むべき論文は?
• Deep Boltzmann Machinesという論文
• RBMのオリジナル論文が見つからなかったためRBMについて書か
れたwebサイトを見つける。

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Boltzmann machineについて