{"action":"created","comment":{"url":"https://api.github.com/repos/sotetsuk/algo-rl-ja/pulls/comments/76041502","id":76041502,"diff_hunk":"@@ -2,108 +2,111 @@\n \\subsubsection{関数空間の選択}\n \\label{sec:funspace}\n %In order to be able to discuss the choice of the function space in a meaningful manner,  we need to define how the quality of an approximate value function is measured.\n-関数空間の選択における議論を有意義に進めるために，近似価値関数の性能をどのように測るかを予め決めておく必要がある．\n+関数空間の選択について有意義な議論をしていくには，近似価値関数の性能をどのように測るかを予め決めておく必要がある．\n %When  the ultimate goal is value-prediction, a reasonable choice is to use the mean-squared error (MSE) with respect to an appropriate distribution over the states (say, $\\dstat$).\n-最終的な目的が価値予測のときは，状態（$\\dstat$とする）の適切な分布に関する平均二乗誤差(MSE)を用いることが合理的な選択だろう．\n+最終的な目的が価値予測のときは，状態（$\\dstat$とする）空間上に適切な分布を構築し，それに基づいた平均二乗誤差(MSE)を用いることが合理的だろう．\n %The choice of a metric is less clear when the goal is to learn a good controller and value estimation is only used as a subroutine of a more complex algorithm (such as the ones that will be reviewed in Section~\\ref{sec:control}).\n-目的が良いコントローラの学習であるときや価値推定（そのような状況は第\\ref{sec:control}節で詳しく扱う）が複雑なアルゴリズムの一部でのみ用いられているときには，指標の選択はより難しくなる．\n+だが，目的が制御器の学習で，価値推定が複雑なアルゴリズムの一部でしかない場合は，計量の選択の基準は曖昧にならざるをえない（具体的な例は\\ref{sec:control}で後述）．\n %Therefore, in lack of a good understanding of this case, for the purpose of this section, we will stick to the MSE as the quality-measure.\n-したがって，この様な場合については理解が不足しているので，この節の目的としては，MSEを性能指標とした場合に留めておく．\n+後者のケースについてはさらなる事前知識を必要とするためこのケースについての議論は後回しにし，とりあえずこの節ではMSEを性能指標とした議論をしていきたい．\n %However, we believe that most of the conclusions of this section would hold for other measures, too.\n-しかしながら，この節の結論のうちの大部分は他の指標においても有用であると信じている．\n+とはいえ，この節の結果の大部分は他の指標においても有用であると確信している．\n \n %Learning can be viewed as the process of selecting some function from some space  of functions ($\\FF$) that can be represented (finitely) in the computer's memory.\n-学習とは，コンピュータのメモリ上で（有限に）表現されうる関数の集合（$\\FF$）の中からある関数を選択する作業と解釈することができる．\\transtodo{以降の説明より原文はsome functionsの間違いなのではないか？}\n+学習とは，コンピュータのメモリ上で（有限に）表現出来る関数の空間（$\\FF$）から適切な関数を選択する作業と解釈することができる．\\transtodo{以降の説明より原文はsome functionsの間違いなのではないか？}\n \\myfootnote{\n %We do not deal with issues of precision, i.e., that computers cannot really represent real numbers.\n-精度の問題については扱わない，つまり，コンピュータは正しくは実数を表現することができない．\n+精度の問題，特に計算機が実数を正確に表現することが出来ない問題については無視することにしよう．\n \\transtodo{footnote訳し忘れ}\n }\n %For simplicity, assume that the functions available are described by $d$ parameters: $\\FF = \\{ V_\\theta\\,|\\, \\theta\\in \\real^d \\}$.\n-簡単のため，関数は$d$個のパラメータで表現できると仮定する: $\\FF = \\{ V_\\theta\\,|\\, \\theta\\in \\real^d \\}$．\n+さらに簡単のため，我々の扱う関数空間は$d$個のパラメータでパラメトライズされていると仮定しよう: $\\FF = \\{ V_\\theta\\,|\\, \\theta\\in \\real^d \\}$．\n %One measure that characterizes the choice of $\\FF$ is how well functions from $\\FF$ can approximate the target function $V$, leading to the definition of the {\\em approximation error} underlying $\\FF$:\n-$\\FF$の選択を特徴づけるひとつの指標は，目標の関数$V$を$\\FF$（\\transtodo{関数を明示的に単数と複数で分けたい場合の日本語がわからないです。。。}）どの程度うまく近似できるかということである．$\\FF$による{\\em 近似誤差}の定義を次のように導く:\n+$\\FF$の選択を決定するひとつの指標として，$\\FF$の関数が目標の関数$V$をどれだけうまく近似できるか，というものがある．\n+これを具現化した{\\em 近似誤差}の定義は以下のように与えられる．\n \\[\n \\inf_{V_\\theta\\in \\FF}\\|V_\\theta - V\\|_\\dstat.\n \\]\n %To decrease the approximation error, one is encouraged to choose a larger function space (i.e., when $V_\\theta$ is linear we may add independent features to make $\\FF$ larger).\n-近似誤差を減少させるためには，より大きい関数空間を選択した方が良い．（つまり，$V_\\theta$が線形の場合であれば，$\\FF$を拡張するために独立な特徴量を追加してもよい．）\n+近似誤差を減少させるためには，関数空間は大きければ大きいほどよい．（$V_\\theta$が線形の場合であれば，新たに独立な特徴量を追加するだけで関数空間の拡張は行える．）\n %However, as we will argue now, since learning by definition uses incomplete information, increasing the size of the function space is a double-edged sword.\n-しかし，以降の議論では，定義より学習には不完全な情報を用いるため，関数空間の大きさを拡大することは諸刃の剣である．\n-\n+しかし，これからの議論で見えてくるように，「学習」は定義の時点から情報が不完全であることを仮定しているので，むやみに関数空間を拡大することは\n+諸刃の剣である．\n %For simplicity, let us consider linear function approximation, and assume that LSTD, as specified by \\eqref{eq:lstdfixedpoint}, is used to obtain the parameters.\n-簡単のため，線形関数近似について考え，(28)式で定義されたLSTDをパラメータを得るために用いるとする．\n+簡単のため，線形関数近似の話に絞り，パラメータを得るために(28)式で定義されたLSTDを用いるケースを考えたい．","path":"tex/324_the_choice_of_the_function_space.tex","position":46,"original_position":48,"commit_id":"79a0e6ab081dae9b3d9b36298468bdadfac5c566","original_commit_id":"79a0e6ab081dae9b3d9b36298468bdadfac5c566","user":{"login":"sotetsuk","id":5868442,"avatar_url":"https://avatars.githubusercontent.com/u/5868442?v=3","gravatar_id":"","url":"https://api.github.com/users/sotetsuk","html_url":"https://github.com/sotetsuk","followers_url":"https://api.github.com/users/sotetsuk/followers","following_url":"https://api.github.com/users/sotetsuk/following{/other_user}","gists_url":"https://api.github.com/users/sotetsuk/gists{/gist_id}","starred_url":"https://api.github.com/users/sotetsuk/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/sotetsuk/subscriptions","organizations_url":"https://api.github.com/users/sotetsuk/orgs","repos_url":"https://api.github.com/users/sotetsuk/repos","events_url":"https://api.github.com/users/sotetsuk/events{/privacy}","received_events_url":"https://api.github.com/users/sotetsuk/received_events","type":"User","site_admin":false},"body":"式(28) => ef","created_at":"2016-08-24T11:46:32Z","updated_at":"2016-08-24T11:46:32Z","html_url":"https://github.com/sotetsuk/algo-rl-ja/pull/169#discussion_r76041502","pull_request_url":"https://api.github.com/repos/sotetsuk/algo-rl-ja/pulls/169","_links":{"self":{"href":"https://api.github.com/repos/sotetsuk/algo-rl-ja/pulls/comments/76041502"},"html":{"href":"https://github.com/sotetsuk/algo-rl-ja/pull/169#discussion_r76041502"},"pull_request":{"href":"https://api.github.com/repos/sotetsuk/algo-rl-ja/pulls/169"}}},"pull_request":{"url":"https://api.github.com/repos/sotetsuk/algo-rl-ja/pulls/169","id":81057220,"html_url":"https://github.com/sotetsuk/algo-rl-ja/pull/169","diff_url":"https://github.com/sotetsuk/algo-rl-ja/pull/169.diff","patch_url":"https://github.com/sotetsuk/algo-rl-ja/pull/169.patch","issue_url":"https://api.github.com/repos/sotetsuk/algo-rl-ja/issues/169","number":169,"state":"open","locked":false,"title":"p40-p45: masoによる校正","user":{"login":"sotetsuk","id":5868442,"avatar_url":"https://avatars.githubusercontent.com/u/5868442?v=3","gravatar_id":"","url":"https://api.github.com/users/sotetsuk","html_url":"https://github.com/sotetsuk","followers_url":"https://api.github.com/users/sotetsuk/followers","following_url":"https://api.github.com/users/sotetsuk/following{/other_user}","gists_url":"https://api.github.com/users/sotetsuk/gists{/gist_id}","starred_url":"https://api.github.com/users/sotetsuk/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/sotetsuk/subscriptions","organizations_url":"https://api.github.com/users/sotetsuk/orgs","repos_url":"https://api.github.com/users/sotetsuk/repos","events_url":"https://api.github.com/users/sotetsuk/events{/privacy}","received_events_url":"https://api.github.com/users/sotetsuk/received_events","type":"User","site_admin":false},"body":"# 締切\r\n8/24 （勉強会当日）\r\n\r\n# Build\r\npushから数分立つと自動でコンパイルされたPDFがこちらに反映されます: \r\nhttps://sotets.uk/algo-rl-ja/p40-p45-review-by-maso.pdf\r\n\r\nコンパイルの完了はslackの#rl-trans-notificationチャネルで通知を受け取れます。\r\nログはページ下部の ```continuous-integration/travis-ci/push``` からdetailをクリックするとログが確認できます。\r\nまたdockerが入っていればローカルでも ```./build``` でコンパイルできます。\r\n\r\n# How to 修正\r\n下記リンクに直接書き込んでコミットする。そのときコミットのタイトルはなるべくわかりやすく、コミットのメッセージは **なぜその変更をしたか** を明示してください。\r\n\r\n- [tex/323_least_squares_methods.tex](https://github.com/sotetsuk/algo-rl-ja/blob/p40-p45-review-by-maso/tex/323_least_squares_methods.tex)\r\n- [tex/324_the_choice_of_the_function_space.tex](https://github.com/sotetsuk/algo-rl-ja/blob/p40-p45-review-by-maso/tex/324_the_choice_of_the_function_space.tex)\r\n\r\n## 訳注コマンドと訳TODOコマンド\r\n必要があれば訳注を次のように入れて下さい: \r\n\r\n> ...である．\\transfootenote{これはこうこうこういう意味である。} // => 自動で 「訳注: 」が文頭につく。\r\n\r\n\\transfootnoteはコンパイルされると、「訳注: ...」というfootnoteがpdfに反映されます。\r\n基本的には @masomatics @maeyon だけが使うものとして用意しました。\r\n\r\n> また、訳に迷ったりしてあとで修正したいと思ったら、 ```\\transtodo``` コマンドを使ってください: \r\n\r\n...である．\\transtodo{この数式はタイポしている気がしたので修正した。}\r\n\r\n\\transtodoは、コンパイルしてもpdfに反映されせん。気軽に使って下さい。\r\n\r\n# 進め方\r\n1. @masomaticsが変更をコミットする\r\n2. @sotetsukが気になった点についてプルリクを出し、@masomaticsがそれを処理する（マージ or リジェクト or 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