{"title":"\u7573\u307f\u8fbc\u307f (2)","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2022%2F03%2F19%2F221253\" title=\"\u7573\u307f\u8fbc\u307f (2) - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","blog_url":"https://randommemory.hatenablog.com/","published":"2022-03-19 22:12:53","height":"190","provider_name":"Hatena Blog","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","categories":["machine_learning"],"url":"https://randommemory.hatenablog.com/entry/2022/03/19/221253","author_url":"https://blog.hatena.ne.jp/derwind/","image_url":null,"type":"rich","provider_url":"https://hatena.blog","width":"100%","author_name":"derwind","version":"1.0","description":"\u7573\u307f\u8fbc\u307f\u306f\u5927\u96d1\u628a\u306b\u306f\u30ab\u30fc\u30cd\u30eb $k$\uff08\u30b5\u30a4\u30ba $2r+1$\uff09\u3068\u5165\u529b\u95a2\u6570 $f$ \u306b\u5bfe\u3057\u3066$$ \\begin{align*} (k * f)(x) = \\int_{|y-x| \\leq r} \\!\\!\\!\\!\\!\\!\\!\\!\\! k(x-y) f(y) dy \\end{align*} $$\u3068\u5b9a\u7fa9\u3055\u308c\u308b\u306e\u3067\u3042\u3063\u305f\u3002\u3053\u3053\u3067\u30c7\u30eb\u30bf\u95a2\u6570 $\\delta$ \u3092\u30ab\u30fc\u30cd\u30eb\u3068\u3059\u308b\u3068$$ \\begin{align*} (\\delta * f)(x) = \\int \\delta(x-y) f(y) dy = f(x) \\end{align*} $$\u3068\u306a\u308a\u518d\u751f\u6027\u304c\u5f97\u3089\u308c\u308b\u3002 \u3053\u308c\u3068\u540c\u69d8\u306b\u3001\u96e2\u6563\u7684\u306a\u30c7\u30eb\u30bf\u95a2\u6570\u3068\u3067\u3082\u547c\u3079\u2026"}