{"id":479160,"date":"2023-08-09T10:31:59","date_gmt":"2023-08-09T10:31:59","guid":{"rendered":""},"modified":"2023-09-05T11:18:19","modified_gmt":"2023-09-05T11:18:19","slug":"stochastic-gradient-descent","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/jp\/wiki\/stochastic-gradient-descent\/","title":{"rendered":"\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5"},"content":{"rendered":"<p>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5 (SGD) \u306f\u3001\u6a5f\u68b0\u5b66\u7fd2\u3084\u30c7\u30a3\u30fc\u30d7\u30e9\u30fc\u30cb\u30f3\u30b0\u3067\u5e83\u304f\u4f7f\u7528\u3055\u308c\u3066\u3044\u308b\u4eba\u6c17\u306e\u6700\u9069\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002\u753b\u50cf\u8a8d\u8b58\u3001\u81ea\u7136\u8a00\u8a9e\u51e6\u7406\u3001\u63a8\u5968\u30b7\u30b9\u30c6\u30e0\u306a\u3069\u3001\u3055\u307e\u3056\u307e\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u30e2\u30c7\u30eb\u306e\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u3067\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002SGD \u306f\u52fe\u914d\u964d\u4e0b\u6cd5\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u62e1\u5f35\u3067\u3042\u308a\u3001\u30df\u30cb\u30d0\u30c3\u30c1\u3068\u547c\u3070\u308c\u308b\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0 \u30c7\u30fc\u30bf\u306e\u5c0f\u3055\u306a\u30b5\u30d6\u30bb\u30c3\u30c8\u306b\u57fa\u3065\u3044\u3066\u30e2\u30c7\u30eb\u306e\u6700\u9069\u306a\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u7e70\u308a\u8fd4\u3057\u66f4\u65b0\u3059\u308b\u3053\u3068\u3067\u3001\u30e2\u30c7\u30eb\u306e\u6700\u9069\u306a\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u52b9\u7387\u7684\u306b\u898b\u3064\u3051\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306e\u8d77\u6e90\u3068\u305d\u306e\u6700\u521d\u306e\u8a00\u53ca\u306e\u6b74\u53f2<\/h2>\n<p>\u78ba\u7387\u7684\u6700\u9069\u5316\u306e\u6982\u5ff5\u306f\u3001\u7814\u7a76\u8005\u304c\u3055\u307e\u3056\u307e\u306a\u6700\u9069\u5316\u624b\u6cd5\u3092\u7814\u7a76\u3057\u3066\u3044\u305f 1950 \u5e74\u4ee3\u521d\u982d\u306b\u307e\u3067\u9061\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u6a5f\u68b0\u5b66\u7fd2\u306e\u6587\u8108\u3067\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u304c\u521d\u3081\u3066\u8a00\u53ca\u3055\u308c\u305f\u306e\u306f 1960 \u5e74\u4ee3\u306b\u9061\u308a\u307e\u3059\u3002\u3053\u306e\u30a2\u30a4\u30c7\u30a2\u306f\u3001\u30cb\u30e5\u30fc\u30e9\u30eb \u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3084\u305d\u306e\u4ed6\u306e\u8907\u96d1\u306a\u30e2\u30c7\u30eb\u306e\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u306b\u52b9\u679c\u7684\u3067\u3042\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u30011980 \u5e74\u4ee3\u3068 1990 \u5e74\u4ee3\u306b\u4eba\u6c17\u3092\u535a\u3057\u307e\u3057\u305f\u3002<\/p>\n<h2>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306e\u8a73\u7d30\u60c5\u5831<\/h2>\n<p>SGD \u306f\u3001\u30e2\u30c7\u30eb\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u8abf\u6574\u3059\u308b\u3053\u3068\u3067\u640d\u5931\u95a2\u6570\u3092\u6700\u5c0f\u5316\u3059\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u305f\u53cd\u5fa9\u6700\u9069\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0 \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5168\u4f53\u3092\u4f7f\u7528\u3057\u3066\u52fe\u914d\u3092\u8a08\u7b97\u3059\u308b\u5f93\u6765\u306e\u52fe\u914d\u964d\u4e0b\u6cd5 (\u30d0\u30c3\u30c1\u52fe\u914d\u964d\u4e0b\u6cd5) \u3068\u306f\u7570\u306a\u308a\u3001SGD \u306f\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306e\u30df\u30cb\u30d0\u30c3\u30c1\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u3001\u3053\u306e\u30df\u30cb\u30d0\u30c3\u30c1\u3067\u8a08\u7b97\u3055\u308c\u305f\u640d\u5931\u95a2\u6570\u306e\u52fe\u914d\u306b\u57fa\u3065\u3044\u3066\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u66f4\u65b0\u3057\u307e\u3059\u3002<\/p>\n<p>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u542b\u307e\u308c\u308b\u4e3b\u306a\u624b\u9806\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<ol>\n<li>\u30e2\u30c7\u30eb\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u521d\u671f\u5316\u3057\u307e\u3059\u3002<\/li>\n<li>\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0 \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u30b7\u30e3\u30c3\u30d5\u30eb\u3057\u307e\u3059\u3002<\/li>\n<li>\u30c7\u30fc\u30bf\u3092\u30df\u30cb\u30d0\u30c3\u30c1\u306b\u5206\u5272\u3057\u307e\u3059\u3002<\/li>\n<li>\u5404\u30df\u30cb\u30d0\u30c3\u30c1\u306b\u3064\u3044\u3066\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u306b\u5bfe\u3059\u308b\u640d\u5931\u95a2\u6570\u306e\u52fe\u914d\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/li>\n<li>\u8a08\u7b97\u3055\u308c\u305f\u52fe\u914d\u3068\u5b66\u7fd2\u7387\u3092\u4f7f\u7528\u3057\u3066\u30e2\u30c7\u30eb \u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u66f4\u65b0\u3057\u307e\u3059\u3002\u5b66\u7fd2\u7387\u306f\u66f4\u65b0\u306e\u30b9\u30c6\u30c3\u30d7 \u30b5\u30a4\u30ba\u3092\u5236\u5fa1\u3057\u307e\u3059\u3002<\/li>\n<li>\u4e00\u5b9a\u56de\u6570\u306e\u53cd\u5fa9\u3001\u307e\u305f\u306f\u53ce\u675f\u57fa\u6e96\u304c\u6e80\u305f\u3055\u308c\u308b\u307e\u3067\u3001\u3053\u306e\u30d7\u30ed\u30bb\u30b9\u3092\u7e70\u308a\u8fd4\u3057\u307e\u3059\u3002<\/li>\n<\/ol>\n<h2>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306e\u5185\u90e8\u69cb\u9020 - SGD \u306e\u4ed5\u7d44\u307f<\/h2>\n<p>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306e\u80cc\u5f8c\u306b\u3042\u308b\u4e3b\u306a\u30a2\u30a4\u30c7\u30a2\u306f\u3001\u30df\u30cb\u30d0\u30c3\u30c1\u3092\u4f7f\u7528\u3057\u3066\u30d1\u30e9\u30e1\u30fc\u30bf\u66f4\u65b0\u306b\u30e9\u30f3\u30c0\u30e0\u6027\u3092\u5c0e\u5165\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u30e9\u30f3\u30c0\u30e0\u6027\u306b\u3088\u308a\u3001\u591a\u304f\u306e\u5834\u5408\u3001\u53ce\u675f\u304c\u901f\u304f\u306a\u308a\u3001\u6700\u9069\u5316\u4e2d\u306b\u5c40\u6240\u6700\u5c0f\u5024\u304b\u3089\u629c\u3051\u51fa\u3059\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u30e9\u30f3\u30c0\u30e0\u6027\u306b\u3088\u308a\u3001\u6700\u9069\u5316\u30d7\u30ed\u30bb\u30b9\u304c\u6700\u9069\u89e3\u306e\u5468\u308a\u3067\u632f\u52d5\u3059\u308b\u53ef\u80fd\u6027\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>SGD \u306f\u3001\u5404\u53cd\u5fa9\u3067\u30c7\u30fc\u30bf\u306e\u5c0f\u3055\u306a\u30b5\u30d6\u30bb\u30c3\u30c8\u306e\u307f\u3092\u51e6\u7406\u3059\u308b\u305f\u3081\u3001\u7279\u306b\u5927\u898f\u6a21\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5834\u5408\u3001\u8a08\u7b97\u52b9\u7387\u304c\u512a\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u7279\u6027\u306b\u3088\u308a\u3001\u30e1\u30e2\u30ea\u306b\u5b8c\u5168\u306b\u53ce\u307e\u3089\u306a\u3044\u53ef\u80fd\u6027\u306e\u3042\u308b\u5927\u898f\u6a21\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u51e6\u7406\u3067\u304d\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u30df\u30cb\u30d0\u30c3\u30c1 \u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u3088\u3063\u3066\u5c0e\u5165\u3055\u308c\u308b\u30ce\u30a4\u30ba\u306b\u3088\u308a\u3001\u6700\u9069\u5316\u30d7\u30ed\u30bb\u30b9\u304c\u30ce\u30a4\u30ba\u3092\u591a\u304f\u767a\u751f\u3057\u3001\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u4e2d\u306b\u640d\u5931\u95a2\u6570\u304c\u5909\u52d5\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u308c\u3092\u514b\u670d\u3059\u308b\u305f\u3081\u306b\u3001\u6b21\u306e\u3088\u3046\u306a SGD \u306e\u3044\u304f\u3064\u304b\u306e\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong>\u30df\u30cb\u30d0\u30c3\u30c1\u52fe\u914d\u964d\u4e0b\u6cd5<\/strong>: \u5404\u53cd\u5fa9\u3067\u5c0f\u3055\u306a\u56fa\u5b9a\u30b5\u30a4\u30ba\u306e\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8 \u30d0\u30c3\u30c1\u3092\u4f7f\u7528\u3057\u3001\u30d0\u30c3\u30c1\u52fe\u914d\u964d\u4e0b\u6cd5\u306e\u5b89\u5b9a\u6027\u3068 SGD \u306e\u8a08\u7b97\u52b9\u7387\u306e\u30d0\u30e9\u30f3\u30b9\u3092\u3068\u308a\u307e\u3059\u3002<\/li>\n<li><strong>\u30aa\u30f3\u30e9\u30a4\u30f3\u52fe\u914d\u964d\u4e0b\u6cd5<\/strong>: \u4e00\u5ea6\u306b 1 \u3064\u306e\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u3092\u51e6\u7406\u3057\u3001\u5404\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306e\u5f8c\u306b\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u66f4\u65b0\u3057\u307e\u3059\u3002\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u975e\u5e38\u306b\u4e0d\u5b89\u5b9a\u306b\u306a\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u30b9\u30c8\u30ea\u30fc\u30df\u30f3\u30b0 \u30c7\u30fc\u30bf\u3092\u51e6\u7406\u3059\u308b\u5834\u5408\u306b\u4fbf\u5229\u3067\u3059\u3002<\/li>\n<\/ul>\n<h2>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306e\u4e3b\u306a\u7279\u5fb4\u306e\u5206\u6790<\/h2>\n<p>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306e\u4e3b\u306a\u7279\u5fb4\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<ol>\n<li><strong>\u52b9\u7387<\/strong>: SGD \u306f\u5404\u53cd\u5fa9\u3067\u30c7\u30fc\u30bf\u306e\u5c0f\u3055\u306a\u30b5\u30d6\u30bb\u30c3\u30c8\u306e\u307f\u3092\u51e6\u7406\u3059\u308b\u305f\u3081\u3001\u7279\u306b\u5927\u898f\u6a21\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5834\u5408\u3001\u8a08\u7b97\u52b9\u7387\u304c\u5411\u4e0a\u3057\u307e\u3059\u3002<\/li>\n<li><strong>\u30e1\u30e2\u30ea\u306e\u30b9\u30b1\u30fc\u30e9\u30d3\u30ea\u30c6\u30a3<\/strong>: SGD \u306f\u30df\u30cb\u30d0\u30c3\u30c1\u3067\u52d5\u4f5c\u3059\u308b\u305f\u3081\u3001\u30e1\u30e2\u30ea\u306b\u5b8c\u5168\u306b\u53ce\u307e\u3089\u306a\u3044\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u51e6\u7406\u3067\u304d\u307e\u3059\u3002<\/li>\n<li><strong>\u30e9\u30f3\u30c0\u30e0\u6027<\/strong>: SGD \u306e\u78ba\u7387\u7684\u306a\u6027\u8cea\u306f\u3001\u5c40\u6240\u7684\u6700\u5c0f\u5024\u304b\u3089\u8131\u51fa\u3057\u3001\u6700\u9069\u5316\u4e2d\u306b\u30d7\u30e9\u30c8\u30fc\u306b\u9665\u308b\u306e\u3092\u56de\u907f\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/li>\n<li><strong>\u30ce\u30a4\u30ba<\/strong>: \u30df\u30cb\u30d0\u30c3\u30c1 \u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u3088\u3063\u3066\u5c0e\u5165\u3055\u308c\u308b\u30e9\u30f3\u30c0\u30e0\u6027\u306b\u3088\u308a\u3001\u640d\u5931\u95a2\u6570\u306b\u5909\u52d5\u304c\u751f\u3058\u3001\u6700\u9069\u5316\u30d7\u30ed\u30bb\u30b9\u306b\u30ce\u30a4\u30ba\u304c\u767a\u751f\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/li>\n<\/ol>\n<h2>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306e\u7a2e\u985e<\/h2>\n<p>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306b\u306f\u3044\u304f\u3064\u304b\u306e\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3\u304c\u3042\u308a\u3001\u305d\u308c\u305e\u308c\u306b\u7279\u5fb4\u304c\u3042\u308a\u307e\u3059\u3002\u4e00\u822c\u7684\u306a\u30bf\u30a4\u30d7\u3092\u3044\u304f\u3064\u304b\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n<table>\n<thead>\n<tr>\n<th>\u30bf\u30a4\u30d7<\/th>\n<th>\u8aac\u660e<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u30df\u30cb\u30d0\u30c3\u30c1\u52fe\u914d\u964d\u4e0b\u6cd5<\/td>\n<td>\u5404\u53cd\u5fa9\u3067\u3001\u5c0f\u3055\u306a\u56fa\u5b9a\u30b5\u30a4\u30ba\u306e\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8 \u30d0\u30c3\u30c1\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u30aa\u30f3\u30e9\u30a4\u30f3\u52fe\u914d\u964d\u4e0b\u6cd5<\/td>\n<td>\u4e00\u5ea6\u306b 1 \u3064\u306e\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u3092\u51e6\u7406\u3057\u3001\u5404\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306e\u5f8c\u306b\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u66f4\u65b0\u3057\u307e\u3059\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u30e2\u30e1\u30f3\u30bf\u30e0SGD<\/td>\n<td>\u6700\u9069\u5316\u30d7\u30ed\u30bb\u30b9\u3092\u30b9\u30e0\u30fc\u30ba\u306b\u3057\u3001\u53ce\u675f\u3092\u52a0\u901f\u3059\u308b\u305f\u3081\u306b\u52e2\u3044\u3092\u7d44\u307f\u8fbc\u307f\u307e\u3059\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u30cd\u30b9\u30c6\u30ed\u30d5\u52a0\u901f\u52fe\u914d\u6cd5 (NAG)<\/td>\n<td>\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3092\u5411\u4e0a\u3055\u305b\u308b\u305f\u3081\u306b\u66f4\u65b0\u65b9\u5411\u3092\u8abf\u6574\u3059\u308b\u3001Momentum SGD \u306e\u62e1\u5f35\u6a5f\u80fd\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u30a2\u30c0\u30b0\u30e9\u30fc\u30c9<\/td>\n<td>\u5c65\u6b74\u52fe\u914d\u306b\u57fa\u3065\u3044\u3066\u5404\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u5b66\u7fd2\u7387\u3092\u8abf\u6574\u3057\u307e\u3059\u3002<\/td>\n<\/tr>\n<tr>\n<td>RMS\u30d7\u30ed\u30c3\u30d7<\/td>\n<td>Adagrad \u306b\u4f3c\u3066\u3044\u307e\u3059\u304c\u3001\u5b66\u7fd2\u7387\u3092\u9069\u5fdc\u3055\u305b\u308b\u305f\u3081\u306b\u4e8c\u4e57\u52fe\u914d\u306e\u79fb\u52d5\u5e73\u5747\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u30a2\u30c0\u30e0<\/td>\n<td>\u904b\u52d5\u91cf\u3068 RMSprop \u306e\u5229\u70b9\u3092\u7d44\u307f\u5408\u308f\u305b\u3066\u3001\u3088\u308a\u9ad8\u901f\u306a\u53ce\u675f\u3092\u5b9f\u73fe\u3057\u307e\u3059\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306e\u4f7f\u3044\u65b9\u3001\u4f7f\u7528\u306b\u95a2\u9023\u3059\u308b\u554f\u984c\u3068\u305d\u306e\u89e3\u6c7a\u7b56<\/h2>\n<p>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u6a5f\u68b0\u5b66\u7fd2\u30bf\u30b9\u30af\u3001\u7279\u306b\u30c7\u30a3\u30fc\u30d7 \u30cb\u30e5\u30fc\u30e9\u30eb \u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u3067\u5e83\u304f\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u305d\u306e\u52b9\u7387\u6027\u3068\u5927\u898f\u6a21\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u51e6\u7406\u3067\u304d\u308b\u80fd\u529b\u306b\u3088\u308a\u3001\u6570\u591a\u304f\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u6210\u529f\u3092\u53ce\u3081\u3066\u3044\u307e\u3059\u3002\u305f\u3060\u3057\u3001SGD \u3092\u52b9\u679c\u7684\u306b\u4f7f\u7528\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u8ab2\u984c\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ol>\n<li>\n<p><strong>\u5b66\u7fd2\u7387\u306e\u9078\u629e<\/strong>: SGD \u306e\u53ce\u675f\u306b\u306f\u3001\u9069\u5207\u306a\u5b66\u7fd2\u7387\u3092\u9078\u629e\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002\u5b66\u7fd2\u7387\u304c\u9ad8\u3059\u304e\u308b\u3068\u6700\u9069\u5316\u30d7\u30ed\u30bb\u30b9\u304c\u767a\u6563\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u3001\u5b66\u7fd2\u7387\u304c\u4f4e\u3059\u304e\u308b\u3068\u53ce\u675f\u304c\u9045\u304f\u306a\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u5b66\u7fd2\u7387\u306e\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u307e\u305f\u306f\u9069\u5fdc\u5b66\u7fd2\u7387\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u3001\u3053\u306e\u554f\u984c\u3092\u8efd\u6e1b\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30ce\u30a4\u30ba\u3068\u5909\u52d5<\/strong>: SGD \u306e\u78ba\u7387\u7684\u306a\u6027\u8cea\u306b\u3088\u308a\u30ce\u30a4\u30ba\u304c\u767a\u751f\u3057\u3001\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u4e2d\u306b\u640d\u5931\u95a2\u6570\u306b\u5909\u52d5\u304c\u751f\u3058\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u6700\u9069\u5316\u30d7\u30ed\u30bb\u30b9\u304c\u5b9f\u969b\u306b\u53ce\u675f\u3057\u3066\u3044\u308b\u306e\u304b\u3001\u305d\u308c\u3068\u3082\u6700\u9069\u3067\u306f\u306a\u3044\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u3067\u6b62\u307e\u3063\u3066\u3044\u308b\u306e\u304b\u3092\u5224\u65ad\u3059\u308b\u3053\u3068\u304c\u56f0\u96e3\u306b\u306a\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u5bfe\u51e6\u3059\u308b\u305f\u3081\u306b\u3001\u7814\u7a76\u8005\u306f\u591a\u304f\u306e\u5834\u5408\u3001\u640d\u5931\u95a2\u6570\u3092\u8907\u6570\u56de\u5b9f\u884c\u3057\u3066\u76e3\u8996\u3057\u305f\u308a\u3001\u691c\u8a3c\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u306b\u57fa\u3065\u3044\u3066\u65e9\u671f\u505c\u6b62\u3092\u4f7f\u7528\u3057\u305f\u308a\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u6d88\u5931\u30b0\u30e9\u30c7\u30fc\u30b7\u30e7\u30f3\u3068\u7206\u767a\u30b0\u30e9\u30c7\u30fc\u30b7\u30e7\u30f3<\/strong>: \u30c7\u30a3\u30fc\u30d7 \u30cb\u30e5\u30fc\u30e9\u30eb \u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3067\u306f\u3001\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u4e2d\u306b\u52fe\u914d\u304c\u6975\u3081\u3066\u5c0f\u3055\u304f\u306a\u3063\u305f\u308a\u3001\u7206\u767a\u7684\u306b\u5897\u52a0\u3057\u305f\u308a\u3057\u3066\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306e\u66f4\u65b0\u306b\u5f71\u97ff\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u52fe\u914d\u30af\u30ea\u30c3\u30d4\u30f3\u30b0\u3084\u30d0\u30c3\u30c1\u6b63\u898f\u5316\u306a\u3069\u306e\u624b\u6cd5\u306f\u3001\u6700\u9069\u5316\u30d7\u30ed\u30bb\u30b9\u3092\u5b89\u5b9a\u3055\u305b\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30b5\u30c9\u30eb\u30dd\u30a4\u30f3\u30c8<\/strong>: SGD \u306f\u3001\u640d\u5931\u95a2\u6570\u306e\u91cd\u8981\u306a\u30dd\u30a4\u30f3\u30c8\u3067\u3042\u308b\u978d\u70b9\u306b\u9665\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u978d\u70b9\u3067\u306f\u3001\u4e00\u90e8\u306e\u65b9\u5411\u306f\u6b63\u306e\u66f2\u7387\u3092\u6301\u3061\u3001\u4ed6\u306e\u65b9\u5411\u306f\u8ca0\u306e\u66f2\u7387\u3092\u6301\u3061\u307e\u3059\u3002SGD \u306e\u904b\u52d5\u91cf\u30d9\u30fc\u30b9\u306e\u30d0\u30ea\u30a2\u30f3\u30c8\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u978d\u70b9\u3092\u3088\u308a\u52b9\u679c\u7684\u306b\u514b\u670d\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n<h2>\u4e3b\u306a\u7279\u5fb4\u3068\u985e\u4f3c\u7528\u8a9e\u3068\u306e\u6bd4\u8f03<\/h2>\n<table>\n<thead>\n<tr>\n<th>\u7279\u6027<\/th>\n<th>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5 (SGD)<\/th>\n<th>\u30d0\u30c3\u30c1\u52fe\u914d\u964d\u4e0b\u6cd5<\/th>\n<th>\u30df\u30cb\u30d0\u30c3\u30c1\u52fe\u914d\u964d\u4e0b\u6cd5<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u60c5\u5831\u51e6\u7406<\/td>\n<td>\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0 \u30c7\u30fc\u30bf\u304b\u3089\u30df\u30cb\u30d0\u30c3\u30c1\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u307e\u3059\u3002<\/td>\n<td>\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0 \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5168\u4f53\u3092\u4e00\u5ea6\u306b\u51e6\u7406\u3057\u307e\u3059\u3002<\/td>\n<td>SGD \u3068\u30d0\u30c3\u30c1 GD \u306e\u4e2d\u9593\u306e\u3001\u30df\u30cb\u30d0\u30c3\u30c1\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u307e\u3059\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u8a08\u7b97\u52b9\u7387<\/td>\n<td>\u30c7\u30fc\u30bf\u306e\u5c0f\u3055\u306a\u30b5\u30d6\u30bb\u30c3\u30c8\u306e\u307f\u3092\u51e6\u7406\u3059\u308b\u305f\u3081\u3001\u975e\u5e38\u306b\u52b9\u7387\u7684\u3067\u3059\u3002<\/td>\n<td>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5168\u4f53\u3092\u51e6\u7406\u3059\u308b\u305f\u3081\u3001\u52b9\u7387\u304c\u4f4e\u304f\u306a\u308a\u307e\u3059\u3002<\/td>\n<td>\u52b9\u7387\u7684\u3067\u3059\u304c\u3001\u7d14\u7c8b\u306a SGD \u307b\u3069\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u53ce\u675f\u7279\u6027<\/td>\n<td>\u5c40\u6240\u6700\u5c0f\u5024\u304b\u3089\u8131\u51fa\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u901f\u304f\u53ce\u675f\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/td>\n<td>\u53ce\u675f\u306f\u9045\u3044\u3067\u3059\u304c\u3001\u3088\u308a\u5b89\u5b9a\u3057\u3066\u3044\u307e\u3059\u3002<\/td>\n<td>\u30d0\u30c3\u30c1 GD \u3088\u308a\u3082\u53ce\u675f\u304c\u901f\u3044\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u30ce\u30a4\u30ba<\/td>\n<td>\u30ce\u30a4\u30ba\u304c\u5c0e\u5165\u3055\u308c\u3001\u640d\u5931\u95a2\u6570\u306e\u5909\u52d5\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002<\/td>\n<td>\u5b8c\u5168\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f7f\u7528\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u30ce\u30a4\u30ba\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/td>\n<td>\u591a\u5c11\u306e\u30ce\u30a4\u30ba\u306f\u767a\u751f\u3057\u307e\u3059\u304c\u3001\u7d14\u7c8b\u306a SGD \u3088\u308a\u306f\u5c11\u306a\u304f\u306a\u308a\u307e\u3059\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306b\u95a2\u3059\u308b\u5c06\u6765\u306e\u5c55\u671b\u3068\u6280\u8853<\/h2>\n<p>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306f\u3001\u6a5f\u68b0\u5b66\u7fd2\u306b\u304a\u3051\u308b\u57fa\u672c\u7684\u306a\u6700\u9069\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3042\u308a\u7d9a\u3051\u3066\u304a\u308a\u3001\u5c06\u6765\u7684\u306b\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3059\u3053\u3068\u304c\u671f\u5f85\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u7814\u7a76\u8005\u306f\u3001\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3068\u5b89\u5b9a\u6027\u3092\u5411\u4e0a\u3055\u305b\u308b\u305f\u3081\u306b\u3001\u7d99\u7d9a\u7684\u306b\u4fee\u6b63\u3068\u6539\u5584\u3092\u6a21\u7d22\u3057\u3066\u3044\u307e\u3059\u3002\u5c06\u6765\u306e\u958b\u767a\u306e\u53ef\u80fd\u6027\u3068\u3057\u3066\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u3082\u306e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ol>\n<li>\n<p><strong>\u9069\u5fdc\u5b66\u7fd2\u7387<\/strong>\u3088\u308a\u9ad8\u5ea6\u306a\u9069\u5fdc\u5b66\u7fd2\u7387\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u958b\u767a\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u5e83\u7bc4\u56f2\u306e\u6700\u9069\u5316\u554f\u984c\u3092\u52b9\u679c\u7684\u306b\u51e6\u7406\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u4e26\u5217\u5316<\/strong>: SGD \u3092\u4e26\u5217\u5316\u3057\u3066\u8907\u6570\u306e\u30d7\u30ed\u30bb\u30c3\u30b5\u307e\u305f\u306f\u5206\u6563\u30b3\u30f3\u30d4\u30e5\u30fc\u30c6\u30a3\u30f3\u30b0 \u30b7\u30b9\u30c6\u30e0\u3092\u6d3b\u7528\u3059\u308b\u3068\u3001\u5927\u898f\u6a21\u30e2\u30c7\u30eb\u306e\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u6642\u9593\u3092\u5927\u5e45\u306b\u77ed\u7e2e\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u52a0\u901f\u6280\u8853<\/strong>: \u904b\u52d5\u91cf\u6cd5\u3001\u30cd\u30b9\u30c6\u30ed\u30d5\u52a0\u901f\u6cd5\u3001\u5206\u6563\u4f4e\u6e1b\u6cd5\u306a\u3069\u306e\u624b\u6cd5\u306f\u3001\u53ce\u675f\u901f\u5ea6\u3092\u5411\u4e0a\u3055\u305b\u308b\u305f\u3081\u306b\u3055\u3089\u306b\u6539\u826f\u3055\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n<h2>\u30d7\u30ed\u30ad\u30b7\u30b5\u30fc\u30d0\u30fc\u3092\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u3067\u4f7f\u7528\u3059\u308b\u65b9\u6cd5\u307e\u305f\u306f\u95a2\u9023\u4ed8\u3051\u308b\u65b9\u6cd5<\/h2>\n<p>\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u306f\u3001\u30a4\u30f3\u30bf\u30fc\u30cd\u30c3\u30c8\u4e0a\u306e\u30af\u30e9\u30a4\u30a2\u30f3\u30c8\u3068\u4ed6\u306e\u30b5\u30fc\u30d0\u30fc\u306e\u9593\u306e\u4ef2\u4ecb\u5f79\u3068\u3057\u3066\u6a5f\u80fd\u3057\u307e\u3059\u3002\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u306f\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u3068\u76f4\u63a5\u95a2\u9023\u3057\u3066\u3044\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u7279\u5b9a\u306e\u30b7\u30ca\u30ea\u30aa\u3067\u306f\u95a2\u9023\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ol>\n<li>\n<p><strong>\u30c7\u30fc\u30bf\u306e\u30d7\u30e9\u30a4\u30d0\u30b7\u30fc<\/strong>: \u6a5f\u5bc6\u6027\u306e\u9ad8\u3044\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3084\u72ec\u81ea\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3067\u6a5f\u68b0\u5b66\u7fd2\u30e2\u30c7\u30eb\u3092\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u3059\u308b\u5834\u5408\u3001\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u3092\u4f7f\u7528\u3057\u3066\u30c7\u30fc\u30bf\u3092\u533f\u540d\u5316\u3057\u3001\u30e6\u30fc\u30b6\u30fc\u306e\u30d7\u30e9\u30a4\u30d0\u30b7\u30fc\u3092\u4fdd\u8b77\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30ed\u30fc\u30c9\u30d0\u30e9\u30f3\u30b7\u30f3\u30b0<\/strong>\u5206\u6563\u578b\u6a5f\u68b0\u5b66\u7fd2\u30b7\u30b9\u30c6\u30e0\u3067\u306f\u3001\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u306f\u8ca0\u8377\u5206\u6563\u3068\u8a08\u7b97\u30ef\u30fc\u30af\u30ed\u30fc\u30c9\u306e\u52b9\u7387\u7684\u306a\u5206\u6563\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30ad\u30e3\u30c3\u30b7\u30f3\u30b0<\/strong>: \u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u306f\u3001\u30c7\u30fc\u30bf\u306e\u30df\u30cb\u30d0\u30c3\u30c1\u306a\u3069\u3001\u983b\u7e41\u306b\u30a2\u30af\u30bb\u30b9\u3055\u308c\u308b\u30ea\u30bd\u30fc\u30b9\u3092\u30ad\u30e3\u30c3\u30b7\u30e5\u3067\u304d\u308b\u305f\u3081\u3001\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u4e2d\u306e\u30c7\u30fc\u30bf \u30a2\u30af\u30bb\u30b9\u6642\u9593\u3092\u77ed\u7e2e\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n<h2>\u95a2\u9023\u30ea\u30f3\u30af<\/h2>\n<p>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306e\u8a73\u7d30\u306b\u3064\u3044\u3066\u306f\u3001\u6b21\u306e\u30ea\u30bd\u30fc\u30b9\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<ol>\n<li><a href=\"http:\/\/cs231n.github.io\/optimization-1\/\" target=\"_new\" rel=\"noopener nofollow\">\u30b9\u30bf\u30f3\u30d5\u30a9\u30fc\u30c9\u5927\u5b66 CS231n \u6700\u9069\u5316\u624b\u6cd5\u306b\u95a2\u3059\u308b\u8b1b\u7fa9<\/a><\/li>\n<li><a href=\"https:\/\/www.deeplearningbook.org\/contents\/optimization.html\" target=\"_new\" rel=\"noopener nofollow\">\u30c7\u30a3\u30fc\u30d7\u30e9\u30fc\u30cb\u30f3\u30b0\u30d6\u30c3\u30af \u2013 \u7b2c8\u7ae0: \u30c7\u30a3\u30fc\u30d7\u30e2\u30c7\u30eb\u306e\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u306e\u6700\u9069\u5316<\/a><\/li>\n<\/ol>\n<p>\u78ba\u7387\u7684\u52fe\u914d\u964d\u4e0b\u6cd5\u306e\u6982\u5ff5\u3068\u5fdc\u7528\u3092\u3088\u308a\u6df1\u304f\u7406\u89e3\u3059\u308b\u306b\u306f\u3001\u3053\u308c\u3089\u306e\u30bd\u30fc\u30b9\u3092\u8abf\u3079\u308b\u3053\u3068\u3092\u5fd8\u308c\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u3002<\/p>","protected":false},"featured_media":470609,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-479160","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Stochastic Gradient Descent: An In-depth Analysis<\/mark>","faq_items":[{"question":"What is Stochastic Gradient Descent (SGD)?","answer":"<p>Stochastic Gradient Descent (SGD) is an optimization algorithm used in machine learning and deep learning to find the optimal parameters of a model by iteratively updating them based on mini-batches of training data. It introduces randomness in the parameter updates, making it computationally efficient and capable of handling large datasets.<\/p>"},{"question":"How does Stochastic Gradient Descent work?","answer":"<p>SGD works by randomly sampling mini-batches of data from the training set and computing the gradient of the loss function with respect to the model parameters on these mini-batches. The parameters are then updated using the computed gradient and a learning rate, which controls the step size of the updates. This process is repeated iteratively until the convergence criteria are met.<\/p>"},{"question":"What are the key features of Stochastic Gradient Descent?","answer":"<p>The key features of SGD include its efficiency, memory scalability, and ability to escape local minima due to the randomness introduced by mini-batch sampling. However, it can also introduce noise in the optimization process, leading to fluctuations in the loss function during training.<\/p>"},{"question":"What types of Stochastic Gradient Descent exist?","answer":"<p>Several variants of Stochastic Gradient Descent have been developed, including:<\/p><ul><li>Mini-batch Gradient Descent: Uses a fixed-size batch of data points in each iteration.<\/li><li>Online Gradient Descent: Processes one data point at a time.<\/li><li>Momentum SGD: Incorporates momentum to accelerate convergence.<\/li><li>Nesterov Accelerated Gradient (NAG): Adjusts the update direction for better performance.<\/li><li>Adagrad and RMSprop: Adaptive learning rate algorithms.<\/li><li>Adam: Combines benefits of momentum and RMSprop for faster convergence.<\/li><\/ul>"},{"question":"How can Stochastic Gradient Descent be used, and what are the challenges?","answer":"<p>SGD is widely used in machine learning tasks, particularly in training deep neural networks. However, using SGD effectively comes with challenges, such as selecting an appropriate learning rate, dealing with noise and fluctuations, handling vanishing and exploding gradients, and addressing saddle points.<\/p>"},{"question":"What are the future perspectives of Stochastic Gradient Descent?","answer":"<p>In the future, researchers are expected to explore improvements in adaptive learning rates, parallelization, and acceleration techniques to further enhance the performance and stability of SGD in machine learning applications.<\/p>"},{"question":"How are proxy servers associated with Stochastic Gradient Descent?","answer":"<p>Proxy servers can be relevant in scenarios involving data privacy, load balancing in distributed systems, and caching frequently accessed resources like mini-batches during SGD training. They can complement the use of SGD in specific machine learning setups.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/wiki\/479160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/wiki\/479160\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/media\/470609"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/media?parent=479160"}],"curies":[{"name":"\u3046\u30fc\u3093","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}