{"id":45562,"date":"2023-12-11T15:06:11","date_gmt":"2023-12-11T07:06:11","guid":{"rendered":"https:\/\/wx.kaifamiao.info\/?p=45562"},"modified":"2023-12-11T15:06:11","modified_gmt":"2023-12-11T07:06:11","slug":"softmax%e7%9a%84%e5%8e%9f%e7%90%86%e4%ba%86%e8%a7%a3","status":"publish","type":"post","link":"http:\/\/wx.kaifamiao.info\/index.php\/2023\/12\/11\/softmax%e7%9a%84%e5%8e%9f%e7%90%86%e4%ba%86%e8%a7%a3\/","title":{"rendered":"softmax\u7684\u539f\u7406\u4e86\u89e3"},"content":{"rendered":"

“`” \u53c2\u8003\u56de\u7b54\uff1a<\/p>\n

\u8003\u8651\u4e00\u4e2a\u591a\u5206\u7c7b\u95ee\u9898\uff0c\u5373\u9884\u6d4b\u53d8\u91cfy\u53ef\u4ee5\u53d6k\u4e2a\u79bb\u6563\u503c\u4e2d\u7684\u4efb\u4f55\u4e00\u4e2a.\u6bd4\u5982\u4e00\u4e2a\u90ae\u4ef6\u5206\u7c7b\u7cfb\u7edf\u5c06\u90ae\u4ef6\u5206\u4e3a\u79c1\u4eba\u90ae\u4ef6\uff0c\u5de5\u4f5c\u90ae\u4ef6\u548c\u5783\u573e\u90ae\u4ef6\u3002\u7531\u4e8ey\u4ecd\u7136\u662f\u4e00\u4e2a\u79bb\u6563\u503c\uff0c\u53ea\u662f\u76f8\u5bf9\u4e8e\u4e8c\u5206\u7c7b\u7684\u903b\u8f91\u56de\u5f52\u591a\u4e86\u4e00\u4e9b\u7c7b\u522b\u3002\u4e0b\u9762\u5c06\u6839\u636e\u591a\u9879\u5f0f\u5206\u5e03\u5efa\u6a21\u3002<\/p>\n

\u8003\u8651\u5c06\u6837\u672c\u5171\u6709k\u7c7b\uff0c\u6bcf\u4e00\u7c7b\u7684\u6982\u7387\u5206\u522b\u4e3a<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912332812_49DEA3A986F227D201CCC75A9F898196"">,\u7531\u4e8e<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912316380_DBF51BEB257F892842BFE9D8EA63B67A"">\uff0c\u6240\u4ee5\u901a\u5e38\u6211\u4eec\u53ea\u9700\u8981k-1\u4e2a\u53c2\u6570<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912296547_51EBF30C85A21C7DEE5E7210782179B9"">\u5373\u53ef<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912277088_72EF8A8B451D26666AF2B0948D72B8B7"">\uff0c<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912263846_04DBFCB5E6C1EFE47914374A2FD6E31B""><\/p>\n

\u4e3a\u4e86\u63a8\u5bfc\uff0c\u5f15\u5165\u8868\u8fbe\u5f0f\uff1a<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912251158_C962D59D15587B82F9369EE90B9F5F0E""><\/p>\n

\u4e0a\u9762T(y)\u662fk-1\u7ef4\u5217\u5411\u91cf,\u5176\u4e2dy = 1, 2, …k.<\/p>\n

T(y)i \u8868\u793a\u5411\u91cfT(y)\u7684\u7b2ci\u4e2a\u5143\u7d20\u3002<\/p>\n

\u8fd8\u8981\u5f15\u5165\u8868\u8fbe\u5f0f<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912237198_90DF233EC01F187D2C39849CF206BE7D"">,\u5982\u679c\u5927\u62ec\u53f7\u91cc\u9762\u4e3a\u771f\uff0c\u5219\u771f\u4e2a\u8868\u8fbe\u5f0f\u5c31\u4e3a1\uff0c\u5426\u5219\u4e3a0.\u4f8b\u5982\uff1a1{2=3} = 0\u548c1{3=3} = 1.<\/p>\n

\u5219\u4e0a\u9762\u7684k\u4e2a\u5411\u91cf\u5c31\u53ef\u4ee5\u8868\u793a\u4e3a<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912218885_2FB3BE5FD28C64BE8F3722D9ADA39CD5""><\/p>\n

\u4ee5\u4e3ay\u53ea\u80fd\u5c5e\u4e8e\u67d0\u4e00\u4e2a\u7c7b\u522b\uff0c\u4e8e\u662fT(y)\u4e2d\u53ea\u80fd\u6709\u4e00\u4e2a\u5143\u7d20\u4e3a1\u5176\u4ed6\u5143\u7d20\u90fd\u4e3a0\uff0c\u53ef\u4ee5\u6c42\u51fak-1\u4e2a\u5143\u7d20\u7684\u671f\u671b\uff1a<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912204968_040957ECCA47B5DBA52C4AD11631D00C""><\/p>\n

\u5b9a\u4e49\uff1a<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912191552_EDDC1007CDBC89BF6FC0FFF61FBC5173""><\/p>\n

\u5176\u4e2di = 1,2,…k.\u5219\u6709\uff1a<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912178118_8A678117375294A622DF9EF02883AEC6""><\/p>\n

\u4e5f\u5c31\u5bb9\u6613\u5f97\u51fa\uff1a<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912162976_0392BA677073060A89D408E926ABAED9"">\uff0c\u7531\u8be5\u5f0f\u548c\u4e0a\u9762\u4f7f\u5f97\u7b49\u5f0f\uff1a<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912142676_7D5FE97B6B95A23709D7BA87566D8173"">\u4e00\u8d77\u53ef\u4ee5\u5f97\u5230\uff1a<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912020684_7230EFBD6A12F70A5C4AE71A61421A15"">\u8fd9\u4e2a\u51fd\u6570\u5c31\u662fsoftmax\u51fd\u6570\u3002<\/p>\n

\u7136\u540e\u5047\u8bbe<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552912001310_B469096FC45F5EE52E99FD0AE9BF49F8"">\u548c<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552911987122_5324B720996E57EEC63F94FDF3155C0B"">\u5177\u6709\u7ebf\u6027\u5173\u7cfb\uff0c\u5373<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552911965946_60229DCD5261960716C722C07147A653""><\/p>\n

\u4e8e\u662f\u4ece\u6982\u7387\u7684\u89d2\u5ea6\u51fa\u53d1\uff1a<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552911950771_AE7E660593807F2457EC2DEE2DE93E13""><\/p>\n

\u5176\u4e2d<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552911933261_2859076CD1212DAD72F6C04A67F723D8"">\u8fd9\u4e2a\u6a21\u578b\u5c31\u662fsoftmax\u56de\u5f52\uff08softmax regression\uff09,\u5b83\u662f\u903b\u8f91\u56de\u5f52\u7684\u6cdb\u5316\u3002<\/p>\n

\u8fd9\u6837\u6211\u4eec\u7684\u8f93\u51fa\uff1a<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552911911951_FCE07DCC5BB5009B1504A8568F025CCA""><\/p>\n

\u5c31\u662f\u8f93\u51fa\u4e86x\u5c5e\u4e8e\uff081,2,…k-1\uff09\u4e2d\u6bcf\u4e00\u7c7b\u7684\u6982\u7387\uff0c\u5f53\u7136\u5c5e\u4e8e\u7b2ck\u7c7b\u7684\u6982\u7387\u5c31\u662f\uff1a<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552911897289_9B9FCDA45372DC22697AC68B771918EF""><\/p>\n

\u4e0b\u9762\u5f00\u59cb\u62df\u5408\u53c2\u6570<\/p>\n

\u540c\u6837\u4f7f\u7528\u6700\u5927\u5316\u53c2\u6570\u03b8\u7684\u5bf9\u6570\u4f3c\u7136\u51fd\u6570\uff1a<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190318\/311436_1552911884751_B46F06E75A30F53AF5C22717DF0D38C2""><\/p>\n

\u8fd9\u91cc\u4f7f\u7528\u68af\u5ea6\u4e0b\u964d\u548c\u725b\u987f\u6cd5\u5747\u53ef\u3002<\/p>\n

<pre><code> "“`
\n<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"

“`” \u53c2\u8003\u56de\u7b54\uff1a \u8003\u8651\u4e00\u4e2a\u591a\u5206\u7c7b\u95ee\u9898\uff0c\u5373\u9884\u6d4b\u53d8\u91cfy\u53ef\u4ee5\u53d6k\u4e2a\u79bb\u6563\u503c\u4e2d\u7684\u4efb\u4f55\u4e00\u4e2a.\u6bd4\u5982 […]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[101],"tags":[],"class_list":["post-45562","post","type-post","status-publish","format-standard","hentry","category-c"],"_links":{"self":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts\/45562","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/comments?post=45562"}],"version-history":[{"count":1,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts\/45562\/revisions"}],"predecessor-version":[{"id":45563,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts\/45562\/revisions\/45563"}],"wp:attachment":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/media?parent=45562"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/categories?post=45562"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/tags?post=45562"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}