{"id":3686,"date":"2026-01-30T06:32:41","date_gmt":"2026-01-30T06:32:41","guid":{"rendered":"https:\/\/umaax.com\/shenmeshixishubianmasparsecodingaibaikezhishi\/"},"modified":"2026-01-30T06:32:41","modified_gmt":"2026-01-30T06:32:41","slug":"shenmeshixishubianmasparsecodingaibaikezhishi","status":"publish","type":"post","link":"https:\/\/umaax.com\/en\/shenmeshixishubianmasparsecodingaibaikezhishi\/","title":{"rendered":"\u4ec0\u4e48\u662f\u7a00\u758f\u7f16\u7801\uff08Sparse Coding\uff09 \u2013 AI\u767e\u79d1\u77e5\u8bc6"},"content":{"rendered":"<p>\u7a00\u758f\u7f16\u7801\uff08Sparse Coding\uff09\u901a\u8fc7\u63d0\u53d6\u6570\u636e\u7684\u6838\u5fc3\u7279\u5f81\uff0c\u5c06\u590d\u6742\u4fe1\u606f\u4ee5\u6781\u7b80\u7684\u65b9\u5f0f\u8868\u8fbe\uff0c\u4e0d\u4ec5\u4f18\u5316\u4e86\u5b58\u50a8\u6548\u7387\uff0c\u8fd8\u589e\u5f3a\u4e86\u4fe1\u53f7\u7684\u6297\u5e72\u6270\u6027\u3002\u5728\u56fe\u50cf\u5904\u7406\u3001\u8bed\u97f3\u8bc6\u522b\u4e43\u81f3\u6df1\u5ea6\u5b66\u4e60\u7b49\u591a\u4e2a\u9886\u57df\u5c55\u73b0\u51fa\u5de8\u5927\u6f5c\u529b\uff0c\u6b63\u9010\u6e10\u6210\u4e3a\u73b0\u4ee3\u6570\u636e\u5206\u6790\u4e0d\u53ef\u6216\u7f3a\u7684\u5de5\u5177\u3002\u968f\u7740\u7814\u7a76\u7684\u6df1\u5165\uff0c\u7a00\u758f\u7f16\u7801\u6709\u671b\u89e3\u9501\u66f4\u591a\u53ef\u80fd\uff0c\u5f15\u9886\u6211\u4eec\u8d70\u5411\u66f4\u52a0\u667a\u80fd\u548c\u9ad8\u6548\u7684\u672a\u6765\u3002<\/p>\n<p>\u00a0<\/p>\n<h2>\u4ec0\u4e48\u662f\u7a00\u758f\u7f16\u7801<\/h2>\n<p>\u7a00\u758f\u7f16\u7801\uff08Sparse Coding\uff09\u662f\u4e00\u79cd\u6570\u636e\u8868\u793a\u65b9\u6cd5\uff0c\u65e8\u5728\u901a\u8fc7\u5c11\u91cf\u975e\u96f6\u5143\u7d20\u6765\u63cf\u8ff0\u6570\u636e\uff0c\u63d0\u53d6\u5176\u5173\u952e\u7279\u5f81\u3002\u5728\u56fe\u50cf\u5904\u7406\u548c\u673a\u5668\u5b66\u4e60\u4e2d\u5e7f\u6cdb\u5e94\u7528\uff0c\u901a\u8fc7\u6784\u5efa\u4e00\u4e2a\u8d85\u5b8c\u5907\u5b57\u5178\uff0c\u5c06\u8f93\u5165\u6570\u636e\u7a00\u758f\u5730\u8868\u793a\u4e3a\u5b57\u5178\u57fa\u5411\u91cf\u7684\u7ebf\u6027\u7ec4\u5408\u3002\u4e0d\u4ec5\u6355\u6349\u4e86\u6570\u636e\u7684\u5185\u5728\u7ed3\u6784\uff0c\u8fd8\u6709\u52a9\u4e8e\u63d0\u9ad8\u8ba1\u7b97\u6548\u7387\u548c\u589e\u5f3a\u6a21\u578b\u7684\u6cdb\u5316\u80fd\u529b\u3002<\/p>\n<h2>\u7a00\u758f\u7f16\u7801\u7684\u5de5\u4f5c\u539f\u7406<\/h2>\n<p>\u7a00\u758f\u7f16\u7801\uff08Sparse Coding\uff09\u7684\u5de5\u4f5c\u539f\u7406\u57fa\u4e8e\u89c2\u5bdf\u5230\u7684\u81ea\u7136\u4fe1\u53f7\uff08\u5982\u56fe\u50cf\u3001\u58f0\u97f3\uff09\u901a\u5e38\u53ef\u4ee5\u5728\u4e00\u4e2a\u5408\u9002\u7684\u57fa\u5e95\u4e0b\u7528\u5f88\u5c11\u7684\u975e\u96f6\u7cfb\u6570\u6765\u8868\u793a\u7684\u73b0\u8c61\u3002\u901a\u8fc7\u6784\u5efa\u4e00\u4e2a\u8d85\u5b8c\u5907\u7684\u5b57\u5178\uff0c\u5176\u4e2d\u5305\u542b\u5927\u91cf\u53ef\u80fd\u7684\u57fa\u5143\u7d20\uff0c\u627e\u5230\u4e00\u79cd\u65b9\u5f0f\uff0c\u4f7f\u5f97\u8f93\u5165\u6570\u636e\u53ef\u4ee5\u4ee5\u8fd9\u4e9b\u57fa\u5143\u7d20\u7684\u7ebf\u6027\u7ec4\u5408\u6765\u8fd1\u4f3c\u8868\u793a\uff0c\u540c\u65f6\u4fdd\u8bc1\u7ec4\u5408\u4e2d\u7684\u7cfb\u6570\u5c3d\u53ef\u80fd\u5730\u7a00\u758f\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u8f93\u5165\u4fe1\u53f7\uff0c\u7a00\u758f\u7f16\u7801\u8bd5\u56fe\u627e\u5230\u4e00\u4e2a\u7cfb\u6570\u96c6\u5408\uff0c\u7cfb\u6570\u4e0e\u5b57\u5178\u4e2d\u7684\u57fa\u5143\u7d20\u76f8\u4e58\u540e\uff0c\u80fd\u591f\u5c3d\u53ef\u80fd\u7cbe\u786e\u5730\u91cd\u5efa\u539f\u59cb\u4fe1\u53f7\uff0c\u5e76\u4e14\u7cfb\u6570\u96c6\u5408\u4e2d\u53ea\u6709\u5c11\u6570\u51e0\u4e2a\u663e\u8457\u7684\u975e\u96f6\u503c\uff0c\u800c\u5176\u4f59\u7cfb\u6570\u90fd\u63a5\u8fd1\u4e8e\u96f6\u3002<\/p>\n<p>\u5728\u5b9e\u9645\u64cd\u4f5c\u4e2d\uff0c\u7a00\u758f\u7f16\u7801\u901a\u5e38\u6d89\u53ca\u4e24\u4e2a\u4e3b\u8981\u6b65\u9aa4\uff1a\u4e00\u4e2a\u662f\u5b57\u5178\u5b66\u4e60\uff0c\u5373\u901a\u8fc7\u65e0\u76d1\u7763\u5b66\u4e60\u7b97\u6cd5\u4ece\u8bad\u7ec3\u6570\u636e\u4e2d\u5b66\u4e60\u5f97\u5230\u4e00\u4e2a\u6709\u6548\u7684\u5b57\u5178\uff1b\u53e6\u4e00\u4e2a\u662f\u7a00\u758f\u8868\u793a\uff0c\u5373\u5229\u7528\u5df2\u5b66\u4e60\u7684\u5b57\u5178\u4e3a\u65b0\u7684\u6570\u636e\u6837\u672c\u627e\u5230\u4e00\u4e2a\u7a00\u758f\u7684\u7cfb\u6570\u8868\u793a\u3002\u53ef\u4ee5\u901a\u8fc7\u4f18\u5316\u4e00\u4e2a\u5305\u542b\u6570\u636e\u91cd\u5efa\u8bef\u5dee\u9879\u548c\u7a00\u758f\u6027\u60e9\u7f5a\u9879\u7684\u635f\u5931\u51fd\u6570\u6765\u5b9e\u73b0\u3002\u4f18\u5316\u7b97\u6cd5\uff0c\u5982\u57fa\u8ffd\u8e2a\u6216\u8d2a\u5a6a\u7b97\u6cd5\uff0c\u88ab\u7528\u6765\u6c42\u89e3\u8fd9\u4e2a\u975e\u51f8\u4f18\u5316\u95ee\u9898\uff0c\u4ee5\u5f97\u5230\u7a00\u758f\u7684\u7cfb\u6570\u5411\u91cf\uff0c\u4ece\u800c\u5b9e\u73b0\u5bf9\u6570\u636e\u7684\u6709\u6548\u7f16\u7801\u3002<\/p>\n<h2>\u7a00\u758f\u7f16\u7801\u7684\u4e3b\u8981\u5e94\u7528<\/h2>\n<p>\u7a00\u758f\u7f16\u7801\u5728\u591a\u4e2a\u9886\u57df\u90fd\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\uff0c\u4e3b\u8981\u5305\u62ec\uff1a<\/p>\n<ul>\n<li><strong>\u56fe\u50cf\u5904\u7406<\/strong>\uff1a\u5728\u56fe\u50cf\u5206\u6790\u4e2d\uff0c\u7a00\u758f\u7f16\u7801\u7528\u4e8e\u7279\u5f81\u63d0\u53d6\uff0c\u53ef\u4ee5\u6709\u6548\u5730\u8bc6\u522b\u56fe\u50cf\u4e2d\u7684\u91cd\u8981\u5143\u7d20\uff0c\u5982\u8fb9\u7f18\u3001\u7eb9\u7406\u548c\u5f62\u72b6\u3002\u5b83\u4e5f\u88ab\u7528\u4e8e\u56fe\u50cf\u53bb\u566a\u3001\u538b\u7f29\u548c\u91cd\u5efa\uff0c\u901a\u8fc7\u7a00\u758f\u8868\u793a\u53bb\u9664\u5197\u4f59\u4fe1\u606f\uff0c\u63d0\u9ad8\u56fe\u50cf\u8d28\u91cf\u3002<\/li>\n<li><strong>\u8ba1\u7b97\u673a\u89c6\u89c9<\/strong>\uff1a\u7a00\u758f\u7f16\u7801\u6709\u52a9\u4e8e\u5728\u89c6\u89c9\u8bc6\u522b\u4efb\u52a1\u4e2d\u63d0\u53d6\u9c81\u68d2\u7684\u7279\u5f81\uff0c\u7528\u4e8e\u5bf9\u8c61\u8bc6\u522b\u3001\u573a\u666f\u5206\u7c7b\u548c\u56fe\u50cf\u5206\u5272\u3002<\/li>\n<li><strong>\u4fe1\u53f7\u5904\u7406<\/strong>\uff1a\u5728\u8bed\u97f3\u548c\u97f3\u9891\u4fe1\u53f7\u5904\u7406\u4e2d\uff0c\u7a00\u758f\u7f16\u7801\u53ef\u4ee5\u7528\u4e8e\u964d\u566a\u3001\u7279\u5f81\u63d0\u53d6\u548c\u8bed\u97f3\u8bc6\u522b\uff0c\u901a\u8fc7\u7a00\u758f\u8868\u793a\u5206\u79bb\u51fa\u91cd\u8981\u7684\u4fe1\u53f7\u6210\u5206\u3002<\/li>\n<li><strong>\u673a\u5668\u5b66\u4e60\u548c\u6570\u636e\u6316\u6398<\/strong>\uff1a\u7a00\u758f\u7f16\u7801\u4f5c\u4e3a\u4e00\u79cd\u7279\u5f81\u9009\u62e9\u548c\u964d\u7ef4\u6280\u672f\uff0c\u53ef\u4ee5\u63d0\u9ad8\u7b97\u6cd5\u7684\u6548\u7387\u548c\u9884\u6d4b\u7684\u51c6\u786e\u6027\uff0c\u7279\u522b\u662f\u5728\u5904\u7406\u9ad8\u7ef4\u6570\u636e\u96c6\u65f6\u3002<\/li>\n<li><strong>\u795e\u7ecf\u7f51\u7edc<\/strong>\uff1a\u5728\u6df1\u5ea6\u5b66\u4e60\u4e2d\uff0c\u7a00\u758f\u7f16\u7801\u539f\u7406\u88ab\u7528\u4e8e\u8bbe\u8ba1\u7f51\u7edc\u7ed3\u6784\uff0c\u5982\u7a00\u758f\u81ea\u7f16\u7801\u5668\uff0c\u4ee5\u5b66\u4e60\u6570\u636e\u7684\u9ad8\u6548\u8868\u793a\uff0c\u4fc3\u8fdb\u7f51\u7edc\u5b66\u4e60\u66f4\u52a0\u62bd\u8c61\u548c\u6709\u7528\u7684\u7279\u5f81\u3002<\/li>\n<li><strong>\u533b\u5b66\u6210\u50cf<\/strong>\uff1a\u5728\u533b\u5b66\u6210\u50cf\u5206\u6790\u4e2d\uff0c\u7a00\u758f\u7f16\u7801\u5e2e\u52a9\u4eceMRI\u3001CT\u626b\u63cf\u7b49\u533b\u5b66\u56fe\u50cf\u4e2d\u63d0\u53d6\u6709\u7528\u7684\u751f\u7269\u6807\u5fd7\u7269\uff0c\u7528\u4e8e\u75be\u75c5\u8bca\u65ad\u548c\u6cbb\u7597\u54cd\u5e94\u8bc4\u4f30\u3002<\/li>\n<li><strong>\u81ea\u7136\u8bed\u8a00\u5904\u7406<\/strong>\uff1a\u5728\u6587\u672c\u5206\u6790\u4e2d\uff0c\u7a00\u758f\u7f16\u7801\u53ef\u4ee5\u7528\u4e8e\u8bcd\u5d4c\u5165\u548c\u4e3b\u9898\u5efa\u6a21\uff0c\u63ed\u793a\u6587\u672c\u6570\u636e\u4e2d\u7684\u6f5c\u5728\u8bed\u4e49\u7ed3\u6784\u3002<\/li>\n<li><strong>\u63a8\u8350\u7cfb\u7edf<\/strong>\uff1a\u5728\u63a8\u8350\u7cfb\u7edf\u4e2d\uff0c\u7a00\u758f\u7f16\u7801\u80fd\u591f\u5206\u6790\u7528\u6237\u884c\u4e3a\u548c\u504f\u597d\uff0c\u63d0\u4f9b\u4e2a\u6027\u5316\u7684\u63a8\u8350\u3002<\/li>\n<\/ul>\n<h2>\u7a00\u758f\u7f16\u7801\u9762\u4e34\u7684\u6311\u6218<\/h2>\n<p>\u7a00\u758f\u7f16\u7801\u867d\u7136\u5728\u591a\u4e2a\u9886\u57df\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\uff0c\u4f46\u4e5f\u9762\u4e34\u7740\u4e00\u4e9b\u6311\u6218\u548c\u95ee\u9898\uff1a<\/p>\n<ul>\n<li><strong>\u8ba1\u7b97\u590d\u6742\u6027<\/strong>\uff1a\u7a00\u758f\u7f16\u7801\u901a\u5e38\u6d89\u53ca\u4f18\u5316\u4e00\u4e2a\u975e\u51f8\u95ee\u9898\uff0c\u8fd9\u53ef\u80fd\u5bfc\u81f4\u8ba1\u7b97\u8fc7\u7a0b\u975e\u5e38\u8017\u65f6\uff0c\u5c24\u5176\u662f\u5728\u5904\u7406\u5927\u89c4\u6a21\u6570\u636e\u96c6\u65f6\u3002\u5bfb\u627e\u7a00\u758f\u89e3\u7684\u8fc7\u7a0b\u53ef\u80fd\u9700\u8981\u5927\u91cf\u7684\u8fed\u4ee3\u548c\u8ba1\u7b97\u8d44\u6e90\u3002<\/li>\n<li><strong>\u5b57\u5178\u5b66\u4e60<\/strong>\uff1a\u5b57\u5178\u7684\u8d28\u91cf\u548c\u5b66\u4e60\u7b97\u6cd5\u7684\u9009\u62e9\u5bf9\u7a00\u758f\u7f16\u7801\u7684\u6027\u80fd\u6709\u5f88\u5927\u5f71\u54cd\u3002\u81ea\u52a8\u5b66\u4e60\u4e00\u4e2a\u9002\u5408\u6570\u636e\u7279\u6027\u7684\u5b57\u5178\u662f\u5177\u6709\u6311\u6218\u6027\u7684\uff0c\u9700\u8981\u6709\u6548\u7684\u7b97\u6cd5\u6765\u907f\u514d\u8fc7\u62df\u5408\u548c\u6b20\u62df\u5408\u3002<\/li>\n<li><strong>\u7a00\u758f\u8868\u793a\u7684\u4e0d\u552f\u4e00\u6027<\/strong>\uff1a\u5bf9\u4e8e\u8d85\u5b8c\u5907\u5b57\u5178\uff0c\u53ef\u80fd\u5b58\u5728\u591a\u4e2a\u4e0d\u540c\u7684\u7a00\u758f\u8868\u793a\u53ef\u4ee5\u8fd1\u4f3c\u5730\u91cd\u6784\u540c\u4e00\u4e2a\u4fe1\u53f7\u3002\u8fd9\u5bfc\u81f4\u4e86\u7a00\u758f\u89e3\u7684\u4e0d\u552f\u4e00\u6027\uff0c\u53ef\u80fd\u9700\u8981\u989d\u5916\u7684\u7ea6\u675f\u6216\u6b63\u5219\u5316\u9879\u6765\u9009\u62e9\u4e00\u4e2a\u7a33\u5b9a\u7684\u89e3\u3002<\/li>\n<li><strong>\u53c2\u6570\u9009\u62e9<\/strong>\uff1a\u7a00\u758f\u7f16\u7801\u8fc7\u7a0b\u4e2d\u6d89\u53ca\u591a\u4e2a\u53c2\u6570\uff0c\u5982\u5b57\u5178\u5927\u5c0f\u3001\u7a00\u758f\u5ea6\u63a7\u5236\u53c2\u6570\u7b49\uff0c\u8fd9\u4e9b\u53c2\u6570\u7684\u9009\u62e9\u5bf9\u7ed3\u679c\u7684\u8d28\u91cf\u6709\u663e\u8457\u5f71\u54cd\u3002\u4f46\u662f\uff0c\u6ca1\u6709\u901a\u7528\u7684\u51c6\u5219\u6765\u6307\u5bfc\u8fd9\u4e9b\u53c2\u6570\u7684\u6700\u4f73\u9009\u62e9\u3002<\/li>\n<li><strong>\u566a\u58f0\u548c\u5f02\u5e38\u503c\u7684\u9c81\u68d2\u6027<\/strong>\uff1a\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6570\u636e\u53ef\u80fd\u5305\u542b\u566a\u58f0\u6216\u5f02\u5e38\u503c\u3002\u7a00\u758f\u7f16\u7801\u9700\u8981\u8db3\u591f\u9c81\u68d2\uff0c\u4ee5\u6b63\u786e\u5904\u7406\u8fd9\u4e9b\u5e72\u6270\uff0c\u800c\u4e0d\u4f1a\u635f\u5bb3\u91cd\u8981\u7279\u5f81\u7684\u8868\u793a\u3002<\/li>\n<li><strong>\u7406\u8bba\u57fa\u7840<\/strong>\uff1a\u5c3d\u7ba1\u7a00\u758f\u7f16\u7801\u5728\u5b9e\u8df5\u4e2d\u53d6\u5f97\u4e86\u6210\u529f\uff0c\u4f46\u5176\u7406\u8bba\u57fa\u7840\u4ecd\u7136\u4e0d\u5b8c\u5168\u6e05\u695a\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u4ec0\u4e48\u6837\u7684\u6570\u636e\u548c\u95ee\u9898\uff0c\u7a00\u758f\u7f16\u7801\u662f\u6700\u6709\u6548\u7684\uff0c\u4ee5\u53ca\u4e3a\u4ec0\u4e48\u6709\u6548\uff0c\u8fd9\u4e9b\u95ee\u9898\u8fd8\u9700\u8981\u66f4\u6df1\u5165\u7684\u7814\u7a76\u3002<\/li>\n<li><strong>\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u9002\u5e94\u6027<\/strong>\uff1a\u5728\u4e0d\u540c\u7684\u5e94\u7528\u573a\u666f\u4e2d\uff0c\u7a00\u758f\u7f16\u7801\u9700\u8981\u80fd\u591f\u9002\u5e94\u6570\u636e\u7684\u7279\u5b9a\u7279\u6027\u548c\u9700\u6c42\u3002\u8fd9\u53ef\u80fd\u8981\u6c42\u5bf9\u7b97\u6cd5\u8fdb\u884c\u8c03\u6574\u6216\u5b9a\u5236\uff0c\u4ee5\u5b9e\u73b0\u6700\u4f73\u6027\u80fd\u3002<\/li>\n<li><strong>\u6a21\u578b\u89e3\u91ca\u6027<\/strong>\uff1a\u7a00\u758f\u7f16\u7801\u6a21\u578b\u901a\u5e38\u88ab\u89c6\u4e3a\u201c\u9ed1\u7bb1\u201d\uff0c\u5176\u5185\u90e8\u5de5\u4f5c\u673a\u5236\u548c\u51b3\u7b56\u8fc7\u7a0b\u4e0d\u6613\u4e8e\u89e3\u91ca\u3002\u5728\u67d0\u4e9b\u9886\u57df\uff0c\u5982\u533b\u7597\u8bca\u65ad\uff0c\u6a21\u578b\u7684\u53ef\u89e3\u91ca\u6027\u662f\u975e\u5e38\u91cd\u8981\u7684\u3002<\/li>\n<\/ul>\n<h2>\u7a00\u758f\u7f16\u7801\u7684\u53d1\u5c55\u524d\u666f<\/h2>\n<p>\u7a00\u758f\u7f16\u7801\u4f5c\u4e3a\u4e00\u79cd\u5f3a\u5927\u7684\u6570\u636e\u5904\u7406\u6280\u672f\uff0c\u5176\u53d1\u5c55\u524d\u666f\u5e7f\u9614\u3002\u968f\u7740\u8ba1\u7b97\u80fd\u529b\u7684\u63d0\u5347\u548c\u7b97\u6cd5\u4f18\u5316\uff0c\u9884\u8ba1\u5c06\u5728\u591a\u4e2a\u9886\u57df\u5f97\u5230\u66f4\u6df1\u5165\u7684\u5e94\u7528\uff0c\u7279\u522b\u662f\u5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Coding\uff09\u901a\u8fc7\u63d0\u53d6\u6570\u636e\u7684\u6838\u5fc3\u7279\u5f81\uff0c\u5c06\u590d\u6742\u4fe1\u606f\u4ee5\u6781\u7b80\u7684\u65b9\u5f0f\u8868\u8fbe\uff0c\u4e0d\u4ec5\u4f18\u5316\u4e86\u5b58\u50a8\u6548\u7387\uff0c\u8fd8\u589e\u5f3a\u4e86\u4fe1\u53f7\u7684\u6297\u5e72\u6270\u6027\u3002\u5728\u56fe\u50cf\u5904\u7406\u3001\u8bed\u97f3\u8bc6\u522b\u4e43\u81f3\u6df1\u5ea6\u5b66\u4e60\u7b49\u591a\u4e2a\u9886\u57df\u5c55\u73b0\u51fa\u5de8\u5927\u6f5c\u529b\uff0c\u6b63\u9010\u6e10\u6210\u4e3a\u73b0\u4ee3\u6570\u636e\u5206\u6790\u4e0d\u53ef\u6216\u7f3a\u7684\u5de5\u5177\u3002\u968f\u7740\u7814\u7a76\u7684\u6df1\u5165\uff0c\u7a00\u758f\u7f16\u7801\u6709\u671b\u89e3\u9501\u66f4\u591a\u53ef\u80fd\uff0c\u5f15\u9886\u6211\u4eec\u8d70\u5411\u66f4\u52a0\u667a\u80fd\u548c\u9ad8\u6548\u7684\u672a\u6765\u3002 \u00a0 \u4ec0\u4e48\u662f\u7a00\u758f\u7f16\u7801 \u7a00\u758f\u7f16\u7801\uff08Sparse Coding\uff09\u662f\u4e00\u79cd\u6570\u636e\u8868\u793a\u65b9\u6cd5\uff0c\u65e8\u5728\u901a\u8fc7\u5c11\u91cf\u975e\u96f6\u5143\u7d20\u6765\u63cf\u8ff0\u6570\u636e\uff0c\u63d0\u53d6\u5176\u5173\u952e\u7279\u5f81\u3002\u5728\u56fe\u50cf\u5904\u7406\u548c\u673a\u5668\u5b66\u4e60\u4e2d\u5e7f\u6cdb\u5e94\u7528\uff0c\u901a\u8fc7\u6784\u5efa\u4e00\u4e2a\u8d85\u5b8c\u5907\u5b57\u5178\uff0c\u5c06\u8f93\u5165\u6570\u636e\u7a00\u758f\u5730\u8868\u793a\u4e3a\u5b57\u5178\u57fa\u5411\u91cf\u7684\u7ebf\u6027\u7ec4\u5408\u3002\u4e0d\u4ec5\u6355\u6349\u4e86\u6570\u636e\u7684\u5185\u5728\u7ed3\u6784\uff0c\u8fd8\u6709\u52a9\u4e8e\u63d0\u9ad8\u8ba1\u7b97\u6548\u7387\u548c\u589e\u5f3a\u6a21\u578b\u7684\u6cdb\u5316\u80fd\u529b\u3002 \u7a00\u758f\u7f16\u7801\u7684\u5de5\u4f5c\u539f\u7406 \u7a00\u758f\u7f16\u7801\uff08Sparse 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