{"id":38914,"date":"2019-02-22T00:00:48","date_gmt":"2019-02-21T16:00:48","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=38914"},"modified":"2022-01-04T03:28:35","modified_gmt":"2022-01-03T19:28:35","slug":"%e6%b2%92%e6%9c%89%e9%9a%8e%e5%b1%a4%e7%9a%84%e7%a5%9e%e7%b6%93%e7%b6%b2%e8%b7%af%e2%94%80ode-net","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=38914","title":{"rendered":"\u6c92\u6709\u968e\u5c64\u7684\u795e\u7d93\u7db2\u8def\u2500ODE net"},"content":{"rendered":"<div class=\"single-post-media clr\">\n<div class=\"post-thumbnail\"><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2019\/02\/john-moeses-bauan-690280-unsplash.jpg\" alt=\"\u6c92\u6709\u968e\u5c64\u7684\u795e\u7d93\u7db2\u8def\u2500ODE net\" width=\"500\" height=\"333\" \/><\/div>\n<\/div>\n<div class=\"entry clr\">\n<div class=\"pf-content\">\n<p><strong>\u7de8\u8b6f\uff0f\u9ec3\u67cf\u744b<\/strong><\/p>\n<p><strong>\u968e\u5c64\u5f0f\u795e\u7d93\u7db2\u8def<\/strong><\/p>\n<p>\u4ee5\u5716\u50cf\u8fa8\u8b58\u70ba\u4f8b\uff0c\u6211\u5011\u53ef\u4ee5\u8f38\u5165\u4e00\u5806\u72d7\u7684\u7167\u7247\uff0c\u8b93\u795e\u7d93\u7db2\u8def\u5f9e\u4e2d\u6478\u7d22\u5171\u540c\u7279\u5fb5\uff0c\u5f9e\u800c\u6210\u70ba\u5224\u65b7\u300c\u5716\u7247\u4e2d\u662f\u5426\u6709\u72d7\u300d\u7684\u4f9d\u64da\u3002\u53ea\u662f\uff0c\u7406\u60f3\u7d42\u7a76\u4e0d\u6575\u73fe\u5be6\u3002\u5728\u771f\u5be6\u4e16\u754c\u4e2d\uff0c\u55ae\u4e00\u7279\u5fb5\u6216\u6a19\u6e96\u5176\u5be6\u4e26\u4e0d\u5920\u56b4\u8b39\uff0c\u6975\u6709\u53ef\u80fd\u5c0e\u81f4\u904e\u9ad8\u7684\u5931\u8aa4\u7387\u3002\u4f8b\u5982\uff0c\u6211\u5011\u4e0d\u80fd\u55ae\u4ee5\u300c\u662f\u5426\u5177\u6709\u8037\u62c9\u7684\u5927\u8033\u6735\u300d\u4f86\u5224\u5b9a\u7167\u7247\u4e2d\u7684\u52d5\u7269\u662f\u5426\u70ba\u72d7\uff0c\u56e0\u70ba\u50cf\u662f\u5409\u5a03\u5a03\u7684\u8033\u6735\u662f\u76f4\u633a\u7684\uff0c\u800c\u5927\u8c61\u7684\u8033\u6735\u537b\u662f\u4e0b\u5782\u7684\uff0c\u985e\u4f3c\u4f8b\u5916\u4e0d\u52dd\u679a\u8209\u3002<\/p>\n<div id=\"attachment_80801\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"size-full wp-image-80801\" src=\"https:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2019\/02\/neural-network.png\" alt=\"\" width=\"1318\" height=\"862\" \/><\/p>\n<p class=\"wp-caption-text\">\u5716\u4e00\u3001\u50b3\u7d71\u968e\u5c64\u5f0f\u795e\u7d93\u7db2\u8def\u3002<\/p>\n<\/div>\n<p>\u70ba\u6b64\uff0c\u96fb\u8166\u79d1\u5b78\u5bb6\u767c\u5c55\u51fa\u300c\u968e\u5c64\u300d\u7684\u6982\u5ff5\uff0c\u7528\u4ee5\u4fee\u6b63\u592a\u904e\u7c97\u7cd9\u7684\u5224\u65b7\u7b56\u7565\u3002\u5982\u5716\u4e00\u6240\u793a\uff0c\u6574\u500b\u7cfb\u7d71\u53ef\u4ee5\u5927\u81f4\u5206\u70ba\u4e09\u5c64\uff1a\u8ca0\u8cac\u63a5\u6536\u5716\u7247\u8cc7\u6599\u7684\u300c\u8f38\u5165\u5c64\u300d\uff08input layer\uff09\u3001\u9032\u884c\u4e00\u9023\u4e32\u5206\u6790\u7684\u300c\u96b1\u85cf\u5c64\u300d\uff08hidden layer\uff09\u4ee5\u53ca\u4f5c\u51fa\u5224\u65b7\u7d50\u679c\u7684\u300c\u8f38\u51fa\u5c64\u300d\uff08output layer\uff09\uff0c\u6574\u500b\u795e\u7d93\u7db2\u8def\u7684\u6838\u5fc3\u4e3b\u8981\u5728\u65bc\u300c\u96b1\u85cf\u5c64\u300d\u3002<\/p>\n<p>\u70ba\u4e86\u6293\u53d6\u66f4\u7d30\u7dfb\u7684\u7279\u5fb5\uff0c\u96b1\u85cf\u5c64\u53ef\u4ee5\u6709\u591a\u500b\u5c64\u6b21\uff0c\u4f8b\u5982\u96b1\u85cf\u7b2c\u4e00\u5c64\uff08hidden layer 1\uff09\u53ef\u4ee5\u4ee5\u7279\u5b9a\u516c\u5f0f\uff0c\u5f9e\u7167\u7247\u4e2d\u6311\u9078\u51fa\u90a3\u4e9b\u8207\u72d7\u6700\u76f8\u95dc\u7684\u50cf\u7d20\uff1b\u63a5\u8457\uff0c\u7b2c\u4e8c\u5c64\uff08hidden layer 2\uff09\u85c9\u7531\u53e6\u4e00\u500b\u516c\u5f0f\uff0c\u7531\u9019\u4e9b\u50cf\u7d20\u4e2d\u5efa\u69cb\u51fa\u4e00\u500b\u66f4\u5177\u9ad4\u7684\u5716\u6a23\uff0c\u4f8b\u5982\u5224\u65b7\u5716\u7247\u4e2d\u7684\u52d5\u7269\u662f\u5426\u9577\u6709\u9b0d\u9b1a\u6216\u8033\u6735\uff1b\u4f9d\u6b64\u985e\u63a8\uff0c\u800c\u5f8c\u6bcf\u4e00\u968e\u5c64\u96a8\u8457\u8a08\u7b97\u8d8a\u7cbe\u7d30\u3001\u8907\u96dc\uff0c\u9010\u6b65\u63a8\u6572\u51fa\u66f4\u7d30\u7dfb\u3001\u5177\u9ad4\u7684\u7279\u5fb5\uff0c\u4e5f\u66f4\u80fd\u7cbe\u78ba\u5224\u65b7\u5716\u4e2d\u751f\u7269\u3002<\/p>\n<p>\u7576\u7136\uff0c\u96b1\u85cf\u5c64\u4e2d\u6bcf\u4e00\u7bc0\u9ede\uff08\u985e\u6bd4\u65bc\u751f\u7269\u795e\u7d93\u7cfb\u7d71\u4e2d\u7684\u55ae\u4e00\u795e\u7d93\u5143\uff09\u9593\u7684\u9023\u7d50\u65b9\u5f0f\uff0c\u4e5f\u6703\u5f71\u97ff\u7cfb\u7d71\u7684\u57f7\u884c\u6548\u7387\u4ee5\u53ca\u61c9\u7528\uff0c\u9020\u5c31\u4e86\u73fe\u4eca\u5404\u5f0f\u5404\u6a23\u7684\u795e\u7d93\u7db2\u8def\uff0c\u5305\u62ec\u8f03\u7c21\u55ae\u7684\u300c\u524d\u994b\u795e\u7d93\u7db2\u8def\u300d\uff08Feedforward neural network\uff0cFNN\uff09\u3001\u300c\u6df1\u5ea6\u795e\u7d93\u7db2\u8def\u300d\uff08Deep Neural Network\uff0cDNN\uff09\u3001\u300c\u5377\u7a4d\u795e\u7d93\u7db2\u8def\u300d\uff08Convolutional neural network\uff0cCNN\uff09\u548c\u300c\u905e\u6b78\u795e\u7d93\u7db2\u8def\u300d\uff08Regression neural network\uff0cRNN\uff09\u7b49\u3002<\/p>\n<p><strong>\u9023\u7e8c\u554f\u984c<\/strong><\/p>\n<p>\u7136\u800c\uff0c\u7576\u6211\u5011\u6240\u8f38\u5165\u7684\u8cc7\u6599\u8207\u6240\u6c42\u7684\u7d50\u679c\u90fd\u662f\u96a8\u6642\u9593\u800c\u9023\u7e8c\u8b8a\u52d5\u6642\uff0c\u50b3\u7d71\u795e\u7d93\u7db2\u8def\u4e2d\u968e\u5c64\u7684\u96e2\u6563\u6027\u537b\u6210\u4e86\u4e00\u5927\u963b\u7919\u3002\u5047\u8a2d\u6211\u5011\u8981\u4ee5\u50b3\u7d71\u795e\u7d93\u7db2\u8def\u9810\u6e2c\u60a3\u8005\u672a\u4f86\u7684\u5065\u5eb7\u72c0\u6cc1\uff0c\u52e2\u5fc5\u5f97\u5c07\u75c5\u6b77\u8cc7\u6599\u4ee5\u5e74\u70ba\u55ae\u4f4d\u4f5c\u5206\u985e\uff0c\u4f46\u9019\u4f7f\u5f97\u300c\u6bcf\u500b\u6708\u770b\u4e00\u6b21\u75c5\u300d\u548c\u300c\u4e00\u5e74\u4e2d\u67d0\u55ae\u6708\u770b\u75c5\u5341\u4e8c\u6b21\u300d\u5c0d\u65bc\u6a5f\u5668\u800c\u8a00\u5176\u5be6\u6beb\u7121\u5dee\u5225\uff0c\u800c\u5c0e\u81f4\u8a55\u4f30\u4e0a\u7684\u8aa4\u5dee\u3002\uff08\u4f60\u6216\u8a31\u8a8d\u70ba\u4ee5\u65e5\u70ba\u55ae\u4f4d\u4fbf\u53ef\u5de7\u5999\u5730\u907f\u514d\u9019\u985e\u554f\u984c\uff0c\u4f46\u96e3\u4fdd\u60a3\u8005\u7684\u75c5\u60c5\u4e0d\u6703\u5728\u77ed\u6642\u9593\u5167\u6025\u907d\u8b8a\u5316\uff0c\u4e00\u5929\u770b\u5169\u3001\u4e09\u6b21\u75c5\uff01\uff09<\/p>\n<div id=\"attachment_80802\" class=\"wp-caption alignright\"><img decoding=\"async\" class=\" wp-image-80802\" src=\"https:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2019\/02\/euler-method.png\" alt=\"\" width=\"343\" height=\"269\" \/><\/p>\n<p class=\"wp-caption-text\">\u5716\u4e8c\u3001\u6b50\u62c9\u65b9\u6cd5\u3002<\/p>\n<\/div>\n<p>\u63db\u500b\u89d2\u5ea6\u601d\u8003\uff0c\u9023\u7e8c\u578b\u7684\u5224\u65b7\u53ef\u88ab\u88fd\u6210\u4e00\u689d\u9023\u7e8c\u66f2\u7dda\uff0c\u800c\u8cc7\u6599\u7684\u96e2\u6563\u5316\u548c\u6578\u503c\u5206\u6790\u7684\u6b50\u62c9\u65b9\u6cd5\uff08Euler method\uff09\u5176\u5be6\u6709\u8457\u7570\u66f2\u540c\u5de5\u4e4b\u5999\u3002\u5148\u4f86\u8aaa\u8aaa\u6b50\u62c9\u65b9\u6cd5\uff0c\u5982\u5716\u4e8c\u6240\u793a\uff0c\u7576\u6211\u5011\u60f3\u8981\u9084\u539f\u85cd\u8272\u7684\u9023\u7e8c\u66f2\u7dda\uff08\u6240\u6c42\uff09\uff0c\u4f46\u50c5\u6709\u8d77\u59cb\u72c0\u614bA<sub>0<\/sub>\u548c\u5fae\u5206\u65b9\u7a0b\u5f0f\u6642\uff0c\u6211\u5011\u53ef\u4ee5\u5148\u627e\u51faA<sub>0<\/sub>\u4e0a\u7684\u5207\u7dda\uff0c\u4e26\u9078\u4e00\u500b\u56fa\u5b9a\u9593\u8ddd\uff08\u0394t\uff09\u5b9a\u51faA<sub>1<\/sub>\uff0c\u518d\u91cd\u8907\u524d\u8ff0\u7684\u52d5\u4f5c\u76f4\u5230\u7d42\u9ede\u3002\u5176\u4e2d\uff0c\u82e5\u7bc0\u9ede\u8d8a\u591a\uff08\u0394t\u8d8a\u5c0f\uff09\uff0c\u8aa4\u5dee\u503c\u5c31\u6703\u8d8a\u5c0f\uff0c\u4e5f\u8d8a\u8cbc\u8fd1\u9810\u671f\u7d50\u679c\u3002<\/p>\n<p>\u4e8b\u5be6\u4e0a\uff0c\u6b50\u62c9\u65b9\u6cd5\u4e2d\u7684\u6bcf\u500b\u6b65\u9a5f\u5c31\u597d\u6bd4\u795e\u7d93\u7cfb\u7d71\u4e2d\u4e0d\u540c\u968e\u5c64\u7684\u5de5\u4f5c\uff0c\u67d0\u76f8\u9130\u7684\u5169\u500b\u7bc0\u9ede\u53ef\u88ab\u8996\u70ba\u67d0\u4e00\u968e\u5c64\u7684\u8f38\u5165\u548c\u8f38\u51fa\u3002\u540c\u7406\uff0c\u5728\u8655\u7406\u9023\u7e8c\u578b\u554f\u984c\u6642\uff0c\u82e5\u795e\u7d93\u7db2\u8def\u7684\u96b1\u85cf\u5c64\u8d8a\u539a\uff0c\u6216\u5c07\u6642\u9593\u6bb5\u5207\u5f97\u8d8a\u7d30\uff0c\u6240\u5f97\u5230\u7684\u8aa4\u5dee\u5c31\u6703\u8d8a\u5c0f\uff0c\u7d50\u679c\u7684\u50f9\u503c\u4e5f\u6703\u8d8a\u9ad8\uff1b\u4e0d\u904e\uff0c\u9019\u4e5f\u8868\u793a\u82e5\u8981\u9054\u5230\u767e\u5206\u4e4b\u767e\u7cbe\u78ba\uff0c\u6211\u5011\u9700\u8981\u7121\u9650\u591a\u7684\u96b1\u85cf\u968e\u5c64\u3002<\/p>\n<p>\u70ba\u6b64\uff0c\u591a\u502b\u591a\u5927\u5b78Duvenaud\u6559\u6388\u548c\u7814\u7a76\u5925\u4f34\u91cd\u65b0\u8a2d\u8a08\u539f\u5148\u7684\u795e\u7d93\u7cfb\u7d71\uff0c\u6368\u68c4\u539f\u6709\u7684\u300c\u968e\u5c64\u300d\u6982\u5ff5\uff0c\u8f49\u800c\u9078\u64c7\u89e3\u6c7a\u6975\u9650\u548c\u7121\u7aae\u554f\u984c\u7684\u5229\u5668\u2014\u5fae\u7a4d\u5206\uff0c\u4ee5\u89e3\u6c7a\u96e2\u6563\u5316\u7684\u554f\u984c\u3002\u672c\u8cea\u4e0a\u4f86\u8aaa\uff0c\u5fae\u7a4d\u5206\u5c31\u662f\u4e00\u9580\u7814\u7a76\u8b8a\u5316\u7684\u5b78\u554f\uff0c\u56e0\u6b64\u82e5\u6211\u5011\u5c07\u8f38\u5165\u7684\u8cc7\u6599\u8f49\u70ba\u5e38\u5fae\u7a4d\u5206\u65b9\u7a0b\uff0c\u518d\u5c0b\u627e\u51fa\u6bd4\u6b50\u62c9\u65b9\u6cd5\u66f4\u6709\u6548\u3001\u66f4\u7cbe\u6e96\u7684\u5de5\u5177\u4f86\u4f30\u7b97\u672a\u77e5\u7684\u65b9\u7a0b\u5f0f\uff0c\u4fbf\u53ef\u63d0\u5347\u4eba\u5de5\u667a\u6167\u7684\u6548\u80fd\u00ad\u00ad\u3002<\/p>\n<p><strong>ODE net<\/strong><\/p>\n<p>\u9019\u985e\u7684\u8a2d\u8a08\u96d6\u65e9\u5df2\u64fa\u812b\u300c\u7db2\u8def\u300d\u7684\u6982\u5ff5\uff0c\u4f46\u57fa\u65bc\u50b3\u7d71\u8003\u91cf\uff0c\u7814\u7a76\u4eba\u54e1\u9084\u662f\u5c07\u5176\u540d\u70ba\u300c\u5e38\u5fae\u5206\u65b9\u7a0b\u7db2\u8def\u300d\uff08Ordinary Differential Equation net\uff0cODE net\uff09\u3002<\/p>\n<p>\u4e00\u500b\u66f4\u5e73\u6613\u8fd1\u4eba\u4e9b\u7684\u4f8b\u5b50\uff0c\u9019\u5c31\u50cf\u5c0f\u63d0\u7434\u8207\u92fc\u7434\u9593\u7684\u5dee\u7570\uff1a\u5c0f\u63d0\u7434\u4f5c\u70ba\u5f26\u6a02\u5668\uff0c\u7406\u8ad6\u4e0a\u53ef\u4ee5\u62c9\u51fa\u97f3\u57df\u7bc4\u570d\u5167\u4efb\u4f55\u983b\u7387\u7684\u97f3\uff0c\u8f15\u6613\u5c55\u73fe\u6ed1\u97f3\uff1b\u4f46\u767c\u8072\u539f\u7406\u8f03\u63a5\u8fd1\u6572\u64ca\u6a02\u5668\u7684\u92fc\u7434\uff0c\u537b\u53ea\u80fd\u76e1\u529b\u6a21\u64ec\u6ed1\u97f3\u6548\u679c\uff0c\u97f3\u7b26\u9593\u4ecd\u9084\u662f\u300c\u7c92\u7c92\u5206\u660e\u300d\u3002\u7531\u50b3\u7d71\u5206\u5c64\u795e\u7d93\u7db2\u8def\u5230ODE net\u7684\u6f14\u9032\uff0c\u5c31\u50cf\u628a\u92fc\u7434\u63db\u6210\u5c0f\u63d0\u7434\u3002\u55ae\u5c31\u9023\u7e8c\u554f\u984c\u800c\u8a00\uff0cODE net\u66f4\u5177\u524d\u77bb\u6027\u3002<\/p>\n<p>\u53e6\u5916\uff0c ODE net\u7684\u8a13\u7df4\u65b9\u5f0f\u4e5f\u6709\u6240\u4e0d\u540c\u3002\u7576\u6211\u5011\u5728\u8a13\u7df4\u50b3\u7d71\u795e\u7d93\u7db2\u8def\u6642\uff0c\u53ef\u4ee5\u5728\u958b\u59cb\u4e4b\u524d\u6307\u5b9a\u968e\u5c64\u6578\u76ee\uff0c\u4e26\u5728\u7d50\u675f\u5f8c\u5f97\u77e5\u6e96\u78ba\u5ea6\uff1b\u4f46\u5728\u8a13\u7df4ODE net\u4e4b\u524d\uff0c\u6211\u5011\u80fd\u6307\u5b9a\u7684\u537b\u662f\u6a21\u578b\u7684\u6e96\u78ba\u5ea6\uff0c\u4e26\u4f9d\u6b64\u627e\u51fa\u6700\u6709\u6548\u7387\u7684\u65b9\u5f0f\u9032\u884c\u8a13\u7df4\uff0c\u800c\u4ee3\u50f9\u662f\u6211\u5011\u7121\u6cd5\u77e5\u66c9\u8a13\u7df4\u6240\u9700\u7684\u6642\u9593\u9577\u5ea6\uff0c\u9019\u4e5f\u662f\u5c07\u4f86\u9078\u64c7\u6b64\u6cd5\u6642\uff0c\u9700\u8981\u614e\u91cd\u8003\u91cf\u548c\u659f\u914c\u7684\u90e8\u5206\u3002<\/p>\n<p>ODE net\u76ee\u524d\u53ea\u662f\u57fa\u672c\u67b6\u69cb\uff0c\u4ecd\u5f85\u5f8c\u7e8c\u7814\u7a76\u70ba\u5176\u6dfb\u4e0a\u8840\u8089\u3002\u5373\u4f7f\u5982\u6b64\uff0c\u4f5c\u70ba\u300c\u6642\u5e8f\u6a21\u578b\u300d\uff08time-series model\uff09\u61c9\u7528\u65bc\u5982\u4fdd\u5065\u91ab\u7642\u9818\u57df\u4e0a\uff0cODE net\u7684\u524d\u666f\u4ecd\u4ee4\u4eba\u62ed\u76ee\u4ee5\u5f85\u3002<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u7de8\u8b6f\u4f86\u6e90<\/strong><\/p>\n<p>K. Hao, \u201c<a href=\"https:\/\/www.technologyreview.com\/s\/612561\/a-radical-new-neural-network-design-could-overcome-big-challenges-in-ai\/\">A radical new neural network design could overcome big challenges in AI<\/a>\u201d, MIT Technology Review, 12 Dec 2018.<\/p>\n<p><strong>\u53c3\u8003\u8cc7\u6599<\/strong><\/p>\n<p>A. Colyer, \u201c<a href=\"https:\/\/blog.acolyer.org\/2019\/01\/09\/neural-ordinary-differential-equations\/\">Neural Ordinary Differential Equations<\/a>\u201d, The Morning Paper, 9 Jan 2019.<\/p>\n<p>(\u672c\u6587\u7531\u6559\u80b2\u90e8\u88dc\u52a9\u300cAI\u5831\u5831\u2500AI\u79d1\u666e\u63a8\u5ee3\u8a08\u756b\u300d\u57f7\u884c\u5718\u968a\u7de8\u8b6f)<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u4fdd\u5065\u91ab\u7642\uff0c\u5c24\u5176\u60a3\u8005\u5065\u5eb7\u72c0\u6cc1\u7684\u9577\u671f\u8ffd\u8e64\uff0c\u4e5f\u662fAI\u7684\u4e00\u5927\u61c9\u7528\u9818\u57df\u3002\u53ea\u662f\uff0c\u75c5\u6b77\u96d6\u53ef\u4f5c\u70ba\u500b\u4eba\u7684\u5065\u5eb7\u8cc7\u6599\u5eab\uff0c\u4f46\u751f\u75c5\u3001\u5c31\u8a3a\u7684\u6642\u9593\u7121\u6cd5\u638c\u63e1\uff0c\u6709\u6642\u5019\u4e00\u5929\u5169\u6b21\uff0c\u6709\u6642\u5019\u5169\u5e74\u624d\u770b\u4e00\u6b21\u91ab\u5e2b\uff0c\u8cc7\u6599\u9ede\u7684\u6563\u5e03\u986f\u5f97\u51cc\u4e82\u4e14\u96a8\u6a5f\uff0c\u800c\u5065\u5eb7\u72c0\u6cc1\u537b\u662f\u9023\u7e8c\u7684\u8b8a\u5316\uff0c\u9019\u985e\u7684\u9023\u7e8c\u6027\u554f\u984c\uff0c\u50b3\u7d71\u968e\u5c64\u5f0f\u795e\u7d93\u7db2\u8def\u986f\u7136\u96e3\u4ee5\u62db\u67b6\u3002<\/p>\n","protected":false},"author":21,"featured_media":38915,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3772,3293],"tags":[6065,1229,6066,6067],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2022\/01\/john-moeses-bauan-690280-unsplash.jpg","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/38914"}],"collection":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/users\/21"}],"replies":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=38914"}],"version-history":[{"count":1,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/38914\/revisions"}],"predecessor-version":[{"id":38916,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/38914\/revisions\/38916"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/media\/38915"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=38914"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=38914"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=38914"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}