{"id":122989,"date":"2026-11-06T05:24:45","date_gmt":"2026-11-05T21:24:45","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/122989.html"},"modified":"2026-11-06T05:24:45","modified_gmt":"2026-11-05T21:24:45","slug":"%e7%ac%ac%e5%8d%81%e4%ba%94%e7%ab%a0-%e4%ba%ba%e5%b7%a5%e6%99%ba%e8%83%bd%e5%9f%ba%e7%a1%80","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/122989.html","title":{"rendered":"\u7b2c\u5341\u4e94\u7ae0 \u4eba\u5de5\u667a\u80fd\u57fa\u7840"},"content":{"rendered":"

\u7b2c\u5341\u4e94\u7ae0 \u4eba\u5de5\u667a\u80fd\u57fa\u7840<\/h2>\n

\u7b2c\u5341\u56db\u7ae0\u8bb2\u5b8c STL，C++ \u7684\u5e38\u7528\u62db\u5f0f\u57fa\u672c\u9f50\u4e86\u3002\u672c\u7ae0\u4e0d\u5b66\u65b0\u8bed\u6cd5，\u62ff\u524d\u5341\u56db\u7ae0\u7684\u4e1c\u897f\u62fc\u4e2a\u4f1a\u81ea\u5df1\u957f\u672c\u4e8b\u7684\u7a0b\u5e8f\u3002\u4e0a\u7ae0\u7ed3\u5c3e\u6392\u7684\u662f\u5f02\u5e38\u5904\u7406，\u90a3\u7ae0\u5f80\u540e\u653e\u4e00\u7ad9，\u5148\u4e86\u4e86\u5b66\u59d4\u8fd9\u6869\u4e8b\u3002<\/p>\n

1. \u4ece\u751f\u7269\u795e\u7ecf\u5143\u5230\u611f\u77e5\u5668<\/h3>\n

1.1 \u751f\u7269\u795e\u7ecf\u5143\u90a3\u70b9\u4e8b<\/h4>\n

\u5927\u8111\u91cc\u7ba1\u601d\u8003\u7684\u7ec6\u80de\u53eb\u795e\u7ecf\u5143，\u4e00\u4e2a\u795e\u7ecf\u5143\u957f\u8fd9\u4e48\u526f\u6a21\u6837\u3002\u4e00\u5806\u6811\u7a81\u4f38\u51fa\u53bb\u6536\u4fe1\u53f7，\u50cf\u6811\u679d\u5206\u53c9\u3002\u4fe1\u53f7\u6c47\u5230\u7ec6\u80de\u4f53，\u6512\u591f\u5206\u91cf\u5c31\u5174\u594b\u3002\u8f74\u7a81\u628a\u5174\u594b\u4f20\u51fa\u53bb，\u4ea4\u7ed9\u4e0b\u4e00\u4e2a\u795e\u7ecf\u5143\u7684\u6811\u7a81\u3002\u6811\u7a81\u548c\u8f74\u7a81\u63a5\u5934\u7684\u5730\u65b9，\u53eb\u7a81\u89e6\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u5148\u770b\u771f\u7684\u795e\u7ecf\u5143 \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 \u6811\u7a81\u6536\u4fe1\u53f7，\u8f74\u7a81\u4f20\u4fe1\u53f7 \u2502
\n\u2502 \u2502
\n\u2502 \u6811\u7a81 x1 \u2500\u2500\u2510 \u2502
\n\u2502 \u6811\u7a81 x2 \u2500\u2500\u253c\u2500\u2500> \u7ec6\u80de\u4f53 \u2500\u2500> \u8f74\u7a81 \u2500\u2500> \u4e0b\u6e38\u795e\u7ecf\u5143 \u2502
\n\u2502 \u6811\u7a81 xn \u2500\u2500\u2518 \u6512\u591f\u9608\u503c \u628a\u4fe1\u53f7\u4f20\u51fa\u53bb \u2502
\n\u2502 \u5c31\u5174\u594b \u2502
\n\u2502 \u2502
\n\u2502 \u7a81\u89e6\u662f\u8fde\u63a5\u70b9，\u5f3a\u5ea6\u53ef\u5927\u53ef\u5c0f \u2502
\n\u2502 \u5b66\u4e60\u4e0d\u6539\u7ebf\u8def，\u6539\u7684\u662f\u7a81\u89e6\u5f3a\u5ea6 \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

\u5173\u952e\u5728\u7a81\u89e6\u3002\u4e24\u4e2a\u795e\u7ecf\u5143\u4e4b\u95f4\u7684\u8fde\u63a5\u5f3a\u5ea6\u662f\u53ef\u53d8\u7684，\u6709\u7684\u7a81\u89e6\u4e00\u78b0\u5c31\u71c3，\u6709\u7684\u4f7f\u52b2\u634f\u4e5f\u4e0d\u51fa\u58f0\u3002\u5927\u8111\u5b66\u65b0\u4e1c\u897f，\u9760\u7684\u4e0d\u662f\u91cd\u65b0\u63a5\u7ebf，\u662f\u52a0\u5f3a\u8be5\u52a0\u5f3a\u7684\u7a81\u89e6，\u51cf\u5f31\u8be5\u51cf\u5f31\u7684\u3002\u5a74\u513f\u5b66\u8d70\u8def\u662f\u8fd9\u4e48\u5b66\u7684，\u4eba\u5b66 C++ \u4e5f\u662f\u8fd9\u4e48\u5b66\u7684，\u7ec3\u8fc7\u7684\u62db\u5fd8\u4e0d\u6389，\u6ca1\u78b0\u8fc7\u7684\u62db\u751f\u758f\u30021943 \u5e74，McCulloch \u548c Pitts \u628a\u8fd9\u5957\u673a\u5236\u5199\u6210\u4e86\u6570\u5b66\u5f0f\u5b50，\u672c\u7ae0\u8981\u7528\u7684\u5c31\u662f\u5b83\u3002<\/p>\n

1.2 \u6570\u5b66\u6a21\u578b\u3001\u52a0\u6743\u6c42\u548c\u52a0\u6fc0\u6d3b<\/h4>\n

\u6570\u5b66\u7248\u957f\u8fd9\u6837\u3002\u6811\u7a81\u6536\u5230\u7684\u4fe1\u53f7\u53eb\u8f93\u5165，\u4e00\u4e2a\u795e\u7ecf\u5143\u6709\u591a\u4e2a\u8f93\u5165，\u8bb0\u4f5c x1 \u5230 xn\u3002\u7a81\u89e6\u5f3a\u5ea6\u53eb\u6743\u91cd，\u8bb0\u4f5c w1 \u5230 wn，\u8f93\u5165\u8d8a\u8981\u7d27，\u6743\u91cd\u8d8a\u5927\u3002\u7ec6\u80de\u4f53\u6512\u5206\u91cf\u8fd9\u4ef6\u4e8b，\u5c31\u662f\u52a0\u6743\u6c42\u548c，\u6bcf\u4e2a\u8f93\u5165\u4e58\u81ea\u5df1\u7684\u6743\u91cd，\u518d\u52a0\u8d77\u6765\u3002\u8f74\u7a81\u90a3\u4e00\u5200\u5207，\u53eb\u6fc0\u6d3b\u51fd\u6570，\u603b\u548c\u8fc7\u4e86\u5173\u53e3\u8f93\u51fa 1，\u6ca1\u8fc7\u8f93\u51fa 0\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u795e\u7ecf\u5143\u7684\u6570\u5b66\u6a21\u578b \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 \u751f\u7269\u90a3\u5957，\u7ffb\u8bd1\u6210\u6570\u5b66 \u2502
\n\u2502 \u2502
\n\u2502 \u8f93\u5165 x1 x2 … xn \u6811\u7a81\u6536\u5230\u7684\u4fe1\u53f7 \u2502
\n\u2502 \u6743\u91cd w1 w2 … wn \u7a81\u89e6\u5f3a\u5ea6 \u2502
\n\u2502 \u504f\u7f6e b \u9608\u503c\u642c\u4e2a\u5bb6 \u2502
\n\u2502 \u2502
\n\u2502 z = w1*x1 + w2*x2 + … + wn*xn + b \u2502
\n\u2502 \u2502
\n\u2502 z >= 0 \u8f93\u51fa 1，\u5426\u5219\u8f93\u51fa 0 \u2502
\n\u2502 \u8fd9\u4e00\u6b65\u53eb\u6fc0\u6d3b\u51fd\u6570，\u611f\u77e5\u5668\u7528\u9636\u8dc3 \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

\u6fc0\u6d3b\u51fd\u6570\u7528\u9636\u8dc3，\u56fe\u957f\u8fd9\u6837\u3002\u8d1f\u534a\u8f74\u4e00\u5f8b 0，0 \u8fd9\u4e00\u70b9\u7ffb\u4e0a\u53bb，\u6b63\u534a\u8f74\u4e00\u5f8b 1\u3002\u7c97\u7cd9，\u4f46\u611f\u77e5\u5668\u5c31\u9760\u5b83\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u6fc0\u6d3b\u51fd\u6570\u7528\u9636\u8dc3 \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 \u9636\u8dc3\u51fd\u6570，\u4e00\u5200\u5207 \u2502
\n\u2502 \u2502
\n\u2502 y \u2502
\n\u2502 1 \u2524 \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2502
\n\u2502 \u2502 \u2502 \u2502
\n\u2502 0 \u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518 \u2502
\n\u2502 \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500> z \u2502
\n\u2502 \u8d1f 0 \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

\u504f\u7f6e b \u662f\u6c42\u548c\u4e4b\u540e\u52a0\u7684\u4e00\u4e2a\u5e38\u6570，\u6b63\u8d1f\u53ef\u8c03\u3002\u6743\u91cd\u7ba1\u5404\u8f93\u5165\u7684\u5206\u91cf，\u504f\u7f6e\u7ba1\u603b\u95e8\u69db，\u4e24\u6837\u51d1\u4e00\u8d77，\u624d\u6446\u5f97\u51c6\u4e00\u5200\u5207\u7684\u4f4d\u7f6e\u3002<\/p>\n

\u7528 C++ \u5199\u8fd9\u4e2a\u795e\u7ecf\u5143，\u4e00\u4e2a struct \u5c31\u591f\u3002\u4e24\u4e2a\u6743\u91cd\u4e00\u4e2a\u504f\u7f6e\u662f\u6570\u636e，feedforward \u662f\u51fd\u6570，\u7b2c\u4e5d\u7ae0 struct \u7684\u8001\u7528\u6cd5\u3002<\/p>\n

#include <iostream>
\nusing namespace std;<\/p>\n

struct Neuron {
\n double w[2];
\n double b;<\/p>\n

int feedforward(double x1, double x2) {
\n double z = w[0] * x1 + w[1] * x2 + b;
\n return z >= 0 ? 1 : 0;
\n }
\n};<\/p>\n

int main() {
\n double x[4][2] = { {0, 0}, {0, 1}, {1, 0}, {1, 1} };
\n Neuron andGate;
\n andGate.w[0] = 1.0;
\n andGate.w[1] = 1.0;
\n andGate.b = -1.5;
\n cout << "AND \u95e8" << endl;
\n for (int i = 0; i < 4; i++) {
\n cout << " (" << x[i][0] << ", " << x[i][1] << ") \u5f97 "
\n << andGate.feedforward(x[i][0], x[i][1]) << endl;
\n }
\n Neuron orGate;
\n orGate.w[0] = 1.0;
\n orGate.w[1] = 1.0;
\n orGate.b = -0.5;
\n cout << "OR \u95e8" << endl;
\n for (int i = 0; i < 4; i++) {
\n cout << " (" << x[i][0] << ", " << x[i][1] << ") \u5f97 "
\n << orGate.feedforward(x[i][0], x[i][1]) << endl;
\n }
\n return 0;
\n}<\/p>\n

AND \u95e8\u8f93\u51fa 0 0 0 1，\u4e24\u4e2a\u90fd\u71c3\u624d\u71c3\u3002\u504f\u7f6e\u4ece -1.5 \u632a\u5230 -0.5，\u6743\u91cd\u4e0d\u52a8，\u8f93\u51fa\u53d8\u6210 0 1 1 1，OR \u95e8\u3002\u4e00\u4e2a\u795e\u7ecf\u5143，\u6446\u5bf9\u6743\u91cd\u548c\u504f\u7f6e，\u5c31\u80fd\u8868\u793a\u903b\u8f91\u95e8\u3002\u8fd9\u4e5f\u662f\u7b2c\u5341\u7ae0\u90a3\u53e5\u8001\u8bdd，\u5bf9\u8c61\u91cc\u653e\u6570\u636e\u653e\u51fd\u6570，\u6570\u636e\u548c\u51fd\u6570\u51d1\u4e00\u5bf9，\u4e8b\u5c31\u6210\u4e86\u3002<\/p>\n

1.3 \u611f\u77e5\u5668\u3001\u4e00\u5c42\u6743\u91cd\u76f4\u901a\u8f93\u51fa<\/h4>\n

1957 \u5e74，Rosenblatt \u628a\u795e\u7ecf\u5143\u62fc\u6210\u4e86\u4e00\u53f0\u673a\u5668，\u53eb\u611f\u77e5\u5668\u3002\u8f93\u5165\u76f4\u8fde\u8f93\u51fa，\u4e2d\u95f4\u6ca1\u6709\u5c42，\u6240\u4ee5\u53eb\u5355\u5c42\u611f\u77e5\u5668\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u611f\u77e5\u5668\u957f\u8fd9\u6837 \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 \u4e0a\u4e16\u7eaa\u7684\u8001\u8bbe\u8ba1，\u7528\u5230\u73b0\u5728 \u2502
\n\u2502 \u2502
\n\u2502 x1 \u2500\u2500w1\u2500\u2500\u2510 \u2502
\n\u2502 x2 \u2500\u2500w2\u2500\u2500\u253c\u2500\u2500> \u52a0\u6743\u6c42\u548c z \u2500\u2500> \u9636\u8dc3 \u2500\u2500> y \u2502
\n\u2502 1 \u2500\u2500b\u2500\u2500\u2500\u2518 \u2502
\n\u2502 \u2502
\n\u2502 \u6743\u91cd\u4e00\u5c42，\u76f4\u901a\u8f93\u51fa \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

\u73b0\u5728\u7684\u611f\u77e5\u5668\u65e9\u4e0d\u662f\u4e00\u53f0\u673a\u5668\u4e86，\u5c31\u662f\u4e0a\u9762\u90a3\u4e2a Neuron \u52a0\u4e00\u6bb5\u8bad\u7ec3\u4ee3\u7801\u3002\u9aa8\u67b6\u6ca1\u53d8，\u8f93\u5165\u6a2a\u6392，\u6bcf\u4e2a\u8f93\u5165\u914d\u4e00\u4e2a\u6743\u91cd，\u6c47\u603b，\u8fc7\u6fc0\u6d3b，\u51fa\u4e00\u4e2a\u6570\u3002<\/p>\n

\u611f\u77e5\u5668\u7684\u672c\u4e8b，\u8bf4\u5230\u5e95\u662f\u753b\u4e00\u6761\u76f4\u7ebf\u3002\u4e24\u4e2a\u8f93\u5165\u65f6，\u5224\u5b9a\u8fb9\u754c\u662f\u5e73\u9762\u4e0a\u4e00\u6761\u7ebf\u3002\u4e09\u4e2a\u8f93\u5165\u65f6，\u662f\u7a7a\u95f4\u91cc\u4e00\u5f20\u5e73\u9762\u3002\u7ebf\u7684\u4e00\u8fb9\u5224 1，\u53e6\u4e00\u8fb9\u5224 0\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u7ebf\u6027\u53ef\u5206 \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 \u4e00\u6761\u76f4\u7ebf，\u628a\u4e24\u7c7b\u6837\u672c\u5206\u5f00 \u2502
\n\u2502 \u2502
\n\u2502 o (0, 3) \u2502 + (3, 3) \u2502
\n\u2502 o (0, 1) \u2502 + (3, 1) \u2502
\n\u2502 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500> x1 \u2502
\n\u2502 \u6807\u7b7e 0 \u2502 \u6807\u7b7e 1 \u2502
\n\u2502 \u2502
\n\u2502 \u76f4\u7ebf\u5de6\u8fb9\u4e00\u5f8b 0，\u53f3\u8fb9\u4e00\u5f8b 1 \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

\u50cf\u8fd9\u6837\u4e00\u6761\u7ebf\u80fd\u628a\u4e24\u7c7b\u6837\u672c\u5206\u5f00\u7684，\u53eb\u7ebf\u6027\u53ef\u5206\u3002AND \u95e8\u7ebf\u6027\u53ef\u5206，OR \u95e8\u4e5f\u7ebf\u6027\u53ef\u5206，1.2 \u8282\u90a3\u4e24\u5957\u624b\u6446\u6743\u91cd\u5c31\u662f\u8bc1\u636e\u3002\u5f02\u6216\u4e0d\u884c，\u8fd9\u4e2a\u5751 2.5 \u8282\u4e13\u95e8\u649e\u3002<\/p>\n

1.4 \u6743\u91cd\u80fd\u624b\u6446，\u7136\u540e\u5462<\/h4>\n

\u56de\u5934\u770b AND \u95e8\u90a3\u5957\u6743\u91cd，w1 \u548c w2 \u90fd\u53d6 1，\u504f\u7f6e -1.5，\u56db\u4e2a\u6837\u672c\u5168\u5224\u5bf9\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u5148\u6446\u4e00\u5957\u770b\u770b \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 AND \u95e8，\u5148\u624b\u6446\u4e00\u5957\u6743\u91cd \u2502
\n\u2502 \u2502
\n\u2502 +——–+——–+——–+ \u2502
\n\u2502 |x1 |x2 |t | \u2502
\n\u2502 +——–+——–+——–+ \u2502
\n\u2502 |0 |0 |0 | \u2502
\n\u2502 |0 |1 |0 | \u2502
\n\u2502 |1 |0 |0 | \u2502
\n\u2502 |1 |1 |1 | \u2502
\n\u2502 +——–+——–+——–+ \u2502
\n\u2502 \u2502
\n\u2502 \u53d6 w1 = 1，w2 = 1，b = -1.5 \u2502
\n\u2502 \u56db\u4e2a\u6837\u672c\u5168\u5224\u5bf9 \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

\u6362\u4e2a OR \u95e8，\u504f\u7f6e\u5f97\u632a\u5230 -0.5\u3002\u8981\u662f\u5341\u4e2a\u8f93\u5165，\u6743\u91cd\u6709\u5341\u4e2a\u6570\u8981\u6446，\u6446\u6cd5\u8fd8\u8bf4\u4e0d\u6e05\u6709\u4ec0\u4e48\u89c4\u5f8b\u3002\u6570\u636e\u53d8\u6210\u4e09\u5343\u4efd\u6210\u7ee9\u5355，\u624b\u6446\u5230\u7334\u5e74\u9a6c\u6708\u3002<\/p>\n

\u95ee\u9898\u8fd9\u5c31\u9732\u5934\u4e86\u3002\u611f\u77e5\u5668\u80fd\u8868\u793a AND，\u53ef\u8c01\u6765\u8868\u793a\u611f\u77e5\u5668\u3002\u7b54\u6848\u662f\u8ba9\u6570\u636e\u6765\u8868\u793a\u3002\u6743\u91cd\u4e0d\u8be5\u624b\u6446，\u8be5\u4ece\u6837\u672c\u91cc\u5b66\u51fa\u6765\u3002\u7b2c 2 \u8282\u8bb2\u600e\u4e48\u5b66\u3002<\/p>\n

2. \u6a21\u578b\u8bad\u7ec3\u7b97\u6cd5<\/h3>\n

2.1 \u76d1\u7763\u5b66\u4e60\u4e09\u4ef6\u5957<\/h4>\n

\u8ba9\u673a\u5668\u5b66\u672c\u4e8b，\u5f97\u5148\u51d1\u9f50\u4e09\u6837\u4e1c\u897f\u3002<\/p>\n

\u5934\u4e00\u6837\u662f\u6837\u672c\u3002\u6bcf\u4e2a\u6837\u672c\u5206\u4e24\u534a，\u7279\u5f81\u548c\u6807\u7b7e\u3002\u7279\u5f81\u662f\u8f93\u5165，\u6302\u79d1\u9884\u6d4b\u91cc\u5c31\u662f\u4f5c\u4e1a\u5206\u548c\u6708\u8003\u5206\u3002\u6807\u7b7e\u662f\u6807\u51c6\u7b54\u6848，\u6302\u662f 1，\u4e0d\u6302\u662f 0\u3002\u4e09\u5341\u4efd\u6210\u7ee9\u5355\u914d\u4e09\u5341\u4e2a\u7b54\u6848，\u5c31\u662f\u6837\u672c\u96c6\u3002<\/p>\n

\u7b2c\u4e8c\u6837\u662f\u6a21\u578b\u3002\u672c\u4f8b\u5b50\u7684\u6a21\u578b\u5c31\u662f\u611f\u77e5\u5668，y \u662f\u5b83\u7167\u7740\u7279\u5f81\u7b97\u51fa\u6765\u7684\u5224\u65ad\u3002\u6a21\u578b\u91cc\u5e26\u53c2\u6570，\u6743\u91cd\u548c\u504f\u7f6e，\u5b66\u4e1c\u897f\u5b66\u7684\u5c31\u662f\u5b83\u4eec\u3002<\/p>\n

\u7b2c\u4e09\u6837\u662f\u635f\u5931\u3002\u635f\u5931\u8861\u91cf\u6a21\u578b\u73b0\u5728\u6709\u591a\u9519\u3002\u611f\u77e5\u5668\u7684\u635f\u5931\u5f88\u6734\u7d20，\u6570\u4e00\u6570\u5206\u9519\u7684\u6837\u672c\u6709\u51e0\u4e2a，\u9519\u5f97\u8d8a\u591a\u635f\u5931\u8d8a\u5927\u3002<\/p>\n

\u8bad\u7ec3\u5c31\u662f\u628a\u635f\u5931\u5f80 0 \u8d76\u3002\u8d76\u7684\u6cd5\u5b50\u662f\u5f80\u9519\u8bef\u7684\u53cd\u65b9\u5411\u8fc8\u4e00\u5c0f\u6b65，\u54ea\u9519\u4e86\u6539\u54ea\u3002\u611f\u77e5\u5668\u7528\u7684\u6b65\u6cd5，\u53eb\u611f\u77e5\u5668\u5b66\u4e60\u89c4\u5219，2.2 \u8282\u5c55\u5f00\u3002<\/p>\n

\u771f\u8981\u6269\u5c55，\u628a Perceptron \u4f9b\u5728\u57fa\u7c7b\u91cc，SVM\u3001\u51b3\u7b56\u6811\u5404\u6d3e\u751f\u4e00\u4efd，\u57fa\u7c7b\u6307\u9488\u6570\u7ec4\u4e00\u5faa\u73af，\u7b2c\u5341\u4e8c\u7ae0\u90a3\u5957\u591a\u6001\u76f4\u63a5\u80fd\u7528\u3002\u672c\u7ae0\u5355\u7ebf\u4f5c\u6218，\u4e0d\u94fa\u5f00\u3002<\/p>\n

2.2 \u611f\u77e5\u5668\u5b66\u4e60\u89c4\u5219<\/h4>\n

\u89c4\u5219\u4e00\u884c\u3002\u5bf9\u6bcf\u4e2a\u6837\u672c，\u5148\u7b97 y，\u62ff y \u548c\u6807\u7b7e t \u5bf9\u7b54\u6848\u3002\u731c\u5bf9\u4e86，\u6743\u91cd\u539f\u6837\u4e0d\u52a8\u3002\u731c\u9519\u4e86，\u5f80\u6b63\u786e\u65b9\u5411\u63a8\u4e00\u628a，w \u53d8\u6210 w \u52a0\u4e0a \u5b66\u4e60\u7387\u3001\u8bef\u5dee\u3001\u8f93\u5165 \u4e09\u8005\u7684\u4e58\u79ef，\u5176\u4e2d\u8bef\u5dee\u662f t \u51cf y\u3002\u504f\u7f6e\u540c\u7406，\u52a0\u5b66\u4e60\u7387\u4e58\u8bef\u5dee\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u731c\u9519\u624d\u52a8\u624b \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 \u66f4\u65b0\u89c4\u5219\u7684\u4e09\u5f20\u9762\u5b54 \u2502
\n\u2502 \u2502
\n\u2502 +———-+——–+————–+————+ \u2502
\n\u2502 |\u60c5\u51b5 |t \u5bf9 y |\u6743\u91cd\u600e\u4e48\u52a8 |\u4eba\u8bdd | \u2502
\n\u2502 +———-+——–+————–+————+ \u2502
\n\u2502 |\u731c\u5c0f\u4e86 |1 \u5bf9 0 |\u5f80\u8f93\u5165\u65b9\u5411\u52a0 |\u8be5\u71c3\u6ca1\u71c3 | \u2502
\n\u2502 |\u731c\u5927\u4e86 |0 \u5bf9 1 |\u5f80\u53cd\u65b9\u5411\u51cf |\u4e0d\u8be5\u71c3\u778e\u71c3 | \u2502
\n\u2502 |\u731c\u5bf9\u4e86 |\u4e00\u6837 |\u539f\u5730\u4e0d\u52a8 |\u4e0d\u6539\u5377\u5b50 | \u2502
\n\u2502 +———-+——–+————–+————+ \u2502
\n\u2502 \u2502
\n\u2502 \u516c\u5f0f\u4e00\u884c，w \u5f80 t \u51cf y \u7684\u65b9\u5411\u8d70 \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

\u4e09\u79cd\u9762\u5b54\u3002\u731c\u5c0f\u4e86，\u6807\u7b7e 1 \u8f93\u51fa 0，\u6743\u91cd\u5f80\u8f93\u5165\u65b9\u5411\u52a0，\u7ed9\u8fd9\u6761\u8bc1\u636e\u52a0\u7801\u3002\u731c\u5927\u4e86，\u6807\u7b7e 0 \u8f93\u51fa 1，\u5f80\u53cd\u65b9\u5411\u51cf，\u7ed9\u8fd9\u6761\u8bc1\u636e\u964d\u6e29\u3002\u731c\u5bf9\u4e86\u4e0d\u52a8，\u5bf9\u7b54\u6848\u4e0d\u6539\u5377\u5b50\u3002\u504f\u7f6e\u7684\u8f93\u5165\u6052\u7b49\u4e8e 1，\u6240\u4ee5\u5b83\u6bcf\u6b21\u90fd\u8ddf\u7740\u8bef\u5dee\u8d70，\u4e0d\u504f\u98df\u3002<\/p>\n

\u5b66\u4e60\u7387\u662f\u6b65\u5b50\u5927\u5c0f\u3002\u6b65\u5b50\u5927\u5b66\u5f97\u5feb，\u5bb9\u6613\u51b2\u8fc7\u5934\u3002\u6b65\u5b50\u5c0f\u5b66\u5f97\u7a33，\u5c31\u662f\u632a\u5f97\u6162\u3002\u5148\u53d6 0.1，\u5e38\u89c1\u8d77\u70b9\u3002<\/p>\n

\u5355\u624b\u63a8\u4e00\u4e2a\u6837\u672c\u3002\u6743\u91cd\u548c\u504f\u7f6e\u90fd\u662f 0，\u5b66\u4e60\u7387 0.1，\u6837\u672c (1, 1)，\u6807\u7b7e 1\u3002<\/p>\n

#include <iostream>
\nusing namespace std;<\/p>\n

int main() {
\n double w1 = 0.0, w2 = 0.0, b = 0.0;
\n double lr = 0.1;
\n double x1 = 1.0, x2 = 1.0;
\n int t = 1;
\n double z = w1 * x1 + w2 * x2 + b;
\n int y = z > 0 ? 1 : 0;
\n double err = t – y;
\n cout << "\u66f4\u65b0\u524d\u6743\u91cd (" << w1 << ", " << w2 << ") \u504f\u7f6e " << b << endl;
\n cout << "z = " << z << "，y = " << y << "，t = " << t << endl;
\n cout << "err = t – y = " << err << endl;
\n w1 += lr * err * x1;
\n w2 += lr * err * x2;
\n b += lr * err;
\n cout << "\u66f4\u65b0\u540e\u6743\u91cd (" << w1 << ", " << w2 << ") \u504f\u7f6e " << b << endl;
\n return 0;
\n}<\/p>\n

\u52a0\u6743\u548c\u662f 0，\u9636\u8dc3\u5224 0，\u731c\u5c0f\u4e86\u3002\u8bef\u5dee t \u51cf y \u7b49\u4e8e 1\u3002\u4e09\u4e2a\u53c2\u6570\u5404\u52a0 0.1 \u4e58 1 \u4e58\u5bf9\u5e94\u8f93\u5165，\u6743\u91cd\u53d8 (0.1, 0.1)，\u504f\u7f6e\u53d8 0.1\u3002\u5c31\u8fd9\u4e48\u6734\u7d20，\u6ca1\u6709\u9b54\u6cd5\u3002<\/p>\n

\u8bad\u7ec3\u7684\u5927\u5faa\u73af，\u4e94\u6b65\u4e00\u4e2a\u5708\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u8bad\u7ec3\u5c31\u8fd9\u4e94\u6b65 \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 \u8bad\u7ec3\u7684\u5faa\u73af，\u4e94\u6b65\u4e00\u4e2a\u5708 \u2502
\n\u2502 \u2502
\n\u2502 1 \u6743\u91cd\u5168 0，\u5f00\u5c40 \u2502
\n\u2502 2 \u53d6\u4e00\u4e2a\u6837\u672c，\u7b97 y \u2502
\n\u2502 3 y \u548c\u6807\u7b7e t \u5bf9\u7b54\u6848 \u2502
\n\u2502 4 \u731c\u9519\u4e86，\u6743\u91cd\u5f80\u6b63\u786e\u65b9\u5411\u63a8\u4e00\u628a \u2502
\n\u2502 5 \u4e00\u8f6e\u5168\u5bf9，\u6536\u5de5 \u2502
\n\u2502 \u2502
\n\u2502 \u7b2c 4 \u6b65\u63a8\u591a\u5c11，\u5b66\u4e60\u7387\u8bf4\u4e86\u7b97 \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

2.3 \u5b8c\u6574\u8bad\u7ec3\u3001AND \u95e8\u4e94\u8f6e\u6536\u5de5<\/h4>\n

\u628a\u96f6\u4ef6\u62fc\u6210\u5b8c\u6574\u7a0b\u5e8f\u3002Perceptron \u7c7b\u6536\u6743\u91cd\u3001\u504f\u7f6e\u3001\u5b66\u4e60\u7387\u4e09\u6837\u53c2\u6570，predict \u7ba1\u524d\u5411，trainOne \u7ba1\u5355\u6837\u672c\u66f4\u65b0，main \u91cc\u56db\u4efd\u6837\u672c\u5faa\u73af\u8dd1，\u6bcf\u8f6e\u6570\u4e00\u904d\u9519\u51e0\u4e2a，\u5168\u5bf9\u4e86\u6536\u5de5\u3002<\/p>\n

#include <iostream>
\nusing namespace std;<\/p>\n

const int SAMPLES = 4;<\/p>\n

class Perceptron {
\npublic:
\n Perceptron(double lr) : learnRate(lr) {
\n w[0] = 0.0;
\n w[1] = 0.0;
\n b = 0.0;
\n }
\n int predict(double x1, double x2) const {
\n double z = b + w[0] * x1 + w[1] * x2;
\n return z > 0 ? 1 : 0;
\n }
\n void trainOne(double x1, double x2, int t) {
\n int y = predict(x1, x2);
\n if (y != t) {
\n double err = t – y;
\n w[0] += learnRate * err * x1;
\n w[1] += learnRate * err * x2;
\n b += learnRate * err;
\n }
\n }
\n void show() const {
\n cout << "\u6743\u91cd (" << w[0] << ", " << w[1] << ") \u504f\u7f6e " << b;
\n }
\nprivate:
\n double w[2];
\n double b;
\n double learnRate;
\n};<\/p>\n

int main() {
\n double x[SAMPLES][2] = { {0, 0}, {0, 1}, {1, 0}, {1, 1} };
\n int t[SAMPLES] = {0, 0, 0, 1};
\n Perceptron p(0.1);
\n for (int epoch = 1; epoch <= 50; epoch++) {
\n int wrong = 0;
\n for (int i = 0; i < SAMPLES; i++) {
\n if (p.predict(x[i][0], x[i][1]) != t[i]) {
\n wrong++;
\n }
\n p.trainOne(x[i][0], x[i][1], t[i]);
\n }
\n cout << "\u7b2c " << epoch << " \u8f6e\u9519 " << wrong << " \u4e2a，\u5b66\u5b8c";
\n p.show();
\n cout << endl;
\n int left = 0;
\n for (int i = 0; i < SAMPLES; i++) {
\n if (p.predict(x[i][0], x[i][1]) != t[i]) {
\n left++;
\n }
\n }
\n if (left == 0) {
\n cout << "\u56db\u4e2a\u5168\u5bf9，\u6536\u5de5" << endl;
\n break;
\n }
\n }
\n return 0;
\n}<\/p>\n

\u8f93\u51fa\u5728\u8fd9\u91cc\u3002<\/p>\n

\u7b2c 1 \u8f6e\u9519 1 \u4e2a，\u5b66\u5b8c\u6743\u91cd (0.1, 0.1) \u504f\u7f6e 0.1
\n\u7b2c 2 \u8f6e\u9519 3 \u4e2a，\u5b66\u5b8c\u6743\u91cd (0.2, 0.1) \u504f\u7f6e 0
\n\u7b2c 3 \u8f6e\u9519 3 \u4e2a，\u5b66\u5b8c\u6743\u91cd (0.2, 0.1) \u504f\u7f6e -0.1
\n\u7b2c 4 \u8f6e\u9519 2 \u4e2a，\u5b66\u5b8c\u6743\u91cd (0.2, 0.2) \u504f\u7f6e -0.1
\n\u7b2c 5 \u8f6e\u9519 1 \u4e2a，\u5b66\u5b8c\u6743\u91cd (0.2, 0.1) \u504f\u7f6e -0.2
\n\u56db\u4e2a\u5168\u5bf9，\u6536\u5de5<\/p>\n

\u4e94\u8f6e\u6536\u5de5\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u4e94\u8f6e\u6536\u5de5 \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 AND \u95e8\u8bad\u7ec3\u5b9e\u5f55，\u5b66\u4e60\u7387 0.1 \u2502
\n\u2502 \u2502
\n\u2502 \u8f6e\u6b21 1 2 3 4 5 \u2502
\n\u2502 \u9519\u51e0\u4e2a 1 3 3 2 1 \u2502
\n\u2502 \u2502
\n\u2502 \u4e94\u8f6e\u5b66\u5b8c，\u6743\u91cd (0.2, 0.1)，\u504f\u7f6e -0.2 \u2502
\n\u2502 \u5224\u5b9a\u7ebf 0.2×1 + 0.1×2 \u5927\u4e8e 0.2 \u2502
\n\u2502 \u56db\u4e2a\u6837\u672c\u70b9，\u53ea\u6709 (1, 1) \u8fc7\u7ebf \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

\u76ef\u4e24\u4e2a\u5730\u65b9\u3002\u4e00\u4e2a\u662f\u9519\u8bef\u6570，1\u30013\u30013\u30012\u30011，\u5148\u5347\u540e\u964d\u3002\u7b2c 2 \u8f6e\u9519\u4e86 3 \u4e2a，\u6bd4\u7b2c 1 \u8f6e\u8fd8\u591a，\u8fd9\u4e0d\u5947\u602a，\u6743\u91cd\u5728\u627e\u4f4d\u7f6e，\u4e2d\u9014\u591a\u9519\u51e0\u4e2a\u6b63\u5e38，\u770b\u7684\u662f\u8d8b\u52bf\u5f80\u4e0b\u3002\u53e6\u4e00\u4e2a\u662f\u5b66\u51fa\u6765\u7684\u5224\u5b9a\u7ebf，0.2 \u4e58 x1 \u52a0 0.1 \u4e58 x2 \u51cf 0.2，\u56db\u4e2a\u70b9\u91cc\u53ea\u6709 (1, 1) \u5728\u7ebf\u8fd9\u8fb9\u3002\u987a\u5e26\u4e00\u63d0，(1, 0) \u7684\u52a0\u6743\u548c\u6b63\u597d\u662f 0，\u9636\u8dc3\u5728 0 \u4e0a\u53d6 0，\u624d\u628a\u5b83\u5224\u6210 0\u3002\u8fb9\u754c\u6837\u672c\u5c31\u8fd9\u5904\u5883，\u9669\u80dc\u3002<\/p>\n

2.4 \u5b66\u4e60\u7387\u8981\u914d\u7740\u5c3a\u5ea6\u7528<\/h4>\n

AND \u95e8\u592a\u7b80\u5355，\u4e09\u79cd\u5b66\u4e60\u7387\u90fd\u662f\u4e94\u8f6e\u6536\u655b，\u770b\u4e0d\u51fa\u5dee\u8ddd\u3002\u5b66\u4e60\u7387 2.0 \u5b66\u51fa\u7684\u6743\u91cd\u662f (4, 2) \u504f\u7f6e -4，\u5b66\u4e60\u7387 0.01 \u5b66\u51fa\u7684\u662f (0.02, 0.01) \u504f\u7f6e -0.02\u3002\u7b80\u5355\u9898，\u5feb\u6162\u770b\u4e0d\u51fa\u6765，\u6743\u91cd\u865a\u80d6\u770b\u5f97\u89c1\u3002<\/p>\n

\u771f\u6b63\u7684\u5751\u5728\u7279\u5f81\u5c3a\u5ea6\u3002\u62ff\u516d\u4efd\u6210\u7ee9\u5355\u76f4\u63a5\u5582，\u5206\u6570\u662f 40 \u5230 100 \u7684\u91cf\u7ea7，\u5b66\u4e60\u7387 0.1\u3002<\/p>\n

#include <iostream>
\nusing namespace std;<\/p>\n

const int N = 6;<\/p>\n

class Perceptron {
\npublic:
\n Perceptron(double lr) : learnRate(lr) {
\n w[0] = 0.0;
\n w[1] = 0.0;
\n b = 0.0;
\n }
\n int predict(double x1, double x2) const {
\n double z = b + w[0] * x1 + w[1] * x2;
\n return z > 0 ? 1 : 0;
\n }
\n void trainOne(double x1, double x2, int t) {
\n int y = predict(x1, x2);
\n if (y != t) {
\n double err = t – y;
\n w[0] += learnRate * err * x1;
\n w[1] += learnRate * err * x2;
\n b += learnRate * err;
\n }
\n }
\nprivate:
\n double w[2];
\n double b;
\n double learnRate;
\n};<\/p>\n

int trainScores(double data[][2], int t[], double lr, bool noisy) {
\n Perceptron p(lr);
\n for (int epoch = 1; epoch <= 300; epoch++) {
\n int wrong = 0;
\n for (int i = 0; i < N; i++) {
\n if (p.predict(data[i][0], data[i][1]) != t[i]) {
\n wrong++;
\n }
\n p.trainOne(data[i][0], data[i][1], t[i]);
\n }
\n if (noisy && epoch <= 8) {
\n cout << " \u7b2c " << epoch << " \u8f6e\u9519 " << wrong << " \u4e2a" << endl;
\n }
\n int left = 0;
\n for (int i = 0; i < N; i++) {
\n if (p.predict(data[i][0], data[i][1]) != t[i]) {
\n left++;
\n }
\n }
\n if (left == 0) {
\n return epoch;
\n }
\n }
\n return -1;
\n}<\/p>\n

int main() {
\n double raw[N][2] = {
\n {85, 78}, {92, 88}, {55, 61}, {100, 95}, {88, 82}, {40, 35}
\n };
\n int t[N] = {0, 0, 1, 0, 0, 1};
\n cout << "\u539f\u59cb\u5c3a\u5ea6，\u5b66\u4e60\u7387 0.1" << endl;
\n int epochs = trainScores(raw, t, 0.1, true);
\n if (epochs > 0) {
\n cout << epochs << " \u8f6e\u6536\u655b" << endl;
\n } else {
\n cout << "300 \u8f6e\u6ca1\u6536\u655b" << endl;
\n }
\n double norm[N][2];
\n for (int i = 0; i < N; i++) {
\n norm[i][0] = raw[i][0] \/ 100.0;
\n norm[i][1] = raw[i][1] \/ 100.0;
\n }
\n cout << "\u5f52\u4e00\u5316\u4e4b\u540e，\u5b66\u4e60\u7387 0.1" << endl;
\n epochs = trainScores(norm, t, 0.1, true);
\n cout << epochs << " \u8f6e\u6536\u655b" << endl;
\n return 0;
\n}<\/p>\n

\u539f\u59cb\u5c3a\u5ea6\u8dd1 300 \u8f6e\u6ca1\u6536\u655b，\u524d\u516b\u8f6e\u6bcf\u8f6e\u7a33\u5b9a\u9519 3 \u4e2a\u3002\u6743\u91cd\u5728\u51e0\u4e2a\u4f4d\u7f6e\u4e4b\u95f4\u6765\u56de\u649e，\u4e00\u6b65\u8de8\u592a\u5927，\u6c38\u8fdc\u843d\u4e0d\u7a33\u3002\u540c\u4e00\u4efd\u6570\u636e\u9664\u4ee5 100，\u5b66\u4e60\u7387\u4e00\u4e2a\u6570\u4e0d\u6539，2 \u8f6e\u6536\u655b\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u5148\u7f29\u653e，\u518d\u8bad\u7ec3 \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 \u540c\u4e00\u4efd\u6570\u636e，\u4e24\u79cd\u5c3a\u5ea6 \u2502
\n\u2502 \u2502
\n\u2502 +—————-+——————+————–+ \u2502
\n\u2502 |\u6570\u636e |\u5b66\u4e60\u7387 0.1 |\u51e0\u8f6e\u6536\u655b | \u2502
\n\u2502 +—————-+——————+————–+ \u2502
\n\u2502 |\u539f\u59cb\u5206\u6570 |\u6743\u91cd\u6765\u56de\u649e |300 \u8f6e\u6ca1\u6536\u655b | \u2502
\n\u2502 |\u5f52\u4e00\u5316\u5206\u6570 |\u7a33\u7a33\u843d\u5730 |2 \u8f6e | \u2502
\n\u2502 +—————-+——————+————–+ \u2502
\n\u2502 \u2502
\n\u2502 AND \u95e8\u4e0a\u8bd5 2.0 \/ 0.1 \/ 0.01 \u2502
\n\u2502 \u90fd\u80fd 5 \u8f6e\u6536\u655b，\u7b80\u5355\u9898\u770b\u4e0d\u51fa\u5feb\u6162 \u2502
\n\u2502 \u5b66\u51fa\u7684\u6743\u91cd\u5374\u5dee 100 \u500d \u2502
\n\u2502 \u4e00\u4e2a (4, 2)，\u4e00\u4e2a (0.02, 0.01) \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

\u4e24\u6761\u7ecf\u9a8c\u3002\u7279\u5f81\u5148\u7f29\u5230 0 \u5230 1 \u9644\u8fd1，\u9664\u4ee5\u6700\u5927\u503c\u662f\u7cd9\u5feb\u731b\u7684\u505a\u6cd5\u3002\u5b66\u4e60\u7387\u4ece 0.1 \u8d77\u6b65，\u4e0d\u6536\u655b\u5f80\u4e0b\u8c03\u5341\u500d，\u522b\u4e00\u4e0a\u6765\u5c31 1.0\u3002\u8fd9\u4e24\u6761\u4e0d\u662f\u611f\u77e5\u5668\u7684\u5bb6\u89c4，\u662f\u540e\u9762\u6240\u6709\u68af\u5ea6\u7c7b\u8bad\u7ec3\u7684\u901a\u7528\u5f00\u5c40\u3002<\/p>\n

2.5 \u5f02\u6216\u3001\u611f\u77e5\u5668\u7684\u5357\u5899<\/h4>\n

\u611f\u77e5\u5668\u6709\u5835\u786c\u8fb9\u754c\u3002\u5f02\u6216，\u4e24\u4e2a\u8f93\u5165\u4e0d\u4e00\u6837\u624d\u8f93\u51fa 1\u3002\u56db\u4e2a\u70b9\u644a\u5728\u5e73\u9762\u4e0a，(0, 1) \u548c (1, 0) \u662f 1，(0, 0) \u548c (1, 1) \u662f 0\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u7ebf\u6027\u4e0d\u53ef\u5206 \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 \u5f02\u6216\u7684\u56db\u4e2a\u70b9，\u4e00\u6761\u76f4\u7ebf\u5207\u4e0d\u5f00 \u2502
\n\u2502 \u2502
\n\u2502 \u5de6\u4e0a (0, 1) \u6807\u7b7e 1 \u53f3\u4e0a (1, 1) \u6807\u7b7e 0 \u2502
\n\u2502 \u2502
\n\u2502 \u5de6\u4e0b (0, 0) \u6807\u7b7e 0 \u53f3\u4e0b (1, 0) \u6807\u7b7e 1 \u2502
\n\u2502 \u2502
\n\u2502 \u4e00\u6761\u76f4\u7ebf，\u4e00\u8fb9\u5168 1 \u4e00\u8fb9\u5168 0 \u2502
\n\u2502 \u8fd9\u6837\u7684\u7ebf\u4e0d\u5b58\u5728 \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

\u4e00\u6761\u76f4\u7ebf，\u60f3\u4e00\u8fb9\u5168\u662f 1 \u4e00\u8fb9\u5168\u662f 0，\u4e0d\u5b58\u5728\u3002\u8dd1\u7ed9\u5b83\u770b\u3002<\/p>\n

#include <iostream>
\nusing namespace std;<\/p>\n

const int SAMPLES = 4;<\/p>\n

class Perceptron {
\npublic:
\n Perceptron(double lr) : learnRate(lr) {
\n w[0] = 0.0;
\n w[1] = 0.0;
\n b = 0.0;
\n }
\n int predict(double x1, double x2) const {
\n double z = b + w[0] * x1 + w[1] * x2;
\n return z > 0 ? 1 : 0;
\n }
\n void trainOne(double x1, double x2, int t) {
\n int y = predict(x1, x2);
\n if (y != t) {
\n double err = t – y;
\n w[0] += learnRate * err * x1;
\n w[1] += learnRate * err * x2;
\n b += learnRate * err;
\n }
\n }
\n void show() const {
\n cout << "\u6743\u91cd (" << w[0] << ", " << w[1] << ")，\u504f\u7f6e " << b;
\n }
\nprivate:
\n double w[2];
\n double b;
\n double learnRate;
\n};<\/p>\n

int main() {
\n double x[SAMPLES][2] = { {0, 0}, {0, 1}, {1, 0}, {1, 1} };
\n int t[SAMPLES] = {0, 1, 1, 0};
\n Perceptron p(0.1);
\n for (int epoch = 1; epoch <= 100; epoch++) {
\n for (int i = 0; i < SAMPLES; i++) {
\n p.trainOne(x[i][0], x[i][1], t[i]);
\n }
\n }
\n int wrong = 0;
\n for (int i = 0; i < SAMPLES; i++) {
\n if (p.predict(x[i][0], x[i][1]) != t[i]) {
\n wrong++;
\n }
\n }
\n cout << "100 \u8f6e\u540e\u8fd8\u9519 " << wrong << " \u4e2a，\u5b66\u5b8c";
\n p.show();
\n cout << endl;
\n return 0;
\n}<\/p>\n

\u8f93\u51fa\u662f 100 \u8f6e\u540e\u8fd8\u9519 2 \u4e2a，\u5b66\u5b8c\u6743\u91cd (-0.1, 0)，\u504f\u7f6e 0.1\u3002\u8fd9\u8ddf\u5b66\u4e60\u7387\u6ca1\u5173\u7cfb，\u8ddf\u8f6e\u6570\u4e5f\u6ca1\u5173\u7cfb，\u5355\u5c42\u611f\u77e5\u5668\u538b\u6839\u8868\u793a\u4e0d\u4e86\u5f02\u6216\u30021969 \u5e74 Minsky \u548c Papert \u5728 Perceptrons \u8fd9\u672c\u4e66\u91cc\u628a\u8fd9\u70b9\u8bb2\u900f\u4e86，\u611f\u77e5\u5668\u7684\u51ac\u5929\u5c31\u662f\u8fd9\u4e48\u6765\u7684\u3002\u540e\u6765\u8fd9\u5835\u5899\u9760\u591a\u5c42\u7f51\u7edc\u52a0\u53cd\u5411\u4f20\u64ad\u7ffb\u8fc7\u53bb，\u6545\u4e8b\u5f88\u957f，\u672c\u4e66\u4e0d\u5c55\u5f00\u3002\u8bb0\u4f4f\u8fb9\u754c\u753b\u5728\u54ea，\u6bd4\u5fd9\u7740\u7ffb\u8fc7\u53bb\u8981\u7d27\u3002<\/p>\n

2.6 \u5b9e\u6218\u3001\u6302\u79d1\u9884\u6d4b<\/h4>\n

\u56de\u5230\u5b66\u59d4\u90a3\u6869\u6d3b\u3002\u516d\u4efd\u6210\u7ee9\u5355，\u7b2c\u4e94\u7ae0\u90a3\u4e94\u4f4d，\u5f20\u4e09\u674e\u56db\u738b\u4e94\u8d75\u516d\u5b59\u4e03，\u5916\u52a0\u8f6c\u73ed\u6765\u7684\u5468\u516b\u3002\u738b\u4e94\u7684\u4f5c\u4e1a\u5206\u8fd8\u662f 55，\u7b2c\u4e94\u7ae0\u8003 55 \u7684\u90a3\u4f4d\u8001\u719f\u4eba，\u8fd9\u56de\u4e24\u95e8\u90fd\u60ac\u3002\u539f\u59cb\u5206\u6570\u9664\u4ee5 100，\u4e24\u4e2a\u7279\u5f81\u90fd\u843d\u5230 0 \u5230 1\u3002\u6837\u672c\u7528\u6570\u7ec4\u6446\u7740，\u56fe\u4e2a\u6e05\u695a，\u60f3\u6362\u7b2c\u5341\u56db\u7ae0\u7684 vector \u88c5，\u968f\u4f60\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u4ece\u624b\u6446\u5230\u81ea\u5b66 \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 \u6302\u79d1\u9884\u6d4b，\u516d\u4efd\u6210\u7ee9\u5355 \u2502
\n\u2502 \u2502
\n\u2502 +———-+—————-+——–+ \u2502
\n\u2502 |\u5b66\u751f |\u5f52\u4e00\u5316\u7279\u5f81 |\u6807\u7b7e | \u2502
\n\u2502 +———-+—————-+——–+ \u2502
\n\u2502 |\u5f20\u4e09 |0.85 0.78 |0 | \u2502
\n\u2502 |\u674e\u56db |0.92 0.88 |0 | \u2502
\n\u2502 |\u738b\u4e94 |0.55 0.61 |1 | \u2502
\n\u2502 |\u8d75\u516d |1.00 0.95 |0 | \u2502
\n\u2502 |\u5b59\u4e03 |0.88 0.82 |0 | \u2502
\n\u2502 |\u5468\u516b |0.40 0.35 |1 | \u2502
\n\u2502 +———-+—————-+——–+ \u2502
\n\u2502 \u2502
\n\u2502 \u5b66\u51fa\u6765\u6743\u91cd (-0.095, -0.076)，\u504f\u7f6e 0.1 \u2502
\n\u2502 \u516d\u4e2a\u6837\u672c\u5168\u5224\u5bf9 \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

\u8bad\u7ec3\u8dd1\u8d77\u6765\u3002<\/p>\n

#include <iostream>
\nusing namespace std;<\/p>\n

const int N = 6;<\/p>\n

class Perceptron {
\npublic:
\n Perceptron(double lr) : learnRate(lr) {
\n w[0] = 0.0;
\n w[1] = 0.0;
\n b = 0.0;
\n }
\n int predict(double x1, double x2) const {
\n double z = b + w[0] * x1 + w[1] * x2;
\n return z > 0 ? 1 : 0;
\n }
\n void trainOne(double x1, double x2, int t) {
\n int y = predict(x1, x2);
\n if (y != t) {
\n double err = t – y;
\n w[0] += learnRate * err * x1;
\n w[1] += learnRate * err * x2;
\n b += learnRate * err;
\n }
\n }
\n void show() const {
\n cout << "\u6743\u91cd (" << w[0] << ", " << w[1] << ")，\u504f\u7f6e " << b;
\n }
\nprivate:
\n double w[2];
\n double b;
\n double learnRate;
\n};<\/p>\n

int main() {
\n double x[N][2] = {
\n {0.85, 0.78}, {0.92, 0.88}, {0.55, 0.61},
\n {1.00, 0.95}, {0.88, 0.82}, {0.40, 0.35}
\n };
\n int t[N] = {0, 0, 1, 0, 0, 1};
\n const char *names[N] = { "\u5f20\u4e09", "\u674e\u56db", "\u738b\u4e94", "\u8d75\u516d", "\u5b59\u4e03", "\u5468\u516b" };
\n Perceptron p(0.1);
\n for (int epoch = 1; epoch <= 50; epoch++) {
\n int wrong = 0;
\n for (int i = 0; i < N; i++) {
\n if (p.predict(x[i][0], x[i][1]) != t[i]) {
\n wrong++;
\n }
\n p.trainOne(x[i][0], x[i][1], t[i]);
\n }
\n cout << "\u7b2c " << epoch << " \u8f6e\u9519 " << wrong << " \u4e2a" << endl;
\n int left = 0;
\n for (int i = 0; i < N; i++) {
\n if (p.predict(x[i][0], x[i][1]) != t[i]) {
\n left++;
\n }
\n }
\n if (left == 0) {
\n break;
\n }
\n }
\n p.show();
\n cout << endl;
\n for (int i = 0; i < N; i++) {
\n cout << names[i] << " \u6807\u7b7e " << t[i] << " \u9884\u6d4b "
\n << p.predict(x[i][0], x[i][1]) << endl;
\n }
\n return 0;
\n}<\/p>\n

\u7b2c 1 \u8f6e\u9519 3 \u4e2a，\u7b2c 2 \u8f6e\u9519 4 \u4e2a，\u5b66\u5b8c\u516d\u4e2a\u5168\u5bf9\u3002\u7b2c 2 \u8f6e\u9519\u7684\u6bd4\u7b2c 1 \u8f6e\u8fd8\u591a，\u548c AND \u95e8\u4e00\u4e2a\u9053\u7406，\u6536\u655b\u524d\u53cd\u5f39\u4e00\u4e0b\u6b63\u5e38\u3002\u5b66\u51fa\u6765\u7684\u5224\u5b9a\u5f0f\u662f 0.1 \u51cf 0.095 \u4e58\u4f5c\u4e1a\u5206，\u518d\u51cf 0.076 \u4e58\u6708\u8003\u5206，\u5927\u4e8e 0 \u5224\u6302\u79d1\u3002\u4e24\u95e8\u5206\u8d8a\u9ad8，\u5f0f\u5b50\u8d8a\u8d1f，\u8d8a\u5224\u4e0d\u6302，\u65b9\u5411\u7b26\u5408\u76f4\u89c9\u3002\u53ef\u8fd9\u4e2a\u65b9\u5411\u4e0d\u662f\u6211\u6559\u7684，\u662f\u516d\u4efd\u6210\u7ee9\u5355\u81ea\u5df1\u8bf4\u7684\u3002<\/p>\n

\u5468\u4e5d\u90a3\u79cd\u6837\u672c，\u89c4\u5219\u6253\u67b6\u7684\u6839\u6e90\u662f\u89c4\u5219\u5199\u6b7b\u4e86\u3002\u611f\u77e5\u5668\u4e0d\u95ee\u89c4\u5219，\u53ea\u95ee\u6570\u636e，\u6743\u91cd\u4ece\u516d\u4efd\u6210\u7ee9\u5355\u91cc\u957f\u51fa\u6765，\u6765\u4e09\u5341\u4efd\u4e09\u767e\u4efd\u4e00\u4e2a\u8dd1\u6cd5\u3002\u5f53\u7136\u5b83\u4e5f\u6709\u5357\u5899，2.5 \u8282\u521a\u649e\u8fc7\u3002\u5de5\u5177\u5404\u6709\u8fb9\u754c，\u77e5\u9053\u8fb9\u754c\u6bd4\u5d07\u62dc\u5de5\u5177\u8981\u7d27\u3002<\/p>\n

\u5b66\u59d4\u540e\u6765\u628a\u4e09\u5341\u4efd\u5168\u8dd1\u4e86\u4e00\u904d，\u8bf4\u6bd4\u5979\u90a3\u5957\u89c4\u5219\u5f3a\u3002\u6211\u6ca1\u597d\u610f\u601d\u8bf4\u8fd9\u5957\u4e1c\u897f\u4e0a\u4e16\u7eaa\u4e94\u5341\u5e74\u4ee3\u5c31\u6709\u4e86，\u53ea\u8bf4\u4e86\u53e5，\u6743\u91cd\u662f\u81ea\u5df1\u5b66\u7684，\u4e0d\u662f\u6211\u6446\u7684\u3002<\/p>\n

\u672c\u7ae0\u5c0f\u7ed3<\/h3>\n

\u672c\u7ae0\u4ece\u751f\u7269\u795e\u7ecf\u5143\u51fa\u53d1\u3002\u6811\u7a81\u8f74\u7a81\u7ffb\u8bd1\u6210\u8f93\u5165\u8f93\u51fa，\u7a81\u89e6\u5f3a\u5ea6\u7ffb\u8bd1\u6210\u6743\u91cd，\u5174\u594b\u9608\u503c\u7ffb\u8bd1\u6210\u504f\u7f6e，\u4e00\u4e2a\u795e\u7ecf\u5143\u62fc\u51fa\u611f\u77e5\u5668\u3002\u8bad\u7ec3\u4e09\u4ef6\u5957，\u6837\u672c\u3001\u6a21\u578b\u3001\u635f\u5931，\u52a0\u4e00\u6761\u731c\u9519\u624d\u52a8\u624b\u7684\u66f4\u65b0\u89c4\u5219，\u6743\u91cd\u5c31\u80fd\u4ece\u6570\u636e\u91cc\u957f\u51fa\u6765\u3002\u4e24\u6761\u7ecf\u9a8c，\u7279\u5f81\u5148\u7f29\u653e，\u5b66\u4e60\u7387\u4ece 0.1 \u8d77\u6b65\u3002\u4e00\u6761\u786c\u8fb9\u754c，\u5355\u5c42\u611f\u77e5\u5668\u53ea\u73a9\u7ebf\u6027\u53ef\u5206\u3002<\/p>\n

\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510
\n\u2502 \u672c\u7ae0\u6536\u53e3 \u2502
\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524
\n\u2502 \u4e00\u6761\u7ebf，\u4ece\u795e\u7ecf\u5143\u8d70\u5230\u611f\u77e5\u5668 \u2502
\n\u2502 \u2502
\n\u2502 \u6811\u7a81\u8f74\u7a81 \u53d8\u6210 \u8f93\u5165\u8f93\u51fa \u2502
\n\u2502 \u7a81\u89e6\u5f3a\u5ea6 \u53d8\u6210 \u6743\u91cd \u2502
\n\u2502 \u5174\u594b\u9608\u503c \u53d8\u6210 \u504f\u7f6e \u2502
\n\u2502 \u5b66\u4e60 \u53d8\u6210 \u66f4\u65b0\u89c4\u5219 \u2502
\n\u2502 \u2502
\n\u2502 \u5355\u5c42\u611f\u77e5\u5668，\u7ebf\u6027\u53ef\u5206\u624d\u73a9\u5f97\u8f6c \u2502
\n\u2502 \u5f02\u6216\u5361\u4f4f\u7684\u5730\u65b9，\u7559\u7ed9\u540e\u9762\u7684\u5c42 \u2502
\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<\/p>\n

\u9644\u5f55 A \u901f\u67e5\u5361<\/h3>\n\n\u6761\u76ee\u4e00\u53e5\u8bdd<\/tr>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\u795e\u7ecf\u5143<\/td>\n\u6811\u7a81\u7ba1\u6536，\u7ec6\u80de\u4f53\u7ba1\u7b97，\u8f74\u7a81\u7ba1\u4f20<\/td>\n<\/tr>\n
\u7a81\u89e6<\/td>\n\u795e\u7ecf\u5143\u63a5\u5934，\u5f3a\u5ea6\u53ef\u53d8，\u5b66\u4e60\u53d1\u751f\u5728\u8fd9<\/td>\n<\/tr>\n
\u6743\u91cd w<\/td>\n\u7a81\u89e6\u5f3a\u5ea6\u7684\u6570\u5b66\u7248，\u7ba1\u8f93\u5165\u7684\u5206\u91cf<\/td>\n<\/tr>\n
\u504f\u7f6e b<\/td>\n\u603b\u95e8\u69db，\u51b3\u5b9a\u4e00\u5200\u5207\u7684\u4f4d\u7f6e<\/td>\n<\/tr>\n
\u6fc0\u6d3b\u51fd\u6570<\/td>\n\u611f\u77e5\u5668\u7528\u9636\u8dc3，z \u5927\u4e8e 0 \u8f93\u51fa 1<\/td>\n<\/tr>\n
\u611f\u77e5\u5668<\/td>\n\u4e00\u5c42\u6743\u91cd\u76f4\u901a\u8f93\u51fa\u7684\u5355\u5c42\u6a21\u578b<\/td>\n<\/tr>\n
\u7ebf\u6027\u53ef\u5206<\/td>\n\u4e00\u6761\u76f4\u7ebf\u5206\u5f00\u4e24\u7c7b，\u611f\u77e5\u5668\u7684\u5730\u76d8<\/td>\n<\/tr>\n
\u76d1\u7763\u5b66\u4e60<\/td>\n\u6837\u672c\u5e26\u6807\u7b7e，\u6a21\u578b\u7167\u7740\u7b54\u6848\u5b66<\/td>\n<\/tr>\n
\u5b66\u4e60\u7387<\/td>\n\u66f4\u65b0\u7684\u6b65\u5b50，\u5e38\u7528\u8d77\u70b9 0.1<\/td>\n<\/tr>\n
\u8f6e\u6b21<\/td>\n\u5168\u6837\u672c\u8fc7\u4e00\u904d<\/td>\n<\/tr>\n
\u524d\u5411<\/td>\nz = w1x1 + w2x2 + b，\u518d\u8fc7\u9636\u8dc3<\/td>\n<\/tr>\n
\u66f4\u65b0<\/td>\nw += lr*(t-y)x，b += lr(t-y)<\/td>\n<\/tr>\n
\u6536\u655b<\/td>\n\u5168\u6837\u672c\u5224\u5bf9，\u6536\u5de5<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u9644\u5f55 B \u6392\u9519\u8868<\/h3>\n\n\u5e38\u89c1\u73b0\u8c61\u75c5\u6839\u836f\u65b9<\/tr>\n\n\n\n\n\n\n\n\n\n
\u8dd1\u4e00\u767e\u8f6e\u4e0d\u6536\u655b，\u6743\u91cd\u5361\u4f4f\u4e0d\u52a8<\/td>\n\u5fd8\u66f4\u65b0\u504f\u7f6e，b \u90a3\u6761\u6f0f\u4e86<\/td>\n\u8865\u4e0a b += lr*(t-y)<\/td>\n<\/tr>\n
\u6bcf\u8f6e\u7a33\u5b9a\u9519\u540c\u6837\u591a\u4e2a，\u6743\u91cd\u6765\u56de\u649e<\/td>\n\u5b66\u4e60\u7387\u76f8\u5bf9\u5c3a\u5ea6\u592a\u5927<\/td>\n\u7279\u5f81\u5f52\u4e00\u5316，\u6216\u5b66\u4e60\u7387\u964d\u5341\u500d<\/td>\n<\/tr>\n
300 \u8f6e\u8fd8\u4e0d\u6536\u655b，\u6743\u91cd\u7f13\u6162\u6f02<\/td>\n\u6b65\u5b50\u592a\u5c0f，\u6216\u5c3a\u5ea6\u592a\u5927<\/td>\n\u5148\u5f52\u4e00\u5316，\u518d\u8003\u8651\u8c03\u5b66\u4e60\u7387<\/td>\n<\/tr>\n
\u6743\u91cd\u8d8a\u8dd1\u8d8a\u80d6，\u9884\u6d4b\u4e00\u8fb9\u5012<\/td>\n\u6807\u7b7e\u5199\u6210 2，\u8bef\u5dee\u6c38\u8fdc\u4e0d\u4e3a 0<\/td>\n\u6807\u7b7e\u53ea\u7528 0 \u548c 1<\/td>\n<\/tr>\n
predict \u8f93\u51fa 0.3 \u8fd9\u79cd\u5c0f\u6570<\/td>\n\u5fd8\u4e86\u9636\u8dc3\u6fc0\u6d3b<\/td>\n\u52a0 z \u5927\u4e8e 0 \u7684\u4e00\u5200\u5207<\/td>\n<\/tr>\n
\u5224\u65ad\u6536\u655b\u9760\u6bd4\u6743\u91cd\u76f8\u7b49<\/td>\ndouble \u5b58\u4e0d\u7cbe\u786e，0.1 \u52a0 0.2 \u90fd\u4e0d\u7b49\u4e8e 0.3<\/td>\n\u6570\u5206\u9519\u7684\u6837\u672c\u4e2a\u6570，\u5f52\u96f6\u5c31\u6536\u5de5<\/td>\n<\/tr>\n
\u5f02\u6216\u8dd1\u4e00\u4e07\u8f6e\u4e5f\u6ca1\u7528<\/td>\n\u5355\u5c42\u611f\u77e5\u5668\u7684\u786c\u8fb9\u754c<\/td>\n\u4e0a\u591a\u5c42\u7f51\u7edc，\u672c\u4e66\u4e0d\u5c55\u5f00<\/td>\n<\/tr>\n
\u7b2c 2 \u8f6e\u9519\u5f97\u6bd4\u7b2c 1 \u8f6e\u591a，\u4ee5\u4e3a\u4ee3\u7801\u574f\u4e86<\/td>\n\u6536\u655b\u524d\u6b63\u5e38\u53cd\u5f39<\/td>\n\u770b\u8d8b\u52bf，\u522b\u770b\u5355\u8f6e<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

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