{"id":81443,"date":"2026-07-25T02:01:10","date_gmt":"2026-07-24T18:01:10","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/81443.html"},"modified":"2026-07-25T02:01:10","modified_gmt":"2026-07-24T18:01:10","slug":"%e5%87%86%e5%a4%a7%e4%ba%8c%e5%ad%a6%e7%94%9f%e4%bb%8e0%e5%bc%80%e5%a7%8b%e5%ad%a6ai-%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0day5","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/81443.html","title":{"rendered":"\u51c6\u5927\u4e8c\u5b66\u751f\u4ece0\u5f00\u59cb\u5b66AI\u2014\u2014\u673a\u5668\u5b66\u4e60Day5"},"content":{"rendered":"

type: daily_note<\/p>\n

title: Phase 2.1 Day 5 \u2014 \u7279\u5f81\u7f29\u653e + \u7279\u5f81\u5de5\u7a0b + \u591a\u9879\u5f0f\u56de\u5f52 + \u903b\u8f91\u56de\u5f52\u52a8\u673a<\/p>\n

date: 2026-07-24<\/p>\n

person: \u5434\u6069\u8fbe<\/p>\n

phase: "2.1"<\/p>\n

day: 5<\/p>\n

topics:<\/p>\n

\u00a0 [<\/p>\n

\u00a0 \u00a0 \u7279\u5f81\u7f29\u653e,<\/p>\n

\u00a0 \u00a0 Z-score\u5f52\u4e00\u5316,<\/p>\n

\u00a0 \u00a0 \u5747\u503c\u5f52\u4e00\u5316,<\/p>\n

\u00a0 \u00a0 \u5b66\u4e60\u7387\u9009\u62e9,<\/p>\n

\u00a0 \u00a0 \u68c0\u67e5\u6536\u655b,<\/p>\n

\u00a0 \u00a0 \u7279\u5f81\u5de5\u7a0b,<\/p>\n

\u00a0 \u00a0 \u591a\u9879\u5f0f\u56de\u5f52,<\/p>\n

\u00a0 \u00a0 \u903b\u8f91\u56de\u5f52\u52a8\u673a,<\/p>\n

\u00a0 ]<\/p>\n

—<\/p>\n

\u00a0<\/p>\n

# 2026-07-24 \u5b66\u4e60\u7b14\u8bb0<\/p>\n

\u00a0<\/p>\n

## \u7b14\u8bb0\u533a<\/p>\n

\u00a0<\/p>\n

### \u6838\u5fc3\u89c2\u70b9<\/p>\n

\u00a0<\/p>\n

– **\u7279\u5f81\u7f29\u653e（Feature Scaling）**：\u7279\u5f81\u53d6\u503c\u8303\u56f4\u5dee\u5f02\u5927\u65f6，\u68af\u5ea6\u4e0b\u964d zigzag \u6536\u655b\u6162\u3002\u628a\u7279\u5f81\u7f29\u653e\u5230\u76f8\u8fd1\u8303\u56f4，\u7b49\u9ad8\u7ebf\u4ece\u692d\u5706\u53d8\u5706，\u68af\u5ea6\u4e0b\u964d\u8d70\u76f4\u7ebf<\/p>\n

– **\u5747\u503c\u5f52\u4e00\u5316 x' = (x-\u03bc)\/(max-min)**：\u5148\u5e73\u79fb（\u4e2d\u5fc3\u5316\u52300），\u518d\u538b\u7f29（\u503c\u57df\u8303\u56f4\u7ea6[-1,1]）\u3002\u53d7\u5f02\u5e38\u503c\u5f71\u54cd\u5927，\u6781\u503c\u540c\u65f6\u62c9\u504f \u03bc \u548c max-min<\/p>\n

– **Z-score \u5f52\u4e00\u5316 x' = (x-\u03bc)\/\u03c3**：\u8868\u793a\u8be5\u70b9\u79bb\u5747\u503c\u51e0\u4e2a\u6807\u51c6\u5dee\u30023\u03c3 \u539f\u5219，\u5927\u90e8\u5206\u503c\u5728 [-3,3]\u3002\u53d7\u5f02\u5e38\u503c\u5f71\u54cd\u5c0f，\u5b9e\u9645\u5de5\u4f5c\u9ed8\u8ba4\u7528\u8fd9\u4e2a<\/p>\n

– **\u68c0\u67e5\u6536\u655b**：\u753b J(w,b) vs \u8fed\u4ee3\u6b21\u6570\u7684\u5b66\u4e60\u66f2\u7ebf，\u66f2\u7ebf\u4e0a\u5347\u6216\u9707\u8361 \u2192 \u5b66\u4e60\u7387\u592a\u5927<\/p>\n

– **\u5b66\u4e60\u7387\u9009\u62e9**：\u4ece 0.001 \u5f00\u59cb，\u6bcf\u6b21 \u00d73：0.001\u21920.003\u21920.01\u21920.03\u21920.1\u21920.3\u21921，\u627e\u5230\u8ba9 J \u7a33\u5b9a\u4e0b\u964d\u7684\u6700\u5927\u503c<\/p>\n

– **\u7279\u5f81\u5de5\u7a0b**：\u4ece\u5df2\u6709\u7279\u5f81\u6784\u9020\u65b0\u7279\u5f81（\u5982 frontage\u00d7depth = area）\u3002\u5982\u5faa\u73af\u6b21\u6570\u00d7\u653e\u7535\u6df1\u5ea6 = \u7efc\u5408\u8001\u5316\u6307\u6807<\/p>\n

– **\u591a\u9879\u5f0f\u56de\u5f52**：\u6570\u636e\u975e\u7ebf\u6027\u65f6\u7528 \u0177 = w\u2081x + w\u2082x\u00b2 + w\u2083x\u00b3 + b\u3002\u505a\u591a\u9879\u5f0f\u56de\u5f52\u5fc5\u987b\u5148\u505a\u7279\u5f81\u7f29\u653e，\u5426\u5219 x, x\u00b2, x\u00b3 \u53d6\u503c\u8303\u56f4\u5dee\u51e0\u4e2a\u6570\u91cf\u7ea7<\/p>\n

– **\u903b\u8f91\u56de\u5f52\u52a8\u673a**：\u7ebf\u6027\u56de\u5f52\u505a\u5206\u7c7b\u7684\u7f3a\u9677\u2014\u2014\u5f02\u5e38\u503c\u62c9\u504f\u51b3\u7b56\u8fb9\u754c\u3002\u9700\u8981\u65b0\u7b97\u6cd5\u8ba9\u8f93\u51fa\u6c38\u8fdc\u5728 [0,1] \u4e4b\u95f4<\/p>\n

\u00a0<\/p>\n

### \u5173\u952e\u65b9\u6cd5\/\u6d41\u7a0b<\/p>\n

\u00a0<\/p>\n

**\u7279\u5f81\u7f29\u653e\u5bf9\u6bd4：**<\/p>\n

\u00a0<\/p>\n

| | \u5747\u503c\u5f52\u4e00\u5316 | Z-score \u5f52\u4e00\u5316 |<\/p>\n

| ———- | ———————— | ————– |<\/p>\n

| \u516c\u5f0f | (x-\u03bc)\/(max-min) | (x-\u03bc)\/\u03c3 |<\/p>\n

| \u7ed3\u679c\u8303\u56f4 | \u7ea6 [-1, 1] | \u7ea6 [-3, 3] |<\/p>\n

| \u5f02\u5e38\u503c\u5f71\u54cd | \u274c \u5927，\u6781\u503c+\u5747\u503c\u53cc\u91cd\u5f71\u54cd | \u2705 \u5c0f |<\/p>\n

| \u4f7f\u7528\u573a\u666f | \u7f55\u89c1 | \u2705 \u9ed8\u8ba4\u9009\u62e9 |<\/p>\n

\u00a0<\/p>\n

**\u5b66\u4e60\u7387\u8c03\u8bd5\u6d41\u7a0b：**<\/p>\n

\u00a0<\/p>\n

```<\/p>\n

\u03b1 = 0.001 \u2192 \u8dd1\u68af\u5ea6\u4e0b\u964d \u2192 \u753b J \u66f2\u7ebf<\/p>\n

\u00a0 \u66f2\u7ebf\u4e0b\u964d\u6b63\u5e38？\u2192 \u53ef\u4ee5\u5c1d\u8bd5\u518d\u5927\u4e00\u70b9（\u00d73）<\/p>\n

\u00a0 \u66f2\u7ebf\u9707\u8361\/\u4e0a\u5347？\u2192 \u51cf\u5c0f 3 \u500d<\/p>\n

\u91cd\u590d\u76f4\u5230\u627e\u5230"\u6700\u5927\u7684\u8ba9 J \u7a33\u5b9a\u4e0b\u964d\u7684 \u03b1"<\/p>\n

```<\/p>\n

\u00a0<\/p>\n

**\u7279\u5f81\u7f29\u653e\u7684\u7269\u7406\u610f\u4e49：** \u628a\u4e0d\u7b49\u957f\u91cf\u7eb2\u7684\u7279\u5f81\u653e\u5230\u540c\u4e00\u628a\u5c3a\u5b50\u4e0a\u91cf，\u8ba9\u68af\u5ea6\u4e0b\u964d\u5728\u6bcf\u4e2a\u65b9\u5411\u4e0a\u7684\u6b65\u957f\u5dee\u4e0d\u591a\u3002<\/p>\n

\u00a0<\/p>\n

### \u5b9e\u6218\u8bb0\u5f55<\/p>\n

\u00a0<\/p>\n

– **Lab03（Feature Scaling and Learning Rate）**：\u5bf9\u6bd4\u7279\u5f81\u7f29\u653e\u524d\u540e\u7684\u68af\u5ea6\u4e0b\u964d\u8def\u5f84\u2014\u2014\u7f29\u653e\u524d zigzag \u51e0\u5341\u6b65\u624d\u6536\u655b，\u7f29\u653e\u540e\u76f4\u5954\u6700\u4f4e\u70b9\u3002\u8c03 \u03b1 \u89c2\u5bdf J \u66f2\u7ebf\u7684\u53d8\u5316：\u03b1 \u592a\u5c0f\u65f6 J \u4e0b\u964d\u6162，\u03b1 \u592a\u5927\u65f6 J \u9707\u8361\u4e0a\u5347<\/p>\n

– **Lab04（FeatEng_PolyReg）**：\u7528\u9762\u79ef\u00b2\u548c\u9762\u79ef\u00b3\u505a\u591a\u9879\u5f0f\u56de\u5f52\u62df\u5408\u66f2\u7ebf，\u53d1\u73b0\u4e0d\u505a\u7279\u5f81\u7f29\u653e\u68af\u5ea6\u4e0b\u964d\u6839\u672c\u8dd1\u4e0d\u52a8<\/p>\n

\u00a0<\/p>\n

—<\/p>\n

\u00a0<\/p>\n

## \u7ebf\u7d22\u533a（\u5b66\u5b8c\u540e\u5408\u4e0a\u6750\u6599，\u81ea\u95ee\u81ea\u7b54）<\/p>\n

\u00a0<\/p>\n

**Q: \u7279\u5f81\u7f29\u653e\u89e3\u51b3\u4e86\u4ec0\u4e48\u95ee\u9898？**<\/p>\n

A: \u7279\u5f81\u53d6\u503c\u8303\u56f4\u5dee\u5f02\u5927\u65f6，\u4ee3\u4ef7\u51fd\u6570\u7684\u7b49\u9ad8\u7ebf\u88ab\u538b\u6241\u6210\u692d\u5706，\u68af\u5ea6\u4e0b\u964d\u5728\u9661\u5ced\u65b9\u5411\u6765\u56de\u9707\u8361（zigzag），\u6536\u655b\u6781\u6162\u3002\u7279\u5f81\u7f29\u653e\u628a\u7b49\u9ad8\u7ebf\u53d8\u5706，\u68af\u5ea6\u4e0b\u964d\u8d70\u76f4\u7ebf\u3002<\/p>\n

\u00a0<\/p>\n

**Q: Z-score \u5f52\u4e00\u5316\u548c\u5747\u503c\u5f52\u4e00\u5316\u6709\u4ec0\u4e48\u533a\u522b？\u5de5\u7a0b\u4e0a\u600e\u4e48\u9009？**<\/p>\n

A: \u5747\u503c\u5f52\u4e00\u5316\u9664\u4ee5\u6781\u5dee，Z-score \u9664\u4ee5\u6807\u51c6\u5dee\u3002Z-score \u53d7\u5f02\u5e38\u503c\u5f71\u54cd\u5c0f（\u6781\u503c\u548c\u5747\u503c\u90fd\u4f1a\u88ab\u5f02\u5e38\u503c\u62c9\u504f），\u5de5\u7a0b\u4e0a\u9ed8\u8ba4\u7528 Z-score（sklearn \u7684 StandardScaler）\u3002<\/p>\n

\u00a0<\/p>\n

**Q: \u4e3a\u4ec0\u4e48\u591a\u9879\u5f0f\u56de\u5f52\u524d\u5fc5\u987b\u505a\u7279\u5f81\u7f29\u653e？**<\/p>\n

A: \u5047\u8bbe x=50，\u5219 x\u00b2=2500，x\u00b3=125000\u3002\u4e09\u4e2a\u7279\u5f81\u53d6\u503c\u8303\u56f4\u5dee\u51e0\u5343\u500d，\u4e0d\u505a\u7f29\u653e\u68af\u5ea6\u4e0b\u964d zigzag \u6781\u5176\u4e25\u91cd，\u6839\u672c\u6536\u655b\u4e0d\u4e86\u3002<\/p>\n

\u00a0<\/p>\n

**Q: \u5b66\u4e60\u7387 \u03b1 \u592a\u5927\u548c\u592a\u5c0f\u5206\u522b\u6709\u4ec0\u4e48\u73b0\u8c61？**<\/p>\n

A: \u592a\u5927 \u2192 J \u66f2\u7ebf\u9707\u8361\u6216\u4e0a\u5347（\u53d1\u6563）；\u592a\u5c0f \u2192 J \u66f2\u7ebf\u7a33\u5b9a\u4e0b\u964d\u4f46\u901f\u5ea6\u5f88\u6162\u3002\u8c03\u8bd5\u65b9\u6cd5：\u4ece 0.001 \u5f00\u59cb，\u6bcf\u6b21 \u00d73，\u89c2\u5bdf J \u66f2\u7ebf\u3002<\/p>\n

\u00a0<\/p>\n

**Q: \u4e3a\u4ec0\u4e48\u7ebf\u6027\u56de\u5f52\u4e0d\u80fd\u76f4\u63a5\u505a\u5206\u7c7b？**<\/p>\n

A: \u7ebf\u6027\u56de\u5f52\u8f93\u51fa\u662f\u4efb\u610f\u5b9e\u6570\u3002\u4e00\u4e2a\u5f02\u5e38\u503c\u5c31\u80fd\u628a\u51b3\u7b56\u8fb9\u754c\u62c9\u504f\u3002\u5206\u7c7b\u9700\u8981\u8f93\u51fa 0 \u5230 1 \u4e4b\u95f4\u7684\u6982\u7387，\u9700\u8981\u65b0\u7b97\u6cd5（\u903b\u8f91\u56de\u5f52）\u3002<\/p>\n

\u00a0<\/p>\n

**Q: Lab03 \u91cc\u7684\u7279\u5f81\u7f29\u653e\u524d\u540e\u7684\u6536\u655b\u5bf9\u6bd4\u5177\u4f53\u8bf4\u660e\u4e86\u4ec0\u4e48？**<\/p>\n

A: \u7f29\u653e\u524d\u68af\u5ea6\u4e0b\u964d\u7684\u8def\u5f84\u662f zigzag \u7684，\u9700\u8981\u5f88\u591a\u6b65\u624d\u6536\u655b；\u7f29\u653e\u540e\u8def\u5f84\u51e0\u4e4e\u662f\u76f4\u7ebf\u6307\u5411\u6700\u4f4e\u70b9，\u51e0\u6b65\u5c31\u6536\u655b\u3002\u540c\u6837\u8fed\u4ee3\u6b21\u6570\u4e0b，\u7f29\u653e\u540e\u7684\u4ee3\u4ef7\u4e0b\u964d\u5feb\u5f97\u591a\u3002<\/p>\n

\u00a0<\/p>\n

—<\/p>\n

\u00a0<\/p>\n

## \u603b\u7ed3（50\u5b57\u4ee5\u5185）<\/p>\n

\u00a0<\/p>\n

\u7279\u5f81\u7f29\u653e\u89e3\u51b3\u591a\u7279\u5f81\u53d6\u503c\u5dee\u5f02\u5927\u5bfc\u81f4\u68af\u5ea6\u4e0b\u964d\u6162\u7684\u95ee\u9898\u3002Z-score \u9ed8\u8ba4\u7528\u3002\u5b66\u4e60\u7387\u4ece 0.001 \u8bd5\u8d77\u3002<\/p>\n

\u00a0<\/p>\n

—<\/p>\n

\u00a0<\/p>\n

## \u590d\u4e60\u5361\u7247<\/p>\n

\u00a0<\/p>\n

| \u6982\u5ff5 | \u4e00\u53e5\u8bdd | \u6211\u7684\u573a\u666f |<\/p>\n

| ———- | ——————————————– | —————————————— |<\/p>\n

| \u7279\u5f81\u7f29\u653e | \u628a\u4e0d\u540c\u8303\u56f4\u7684\u7279\u5f81\u62c9\u5230\u76f8\u8fd1\u5c3a\u5ea6，\u68af\u5ea6\u4e0b\u964d\u8d70\u76f4\u7ebf | \u591a\u7279\u5f81\u573a\u666f（\u6e29\u5ea6\u00d7\u5faa\u73af\u6b21\u6570\u00d7\u7535\u538b）\u8bad\u7ec3\u524d\u5fc5\u505a |<\/p>\n

| Z-score | (x-\u03bc)\/\u03c3，\u79bb\u5747\u503c\u51e0\u4e2a\u6807\u51c6\u5dee | \u5b9e\u9645\u5de5\u4f5c\u9ed8\u8ba4\u9009\u62e9 |<\/p>\n

| \u5747\u503c\u5f52\u4e00\u5316 | (x-\u03bc)\/(max-min)，\u8303\u56f4\u7ea6[-1,1] | \u5f02\u5e38\u503c\u5c11\u65f6\u53ef\u7528，\u4f46\u4e0d\u5982 Z-score |<\/p>\n

| \u5b66\u4e60\u7387\u8c03\u8bd5 | 0.001\u2192\u00d73 \u5faa\u73af\u8bd5，\u770b J \u66f2\u7ebf | \u68af\u5ea6\u4e0b\u964d\u4e0d\u6536\u655b\u65f6\u7684\u6807\u51c6\u6392\u67e5\u6cd5 |<\/p>\n

| \u7279\u5f81\u5de5\u7a0b | \u4ece\u65e7\u7279\u5f81\u9020\u65b0\u7279\u5f81（\u9762\u79ef\u00b2\u3001\u4ea4\u53c9\u7279\u5f81） | \u50a8\u80fd：\u5faa\u73af\u6b21\u6570\u00d7\u653e\u7535\u6df1\u5ea6=\u7efc\u5408\u8001\u5316\u6307\u6807 |<\/p>\n

| \u591a\u9879\u5f0f\u56de\u5f52 | \u0177=wx + w\u2082x\u00b2 + w\u2083x\u00b3 + b \u62df\u5408\u66f2\u7ebf | \u7535\u6c60\u5bb9\u91cf\u8870\u51cf\u4e0d\u662f\u76f4\u7ebf，\u9700\u8981\u591a\u9879\u5f0f\u62df\u5408 |<\/p>\n","protected":false},"excerpt":{"rendered":"

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