{"id":1753,"date":"2024-12-29T08:00:00","date_gmt":"2024-12-29T00:00:00","guid":{"rendered":"https:\/\/blog.laoyulaoyu.top\/?p=1753"},"modified":"2024-12-05T19:01:34","modified_gmt":"2024-12-05T11:01:34","slug":"%e6%9c%89%e8%b6%a3%ef%bc%81%e7%94%a8%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b%e7%a0%b4%e8%a7%a3%e8%82%a1%e5%b8%82%e5%af%86%e7%a0%81%ef%bc%8c%e6%8f%90%e5%8d%87%e6%8a%95%e8%b5%84%e8%83%9c%e7%8e%87","status":"publish","type":"post","link":"https:\/\/laoyulaoyu.com\/index.php\/2024\/12\/29\/%e6%9c%89%e8%b6%a3%ef%bc%81%e7%94%a8%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b%e7%a0%b4%e8%a7%a3%e8%82%a1%e5%b8%82%e5%af%86%e7%a0%81%ef%bc%8c%e6%8f%90%e5%8d%87%e6%8a%95%e8%b5%84%e8%83%9c%e7%8e%87\/","title":{"rendered":"\u6709\u8da3\uff01\u7528\u5fae\u5206\u65b9\u7a0b\u7834\u89e3\u80a1\u5e02\u5bc6\u7801\uff0c\u63d0\u5347\u6295\u8d44\u80dc\u7387"},"content":{"rendered":"\n<p>\u4f5c\u8005\uff1a<a href=\"https:\/\/www.laoyulaoyu.com\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8001\u4f59\u635e\u9c7c<\/a><\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-cyan-bluish-gray-color\">\u539f\u521b\u4e0d\u6613\uff0c\u8f6c\u8f7d\u8bf7\u6807\u660e\u51fa\u5904\u53ca\u539f\u4f5c\u8005\u3002<\/mark><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2024\/12\/image-41.png\" alt=\"\" class=\"wp-image-3260\"\/><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<pre class=\"wp-block-verse\"><strong>\u5199\u5728\u524d\u9762\u7684\u8bdd\uff1a<\/strong>\u8bf4\u8d77\u5fae\u5206\u65b9\u7a0b\uff0c\u4f60\u53ef\u80fd\u8ba4\u4e3a\u8fd9\u662f\u6570\u5b66\u8bfe\u672c\u4e0a\u7684\u62bd\u8c61\u6982\u5ff5\u3002\u4f46\u5b9e\u9645\u4e0a\uff0c\u5b83\u5728\u91d1\u878d\u9886\u57df\u7684\u5e94\u7528\u6f5c\u529b\u5de8\u5927\u3002\u5728\u8fd9\u7bc7\u6587\u7ae0\u4e2d\uff0c\u6211\u5c06\u5e26\u4f60\u4e86\u89e3<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u5fae\u5206\u65b9\u7a0b\u5982\u4f55\u5e2e\u52a9\u6211\u4eec\u66f4\u7cbe\u786e\u5730\u9884\u6d4b\u80a1\u7968\u4ef7\u683c<\/mark>\uff0c\u63ed\u793a\u8fde\u7eed\u589e\u957f\u6a21\u578b\u80cc\u540e\u7684\u6570\u5b66\u539f\u7406\uff0c\u5e76\u901a\u8fc7\u5b9e\u9645\u6848\u4f8b\u5c55\u793a\u5176\u9884\u6d4b\u80fd\u529b\u3002<\/pre>\n<\/blockquote>\n\n\n\n<p>\u5728\u6df1\u5165\u7814\u7a76\u80a1\u5e02\u9884\u6d4b\u548c\u5efa\u6a21\u65f6\uff0c\u5fae\u5206\u65b9\u7a0b\uff08ODEs\uff09\u7684\u4f7f\u7528\u53ef\u4ee5\u4e3a\u80a1\u7968\u4ef7\u683c\u7684\u589e\u957f\u52a8\u6001\u63d0\u4f9b\u5f3a\u5927\u7684\u6d1e\u5bdf\u529b\u3002\u4f46\u7a76\u7adf\u4ec0\u4e48\u662f\u5fae\u5206\u65b9\u7a0b\uff0c\u4e3a\u4ec0\u4e48\u5b83\u4eec\u5728\u91d1\u878d\u5efa\u6a21\u4e2d\u5982\u6b64\u91cd\u8981\uff1f\u8ba9\u6211\u4eec\u6df1\u5165\u63a2\u8ba8\u8fd9\u4e9b\u6570\u5b66\u5de5\u5177\u5982\u4f55\u5f71\u54cd\u6211\u4eec\u5bf9\u80a1\u7968\u8d70\u52bf\u7684\u7406\u89e3\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u4e00\u3001\u6982\u5ff5\u89e3\u6790<\/strong><br><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>1.1 \u4ec0\u4e48\u662f\u5fae\u5206\u65b9\u7a0b\uff1f<\/strong><\/h3>\n\n\n\n<p>\u5fae\u5206\u65b9\u7a0b\u662f\u5c06\u51fd\u6570\u4e0e\u5176\u5bfc\u6570\u8054\u7cfb\u8d77\u6765\u7684\u6570\u5b66\u65b9\u7a0b\u3002\u4ece\u672c\u8d28\u4e0a\u8bb2\uff0c\u5b83\u63cf\u8ff0\u4e86\u51fd\u6570\u5982\u4f55\u6839\u636e\u5176\u5f53\u524d\u72b6\u6001\u548c\u53d8\u5316\u7387\u968f\u65f6\u95f4\u53d1\u751f\u53d8\u5316\u3002\u4f8b\u5982\uff0c\u5fae\u5206\u65b9\u7a0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2024\/12\/image-42.png\" alt=\"\" class=\"wp-image-3262\"\/><\/figure>\n\n\n\n<p>\u800c\u7ecf\u6d4e\u6a21\u578b\u4e2d\u7684\u52a8\u6001\u53d8\u5316\uff0c\u5982\u6295\u8d44\u4e0e\u6d88\u8d39\u7684\u6301\u7eed\u5173\u7cfb\uff0c\u4e5f\u53ef\u4ee5\u7528\u5fae\u5206\u65b9\u7a0b\u6765\u5206\u6790\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>1.2 \u6301\u7eed\u589e\u957f\u6a21\u5f0f<\/strong><\/h3>\n\n\n\n<p>\u8fde\u7eed\u589e\u957f\u5fae\u5206\u65b9\u7a0b\u7684\u89e3\u662f\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2024\/12\/image-43.png\" alt=\"\" class=\"wp-image-3263\"\/><\/figure>\n\n\n\n<p>\u8fd9\u4e2a\u6307\u6570\u51fd\u6570\u63cf\u8ff0\u4e86\u4e00\u4e2a\u91cf P \u5982\u4f55\u968f\u65f6\u95f4\u4e0d\u65ad\u589e\u957f\u3002\u5728\u8fd9\u4e2a\u6a21\u578b\u4e2d\uff0ce \u7684\u4f7f\u7528\u53cd\u6620\u4e86\u8fde\u7eed\u590d\u5229\u6548\u5e94\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>1.3 \u8fde\u7eed\u590d\u5229<\/strong><\/h3>\n\n\n\n<p>\u5982\u679c\u6295\u8d44 100 \u7f8e\u5143\uff0c\u5e74\u5229\u7387\u4e3a 5%\uff0c\u8fde\u7eed\u590d\u5229\u8ba1\u7b97\uff0c\u4e00\u5e74\u540e\u7684\u91d1\u989d\u8ba1\u7b97\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2024\/12\/image-44.png\" alt=\"\" class=\"wp-image-3264\"\/><\/figure>\n\n\n\n<p>\u8fde\u7eed\u590d\u5229\u8ba1\u7b97\u7684\u7ed3\u679c\u7ea6\u4e3a 105.13 \u7f8e\u5143\uff0c\u7565\u9ad8\u4e8e\u79bb\u6563\u5e74\u590d\u5229\u8ba1\u7b97\u7684 105 \u7f8e\u5143\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>1.4 \u4e3a\u4ec0\u4e48\u4f7f\u7528\u8fde\u7eed\u6a21\u578b\uff1f<\/strong><\/h3>\n\n\n\n<p><strong>\u73b0\u5b9e\u4e16\u754c\u7684\u5e94\u7528\uff1a<\/strong>\u8bb8\u591a\u81ea\u7136\u548c\u91d1\u878d\u8fc7\u7a0b\u6d89\u53ca\u8fde\u7eed\u53d8\u5316\u800c\u975e\u79bb\u6563\u6b65\u9aa4\u3002\u4f8b\u5982\uff0c\u7528\u8fde\u7eed\u51fd\u6570\u5bf9\u91d1\u878d\u3001\u4eba\u53e3\u589e\u957f\u548c\u67d0\u4e9b\u7269\u7406\u8fc7\u7a0b\u8fdb\u884c\u5efa\u6a21\u66f4\u4e3a\u51c6\u786e\u3002\u8fde\u7eed\u6a21\u578b\u53ef\u4ee5\u6355\u6349\u5230\u79bb\u6563\u6a21\u578b\u53ef\u80fd\u5ffd\u7565\u7684\u589e\u957f\u548c\u53d8\u5316\u7684\u7ec6\u5fae\u5dee\u522b\u3002<\/p>\n\n\n\n<p><strong>\u6570\u5b66\u7684\u4f18\u96c5\uff1a<\/strong>\u8fde\u7eed\u6a21\u578b\u53ef\u4ee5\u8fdb\u884c\u7cbe\u786e\u7684\u6570\u5b66\u5206\u6790\u548c\u9884\u6d4b\u3002\u5b83\u4eec\u662f\u5fae\u79ef\u5206\u7684\u57fa\u7840\uff0c\u4e0e\u79bb\u6563\u6a21\u578b\u76f8\u6bd4\uff0c\u5b83\u4eec\u80fd\u66f4\u81ea\u7136\u5730\u63cf\u8ff0\u8bb8\u591a\u8fc7\u7a0b\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u8fde\u7eed\u590d\u5229\u548c\u6307\u6570\u589e\u957f\u5728\u91d1\u878d\u5efa\u6a21\u548c\u5176\u4ed6\u9886\u57df\u81f3\u5173\u91cd\u8981\u7684\u539f\u56e0\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>1.5 \u80a1\u7968\u5206\u6790\u4e2d ODE \u7684\u529b\u91cf<\/strong><\/h3>\n\n\n\n<p>\u5728\u80a1\u7968\u5206\u6790\u4e2d\uff0cODE \u53ef\u7528\u4e8e\u5efa\u7acb\u80a1\u7968\u4ef7\u683c\u6a21\u578b\u548c\u4f18\u5316\u9884\u6d4b\u3002\u901a\u8fc7\u5e94\u7528\u8fde\u7eed\u589e\u957f\u6a21\u578b\uff0c\u6211\u4eec\u53ef\u4ee5\u51c6\u786e\u6a21\u62df\u80a1\u7968\u4ef7\u683c\u5982\u4f55\u968f\u65f6\u95f4\u6f14\u53d8\uff0c\u4ece\u800c\u5e2e\u52a9\u6295\u8d44\u8005\u505a\u51fa\u660e\u667a\u7684\u51b3\u7b56\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2024\/12\/image-45.png\" alt=\"\" class=\"wp-image-3265\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><br><strong>\u4e8c\u3001\u5b9e\u4f8b\uff1aMETA \u80a1\u7968\u5206\u6790<\/strong><\/h2>\n\n\n\n<p>\u4ee5\u4e0b\u662f\u6211\u4eec\u5982\u4f55\u4f7f\u7528 ODE \u6a21\u578b\u5206\u6790 META \u80a1\u7968\u4ef7\u683c\u7684\u6b65\u9aa4\u5206\u89e3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2.1 \u6570\u636e\u83b7\u53d6<\/strong><\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>import numpy as np\nimport yfinance as yf\nfrom scipy.integrate import odeint\nimport plotly.graph_objs as go\nfrom plotly.subplots import make_subplots\n\n# Fetch META stock data\nmeta_data = yf.download('META', period='1y', interval='1d')\nclose_prices = meta_data&#91;'Close'].values\ndates = meta_data.index<\/code><\/pre>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4f7f\u7528 yfinance \u5e93\u4e0b\u8f7d\u8fc7\u53bb\u4e00\u5e74 META \u7684\u5386\u53f2\u80a1\u7968\u6570\u636e\u3002<\/li>\n\n\n\n<li>\u5143\u6570\u636e\u5305\u542b\u591a\u4e2a\u5217\uff0c\u4f46\u6211\u4eec\u53ea\u5728 close_prices \u4e2d\u63d0\u53d6 &#8220;\u6536\u76d8 &#8220;\u4ef7\u683c\uff0c\u5728 dates \u4e2d\u63d0\u53d6\u65e5\u671f\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2.2 ODE \u7cfb\u7edf\u5b9a\u4e49<\/strong><\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code># Define the ODE system (simple growth model for stock prices)\ndef stock_model(P, t, r):\n    return r * P\n\n# Initial condition (starting stock price)\nP0 = close_prices&#91;0]\n\n# Time points (days)\nt = np.linspace(0, len(close_prices)-1, len(close_prices))<\/code><\/pre>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5728 stock_model \u51fd\u6570\u4e2d\u5b9a\u4e49\u4e86 ODE \u7cfb\u7edf\u3002\u8be5\u51fd\u6570\u8868\u793a\u5fae\u5206\u65b9\u7a0b\uff0c\u5176\u4e2d P \u662f\u80a1\u4ef7\uff0cr \u662f\u589e\u957f\u7387\u3002<\/li>\n\n\n\n<li>P0 \u8bbe\u7f6e\u4e3a\u521d\u59cb\u80a1\u4ef7\uff08\u7b2c\u4e00\u5929\u7684\u6536\u76d8\u4ef7\uff09\u3002<\/li>\n\n\n\n<li>t \u4ee3\u8868\u6c42\u89e3 ODE \u7684\u65f6\u95f4\u70b9\uff0c\u8de8\u5ea6\u4ece 0 \u5230\u5929\u6570\u51cf 1\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>2.3 \u8bef\u5dee\u8ba1\u7b97\u4e0e\u4f18\u5316<\/strong><\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code># Function to calculate MAPE\ndef mean_absolute_percentage_error(y_true, y_pred):\n    return np.mean(np.abs((y_true - y_pred) \/ y_true)) * 100\n\n# Define a range of r values to evaluate, from 0 to 0.005\nr_values = np.linspace(0, 0.005, 50)\n\n# Array to store MAPE values\nmape_values = &#91;]\n\n# Loop over r values and calculate MAPE\nfor r in r_values:\n    P_pred = odeint(stock_model, P0, t, args=(r,)).flatten()\n    mape_values.append(mean_absolute_percentage_error(close_prices, P_pred))<\/code><\/pre>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5b9a\u4e49\u5e73\u5747\u7edd\u5bf9\u767e\u5206\u6bd4\u8bef\u5dee\uff08mean_absolute_percentage_error\uff09\u6765\u8ba1\u7b97\u5e73\u5747\u7edd\u5bf9\u767e\u5206\u6bd4\u8bef\u5dee\uff08MAPE\uff09\uff0c\u4ee5\u8861\u91cf\u6a21\u578b\u9884\u6d4b\u7684\u51c6\u786e\u6027\u3002<\/li>\n\n\n\n<li>r_values \u5b9a\u4e49\u4e86\u8981\u8bc4\u4f30\u7684\u589e\u957f\u7387\u8303\u56f4\uff0c\u4ece 0 \u5230 0.005\u3002<\/li>\n\n\n\n<li>\u5faa\u73af\u8ba1\u7b97\u8fd9\u4e9b\u589e\u957f\u7387\uff0c\u6c42\u89e3\u6bcf\u4e2a\u589e\u957f\u7387\u7684 ODE\uff0c\u5e76\u8ba1\u7b97 MAPE\uff0c\u4ee5\u4e86\u89e3\u6bcf\u4e2a\u6a21\u578b\u4e0e\u5b9e\u9645\u6570\u636e\u7684\u62df\u5408\u7a0b\u5ea6\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2.4 \u4f18\u5316<\/strong><\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code># Find the optimal r with the minimum MAPE\noptimal_r = r_values&#91;np.argmin(mape_values)]\n\n# Generate predictions with optimal r\nP_pred_optimal = odeint(stock_model, P0, t, args=(optimal_r,)).flatten()<\/code><\/pre>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u901a\u8fc7\u5bfb\u627e\u4f7f MAPE \u6700\u5c0f\u7684 r \u503c\u6765\u786e\u5b9a\u6700\u4f73\u589e\u957f\u7387\uff08optimal_r\uff09\u3002<\/li>\n\n\n\n<li>\u5229\u7528\u8fd9\u4e00\u6700\u4f18\u589e\u957f\u7387\uff0c\u6211\u4eec\u751f\u6210\u4e86\u9884\u6d4b\u80a1\u4ef7\uff08P_pred_optimal\uff09\u4f9b\u6bd4\u8f83\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2.5 \u7ed8\u56fe<\/strong><\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code># Create subplots\nfig = make_subplots(\n    rows=2, cols=1,\n    subplot_titles=(\"MAPE vs. Growth Rate (r)\", f\"META Stock Prices with Optimal r = {optimal_r:.6f}\"),\n    row_heights=&#91;0.4, 0.6]  # Adjust height ratio for better layout\n)\n\n# Add MAPE vs. Growth Rate (r) plot\nfig.add_trace(\n    go.Scatter(x=r_values, y=mape_values, mode='lines', name='MAPE'),\n    row=1, col=1\n)\n\n# Add META Stock Prices plot\nfig.add_trace(\n    go.Scatter(x=dates, y=close_prices, mode='lines', name='Actual Prices', line=dict(color='blue')),\n    row=2, col=1\n)\nfig.add_trace(\n    go.Scatter(x=dates, y=P_pred_optimal, mode='lines', name=f'Predicted Prices (Optimal r = {optimal_r:.6f})', line=dict(color='red')),\n    row=2, col=1\n)\n\n# Update layout\nfig.update_layout(\n    title=\"Stock Analysis with Growth Rate Optimization\",\n    xaxis_title=\"Growth Rate (r)\",  # Title for the x-axis of the first subplot\n    yaxis_title=\"MAPE (%)\",  # Title for the y-axis of the first subplot\n    height=800,  # Adjust height for both subplots\n    showlegend=True\n)\n\n# Update x-axis and y-axis titles for the second subplot\nfig.update_xaxes(title_text=\"Date\", row=2, col=1)\nfig.update_yaxes(title_text=\"Price\", row=2, col=1)\n\n# Show the combined plot\nfig.show()<\/code><\/pre>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2024\/12\/image-46.png\" alt=\"\" class=\"wp-image-3267\"\/><\/figure>\n\n\n\n<p>\u6211\u4eec\u4f7f\u7528 Plotly \u521b\u5efa\u5b50\u56fe\u6765\u76f4\u89c2\u663e\u793a\u7ed3\u679c\u3002\u4e0a\u9762\u7684\u7b2c\u4e00\u4e2a\u5b50\u56fe\u663e\u793a\u4e86 MAPE \u4e0e\u589e\u957f\u7387\u7684\u5173\u7cfb\uff0c\u8ba9\u6211\u4eec\u770b\u5230\u6a21\u578b\u7684\u51c6\u786e\u6027\u5728\u4e0d\u540c\u589e\u957f\u7387\u4e0b\u7684\u53d8\u5316\u60c5\u51b5\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2024\/12\/1733395134412-1024x278.png\" alt=\"\" class=\"wp-image-3268\"\/><\/figure>\n\n\n\n<p>\u7b2c\u4e8c\u4e2a\u5b50\u56fe\u663e\u793a\u4e86\u5b9e\u9645\u80a1\u4ef7\u548c\u9884\u6d4b\u80a1\u4ef7\uff0c\u7a81\u51fa\u663e\u793a\u4e86\u6211\u4eec\u7684\u6a21\u578b\u4e0e\u6700\u4f18\u589e\u957f\u7387\u7684\u62df\u5408\u7a0b\u5ea6\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2.6 Try It Yourself<\/strong><\/h3>\n\n\n\n<p>\u60f3\u8981\u6df1\u5165\u4e86\u89e3\u5982\u4f55\u5229\u7528 ODE \u6a21\u578b\u4f18\u5316\u80a1\u7968\u4ef7\u683c\uff1f<\/p>\n\n\n\n<p>\u60a8\u53ef\u4ee5\u5728 Google Colab \u4e0a\u8fd0\u884c\u4ee3\u7801\uff0c\u5e76\u5bf9\u589e\u957f\u7387\u3001MAPE \u7b49\u8fdb\u884c\u5b9e\u9a8c\u3002\u5c06\u4e0b\u9762\u5730\u5740\u7684\u5185\u5bb9\u590d\u5236\u4e00\u4efd\uff0c\u7136\u540e\u770b\u770b\u4e0d\u540c\u7684\u589e\u957f\u7387\u5bf9\u80a1\u4ef7\u9884\u6d4b\u6709\u4f55\u5f71\u54cd\u3002\uff08\u7ed9\u4f60\u4eec\u4fee\u6539\u6743\u9650\u662f\u4e3a\u4e86\u9a6c\u4e0a\u80fd\u770b\u5230\u8fd0\u884c\u6548\u679c\u7684\uff0c\u4e0d\u8981\u518d\u76f4\u63a5\u6539\u6211\u4ee3\u7801\u4e86\uff0c\u540e\u9762\u7684\u8bfb\u8005\u4e5f\u8981\u770b\uff09<\/p>\n\n\n\n<p>\u5730\u5740\uff1a<a href=\"https:\/\/colab.research.google.com\/drive\/13_BoT7X70zhcjN5Vq7f2vtouZ-orYBYp?usp=sharing\">https:\/\/colab.research.google.com\/drive\/13_BoT7X70zhcjN5Vq7f2vtouZ-orYBYp?usp=sharing<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u4e09\u3001\u89c2\u70b9\u603b\u7ed3<\/strong><\/h2>\n\n\n\n<p>\u5fae\u5206\u65b9\u7a0b\uff0c\u5c24\u5176\u662f\u6d89\u53ca\u8fde\u7eed\u589e\u957f\u6a21\u578b\u7684\u5fae\u5206\u65b9\u7a0b\uff0c\u5728\u80a1\u7968\u5206\u6790\u548c\u91d1\u878d\u9884\u6d4b\u4e2d\u53d1\u6325\u7740\u4e3e\u8db3\u8f7b\u91cd\u7684\u4f5c\u7528\u3002\u5229\u7528\u8fd9\u4e9b\u6570\u5b66\u6a21\u578b\u7684\u4f18\u8d8a\u6027\uff0c\u6211\u4eec\u53ef\u4ee5\u83b7\u5f97\u66f4\u51c6\u786e\u3001\u66f4\u6709\u6d1e\u5bdf\u529b\u7684\u9884\u6d4b\uff0c\u6700\u7ec8\u505a\u51fa\u66f4\u597d\u7684\u6295\u8d44\u51b3\u7b56\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5fae\u5206\u65b9\u7a0b\u5728\u91d1\u878d\u5efa\u6a21\u4e2d\u7684\u91cd\u8981\u6027<\/strong>\uff1a\u5fae\u5206\u65b9\u7a0b\u80fd\u591f\u6355\u6349\u5230\u80a1\u7968\u4ef7\u683c\u53d8\u5316\u7684\u52a8\u6001\u8fc7\u7a0b\uff0c\u5bf9\u4e8e\u7406\u89e3\u548c\u9884\u6d4b\u80a1\u7968\u8d70\u52bf\u81f3\u5173\u91cd\u8981\u3002<\/li>\n\n\n\n<li><strong>\u8fde\u7eed\u6a21\u578b\u7684\u4f18\u52bf<\/strong>\uff1a\u8fde\u7eed\u589e\u957f\u6a21\u578b\u80fd\u591f\u66f4\u51c6\u786e\u5730\u63cf\u8ff0\u8bb8\u591a\u81ea\u7136\u548c\u91d1\u878d\u8fc7\u7a0b\uff0c\u5982\u5229\u7387\u3001\u4eba\u53e3\u589e\u957f\u548c\u7269\u7406\u8fc7\u7a0b\uff0c\u4e0e\u79bb\u6563\u6a21\u578b\u76f8\u6bd4\uff0c\u5b83\u4eec\u80fd\u63d0\u4f9b\u66f4\u7ec6\u81f4\u7684\u589e\u957f\u548c\u53d8\u5316\u7ec6\u8282\u3002<\/li>\n\n\n\n<li><strong>\u6570\u5b66\u4f18\u96c5\u4e0e\u5b9e\u9645\u5e94\u7528\u7684\u7ed3\u5408<\/strong>\uff1a\u8fde\u7eed\u6a21\u578b\u4e0d\u4ec5\u5728\u6570\u5b66\u4e0a\u63d0\u4f9b\u4e86\u7cbe\u786e\u7684\u5206\u6790\u5de5\u5177\uff0c\u800c\u4e14\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5982\u80a1\u7968\u5206\u6790\uff0c\u80fd\u591f\u5e2e\u52a9\u6295\u8d44\u8005\u505a\u51fa\u66f4\u660e\u667a\u7684\u51b3\u7b56\u3002<\/li>\n\n\n\n<li><strong>\u6570\u636e\u5206\u6790\u4e0e\u4f18\u5316\u7684\u91cd\u8981\u6027<\/strong>\uff1a\u901a\u8fc7\u6570\u636e\u83b7\u53d6\u3001\u6a21\u578b\u5b9a\u4e49\u3001\u8bef\u5dee\u8ba1\u7b97\u548c\u4f18\u5316\uff0c\u53ef\u4ee5\u63d0\u9ad8\u80a1\u7968\u4ef7\u683c\u9884\u6d4b\u7684\u51c6\u786e\u6027\uff0c\u4ece\u800c\u5728\u6295\u8d44\u51b3\u7b56\u4e2d\u83b7\u5f97\u66f4\u597d\u7684\u7ed3\u679c\u3002<\/li>\n\n\n\n<li><strong>\u5b9e\u9645\u6848\u4f8b\u7684\u5c55\u793a<\/strong>\uff1a\u901a\u8fc7\u5bf9META\u80a1\u7968\u4ef7\u683c\u7684\u5206\u6790\uff0c\u7f51\u9875\u5c55\u793a\u4e86\u5982\u4f55\u5b9e\u9645\u5e94\u7528\u5fae\u5206\u65b9\u7a0b\u6a21\u578b\u6765\u4f18\u5316\u80a1\u7968\u5206\u6790\u7684\u8fc7\u7a0b\uff0c\u5e76\u901a\u8fc7\u53ef\u89c6\u5316\u5de5\u5177\u6765\u76f4\u89c2\u5730\u5c55\u793a\u5206\u6790\u7ed3\u679c\u3002<\/li>\n<\/ul>\n\n\n\n<p><em>\u611f\u8c22\u60a8\u9605\u8bfb\u5230\u6700\u540e\uff0c\u5e0c\u671b\u672c\u6587\u80fd\u7ed9\u60a8\u5e26\u6765\u65b0\u7684\u6536\u83b7\u3002\u795d\u60a8\u6295\u8d44\u987a\u5229\uff01\u5982\u679c\u5bf9\u6587\u4e2d\u7684\u5185\u5bb9\u6709\u4efb\u4f55\u7591\u95ee\uff0c\u8bf7\u7ed9\u6211\u7559\u8a00\uff0c\u5fc5\u590d\u3002<\/em><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-text-align-center\" id=\"a1c6\">\u672c\u6587\u5185\u5bb9\u4ec5\u9650\u6280\u672f\u63a2\u8ba8\u548c\u5b66\u4e60\uff0c\u4e0d\u6784\u6210\u4efb\u4f55\u6295\u8d44\u5efa\u8bae\u3002<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4f5c\u8005\uff1a\u8001\u4f59\u635e\u9c7c \u539f\u521b\u4e0d\u6613\uff0c\u8f6c\u8f7d\u8bf7\u6807\u660e\u51fa\u5904\u53ca\u539f\u4f5c\u8005\u3002&#8230;<\/p>\n<div class=\"more-link-wrapper\"><a class=\"more-link\" href=\"https:\/\/laoyulaoyu.com\/index.php\/2024\/12\/29\/%e6%9c%89%e8%b6%a3%ef%bc%81%e7%94%a8%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b%e7%a0%b4%e8%a7%a3%e8%82%a1%e5%b8%82%e5%af%86%e7%a0%81%ef%bc%8c%e6%8f%90%e5%8d%87%e6%8a%95%e8%b5%84%e8%83%9c%e7%8e%87\/\">Continue reading<span class=\"screen-reader-text\">\u6709\u8da3\uff01\u7528\u5fae\u5206\u65b9\u7a0b\u7834\u89e3\u80a1\u5e02\u5bc6\u7801\uff0c\u63d0\u5347\u6295\u8d44\u80dc\u7387<\/span><\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[5,6],"class_list":["post-1753","post","type-post","status-publish","format-standard","hentry","category-aiinvest","tag-ai","tag-6","entry"],"_links":{"self":[{"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/posts\/1753","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/comments?post=1753"}],"version-history":[{"count":1,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/posts\/1753\/revisions"}],"predecessor-version":[{"id":1754,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/posts\/1753\/revisions\/1754"}],"wp:attachment":[{"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/media?parent=1753"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/categories?post=1753"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/tags?post=1753"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}