{"id":39257,"date":"2025-03-07T03:01:54","date_gmt":"2025-03-06T19:01:54","guid":{"rendered":"https:\/\/17aitech.com\/?p=39257"},"modified":"2025-03-07T03:01:54","modified_gmt":"2025-03-06T19:01:54","slug":"%e5%bf%ab1000%e5%80%8d%ef%bc%8c%e5%8d%81%e4%b8%87%e5%88%86%e4%b9%8b%e4%b8%80%e8%af%af%e5%b7%ae%ef%bc%8c%e6%b7%b1%e5%ba%a6%e5%ad%a6%e4%b9%a0%e6%a8%a1%e5%9e%8b%e9%99%8d%e4%bd%8e%e6%a0%b8%e8%81%9a","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=39257","title":{"rendered":"\u5feb1000\u500d\uff0c\u5341\u4e07\u5206\u4e4b\u4e00\u8bef\u5dee\uff0c\u6df1\u5ea6\u5b66\u4e60\u6a21\u578b\u964d\u4f4e\u6838\u805a\u53d8\u7b49\u79bb\u5b50\u4f53\u9884\u6d4b\u8ba1\u7b97\u6210\u672c"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-03-06-7\" target=\"_blank\">\u5feb1000\u500d\uff0c\u5341\u4e07\u5206\u4e4b\u4e00\u8bef\u5dee\uff0c\u6df1\u5ea6\u5b66\u4e60\u6a21\u578b\u964d\u4f4e\u6838\u805a\u53d8\u7b49\u79bb\u5b50\u4f53\u9884\u6d4b\u8ba1\u7b97\u6210\u672c<\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-440b16aeb45f05056b13aae7a07f67e7.jpeg\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-440b16aeb45f05056b13aae7a07f67e7.jpeg\"><\/a><\/p>\n<p>\u7f16\u8f91\u00a0| 2049<\/p>\n<p>\u5728\u805a\u53d8\u80fd\u6e90\u7814\u7a76\u9886\u57df\uff0c\u7b49\u79bb\u5b50\u4f53\u52a8\u529b\u5b66\u6a21\u62df\u626e\u6f14\u7740\u5173\u952e\u89d2\u8272\u3002\u7136\u800c\uff0c\u975e\u7ebf\u6027\u00a0Fokker-Planck-Landau\uff08FPL\uff09\u78b0\u649e\u7b97\u5b50\u7684\u8ba1\u7b97\u6210\u672c\u6781\u9ad8\uff0c\u5c24\u5176\u5728\u5168\u6258\u5361\u9a6c\u514b\u4f53\u79ef\u5efa\u6a21\u4e2d\uff0c\u5176\u8ba1\u7b97\u65f6\u95f4\u968f\u7b49\u79bb\u5b50\u4f53\u7c92\u5b50\u79cd\u7c7b\u6570\u91cf\u00a0n\u00a0\u5448\u00a0O(n\u00b2)\u00a0\u589e\u957f\uff0c\u4e25\u91cd\u5236\u7ea6\u4e86\u6a21\u62df\u6548\u7387\u3002<\/p>\n<p>\u4e3a\u7a81\u7834\u8fd9\u4e00\u74f6\u9888\uff0c\u6765\u81ea\u851a\u5c71\u56fd\u7acb\u79d1\u5b66\u6280\u672f\u9662\uff08UNIST\uff09\u7684\u7814\u7a76\u4eba\u5458\u5f00\u53d1\u4e86\u4e00\u79cd\u5168\u65b0\u7684<mark data-id=\"01946acc-d031-4c0e-909c-f062643b7273\" data-type=\"tech_methods\">\u6df1\u5ea6\u5b66\u4e60<\/mark>\u6846\u67b6\u2014\u2014FPL-net\uff0c\u5229\u7528\u4eba\u5de5\u667a\u80fd\u6280\u672f\u52a0\u901f\u6c42\u89e3\u8fd9\u4e00\u590d\u6742\u95ee\u9898\u3002<\/p>\n<p>FPL-net\u00a0\u83b7\u5f97\u7ed3\u679c\u7684\u901f\u5ea6\u6bd4\u4ee5\u524d\u7684\u65b9\u6cd5\u5feb 1,000 \u500d\uff0c\u8bef\u5dee\u5e45\u5ea6\u4ec5\u4e3a\u5341\u4e07\u5206\u4e4b\u4e00\uff0c\u8868\u73b0\u51fa\u5353\u8d8a\u7684\u51c6\u786e\u6027\u3002<\/p>\n<p>\u8be5\u7814\u7a76\u4ee5\u300c<em>FPL-net\uff1a\u00a0A deep learning framework for solving the nonlinear Fokker-Planck-Landau collision operator for anisotropic temperature relaxation<\/em>\u300d\u4e3a\u9898\uff0c\u4e8e\u00a02025\u00a0\u5e74\u00a02\u00a0\u6708\u00a015\u00a0\u65e5\u53d1\u5e03\u5728\u300a<em>Journal of Computational Physics<\/em>\u300b\u4e0a\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-0cc6d91c88ac58e20aaa29d166a14eca.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-0cc6d91c88ac58e20aaa29d166a14eca.png\"><\/a><\/section>\n<p>\u8bba\u6587\u94fe\u63a5\uff1a<em>https:\/\/doi.org\/10.1016\/j.jcp.2024.113665<\/em><\/p>\n<p>\u76f8\u5173\u62a5\u9053\uff1a<em>https:\/\/phys.org\/news\/2025-02-deep-boosts-plasma-nuclear-fusion.html<\/em><\/p>\n<p><strong>\u7814\u7a76\u80cc\u666f<\/strong><\/p>\n<p>\u5728\u6258\u5361\u9a6c\u514b\u805a\u53d8\u88c5\u7f6e\u4e2d\uff0c\u975e\u7ebf\u6027\u00a0Fokker-Planck\u00a0\u65b9\u7a0b\u662f\u63cf\u8ff0\u7b49\u79bb\u5b50\u4f53\u78b0\u649e\u8fc7\u7a0b\u7684\u5173\u952e\u6570\u5b66\u5de5\u5177\u3002\u4f20\u7edf\u4e0a\uff0c\u8fd9\u4e00\u65b9\u7a0b\u53ef\u8868\u793a\u4e3a\u00a0Landau\u00a0\u5f62\u5f0f\u6216\u00a0Rosenbluth\u00a0\u5f62\u5f0f\u7684\u79ef\u5206\u5fae\u5206\u65b9\u7a0b\uff0c\u4e24\u79cd\u5f62\u5f0f\u90fd\u9700\u8981\u590d\u6742\u7684\u6570\u503c\u65b9\u6cd5\u6c42\u89e3\u3002<\/p>\n<p>\u5c3d\u7ba1\u7814\u7a76\u4eba\u5458\u5f00\u53d1\u4e86\u591a\u79cd\u6570\u503c\u65b9\u6cd5\u4ee5\u786e\u4fdd\u8d28\u91cf\u3001<mark data-id=\"d6ee5e5b-43ff-4c41-87ff-f34c234d0e32\" data-type=\"concepts\">\u52a8\u91cf<\/mark>\u548c\u80fd\u91cf\u5b88\u6052\uff0c\u4f46\u7531\u4e8e\u78b0\u649e\u7b97\u5b50\u7684\u975e\u7ebf\u6027\u7279\u6027\uff0c\u5176\u8ba1\u7b97\u901f\u5ea6\u4f9d\u7136\u8fdc\u4f4e\u4e8e\u7ebf\u6027\u7b97\u5b50\uff0c\u6210\u4e3a\u7b49\u79bb\u5b50\u4f53\u6a21\u62df\u4e2d\u7684\u8ba1\u7b97\u74f6\u9888\u3002<\/p>\n<p><strong>FPL-net\uff1a\u7a81\u7834\u6027\u7684<mark data-id=\"01946acc-d031-4c0e-909c-f062643b7273\" data-type=\"tech_methods\">\u6df1\u5ea6\u5b66\u4e60<\/mark>\u89e3\u51b3\u65b9\u6848<\/strong><\/p>\n<p>FPL-net\u00a0\u7684\u6838\u5fc3\u662f\u4e00\u4e2a\u7ecf\u8fc7\u4f18\u5316\u7684\u5168<mark data-id=\"85c4b79b-6428-4184-b9bc-5beb6e2b1f3f\" data-type=\"tech_methods\">\u5377\u79ef\u795e\u7ecf\u7f51\u7edc<\/mark>\uff0c\u91c7\u7528\u4e86\u00a0U-Net\u00a0\u67b6\u6784\u4f5c\u4e3a\u9aa8\u5e72\u7f51\u7edc\u3002<\/p>\n<p>U-Net\u00a0\u6700\u521d\u4e3a\u751f\u7269<mark data-id=\"73801b53-3473-47c2-a74a-c1c1460c10fa\" data-type=\"tech_tasks\">\u533b\u5b66\u56fe\u50cf\u5206\u5272<\/mark>\u9886\u57df\u8bbe\u8ba1\uff0c\u7531\u4e00\u4e2a\u6355\u83b7\u8f93\u5165\u56fe\u50cf\u4e0a\u4e0b\u6587\u7684\u7f16\u7801\u5668\u548c\u4e00\u4e2a\u8d1f\u8d23\u7cbe\u786e\u5b9a\u4f4d\u548c\u9ad8\u5206\u8fa8\u7387\u7684\u89e3\u7801\u5668\u7ec4\u6210\u3002<\/p>\n<p>\u8fd9\u79cd\u7f16\u7801\u5668-\u89e3\u7801\u5668\u67b6\u6784\u80fd\u591f\u4fdd\u6301\u8f93\u5165\u8f93\u51fa\u5c3a\u5bf8\u4e00\u81f4\uff0c\u4fdd\u7559\u9ad8\u5206\u8fa8\u7387\u5c40\u90e8\u4fe1\u606f\uff0c\u5e76\u4e14\u5728\u76f8\u5bf9\u8f83\u5c0f\u7684\u6a21\u578b\u89c4\u6a21\u4e0b\u5b9e\u73b0\u5f3a\u5927\u6027\u80fd\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-974f2e83ab62463b56c9fccc472dc635.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-974f2e83ab62463b56c9fccc472dc635.png\"><\/a><\/section>\n<p>\u56fe\u793a\uff1a\u4ee5\u4e8c\u7ef4\u901f\u5ea6\u7f51\u683c\u4fe1\u606f\u4f5c\u4e3a\u8f93\u5165\u7684\u4efb\u610f\u00a0PDF fN\u00a0\u7684\u00a0FPL-net\u00a0\u793a\u610f\u56fe\u3002\uff08\u6765\u6e90\uff1a\u8bba\u6587\uff09<\/p>\n<p>FPL\u00a0\u65b9\u7a0b\u53ef\u4ee5\u7528\u4ee5\u4e0b\u5f62\u5f0f\u8868\u793a\uff1a<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-f11b874b1ecd94aa027b48e45c31fb8b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-f11b874b1ecd94aa027b48e45c31fb8b.png\"><\/a><\/section>\n<p>\u5176\u4e2d\uff0ca\u00a0\u548c\u00a0b\u00a0\u4ee3\u8868\u4e0d\u540c\u7c92\u5b50\u79cd\u7c7b\uff0cf\u00a0\u8868\u793a<mark data-id=\"390f4777-ec4d-4d4e-890b-fcb64dcb764c\" data-type=\"concepts\">\u6982\u7387\u5206\u5e03<\/mark>\u51fd\u6570\uff0cC_ab\u00a0\u8868\u793a\u00a0a\u00a0\u548c\u00a0b\u00a0\u4e4b\u95f4\u7684\u78b0\u649e\u7b97\u5b50\uff08\u5728\u5404\u81ea\u00a0v\u00a0\u548c\u00a0v&#8217;\u00a0\u5750\u6807\u7cfb\u4e2d\uff09\uff0ce\u3001m\u3001\u03b5\u2080\u00a0\u548c\u00a0ln\u039b\u00a0\u5206\u522b\u662f\u7535\u8377\u3001\u8d28\u91cf\u3001\u771f\u7a7a\u4ecb\u7535\u5e38\u6570\u548c\u5e93\u4ed1\u5bf9\u6570\u3002<mark data-id=\"64cc669a-900a-449c-ac73-f71d0e91fc86\" data-type=\"concepts\">\u5f20\u91cf<\/mark> U\u00a0\u5b9a\u4e49\u4e3a\uff1a<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-ef742b79a1ce87448d90688788d3ad5b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-ef742b79a1ce87448d90688788d3ad5b.png\"><\/a><\/section>\n<p>\u5176\u4e2d\u00a0u = v &#8211; v&#8217;\u00a0\u662f\u76f8\u5bf9\u901f\u5ea6\u77e2\u91cf\uff0cI\u00a0\u4e3a\u5355\u4f4d<mark data-id=\"64cc669a-900a-449c-ac73-f71d0e91fc86\" data-type=\"concepts\">\u5f20\u91cf<\/mark>\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-ca095597b3c7716b1cb09cf65f177d66.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-ca095597b3c7716b1cb09cf65f177d66.png\"><\/a><\/section>\n<p>\u56fe\u793a\uff1a\u8bad\u7ec3\u8fc7\u7a0b\u6982\u8ff0\u3002\uff08\u6765\u6e90\uff1a\u8bba\u6587\uff09<\/p>\n<p>\u7814\u7a76\u56e2\u961f\u4f7f\u7528\u4f20\u7edf\u00a0FPL\u00a0\u6c42\u89e3\u5668\u751f\u6210\u8bad\u7ec3\u6570\u636e\uff0c\u8be5\u6c42\u89e3\u5668\u91c7\u7528\u6709\u9650\u4f53\u79ef\u6cd5\u548c\u00a0Picard\u00a0\u8fed\u4ee3\u65b9\u6848\uff0c\u5728\u4e8c\u7ef4\u901f\u5ea6\u7f51\u683c\u4e0a\u5b9e\u73b0\u7535\u5b50\u7b49\u79bb\u5b50\u4f53\u6a21\u62df\uff0c\u7f51\u683c\u5c3a\u5bf8\u4e3a\u5782\u76f4\u8f74\uff08N\u22a5\uff09\u548c\u5e73\u884c\u8f74\uff08N\u2225\uff09\u5747\u4e3a\u00a0N\u22a5\u00d7N\u2225=40\u00d760\u3002<\/p>\n<p>\u4e3a\u786e\u4fdd\u6a21\u578b\u7684\u6cdb\u5316\u80fd\u529b\uff0c\u7814\u7a76\u4eba\u5458\u51c6\u5907\u4e86\u00a0115\u00a0\u79cd\u4e0d\u540c\u7684\u5404\u5411\u5f02\u6027\u521d\u59cb\u6e29\u5ea6\u6761\u4ef6\u6570\u636e\uff0c\u5e73\u884c\u8f74\u6e29\u5ea6\uff08T\u2225\uff09\u4e0e\u5782\u76f4\u8f74\u6e29\u5ea6\uff08T\u22a5\uff09\u7684\u6bd4\u503c\u8303\u56f4\u4ece\u00a00.71\u00a0\u5230\u00a02.19\uff0c\u5bc6\u5ea6\u56fa\u5b9a\u4e3a\u00a0ne = 1.0\u00d710\u00b9\u2079\/m\u00b3\uff0c\u5782\u76f4\u6e29\u5ea6\u00a0T\u22a5 = 100 eV\u3002\u6bcf\u4e2a\u65f6\u95f4\u6b65\u957f\u8bbe\u7f6e\u4e3a\u78b0\u649e\u65f6\u95f4\u7684\u5341\u5206\u4e4b\u4e00\uff0c\u6bcf\u79cd\u6761\u4ef6\u4e0b\u7684\u6a21\u62df\u6267\u884c\u4e86\u00a0200\u00a0\u4e2a\u65f6\u95f4\u6b65\u957f\u3002<\/p>\n<p>FPL-net\u00a0\u7684\u8f93\u5165\u662f\u4e00\u4e2a\u4e09\u901a\u9053<mark data-id=\"64cc669a-900a-449c-ac73-f71d0e91fc86\" data-type=\"concepts\">\u5f20\u91cf<\/mark>\uff0c\u7531\u4efb\u610f\u521d\u59cb\u6761\u4ef6\u4e0b\u7684\u5206\u5e03\u51fd\u6570\u00a0fN\u00a0\u548c\u4e8c\u7ef4\u901f\u5ea6\u7f51\u683c\uff08v\u22a5\u00a0\u548c\u00a0v\u2225\uff09\u7ec4\u6210\uff0c\u5c3a\u5bf8\u4e3a\u00a040\u00d760\u00d73\u3002\u901a\u8fc7<mark data-id=\"efb128f3-0b7c-45a8-a6ae-065fa93c6556\" data-type=\"tech_methods\">\u5806\u53e0<\/mark>\u5206\u5e03\u51fd\u6570\u548c\u901f\u5ea6\u7f51\u683c\uff0c\u6a21\u578b\u80fd\u591f\u5b66\u4e60\u4e0e\u5206\u5e03\u51fd\u6570\u76f8\u5173\u7684\u901f\u5ea6\u51e0\u4f55\u4fe1\u606f\uff0c\u4ece\u800c\u4fdd\u6301<mark data-id=\"d6ee5e5b-43ff-4c41-87ff-f34c234d0e32\" data-type=\"concepts\">\u52a8\u91cf<\/mark>\u548c\u80fd\u91cf\u5b88\u6052\u3002<\/p>\n<p>\u6a21\u578b\u8f93\u51fa\u5e93\u4ed1\u78b0\u649e\u5bfc\u81f4\u7684\u5206\u5e03\u51fd\u6570\u53d8\u5316\u00a0\u0394fML_N\uff0c\u8fd9\u662f\u4e00\u4e2a\u5c3a\u5bf8\u4e3a\u00a040\u00d760\u00a0\u7684\u5355\u901a\u9053<mark data-id=\"64cc669a-900a-449c-ac73-f71d0e91fc86\" data-type=\"concepts\">\u5f20\u91cf<\/mark>\u3002\u901a\u8fc7\u5c06\u8f93\u5165\u00a0fN\u00a0\u548c\u8f93\u51fa\u00a0\u0394fML_N\u00a0\u76f8\u52a0\uff0c\u53ef\u4ee5\u9884\u6d4b\u4e0b\u4e00\u65f6\u95f4\u6b65\u7684\u5206\u5e03\u51fd\u6570\u00a0fML_N+1\u3002<\/p>\n<p><strong>\u7269\u7406\u5b88\u6052\u7ea6\u675f\u4e0e\u8bad\u7ec3\u8fc7\u7a0b<\/strong><\/p>\n<p>FPL-net\u00a0\u7684\u72ec\u7279\u4e4b\u5904\u5728\u4e8e\u5982\u4f55\u5904\u7406\u7269\u7406\u5b88\u6052\u5b9a\u5f8b\u3002\u7814\u7a76\u56e2\u961f\u5b9e\u73b0\u4e86\u57fa\u4e8e\u52a8\u529b\u5b66\u7406\u8bba\u7edf\u8ba1\u7269\u7406\u4e2d\u5206\u5e03\u51fd\u6570\u77e9\u7684\u7269\u7406\u5b88\u6052\u7ea6\u675f\uff1a<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-0c9563b62caa1c67c4b5571f513e342f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-0c9563b62caa1c67c4b5571f513e342f.png\"><\/a><\/section>\n<p>\u57fa\u4e8e\u8fd9\u4e9b\u5b9a\u4e49\uff0c\u56e2\u961f\u4f7f\u7528\u4e09\u4e2a\u5b88\u6052<mark data-id=\"4c38563a-2d9b-439e-bfb4-21d209eeff3e\" data-type=\"concepts\">\u635f\u5931\u51fd\u6570<\/mark>\uff1a<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-9b2022119c65a1bd64ebf49e9305b153.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-9b2022119c65a1bd64ebf49e9305b153.png\"><\/a><\/section>\n<p>\u603b\u4f53\u7269\u7406\u4fe1\u606f<mark data-id=\"4c38563a-2d9b-439e-bfb4-21d209eeff3e\" data-type=\"concepts\">\u635f\u5931\u51fd\u6570<\/mark>\u4e3a\uff1a<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-2d23e6b999ac38ea64892ae59d33e929.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-2d23e6b999ac38ea64892ae59d33e929.png\"><\/a><\/section>\n<p>\u5176\u4e2d\u00a0\u03bb\u00a0\u662f\u53ef\u53d8<mark data-id=\"5619ca3f-5d4e-48c1-824d-d2a0aea0c7d1\" data-type=\"concepts\">\u8d85\u53c2\u6570<\/mark>\uff0c\u4ee3\u8868\u5b88\u6052\u635f\u5931\u5728\u603b<mark data-id=\"4c38563a-2d9b-439e-bfb4-21d209eeff3e\" data-type=\"concepts\">\u635f\u5931\u51fd\u6570<\/mark>\u4e2d\u7684<mark data-id=\"149a12cf-10c2-4555-9899-cc6dee319ef5\" data-type=\"concepts\">\u6743\u91cd<\/mark>\uff0c\u521d\u59cb\u503c\u4e3a\u00a00\uff0c\u5728\u00a0600\u00a0\u4e2a\u00a0epoch\u00a0\u5185\u7ebf\u6027\u589e\u52a0\u5230\u00a00.5\uff0c\u4e4b\u540e\u4fdd\u6301\u56fa\u5b9a\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-f67c01a6f049d9b8c9fe5d232aceec4d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-f67c01a6f049d9b8c9fe5d232aceec4d.png\"><\/a><\/section>\n<p>\u56fe\u793a\uff1a\u6a21\u578b\u8bc4\u4f30\u8fc7\u7a0b\u7684\u6d41\u7a0b\u56fe\u3002\uff08\u6765\u6e90\uff1a\u8bba\u6587\uff09<\/p>\n<p>\u66f4\u91cd\u8981\u7684\u662f\uff0cFPL-net\u00a0\u88ab\u8bad\u7ec3\u4e3a\u9012\u5f52\u9884\u6d4b\u4e24\u4e2a\u672a\u6765\u65f6\u95f4\u6b65\uff0c\u901a\u8fc7\u4f7f\u7528\u524d\u4e00\u8f93\u51fa\u4f5c\u4e3a\u540e\u7eed\u8f93\u5165\uff0c\u663e\u8457\u63d0\u9ad8\u4e86\u957f\u671f\u6a21\u62df\u7684\u7a33\u5b9a\u6027\u3002\u6700\u7ec8\u635f\u5931\u4e3a\u8fd9\u4e24\u4e2a\u65f6\u95f4\u6b65\u635f\u5931\u4e4b\u548c\uff1aL = L^{N+1} + L^{N+2}\u3002\u8fd9\u79cd\u8bad\u7ec3\u7b56\u7565\u786e\u4fdd\u4e86\u6a21\u578b\u5728\u8fde\u7eed\u65f6\u95f4\u5e8f\u5217\u6a21\u62df\u4e2d\u7684\u9c81\u68d2\u6027\u3002<\/p>\n<p><strong>\u5b9e\u9a8c\u7ed3\u679c\u4e0e\u6027\u80fd\u7a81\u7834<\/strong><\/p>\n<p>\u7ecf\u8fc7\u6d4b\u8bd5\uff0cFPL-net\u00a0\u5728\u4fdd\u6301\u8bef\u5dee\u63a7\u5236\u5728\u00a010\u207b\u2075\u00a0\u91cf\u7ea7\u7684\u540c\u65f6\uff0c\u5c55\u73b0\u51fa\u5353\u8d8a\u7684\u8ba1\u7b97\u6548\u7387\u3002\u5728\u6d4b\u8bd5\u6570\u636e\u96c6\u4e0a\u7684\u00a02189\u00a0\u4e2a\u6d4b\u8bd5\u6848\u4f8b\u4e2d\uff0c\u5bc6\u5ea6\u8bef\u5dee\u5e73\u5747\u4e3a\u00a09.82\u00d710\u207b\u2076\uff0c\u4e2d\u4f4d\u6570\u4e3a\u00a07.81\u00d710\u207b\u2076\uff1b<mark data-id=\"d6ee5e5b-43ff-4c41-87ff-f34c234d0e32\" data-type=\"concepts\">\u52a8\u91cf<\/mark>\u8bef\u5dee\u5e73\u5747\u4e3a\u00a05.46\u00d710\u207b\u2076\uff0c\u4e2d\u4f4d\u6570\u4e3a\u00a04.27\u00d710\u207b\u2076\uff1b\u80fd\u91cf\u8bef\u5dee\u5e73\u5747\u4e3a\u00a02.85\u00d710\u207b\u2075\uff0c\u4e2d\u4f4d\u6570\u4e3a\u00a02.13\u00d710\u207b\u2075\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-0c854c6628eed388627c271cc6700a56.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-0c854c6628eed388627c271cc6700a56.png\"><\/a><\/section>\n<p>\u56fe\u793a\uff1a\u6765\u81ea\u603b\u5171\u00a02189\u00a0\u4e2a\u6d4b\u8bd5\u7528\u4f8b\u7684\u5bc6\u5ea6\uff08\u5de6\uff09\u3001<mark data-id=\"d6ee5e5b-43ff-4c41-87ff-f34c234d0e32\" data-type=\"concepts\">\u52a8\u91cf<\/mark>\uff08\u4e2d\uff09\u548c\u80fd\u91cf\uff08\u53f3\uff09\u8bef\u5dee\u5206\u5e03\u7684\u76f4\u65b9\u56fe\u3002\uff08\u6765\u6e90\uff1a\u8bba\u6587\uff09<\/p>\n<p>FPL-net\u00a0\u6210\u529f\u5b9e\u73b0\u4e86\u5b8c\u6574\u7684\u6e29\u5ea6\u677e\u5f1b\uff0c\u8fd9\u662f<mark data-id=\"01946acc-d031-4c0e-909c-f062643b7273\" data-type=\"tech_methods\">\u6df1\u5ea6\u5b66\u4e60<\/mark>\u6a21\u578b\u9996\u6b21\u5728\u6b64\u9886\u57df\u53d6\u5f97\u7684\u7a81\u7834\u3002\u5728\u521d\u59cb\u6761\u4ef6\u00a0T\u2225\/T\u22a5=0.795\u00a0\u7684\u6e29\u5ea6\u677e\u5f1b\u5b9e\u9a8c\u4e2d\uff0c\u4e0e\u57fa\u4e8e\u00a0Picard\u00a0\u8fed\u4ee3\u78b0\u649e\u4ee3\u7801\u5f97\u51fa\u7684\u771f\u5b9e\u6570\u636e\u76f8\u6bd4\uff0c\u53cc\u9ea6\u514b\u65af\u97e6\u677e\u5f1b\u5c55\u73b0\u51fa\u663e\u8457\u4e00\u81f4\u6027\uff0c\u5728\u00a0199\u00a0\u4e2a\u65f6\u95f4\u6b65\u5185\u5dee\u5f02\u6700\u5927\u4ec5\u4e3a\u00a03.3%\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-4b43d8b1e066a57f97856521792f70b0.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-4b43d8b1e066a57f97856521792f70b0.png\"><\/a><\/section>\n<p>\u56fe\u793a\uff1a\u5728\u00a0T\u2225\/T\u22a5 = 0.795\u00a0\u7684\u521d\u59cb\u6e29\u5ea6\u6761\u4ef6\u4e0b\uff0c\u6e29\u5ea6\u5f1b\u8c6b\u5b9e\u9a8c\u5728\u00a0199\u00a0\u4e2a\u65f6\u95f4\u6b65\u957f\u4e2d\u7684\u7ed3\u679c\u3002\u9ed1\u8272\u5b9e\u7ebf\u5bf9\u5e94\u4e8e\u771f\u5b9e\u6570\u636e\uff0c\u800c\u7ea2\u8272\uff08\u84dd\u8272\uff09\u865a\u7ebf\u8868\u793a\u4ece\u00a0FPL-net\u00a0\u7ed3\u679c\u5f97\u51fa\u7684\u00a0v\u2225\u00a0\uff08v\u22a5\uff09 \u6e29\u5ea6\u3002\uff08\u6765\u6e90\uff1a\u8bba\u6587\uff09<\/p>\n<p>\u7814\u7a76\u56e2\u961f\u8fd8\u8fdb\u884c\u4e86\u4e24\u9879\u989d\u5916\u5b9e\u9a8c\u9a8c\u8bc1\u6a21\u578b\u7684\u7a33\u5065\u6027\u3002<\/p>\n<p>\u5728\u5ef6\u957f\u63a8\u6f14\u6d4b\u8bd5\u4e2d\uff0c\u6a21\u578b\u9884\u6d4b\u957f\u5ea6\u6269\u5c55\u81f3\u00a01200\u00a0\u4e2a\u65f6\u95f4\u6b65\uff08\u8bad\u7ec3\u957f\u5ea6\u7684\u516d\u500d\uff09\uff0c\u7ed3\u679c\u8868\u660e\u8bef\u5dee\u5728\u00a01000\u00a0\u4e2a\u65f6\u95f4\u6b65\u5185\u4fdd\u6301\u5728\u53ef\u63a5\u53d7\u8303\u56f4\uff0c\u6e29\u5ea6\u4e0e\u771f\u5b9e\u503c\u7d27\u5bc6\u5339\u914d\u3002<\/p>\n<p>\u5728\u9ad8\u65af\u566a\u58f0\u6d4b\u8bd5\u4e2d\uff0c\u5411\u8f93\u5165\u6dfb\u52a0\u4e86\u76f8\u5f53\u4e8e\u8f93\u5165\u6807\u51c6\u5dee\u00a01%\u30012.5%\u00a0\u548c\u00a05%\u00a0\u7684\u566a\u58f0\uff0c\u7ed3\u679c\u663e\u793a\u566a\u58f0\u6c34\u5e73\u4e0d\u8d85\u8fc7\u00a02.5%\u00a0\u65f6\uff0c\u8bef\u5dee\u4e0d\u4f1a\u968f\u65f6\u95f4\u6b65\u589e\u957f\u800c\u53d1\u6563\uff0c\u6e29\u5ea6\u677e\u5f1b\u80fd\u591f\u6210\u529f\u5b9e\u73b0\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-c969aa9e448d23976d3dd9741b969006.jpeg\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-c969aa9e448d23976d3dd9741b969006.jpeg\"><\/a><\/section>\n<p>\u56fe\u793a\uff1a\u4f7f\u7528\u968f\u673a\u566a\u58f0\u7684\u00a0FPL-net\u00a0\u9884\u6d4b\u3002\uff08\u6765\u6e90\uff1a\u8bba\u6587\uff09<\/p>\n<p>\u5728\u8ba1\u7b97\u6548\u7387\u65b9\u9762\uff0cFPL-net\u00a0\u5728\u5355\u4e2a\u00a0NVIDIA RTX A5000 GPU\u00a0\u4e0a\uff0c\u6bcf\u4e2a\u65f6\u95f4\u6b65\u7684\u5e73\u5747\u63a8\u7406\u65f6\u95f4\u4e3a\u00a03.56\u00a0\u6beb\u79d2\uff0c\u5185\u5b58\u5360\u7528\u4e3a\u00a063.82 MB\u3002<\/p>\n<p>\u800c\u7528\u4e8e\u6570\u636e\u751f\u6210\u7684\u00a0Picard\u00a0\u8fed\u4ee3\u78b0\u649e\u7b97\u5b50\u5728\u00a0Intel Xeon Silver 4112 CPU\u00a0\u4e0a\uff0c\u6bcf\u4e2a\u65f6\u95f4\u6b65\u5e73\u5747\u9700\u8981\u00a04135\u00a0\u6beb\u79d2\uff0c\u4f7f\u7528\u00a01017 MB\u00a0\u5185\u5b58\u3002<\/p>\n<p>\u8fd9\u610f\u5473\u7740\u00a0FPL-net\u00a0\u76f8\u6bd4\u4f20\u7edf\u6570\u503c\u65b9\u6cd5\u5b9e\u73b0\u4e86\u00a01000\u00a0\u500d\u4ee5\u4e0a\u7684\u52a0\u901f\u3002<\/p>\n<p><strong>\u672a\u6765\u5c55\u671b\u4e0e\u6311\u6218<\/strong><\/p>\n<p>FPL-net\u00a0\u4f5c\u4e3a\u5e94\u7528<mark data-id=\"01946acc-d031-4c0e-909c-f062643b7273\" data-type=\"tech_methods\">\u6df1\u5ea6\u5b66\u4e60<\/mark>\u4e8e\u7b49\u79bb\u5b50\u4f53\u78b0\u649e\u6a21\u62df\u7684\u5178\u8303\uff0c\u8bc1\u660e\u4e86\u5982\u4f55\u5728\u4fdd\u6301\u9ad8\u7cbe\u5ea6\u7684\u540c\u65f6\u663e\u8457\u964d\u4f4e\u8ba1\u7b97\u6210\u672c\u3002\u8fd9\u79cd\u8ba1\u7b97\u52a0\u901f\u4f7f\u7814\u7a76\u4eba\u5458\u80fd\u66f4\u9ad8\u6548\u5730\u5229\u7528\u6709\u9650\u8d44\u6e90\uff0c\u52a0\u901f\u7b49\u79bb\u5b50\u4f53\u7814\u7a76\u8fdb\u7a0b\uff0c\u540c\u65f6\u4e3a<mark data-id=\"5413ecf7-c9e7-44c0-8fc0-7eb0ddfb7676\" data-type=\"concepts\">\u6570\u5b57\u5b6a\u751f<\/mark>\u6258\u5361\u9a6c\u514b\u548c\u5168\u88c5\u7f6e\u5efa\u6a21\u63d0\u4f9b\u4e86\u5fc5\u8981\u652f\u6301\u3002<\/p>\n<p>\u7136\u800c\uff0c\u8be5\u7814\u7a76\u4ecd\u5b58\u5728\u660e\u663e\u5c40\u9650\u6027\uff1aFPL-net 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