https://Caodk.github.io/Recent content on CDK's BlogHugozh-CNWed, 28 Oct 2026 16:30:41 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-28_16-30-41/Wed, 28 Oct 2026 16:30:41 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-28_16-30-41/共有 0 篇重点关注论文, 5 篇论文可以了解, 17 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-27_15-50-23/Tue, 27 Oct 2026 15:50:23 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-27_15-50-23/共有 2 篇重点关注论文, 17 篇论文可以了解, 39 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-26_16-40-46/Mon, 26 Oct 2026 16:40:46 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-26_16-40-46/共有 0 篇重点关注论文, 10 篇论文可以了解, 16 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-23_14-46-52/Fri, 23 Oct 2026 14:46:52 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-23_14-46-52/共有 0 篇重点关注论文, 13 篇论文可以了解, 20 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-22_14-59-02/Thu, 22 Oct 2026 14:59:02 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-22_14-59-02/共有 2 篇重点关注论文, 9 篇论文可以了解, 15 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-21_14-58-41/Wed, 21 Oct 2026 14:58:41 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-21_14-58-41/共有 2 篇重点关注论文, 6 篇论文可以了解, 12 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-20_14-51-59/Tue, 20 Oct 2026 14:51:59 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-20_14-51-59/共有 3 篇重点关注论文, 14 篇论文可以了解, 35 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-19_16-52-27/Mon, 19 Oct 2026 16:52:27 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-19_16-52-27/共有 0 篇重点关注论文, 8 篇论文可以了解, 13 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-16_14-42-01/Fri, 16 Oct 2026 14:42:01 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-16_14-42-01/共有 1 篇重点关注论文, 7 篇论文可以了解, 15 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-15_14-49-03/Thu, 15 Oct 2026 14:49:03 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-15_14-49-03/共有 4 篇重点关注论文, 5 篇论文可以了解, 17 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-14_14-59-34/Wed, 14 Oct 2026 14:59:34 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-14_14-59-34/共有 2 篇重点关注论文, 9 篇论文可以了解, 16 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-12_19-43-13/Mon, 12 Oct 2026 19:43:13 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-12_19-43-13/共有 1 篇重点关注论文, 9 篇论文可以了解, 16 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-09_16-54-31/Fri, 09 Oct 2026 16:54:31 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-09_16-54-31/共有 2 篇重点关注论文, 8 篇论文可以了解, 16 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-08_17-18-42/Thu, 08 Oct 2026 17:18:42 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-08_17-18-42/共有 1 篇重点关注论文, 14 篇论文可以了解, 15 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-07_17-22-17/Wed, 07 Oct 2026 17:22:17 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-07_17-22-17/共有 1 篇重点关注论文, 7 篇论文可以了解, 18 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-06_16-38-27/Tue, 06 Oct 2026 16:38:27 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-06_16-38-27/共有 4 篇重点关注论文, 19 篇论文可以了解, 27 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-05_19-10-19/Mon, 05 Oct 2026 19:10:19 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-05_19-10-19/共有 1 篇重点关注论文, 10 篇论文可以了解, 15 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-02_16-11-16/Fri, 02 Oct 2026 16:11:16 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-02_16-11-16/共有 2 篇重点关注论文, 7 篇论文可以了解, 12 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-01_17-00-13/Thu, 01 Oct 2026 17:00:13 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-10-01_17-00-13/共有 1 篇重点关注论文, 8 篇论文可以了解, 22 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-30_16-21-06/Wed, 30 Sep 2026 16:21:06 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-30_16-21-06/共有 2 篇重点关注论文, 11 篇论文可以了解, 16 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-29_16-28-29/Tue, 29 Sep 2026 16:28:29 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-29_16-28-29/共有 4 篇重点关注论文, 31 篇论文可以了解, 29 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-28_18-02-19/Mon, 28 Sep 2026 18:02:19 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-28_18-02-19/共有 0 篇重点关注论文, 7 篇论文可以了解, 12 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-25_15-06-02/Fri, 25 Sep 2026 15:06:02 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-25_15-06-02/共有 1 篇重点关注论文, 10 篇论文可以了解, 12 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-24_14-45-00/Thu, 24 Sep 2026 14:45:00 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-24_14-45-00/共有 0 篇重点关注论文, 13 篇论文可以了解, 14 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-23_14-49-08/Wed, 23 Sep 2026 14:49:08 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-23_14-49-08/共有 0 篇重点关注论文, 10 篇论文可以了解, 20 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-22_14-32-39/Tue, 22 Sep 2026 14:32:39 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-22_14-32-39/共有 2 篇重点关注论文, 13 篇论文可以了解, 30 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-21_16-21-46/Mon, 21 Sep 2026 16:21:46 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-21_16-21-46/共有 2 篇重点关注论文, 8 篇论文可以了解, 8 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-18_14-15-02/Fri, 18 Sep 2026 14:15:02 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-18_14-15-02/共有 1 篇重点关注论文, 7 篇论文可以了解, 13 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-17_14-49-07/Thu, 17 Sep 2026 14:49:07 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-17_14-49-07/共有 2 篇重点关注论文, 8 篇论文可以了解, 13 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-16_14-44-50/Wed, 16 Sep 2026 14:44:50 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-16_14-44-50/共有 1 篇重点关注论文, 10 篇论文可以了解, 20 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-16_06-15-13/Wed, 16 Sep 2026 06:15:13 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-16_06-15-13/共有 2 篇重点关注论文, 19 篇论文可以了解, 45 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-11_14-12-15/Fri, 11 Sep 2026 14:12:15 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-11_14-12-15/共有 3 篇重点关注论文, 5 篇论文可以了解, 31 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-10_14-10-47/Thu, 10 Sep 2026 14:10:47 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-10_14-10-47/共有 0 篇重点关注论文, 9 篇论文可以了解, 17 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-09_14-16-48/Wed, 09 Sep 2026 14:16:48 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-09_14-16-48/共有 0 篇重点关注论文, 3 篇论文可以了解, 21 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-07_15-40-12/Mon, 07 Sep 2026 15:40:12 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-07_15-40-12/共有 1 篇重点关注论文, 2 篇论文可以了解, 13 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-04_14-09-07/Fri, 04 Sep 2026 14:09:07 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-04_14-09-07/共有 1 篇重点关注论文, 2 篇论文可以了解, 18 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-03_14-17-13/Thu, 03 Sep 2026 14:17:13 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-03_14-17-13/共有 1 篇重点关注论文, 3 篇论文可以了解, 16 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-02_14-16-33/Wed, 02 Sep 2026 14:16:33 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-02_14-16-33/共有 2 篇重点关注论文, 1 篇论文可以了解, 22 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-01_14-41-20/Tue, 01 Sep 2026 14:41:20 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-01_14-41-20/共有 4 篇重点关注论文, 8 篇论文可以了解, 31 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-01_09-33-16/Tue, 01 Sep 2026 09:33:16 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-09-01_09-33-16/共有 5 篇重点关注论文, 7 篇论文可以了解, 31 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-31_10-59-54/Mon, 31 Aug 2026 10:59:54 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-31_10-59-54/共有 1 篇重点关注论文, 4 篇论文可以了解, 15 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-28_16-46-51/Fri, 28 Aug 2026 16:46:51 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-28_16-46-51/共有 2 篇重点关注论文, 6 篇论文可以了解, 17 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-27_15-23-23/Thu, 27 Aug 2026 15:23:23 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-27_15-23-23/共有 2 篇重点关注论文, 2 篇论文可以了解, 25 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-26_05-03-25/Wed, 26 Aug 2026 05:03:25 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-26_05-03-25/共有 3 篇重点关注论文, 7 篇论文可以了解, 13 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-25_05-03-24/Tue, 25 Aug 2026 05:03:24 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-25_05-03-24/共有 3 篇重点关注论文, 8 篇论文可以了解, 39 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-24_05-07-20/Mon, 24 Aug 2026 05:07:20 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-24_05-07-20/共有 0 篇重点关注论文, 1 篇论文可以了解, 11 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-21_05-00-01/Fri, 21 Aug 2026 05:00:01 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-21_05-00-01/共有 0 篇重点关注论文, 3 篇论文可以了解, 19 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-20_05-00-08/Thu, 20 Aug 2026 05:00:08 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-20_05-00-08/共有 1 篇重点关注论文, 2 篇论文可以了解, 14 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-19_04-58-53/Wed, 19 Aug 2026 04:58:53 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-19_04-58-53/共有 2 篇重点关注论文, 4 篇论文可以了解, 17 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-18_04-58-23/Tue, 18 Aug 2026 04:58:23 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-18_04-58-23/共有 1 篇重点关注论文, 7 篇论文可以了解, 33 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-17_05-04-07/Mon, 17 Aug 2026 05:04:07 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-17_05-04-07/共有 2 篇重点关注论文, 4 篇论文可以了解, 15 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-14_05-51-38/Fri, 14 Aug 2026 05:51:38 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-14_05-51-38/共有 0 篇重点关注论文, 3 篇论文可以了解, 8 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-13_08-58-45/Thu, 13 Aug 2026 08:58:45 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-13_08-58-45/共有 1 篇重点关注论文, 2 篇论文可以了解, 11 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-12_12-28-32/Wed, 12 Aug 2026 12:28:32 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-12_12-28-32/共有 1 篇重点关注论文, 5 篇论文可以了解, 13 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-11_08-40-29/Tue, 11 Aug 2026 08:40:29 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-11_08-40-29/共有 2 篇重点关注论文, 10 篇论文可以了解, 34 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-10_09-03-43/Mon, 10 Aug 2026 09:03:43 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-10_09-03-43/共有 1 篇重点关注论文, 8 篇论文可以了解, 19 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-07_08-42-01/Fri, 07 Aug 2026 08:42:01 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-07_08-42-01/共有 2 篇重点关注论文, 5 篇论文可以了解, 19 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-06_10-23-58/Thu, 06 Aug 2026 10:23:58 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-06_10-23-58/共有 2 篇重点关注论文, 1 篇论文可以了解, 17 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-05_10-18-01/Wed, 05 Aug 2026 10:18:01 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-05_10-18-01/共有 1 篇重点关注论文, 2 篇论文可以了解, 19 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-04_10-23-08/Tue, 04 Aug 2026 10:23:08 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-04_10-23-08/共有 2 篇重点关注论文, 5 篇论文可以了解, 35 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-03_11-01-15/Mon, 03 Aug 2026 11:01:15 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-08-03_11-01-15/共有 1 篇重点关注论文, 1 篇论文可以了解, 14 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-31_10-17-36/Fri, 31 Jul 2026 10:17:36 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-31_10-17-36/共有 1 篇重点关注论文, 3 篇论文可以了解, 16 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-30_12-01-36/Thu, 30 Jul 2026 12:01:36 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-30_12-01-36/共有 0 篇重点关注论文, 4 篇论文可以了解, 19 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-29_10-20-37/Wed, 29 Jul 2026 10:20:37 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-29_10-20-37/共有 1 篇重点关注论文, 6 篇论文可以了解, 15 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-28_10-20-26/Tue, 28 Jul 2026 10:20:26 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-28_10-20-26/共有 2 篇重点关注论文, 10 篇论文可以了解, 41 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-28_10-20-18/Tue, 28 Jul 2026 10:20:18 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-28_10-20-18/共有 4 篇重点关注论文, 7 篇论文可以了解, 42 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-24_10-00-48/Fri, 24 Jul 2026 10:00:48 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-24_10-00-48/共有 0 篇重点关注论文, 2 篇论文可以了解, 14 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-23_10-08-18/Thu, 23 Jul 2026 10:08:18 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-23_10-08-18/共有 3 篇重点关注论文, 4 篇论文可以了解, 12 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-22_10-07-51/Wed, 22 Jul 2026 10:07:51 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-22_10-07-51/共有 0 篇重点关注论文, 3 篇论文可以了解, 11 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-21_10-10-33/Tue, 21 Jul 2026 10:10:33 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-21_10-10-33/共有 1 篇重点关注论文, 6 篇论文可以了解, 30 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-20_10-32-59/Mon, 20 Jul 2026 10:32:59 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-20_10-32-59/共有 3 篇重点关注论文, 3 篇论文可以了解, 11 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-17_09-33-41/Fri, 17 Jul 2026 09:33:41 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-17_09-33-41/共有 3 篇重点关注论文, 5 篇论文可以了解, 20 篇不相关论文https://Caodk.github.io/conclusion/2026%E5%B9%B47%E6%9C%88%E5%80%BC%E5%BE%97%E5%85%B3%E6%B3%A8%E7%9A%84%E6%96%87%E7%AB%A0/Thu, 16 Jul 2026 19:10:13 +0800https://Caodk.github.io/conclusion/2026%E5%B9%B47%E6%9C%88%E5%80%BC%E5%BE%97%E5%85%B3%E6%B3%A8%E7%9A%84%E6%96%87%E7%AB%A0/<h2 id="七月十六日">七月十六日</h2> <h2 id="1-可扩展广义多尺度有限元空间构造的误差的一阶下界">1. 可扩展广义多尺度有限元空间构造的误差的一阶下界</h2> <p>An Order-One Lower Bound on the Error of Scalable Generalized Multiscale Finite Element Space Constructions</p> <p><strong>作者</strong>: Changqing Ye</p> <p><strong>类别</strong>: math.NA</p> <p><strong>发布日期</strong>: 2026-07-15</p> <p><strong>arXiv ID</strong>: 2607.13888v1</p> <p><strong>摘要翻译</strong>: Several coefficient-adapted methods provide optimal-order approximation for elliptic equations with rough coefficients. Prominent examples include localized orthogonal decomposition, multiscale spectral GFEM, and constraint energy-minimizing GMsFEM. Their proven accuracy, however, is obtained by allowing the localization radius or the local spectral dimension to grow as the coarse scale \\(H\\) tends to zero. Classical MsFEM has an FEM-like local construction, but its available analysis does not give a coefficient-uniform \\(\\bigO(H)\\) energy estimate over the full bounded-contrast measurable coefficient class. Motivated by this gap, we formalize an FEM-like notion of structural scalability. A chosen spatially local basis has uniformly bounded overlap, hence \\(\\bigO(1)\\) stiffness entries per row, and every anchored local span uses coefficient information from only \\(\\bigO(1)\\) coarse-element layers. We prove that no deterministic construction satisfying fixed bounds on the support radius, coefficient-information radius, and local multiplicity can converge uniformly over the coefficient class. In fact, its worst-case \\(L^2\\)-to-energy Galerkin error remains bounded below by a positive constant independent of \\(H\\) . The lower bound is established using a fixed finite family of smooth periodic coefficients and smooth right-hand sides. The proof combines coefficients that coincide on local patches, a finite-dimensional approximation lower bound for corrector fields, a positive-density mesh argument, and strong periodic corrector convergence. Thus uniform optimal accuracy requires at least one local construction parameter to grow or requires coefficient information beyond the fixed-visibility model.</p>https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-16_09-39-33/Thu, 16 Jul 2026 09:39:33 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-16_09-39-33/共有 1 篇重点关注论文, 4 篇论文可以了解, 18 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-15_09-35-45/Wed, 15 Jul 2026 09:35:45 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-15_09-35-45/共有 0 篇重点关注论文, 5 篇论文可以了解, 27 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-14_09-32-32/Tue, 14 Jul 2026 09:32:32 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-14_09-32-32/共有 0 篇重点关注论文, 5 篇论文可以了解, 42 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-13_10-44-13/Mon, 13 Jul 2026 10:44:13 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-13_10-44-13/共有 0 篇重点关注论文, 5 篇论文可以了解, 12 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-10_10-39-41/Fri, 10 Jul 2026 10:39:41 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-10_10-39-41/共有 0 篇重点关注论文, 2 篇论文可以了解, 16 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-09_10-48-49/Thu, 09 Jul 2026 10:48:49 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-09_10-48-49/共有 1 篇重点关注论文, 2 篇论文可以了解, 23 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-08_10-03-22/Wed, 08 Jul 2026 10:03:22 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-08_10-03-22/共有 1 篇重点关注论文, 7 篇论文可以了解, 21 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-07_10-45-11/Tue, 07 Jul 2026 10:45:11 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-07_10-45-11/共有 2 篇重点关注论文, 4 篇论文可以了解, 21 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-03_10-19-59/Fri, 03 Jul 2026 10:19:59 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-03_10-19-59/共有 0 篇重点关注论文, 5 篇论文可以了解, 22 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-02_10-22-39/Thu, 02 Jul 2026 10:22:39 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-02_10-22-39/共有 0 篇重点关注论文, 5 篇论文可以了解, 23 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-01_11-01-10/Wed, 01 Jul 2026 11:01:10 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-07-01_11-01-10/共有 1 篇重点关注论文, 1 篇论文可以了解, 23 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-30_10-49-46/Tue, 30 Jun 2026 10:49:46 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-30_10-49-46/共有 2 篇重点关注论文, 5 篇论文可以了解, 44 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-29_12-51-13/Mon, 29 Jun 2026 12:51:13 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-29_12-51-13/共有 1 篇重点关注论文, 2 篇论文可以了解, 17 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-26_06-41-08/Fri, 26 Jun 2026 06:41:08 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-26_06-41-08/共有 1 篇重点关注论文, 2 篇论文可以了解, 25 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-25_06-38-14/Thu, 25 Jun 2026 06:38:14 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-25_06-38-14/共有 1 篇重点关注论文, 3 篇论文可以了解, 19 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-24_06-33-05/Wed, 24 Jun 2026 06:33:05 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-24_06-33-05/共有 0 篇重点关注论文, 2 篇论文可以了解, 24 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-23_06-37-24/Tue, 23 Jun 2026 06:37:24 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-23_06-37-24/共有 1 篇重点关注论文, 4 篇论文可以了解, 31 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-19_08-20-12/Fri, 19 Jun 2026 08:20:12 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-19_08-20-12/共有 0 篇重点关注论文, 4 篇论文可以了解, 18 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-18_07-21-49/Thu, 18 Jun 2026 07:21:49 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-18_07-21-49/共有 0 篇重点关注论文, 3 篇论文可以了解, 14 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-17_07-40-13/Wed, 17 Jun 2026 07:40:13 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-17_07-40-13/共有 1 篇重点关注论文, 4 篇论文可以了解, 21 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-16_08-38-22/Tue, 16 Jun 2026 08:38:22 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-16_08-38-22/共有 1 篇重点关注论文, 10 篇论文可以了解, 34 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-15_08-45-20/Mon, 15 Jun 2026 08:45:20 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-15_08-45-20/共有 1 篇重点关注论文, 4 篇论文可以了解, 14 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-12_07-09-59/Fri, 12 Jun 2026 07:09:59 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-12_07-09-59/共有 1 篇重点关注论文, 6 篇论文可以了解, 22 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-11_07-19-17/Thu, 11 Jun 2026 07:19:17 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-11_07-19-17/共有 0 篇重点关注论文, 5 篇论文可以了解, 17 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-10_06-56-36/Wed, 10 Jun 2026 06:56:36 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-10_06-56-36/共有 1 篇重点关注论文, 0 篇论文可以了解, 14 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-09_06-45-43/Tue, 09 Jun 2026 06:45:43 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-09_06-45-43/共有 2 篇重点关注论文, 6 篇论文可以了解, 34 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-08_07-21-04/Mon, 08 Jun 2026 07:21:04 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-08_07-21-04/共有 1 篇重点关注论文, 2 篇论文可以了解, 17 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-05_06-59-40/Fri, 05 Jun 2026 06:59:40 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-05_06-59-40/共有 3 篇重点关注论文, 0 篇论文可以了解, 21 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-04_08-24-28/Thu, 04 Jun 2026 08:24:28 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-04_08-24-28/共有 3 篇重点关注论文, 5 篇论文可以了解, 35 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-02_09-43-35/Tue, 02 Jun 2026 09:43:35 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-06-02_09-43-35/共有 4 篇重点关注论文, 5 篇论文可以了解, 48 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-29_07-29-21/Fri, 29 May 2026 07:29:21 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-29_07-29-21/共有 1 篇重点关注论文, 2 篇论文可以了解, 18 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-28_06-42-56/Thu, 28 May 2026 06:42:56 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-28_06-42-56/共有 2 篇重点关注论文, 2 篇论文可以了解, 15 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-27_06-49-37/Wed, 27 May 2026 06:49:37 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-27_06-49-37/共有 0 篇重点关注论文, 5 篇论文可以了解, 13 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-26_06-44-02/Tue, 26 May 2026 06:44:02 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-26_06-44-02/共有 0 篇重点关注论文, 8 篇论文可以了解, 38 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-25_06-57-41/Mon, 25 May 2026 06:57:41 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-25_06-57-41/共有 0 篇重点关注论文, 4 篇论文可以了解, 14 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-22_06-43-11/Fri, 22 May 2026 06:43:11 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-22_06-43-11/共有 1 篇重点关注论文, 3 篇论文可以了解, 19 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-21_06-50-34/Thu, 21 May 2026 06:50:34 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-21_06-50-34/共有 3 篇重点关注论文, 12 篇论文可以了解, 34 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-19_06-40-12/Tue, 19 May 2026 06:40:12 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-19_06-40-12/共有 0 篇重点关注论文, 1 篇论文可以了解, 29 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-18_06-42-43/Mon, 18 May 2026 06:42:43 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-18_06-42-43/共有 0 篇重点关注论文, 2 篇论文可以了解, 14 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-15_07-00-37/Fri, 15 May 2026 07:00:37 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-15_07-00-37/共有 0 篇重点关注论文, 1 篇论文可以了解, 17 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-14_09-52-53/Thu, 14 May 2026 09:52:53 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-14_09-52-53/共有 1 篇重点关注论文, 1 篇论文可以了解, 22 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-13_12-11-23/Wed, 13 May 2026 12:11:23 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-13_12-11-23/共有 0 篇重点关注论文, 1 篇论文可以了解, 17 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-13_06-07-21/Wed, 13 May 2026 06:07:21 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-13_06-07-21/共有 0 篇重点关注论文, 1 篇论文可以了解, 17 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-12_06-43-01/Tue, 12 May 2026 06:43:01 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-12_06-43-01/共有 2 篇重点关注论文, 1 篇论文可以了解, 43 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-11_12-56-31/Mon, 11 May 2026 12:56:31 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-11_12-56-31/共有 0 篇重点关注论文, 1 篇论文可以了解, 23 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-08_05-20-37/Fri, 08 May 2026 05:20:37 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-08_05-20-37/共有 0 篇重点关注论文, 2 篇论文可以了解, 20 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-07_05-50-56/Thu, 07 May 2026 05:50:56 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-07_05-50-56/共有 0 篇重点关注论文, 0 篇论文可以了解, 27 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-06_09-52-05/Wed, 06 May 2026 09:52:05 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-06_09-52-05/共有 0 篇重点关注论文, 0 篇论文可以了解, 14 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-05_05-45-56/Tue, 05 May 2026 05:45:56 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-05_05-45-56/共有 3 篇重点关注论文, 3 篇论文可以了解, 44 篇不相关论文https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-04_02-51-57/Mon, 04 May 2026 02:51:57 +0000https://Caodk.github.io/arxivanalysis/arxiv_analysis_2026-05-04_02-51-57/共有 3 篇重点关注论文, 2 篇论文可以了解, 43 篇不相关论文