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- 05:51, 26 December 2024 Liuexp talk contribs uploaded File:Spectral sparsification AA 2024.pdf
- 08:51, 24 December 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/第六次作业提交名单 (Created page with "<center> {| class="wikitable" |- ! 学号 |- | 221900324 |- | 231880099 |- | 231880514 |- | 231880087 |- | 231880102 |- | 221900379 |- | 221900426 |- | 231880382 |- | 221900264 |- | 221900406 |- | 231880403 |- | 221900323 |- | 221900387 |- | 231880426 |- | 221900068 |- | 231880078 |- | 231880410 |- | 221900455 |- | 221900038 |- | 221900477 |- | 221900024 |- | 221900024 |- | 231880167 |- | 221900036 |- | 231880481 |- | 231880292 |- | 221900230 |- | 231880513 |- | 2219000...")
- 07:48, 23 December 2024 Liuexp talk contribs created page File:Expander random walk+sparsification AA 2024.pdf
- 07:48, 23 December 2024 Liuexp talk contribs uploaded File:Expander random walk+sparsification AA 2024.pdf
- 04:07, 20 December 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) stat analy.pdf
- 04:07, 20 December 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) stat analy.pdf
- 09:46, 19 December 2024 Liuexp talk contribs deleted page File:MCMC2 AA 2024.pdf (Deleted old revision 20241219094633!MCMC2_AA_2024.pdf: Duplicated file: content was: "MCMC2 AA 2024", and the only contributor was "Liuexp" (talk))
- 09:46, 19 December 2024 Liuexp talk contribs uploaded a new version of File:MCMC2 AA 2024.pdf
- 09:43, 19 December 2024 Liuexp talk contribs deleted page File:MCMC2 AA 2024.pdf (Deleted old revision 20241219094331!MCMC2_AA_2024.pdf: Duplicated file: content was: "MCMC2 AA 2024", and the only contributor was "Liuexp" (talk))
- 09:43, 19 December 2024 Liuexp talk contribs uploaded a new version of File:MCMC2 AA 2024.pdf
- 09:42, 19 December 2024 Liuexp talk contribs deleted page File:MCMC AA 2024.pdf (Deleted old revision 20241219094241!MCMC_AA_2024.pdf: Duplicated file: content was: "MCMC AA 2024", and the only contributor was "Liuexp" (talk))
- 09:42, 19 December 2024 Liuexp talk contribs uploaded a new version of File:MCMC AA 2024.pdf
- 09:42, 19 December 2024 Liuexp talk contribs deleted page File:Random walk-AA2024.pdf (Deleted old revision 20241212055131!Random_walk-AA2024.pdf: Duplicated file: content was: "Random walk-AA2024", and the only contributor was "Liuexp" (talk))
- 06:05, 19 December 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/第五次作业提交名单 (Created page with "<center> {| class="wikitable" |- ! 学号 |- | 221900325 |- | 221900406 |- | 221900387 |- | 221900425 |- | 221900426 |- | 231880102 |- | 231880426 |- | 221900009 |- | 221900268 |- | 231880087 |- | 221900324 |- | 221900455 |- | 231880514 |- | 221900210 |- | 231880382 |- | 231880099 |- | 221900450 |- | 221900328 |- | 231880443 |- | 221900477 |- | 221900323 |- | 221900009 |- | 221900264 |- | 221900038 |- | 221900038 |- | 221900024 |- | 231880316 |- | 231880292 |- | 2219003...")
- 05:44, 19 December 2024 Liuexp talk contribs created page File:MCMC2 AA 2024.pdf
- 05:44, 19 December 2024 Liuexp talk contribs uploaded File:MCMC2 AA 2024.pdf
- 10:51, 13 December 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) Hypothesis.pdf
- 10:51, 13 December 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) Hypothesis.pdf
- 05:51, 12 December 2024 Liuexp talk contribs uploaded a new version of File:Random walk-AA2024.pdf
- 05:45, 12 December 2024 Liuexp talk contribs created page File:MCMC AA 2024.pdf
- 05:45, 12 December 2024 Liuexp talk contribs uploaded File:MCMC AA 2024.pdf
- 01:48, 9 December 2024 Etone talk contribs created page Assignment 4, Fall 2024 (Created page with "在第四章中，我们从准地转近似下的纬向平均风场、温度场的趋势方程出发，定义了E-P通量。但是该定义下的E-P通量并没有考虑到大气湿过程的影响。如果从第三章介绍的水汽方程出发，我们可以按照以下步骤定义出一个包含大气大尺度运动中湿过程作用的广义的E-P通量。 1）在准地转近似下，如果我们按照对热力学方程的简化方法，将比湿（specific humidity...")
- 17:51, 5 December 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) IntroStatistics.pdf
- 17:51, 5 December 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) IntroStatistics.pdf
- 05:51, 5 December 2024 Liuexp talk contribs created page File:Random walk-AA2024.pdf
- 05:51, 5 December 2024 Liuexp talk contribs uploaded File:Random walk-AA2024.pdf
- 14:08, 29 November 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/Problem Set 6 (Created page with "*每道题目的解答都要有完整的解题过程，中英文不限。 *我们推荐大家使用LaTeX, markdown等对作业进行排版。 *没有条件的同学可以用纸笔完成作业之后拍照。 * '''under construction''' == Assumption throughout Problem Set 6 == <p>Without further notice, we are working on probability space <math>(\Omega,\mathcal{F},\Pr)</math>.</p> <p>Without further notice, we assume that the expectation of random variables are well-d...")
- 04:32, 29 November 2024 Liumingmou talk contribs uploaded a new version of File:数据科学基础 (Fall 2024) Process.pdf
- 04:31, 29 November 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/OST and applications (Created page with "=可选停时定理 (OST)= '''可选停时定理''' ('''Optional Stopping Theorem''', '''OST''')，有事也被称为'''鞅停时定理''' ('''Martingale Stopping Theorem''')、'''可选抽样定理''' ('''Optional Sampling Theorem''') 等，是约瑟夫·杜布 ([https://en.wikipedia.org/wiki/Joseph_L._Doob Joseph Doob]) 发现的关于鞅的停时的刻画定理。 首先定义鞅 (martingale)。这是一类由公平赌博定义的随机过程。 {{Theorem|定义（...")
- 02:51, 29 November 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) Process.pdf
- 02:51, 29 November 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) Process.pdf
- 05:22, 28 November 2024 Liuexp talk contribs deleted page File:Spectral-graph-theory-AA-2024.pdf (Deleted old revision 20241128052245!Spectral-graph-theory-AA-2024.pdf: Duplicated file: content was: "Spectral-graph-theory-Cheeger-AA-2024", and the only contributor was "Liuexp" (talk))
- 05:22, 28 November 2024 Liuexp talk contribs uploaded a new version of File:Spectral-graph-theory-AA-2024.pdf
- 05:14, 28 November 2024 Liuexp talk contribs created page File:Spectral-graph-theory-AA-2024.pdf
- 05:14, 28 November 2024 Liuexp talk contribs uploaded File:Spectral-graph-theory-AA-2024.pdf
- 08:23, 25 November 2024 Zhangyiyao talk contribs created page 高级算法 (Fall 2024)/第二次作业提交名单 (Created page with " 如有错漏请邮件联系助教. <center> {| class="wikitable" |- ! 学号 !! 姓名 |- | 211220076 || 杨景越 |- | 211220152 || 吴振宇 |- | 211250001 || 鞠哲 |- | 211250044 || 朱家辰 |- | 211250182 || 胡皓明 |- | 211502020 || 周相羽 |- | 211820202 || 彭钰朝 |- | 211830008 || 缪天顺 |- | 221220002 || 沈均文 |- | 221502010 || 梁志浩 |- | 221840186 || 陈端锐 |- | 221840188 || 谭泽晖 |- | 502023330043 || 吕铸恒 |- | 50202...") Tag: Visual edit: Switched
- 04:18, 22 November 2024 Liumingmou talk contribs uploaded a new version of File:数据科学基础 (Fall 2024) Convergence-compressed.pdf
- 04:15, 22 November 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/Entropy and volume of Hamming balls (Created page with "在求解抛掷公平硬币（fair coin）的尾概率时，我们经常会需要分析如下二项式系数求和： :<math>\sum_{k=0}^r{n\choose k}</math>，对于某个<math>1\le r\le n</math> 这其实等价与求一个 <math>n</math> 维汉明空间中半径为 <math>r</math> 的球的体积。 :{|border="2" width="100%" cellspacing="4" cellpadding="3" rules="all" style="margin:1em 1em 1em 0; border:solid 1px #AAAAAA; border-collapse:collapse;empty-cells:show;" | :'...")
- 04:15, 22 November 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/Hoeffding's lemma (Created page with "霍夫丁引理（Hoeffding's lemma）在霍夫丁不等式（[https://en.wikipedia.org/wiki/Hoeffding%27s_inequality Hoeffding's inequality]）的证明中，扮演着关键角色。该引理陈述如下： {{Theorem|霍夫丁引理| :若随机变量 <math>Y</math> 满足 <math>\mathbb{E}[Y]=0</math> 且存在实数 <math>a,b\in\mathbb{R}</math> 使得几乎必然地 (a.s.) <math>a\le Y\le b</math>，则对于任意 <math>\lambda\in\mathbb{R}</math>，都有 ::<math>\ma...")
- 04:13, 22 November 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) Concentration.pdf
- 04:13, 22 November 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) Concentration.pdf
- 12:56, 18 November 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/第四次作业提交名单 (Created page with "<center> {| class="wikitable" |- ! 学号 |- | 221850088 |- | 221850088 |- | 221870109 |- | 221900009 |- | 221900024 |- | 221900028 |- | 221900029 |- | 221900029 |- | 221900036 |- | 221900038 |- | 221900038 |- | 221900042 |- | 221900046 |- | 221900055 |- | 221900068 |- | 221900073 |- | 221900075 |- | 221900083 |- | 221900084 |- | 221900085 |- | 221900091 |- | 221900124 |- | 221900128 |- | 221900140 |- | 221900159 |- | 221900159 |- | 221900168 |- | 221900183 |- | 2219002...")
- 08:31, 15 November 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) Convergence-compressed.pdf
- 08:31, 15 November 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) Convergence-compressed.pdf
- 13:41, 13 November 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/Problem Set 5 (Created page with "*每道题目的解答都要有完整的解题过程，中英文不限。 *我们推荐大家使用LaTeX, markdown等对作业进行排版。 *没有条件的同学可以用纸笔完成作业之后拍照。 == Assumption throughout Problem Set 5 == <p>Without further notice, we are working on probability space <math>(\Omega,\mathcal{F},\Pr)</math>.</p> <p>Without further notice, we assume that the expectation of random variables are well-defined.</p> == Problems (...")
- 14:38, 10 November 2024 Etone talk contribs created page Assignment 3, Fall 2024 (Created page with "Held-Hou(1980) 讨论了当外部强迫的经向分布呈二次勒让德多项式，即<math>\dfrac{\Theta_E(\phi,z)}{\Theta_o}=1-\dfrac{2}{3}\Delta_H P_2(\sin \phi)+\Delta_v(\dfrac{z}{H}-\dfrac{1}{2})</math>的情况下，哈德莱环流内的风场、温度场、环流的空间范围等将怎样随纬度和外力强迫的强度而变化。 如果将外力强迫的空间分布改为<math>\dfrac{\Theta_E(\phi,z)}{\Theta_o}=1-\Delta_H(\sin^3 \phi - \dfrac{1}{4})+\Delta_v...")
- 02:40, 9 November 2024 Zhangyiyao talk contribs created page 高级算法 (Fall 2024)/Problem Set 2 (Created page with "*每道题目的解答都要有完整的解题过程，中英文不限。 *我们推荐大家使用LaTeX, markdown等对作业进行排版。 == Problem 1 == '''(a.)''' Let <math> M_1 = (E_1, \mathcal{I}_1) </math> and <math> M_2 = (E_2, \mathcal{I}_2) </math> be two matroids with <math> E_1 \cap E_2 = \emptyset </math>. Define <math> \mathcal{I}_1 \oplus \mathcal{I}_2 = \{ A_1 \cup A_2 : A_1 \in \mathcal{I}_1, A_2 \in \mathcal{I}_2 \} </math>. Prove that <math> M := (...")
- 05:25, 4 November 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/第三次作业提交名单 (Created page with "<center> {| class="wikitable" |- ! 学号 |- | 221850088 |- | 221870109 |- | 221900009 |- | 221900009 |- | 221900028 |- | 221900029 |- | 221900036 |- | 221900038 |- | 221900042 |- | 221900046 |- | 221900055 |- | 221900068 |- | 221900073 |- | 221900075 |- | 221900083 |- | 221900084 |- | 221900085 |- | 221900091 |- | 221900124 |- | 221900128 |- | 221900140 |- | 221900159 |- | 221900168 |- | 221900183 |- | 221900187 |- | 221900208 |- | 221900209 |- | 221900210 |- | 2219002...")
- 14:12, 1 November 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) Continuous.pdf
- 14:12, 1 November 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) Continuous.pdf