随笔分类 -  高维概率论（High dimensional probability）

主要围绕大数定律（Law of large number）和中心极限定理（Central limit theorem）来介绍高维概率论的基本概念和相关问题，主要的研究成果及其在信息论，压缩感知，深度学习和机器视觉中的应用。
Construction methods in high dimensional probaility
摘要：Construction of epsilon-net, packing, ... $\alpha$ 阅读全文
posted @ 2020-06-30 00:13 科研民工 阅读(167) 评论(0) 推荐(0)
Epsilon-net in high dimensional probability
摘要：Will fill up this soon. 阅读全文
posted @ 2020-06-30 00:10 科研民工 阅读(76) 评论(0) 推荐(0)
Methods for establishing concentration of measure inequalities
摘要：entropy method,... 阅读全文
posted @ 2020-06-30 00:09 科研民工 阅读(70) 评论(0) 推荐(0)
Properties commonly used in high dimensional probability
摘要：iid, stationarity, separability, continuous modularity, ... 阅读全文
posted @ 2020-06-30 00:07 科研民工 阅读(62) 评论(0) 推荐(0)
Commonly used bounds of expected supremum of empirical processes
摘要：maximal inequality, Sudakov inequality, Slepian-Fernique inequality, Super-Sudokaov inequality, Fernique inequality, majorizing measure theorem, gener 阅读全文
posted @ 2020-06-30 00:05 科研民工 阅读(81) 评论(0) 推荐(0)
Commonly used concentration of measure inequalities
摘要：Markov inequality, Hoeffdin inequality, Chernoff inequality, Talagrand inequality, 阅读全文
posted @ 2020-06-30 00:00 科研民工 阅读(86) 评论(0) 推荐(0)
Big picture of high dimensional probability
摘要：basic problems 阅读全文
posted @ 2020-06-29 23:58 科研民工 阅读(114) 评论(0) 推荐(0)