Parallel Compute: A Case study of Speculative Decoding featured image

Parallel Compute: A Case study of Speculative Decoding

This note surveys five parallelism strategies for large-scale computing. It then follows speculative decoding from vanilla draft-then-verify and EAGLE to diffusion-based drafting, …

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Cao Xuan
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Sketch on Operational Research featured image

Sketch on Operational Research

运筹学、线性规划、整数规划、近似算法、在线算法与机制设计的课程笔记。

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Cao Xuan
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Stat-ML 讨论班笔记(一):统计推断基础 featured image

Stat-ML 讨论班笔记(一):统计推断基础

涵盖信息论基础(熵、散度、互信息)、指数分布族与广义线性模型、集中不等式。

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Cao Xuan
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Stat-ML 讨论班笔记(二):估计与泛化理论 featured image

Stat-ML 讨论班笔记(二):估计与泛化理论

经验过程与度量熵、泛化界、PAC-Bayes、极小极大下界(Le Cam / Fano / Assouad)以及约束风险不等式(强数据处理不等式、本地隐私、通信复杂度)

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Cao Xuan
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Stat-ML 讨论班笔记(三):在线学习与机器学习前沿 featured image

Stat-ML 讨论班笔记(三):在线学习与机器学习前沿

在线线性优化的 Stein 方法、深度神经网络的统计理论、扩散模型在 Wasserstein 距离下的离散化速率、随机与在线凸优化、离线到在线学习的保守乐观算法

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Cao Xuan
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Stanford CS234:Reinforcement Learning 课程简介与笔记 featured image

Stanford CS234:Reinforcement Learning 课程简介与笔记

漫谈从 MDP、policy gradient,到 imitation learning、multi-arm bandit、MCTS 和 AlphaZero 。

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Cao Xuan
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工科向点集拓扑习题整理 featured image

工科向点集拓扑习题整理

从做题角度整理点集拓扑课后习题与课堂笔记,覆盖积拓扑、分离公理、可数性与紧致性、连通性与连续映射等主题。

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Cao Xuan
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【数理逻辑】课程笔记与体验 featured image

【数理逻辑】课程笔记与体验

数理逻辑课程笔记与选课体验,涵盖命题逻辑、一阶逻辑和模态逻辑。

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Cao Xuan
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Communication Compelxity and its Application in Estimation featured image

Communication Compelxity and its Application in Estimation

Classical communication complexity problems, deterministic communication: lower bound and structure, randomization, conditional information complexity and direct sum, direct sum …

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Cao Xuan
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Minimax lower bounds: Le Cam and Fano featured image

Minimax lower bounds: Le Cam and Fano

minimax risk 是什么,为什么要研究 minimax risk 以及如何得到 minimax risk 的下界

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Cao Xuan
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