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把「The double Duhamel trick and the in/out decompos」写成可执行的阅读路径
This is a technical post inspired by separate conversations with Jim Col…
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「The free nilpotent group」笔记：问题从哪来、证明卡在哪
In a multiplicative group , the commutator of two group elements is defi…
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「A demonstration of the non-commutativity of the」笔记：问题从哪来、证明卡在哪
This will be a more frivolous post than usual, in part due to the holida…
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「Nonconventional ergodic averages and multiple re」：数学直觉如何落到可检验的步骤
Tim Austin, Tanja Eisner, and I have just uploaded to the arXiv our join…
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「254A, Notes 0: A review of probability theory」：数学直觉如何落到可检验的步骤
In preparation for my upcoming course on random matrices, I am briefly r…
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「254A, Notes 0a: Stirling’s formula」：数学直觉如何落到可检验的步骤
In this supplemental set of notes we derive some approximations for , wh…
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神经正切核NTK原理全解：无限宽神经网络收敛与泛化底层逻辑
神经正切核（NTK）是解释过参数化神经网络训练动力学、收敛性与泛化能力的核心理论工具。无限宽度的神经网络在梯度下降训练过程中，其NTK会固化为仅…
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「254A, Notes 1: Concentration of measure」笔记：问题从哪来、证明卡在哪
Suppose we have a large number of scalar random variables , which each h…
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把「254A, Notes 2: The central limit theorem」写成可执行的阅读路径
Consider the sum of iid real random variables of finite mean and varianc…
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「Mean field games」笔记：问题从哪来、证明卡在哪
This week at UCLA, Pierre-Louis Lions gave one of this year’s Distinguis…