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「245C, Notes 2: The Fourier transform」笔记：问题从哪来、证明卡在哪
In these notes we lay out the basic theory of the Fourier transform, whi…
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读懂「The completeness and compactness theorems of fir」：先把定义、反例和适用范围钉死
The famous Gödel completeness theorem in logic (not to be confused with …
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把「Some notes on amenability」写成可执行的阅读路径
Recently, I have been studying the concept of amenability on groups. Thi…
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2026策略梯度算法全解析：从基础原理到主流模型落地避坑指南
策略梯度是强化学习核心算法体系，核心价值是直接优化智能体策略，适配连续、离散各类动作空间，解决传统值函数算法维度爆炸、无法直接优化策略的问题。目…
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读懂「245C, Notes 3: Distributions」：先把定义、反例和适用范围钉死
In set theory, a function is defined as an object that evaluates every i…
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读懂「An inverse theorem for the bilinear L^2 Strichar」：先把定义、反例和适用范围钉死
I’ve just uploaded to the arXiv my paper “An inverse theorem for the bil…
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「Szemeredi’s regularity lemma via random partitio」笔记：问题从哪来、证明卡在哪
In the theory of dense graphs on vertices, where is large, a fundamental…
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2026机器学习模型可解释性实操：黑盒拆解、方法对比与落地避坑技巧
机器学习模型可解释性是AI落地高风险行业的核心刚需，并非单纯的技术优化。所有高精度黑盒模型（深度神经网络、SVM等）都存在虚假拟合、伪相关性问题…
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「WordPress blocked again by great firewall of Chi」：数学直觉如何落到可检验的步骤
I have received some anecdotal evidence that wordpress blogs such as thi…
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「Presidential address at the National Academy of」：数学直觉如何落到可检验的步骤
This weekend I was in Washington, D.C., for the annual meeting of the Na…