All blog articles
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Online Learning and Statistical Physics
Oct 21, 2025
exposition
learning-theory
optimization
stat-physics
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A better bound for the mean-field gap
Sep 1, 2025
exposition
senior-thesis
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Why does the variance shrink when you truncate a normal distribution?
Jun 28, 2025
exposition
probability
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Some derivative is zero
Apr 26, 2025
problems
analysis
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Some problems II
Feb 28, 2025
problems
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Some problems I
Feb 24, 2025
problems
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Asymptotic Theory and AIC
Jan 23, 2025
exposition
learning-theory
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Understanding the fundamental integral in singular learning
Dec 30, 2024
exposition
learning-theory
SLT
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The generalization error computation for linear models
Dec 21, 2024
exposition
learning-theory
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Cubics II: Constant cross-ratios
Oct 29, 2024
euclidean-geometry
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BTS III: Some loose ends
Oct 22, 2024
exposition
learning-theory
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Cubics I: A better group law
Oct 15, 2024
euclidean-geometry
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BTS II: An introduction to learning theory
Oct 5, 2024
exposition
learning-theory
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Behind the Scenes of SMO Q4, Part 1: the Proposal Backstory
Sep 28, 2024
exposition
learning-theory
problem-proposal
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Sampling from a Gibbs' distribution
May 28, 2024
exposition
senior-thesis
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Too lazy to integrate
May 18, 2024
exposition
probability
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Coppersmith's method
Apr 1, 2024
exposition
computer-science
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Coupling Arguments
Mar 9, 2024
exposition
probability
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Minimax duality from online learning
Jan 24, 2024
exposition
learning-theory
optimization
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Towards understanding duality
Jan 1, 2024
exposition
optimization
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Principle of Inclusion-Exclusion
Dec 9, 2023
exposition
combinatorics
probability
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Sales Pitch for Statistical Physics
Oct 8, 2023
exposition
senior-thesis
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Update (Sep 2023)
Sep 30, 2023
blog
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LaTeX Testing
Sep 30, 2023
blog
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A Wild Inequality
Sep 29, 2023
problems
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Polynomials With Small Coefficients
Sep 24, 2023
problems
exploration
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Subgaussianity and the mean-field gap
Sep 20, 2023
exposition
senior-thesis
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Dualizing Le Cam's Method
May 20, 2023
exposition
statistics
minimax-theory
optimization
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Mean-field approximation as the maximum of the regularized log-partition
Apr 10, 2023
exposition
senior-thesis
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A bound for the mean-field gap.
Sep 26, 2022
exposition
senior-thesis
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Low Degree Polynomial Recovery
Aug 14, 2022
exposition
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Optimal Transport
Aug 3, 2022
exposition
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Matroids!
Jul 25, 2022
exposition
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Laplace's method and Gaussian decomposition
Jul 25, 2022
exposition
senior-thesis
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The Curie-Weiss Model
Jul 25, 2022
exposition
senior-thesis
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Energy vs Entropy
Jun 29, 2022
exposition
senior-thesis
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Gibb's Inequality and Mean Field Approximations
Jun 29, 2022
exposition
senior-thesis
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The why of "Boltzmann"-type distributions
Jun 29, 2022
exposition
senior-thesis
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Setup for Statistical Physical Models
Jun 29, 2022
exposition
senior-thesis
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Log-concavity is preserved under integration over a dimension
Jan 14, 2022
problems
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Duality of Evaluation on Primitive Roots
Jan 12, 2022
problems
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Cool Rectangular Hyperbola Facts
May 28, 2021
euclidean-geometry
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Alteration
May 6, 2021
exposition
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Complex Ptolemy
Jan 31, 2021
exposition
original
euclidean-geometry
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Motivation for Covering Spaces
Jan 30, 2021
exposition
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Cab Fare Splitting
Dec 22, 2020
exposition
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Loci of Unit Modulus
Dec 12, 2020
problem
post-olympiad
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Perspectives, Birational Transformations
Jul 22, 2020
euclidean-geometry
exploration
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Metric Relations in Geometry
Jul 22, 2020
euclidean-geometry
exploration
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Analytic NT III
Jul 5, 2020
exposition
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USAMO 2020
Jun 24, 2020
problems
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Analytic NT II
Jun 17, 2020
exposition
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Analytic NT I
Jun 14, 2020
exposition
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Blowups, Imaginary Points
Jun 7, 2020
exposition
olympiad
exploration
euclidean-geometry
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More Hints of Duality
May 31, 2020
euclidean-geometry
exploration
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A Greedy Inequality
Apr 18, 2020
problems
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Thoughts about Putnam 2019
Dec 7, 2019
problems
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Dynamic Arguments Part 4
Nov 8, 2019
problems
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IMO 2019 Day 1
Jul 16, 2019
problems
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Olympiads and Theory
Jun 5, 2019
teaching
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An Automata Problem
May 25, 2019
problems
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A cool inequality
May 3, 2019
problems
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ARMO 2019 Grade 8-9
May 1, 2019
problemset
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239 Olympiad (2019)
Apr 12, 2019
problemset
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Problem Walkthrough #2
Apr 11, 2019
problems
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Problem Walkthrough #1
Apr 11, 2019
problems
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Dynamic Arguments (Pt 3)
Apr 8, 2019
problems
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IDMO 3 Solutions
Apr 8, 2019
problems
solutions
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Dynamic Arguments (Part 2)
Apr 4, 2019
problems
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Dynamic Arguments (Part 1)
Apr 4, 2019
problems