All blog articles

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