
Portfolio Optimization in Statistical Arbitrage: A Deep Dive
The article is a deep dive into portfolio optimization within statistical arbitrage research.
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The article is a deep dive into portfolio optimization within statistical arbitrage research.

A small comparison tests whether log-transforming a skewed target variable improves linear regression performance.

The article explains how small test sets can mislead model comparisons and why paired bootstrap methods help.

An explainer covers how Naive Bayes classification works, from Bayes' theorem to Laplace smoothing in text pipelines.
Survey of how large language models are being applied to formal mathematics research.
Chapter on statistics as part of a mathematics for AI series.
A chapter of a mathematics for AI series covering information theory in English.
Ax-Prover is presented as an agentic reasoning framework for theorem proving in mathematics and quantum physics.
Chapter on probability as part of a mathematics for AI series.
Chapter on linear algebra as part of a mathematics for AI series.
A chapter of a numerical methods library covers the mathematics underlying AI, including calculus and numerical techniques.
Discusses common misunderstandings about statistics among experienced researchers.

Walks through Principal Component Analysis as a mathematical method of compression.
A chapter of a mathematics for AI series covers calculus fundamentals.

The article explains confidence intervals as a way to estimate unknown population parameters and quantify uncertainty.

Explains how Knuth's harmonic sum gives quicksort's exact average cost.
Researchers extend a mathematical language to describe symmetry in layered materials, building on patterns found in crystals and stacked structures.
An article covers the Riemann Hypothesis and its connection to the distribution of prime numbers.
An arXiv paper presents an intuitive mathematical primer on the foundations of generative AI.
An analysis of 11,176 slide renders finds that only 0.54% of elements were baked into images when converting HTML to PPTX.

An article on the mathematics of three tetrahedra and Cavalieri's principle, drawn from a science museum exhibit.
Derives exact theory and optimal stepsizes for stochastic gradient descent in smooth convex minimization.

Article explains the geometric interpretation of matrix equations beyond solving systems.
The article explains the cryptography underlying electronic voting systems and argues why paper ballots remain essential.
A Reddit discussion covers a matrix multiplication algorithm rooted in graph theory.
A new mathematical proof resolves a conjecture from 2008 about limits on quantum computing speedups.

A tutorial shows how to visualize spherical harmonics as 3D sculptures on a sphere using Python.
Shared PDF of the classic 1954 book on how statistics can be misused.

On October 26, OpenAI announced that one of its internal models proved a result disproving the Exponential Time Hypothesis, and another AI lab reported a related finding the same day.
University of Sydney researchers identify fractal patterns that reveal fundamental limits to AI predictability.
CERN scientists report evidence of a particle decay so rare it occurs roughly once in ten billion events, after nearly four decades of searching.
Analyzes the penalized challenger in a top-two bandit algorithm for Bernoulli bandits with sharp non-asymptotic guarantees.
The article explains that a classifier with high accuracy can still miss every useful candidate due to base-rate effects.
A deterministic polynomial-time algorithm is presented for computing extensive-form proper equilibria in two-player zero-sum games.
Studies switching regret bounds for multi-armed bandits against oblivious adversaries.
Research examines wrong answer keys in the MMLU language model benchmark, conducted by AI agents.
The paper studies the randomized parallel complexity of optimizing weakly convex functions.
The Stacks Project is being formalized in the Lean proof assistant.
Tests whether large language models can accurately review scientific literature against a 102-article benchmark.
Develops a simulation-free method for unbalanced dynamic optimal transport with a general growth penalty.
The authors prove a nearly quadratic lower bound for linear optimization over convex bodies in the membership oracle model.
Research reports a two-dimensional reticular triaxial molecularly woven fabric.

Describes engineering a very large knowledge graph using deterministic data engineering rather than LLM inference.
The paper derives tight generalization bounds for noiseless inverse optimization problems.
Introduces D2ML, a machine learning approach for direct-to-biology small molecule screening.

An introductory guide to Fourier transformation and its mathematical basics for data scientists and AI engineers.
Write-up on expressing arbitrary integers using only four 2s and mathematical operations.
A conjecture-guided discovery method and benchmark are presented for symbolic equation discovery.
Presents mathematical advances on reproducing kernel quasi-Banach spaces with l^p coefficient norms.
Researchers show that adding phenanthrene as a co-guest in a crystalline sponge lets it reveal 3D structures of small, low-polarity molecules.
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