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Mathematics & Statistics
New mathematics and statistics is posted on arXiv, often long before it appears in a journal. This page shows the newest papers ReadSearch has read, from algebra and geometry to analysis, probability and applied mathematics.
The newest 1,000 papers, from 13 October 2026 to 5 November 2026: 968 arXiv preprints and 32 OpenAlex records.
Newest papers, page 39
Efficient Ground-State Manifold Amplification for Rydberg Atom Arrays via Houdayer Cluster Updates
We demonstrate a hybrid quantum-classical approach for exploring ground-state manifolds of maximum independent set problems, in which quantum hardware supplies the initial solutions and an entirely…Convergence of stochastic gradient descent for learning linear neural networks
Stochastic gradient descent (SGD) is the cornerstone of modern deep learning, yet its theoretical convergence properties remain poorly understood in non-convex settings.OptScientist: Automated Discovery of Optimization Laws
Many scientific phenomena are best understood as outcomes of underlying optimization problems, yet automated scientific discovery has largely focused on recovering equations that describe observed…The Dynamics of Collapse and Recovery in Clustered Federated Learning
Clustered federated learning (CFL) can suffer from cluster collapse.Continuous-Time Policy Gradient from Discrete Data: Convergence Analysis and Model-Free Algorithms
Continuous-time reinforcement learning seeks an optimal policy under unknown dynamics driven by stochastic differential equations using observations collected at discrete times.Birthday Estimators Are Uniformly Optimal for Renyi Entropy
Collisions are a basic probe of unknown distributions, used for testing and for counting substructures in graphs, and they underlie Rényi entropy, a fundamental measure of uncertainty with…Generic finiteness of solutions to parametrized systems of generalized polynomial inequalities
We study parametrized systems of $\mathit{generalized}$ polynomial inequalities, $(c \circ x^B) \in C$, for a positive variable vector $x \in \mathbb{R}^n_>$, a $\mathit{real}$ exponent matrix $B…Complete Modified Logarithmic Sobolev Inequalities for one-dimensional quantum Spin Chain
We prove a complete modified logarithmic Sobolev inequality with a system-size-independent constant for Chen--Kastoryano--Gilyén Gibbs samplers on one-dimensional spin chain at every fixed positive…Borrowing Strength Across Stores: Transfer Learning for Choice-Based Revenue Management
Large retail chains must tailor assortment and pricing decisions to local customer preferences, yet even retailers with extensive sales records often have limited data for estimating demand at the…Methods for Deriving Nonlinear Kinetic Equations from the Dynamics of Quantum Systems
The article outlines key topics related to deriving kinetic equations and, in general, to the relationship between the evolution equations governing quantum many-particle systems.DSINC beyond Heston: the 3/2 and other non-affine stochastic-volatility models
This paper extends the damped-sinc (DSINC) method for American options beyond the affine Heston class to general one-factor stochastic-volatility models.Self-Supervised Tuning of Low-Fidelity Optimization Models via High-Fidelity Feedback
Low-fidelity (LF) optimization models are widely used in large-scale operations because they can be solved efficiently and reliably, but they often exhibit systematic errors relative to…The Prevalence of Straight Shots in Control Space for Reaching Optimal Quantum Performance
Gradient-based algorithms are often applied to identify an optimal control for maximizing a quantum objective functional by following a steepest ascent path to the top of the control landscape.Backtracking Direct, Indirect and Total Effects
Natural direct and indirect effects are defined through cross-world interventional counterfactuals.A Model-Free Continuous-Time RL Algorithm from Discrete-Time Off-Policy Data with End-to-End Guarantees
In this paper, we study continuous-time reinforcement learning, where the state follows an unknown stochastic differential equation but only a fixed off-policy batch of discrete-time transitions is…Lieb-Robinson bounds via the Combes-Thomas estimate
This paper studies quantum spin systems: networks of spins coupled by local interactions.A General Construction of Strict Models in HoTT
Homotopy type theory (HoTT) provides a natural setting for studying the metatheory of type theory, as it comes with additional extensionality principles compared to ordinary Martin-Löf type theory.Local crystallization in three-dimensional quantization
A long-standing conjecture on the quantization problem due to Gersho, which remains open in dimensions higher than two, posits that optimal quantizers crystallize into a lattice structure; in…A counterexample to Gale's conjecture in $\mathbb{R}^3$
It is known that for every partition of the sphere $S^2$ of unit diameter into four parts, the largest diameter of a part is at least $\sqrt{(3+\sqrt{3})/6} = 0.88807\dots$, and this bound is…Corrected Block Sparse Spectral Optimization: Exact Models, Finite Identification, and Local Dynamics
The block generalized-power method pairs threshold-based support selection with inexpensive Stiefel updates, but the standard block formulation conflates two nonequivalent objectives and leaves…
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