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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: 971 arXiv preprints and 29 OpenAlex records.
Newest papers, page 18
Exact Theory and Optimal Stepsizes for Stochastic Gradient Descent in Smooth Convex Minimization
This work considers the design of stepsize schedules for stochastic gradient descent in smooth convex optimization.Two choices suffice: $k$-out sampling leaves $O(n/k)$ intercomponent edges for $k\geq 2$
Given a simple undirected graph on $n$ vertices, random $k$-out sampling forms a spanning subgraph by having each vertex independently choose $k$ incident edges uniformly with replacement.The Quartic Gap Between Quantum and Dequantized Algorithms for Linear Algebra Is Tight
Quantum algorithms for linear algebra that access a matrix $A$ through quantum random access memory (QRAM) prepare quantum states proportional to the solutions of linear systems and related problems.Cost-Aware Stopping for Freeze-Thaw Bayesian Optimization: When Does One-Step Lookahead Suffice?
Freeze-thaw Bayesian optimization (BO) evaluates candidates in resumable increments but usually stops at a budget or convergence test.Regret-Optimal Wasserstein-Robust Linear Regression
Distributionally robust optimization (DRO) minimizes worst-case risk under distributional uncertainty, but its decisions can be suboptimal in terms of their excess risk, or regret.Functional Tensor Trains for High-Order Greeks and Exposure Tails of Multi-Asset Structured Products
Risk management of worst-of autocallables needs price sensitivities (Greeks) up to third order and the potential future exposure, a tail quantile of the note's future value.Persistence of Unitary Almost Mathieu Operator Gaps Ten Dry Martinis, Five on the Rim
We determine exactly which gap labels are realized by open spectral gaps for the unitary almost Mathieu operator at every irrational frequency and all coupling constants ($0<λ_1,λ_2\leq1$).Time-optimal quantum dynamics under fixed-norm generators
We investigate the dynamics of quantum systems whose evolution is governed by linear generators of fixed unitarily invariant norm.Instance-dependent sequential limits as an exact information ledger
Instance-dependent limits for bandit regret, sequential tests, best-arm identification and Markov decision processes are proved by one chain.A Counterexample to the Gyarmati-Matolcsi-Ruzsa Conjecture
We provide a counterexample to the non-abelian Gyarmati-Matolcsi-Ruzsa conjecture.A new upper bound for $A(19,6,8)$
We compute Polak's bound $A_4(19,6,8)$ for binary constant weight codes, obtaining the numerical value $673.04001$.The Prior-Force Family of Implicit Denoiser Priors and Its Decisions in Linear Inverse Problems
Implicit priors given by Gaussian denoisers successfully regularize a wide range of inverse problems in approaches such as plug-and-play (PnP), regularization by denoising (RED) and score-based…Exhaustive Construction of Generalized Parent Hamiltonians for Matrix Product States
Characterizing local Hamiltonians that host interesting many-body states as eigenstates has been an important problem in quantum many-body physics.Distance to integrability and complexity
We consider nearest-neighbour interactions on spin-1/2 chains.ProLand: A New Infeasible Manifold Optimization Method for LoRA Fine-Tuning
Low-rank adaptation (LoRA) enables parameter-efficient fine-tuning but can suffer from redundant basis directions.Model Collapse Is Avoidable Even as Real Data Vanishes: A Sharp Criterion for Iterative Gaussian Estimation
Large generative models are commonly trained on data collected from the open web, which may contain data produced by previous generations of the same model.Outstrumental Variable Regression
Estimating the causal effect of a treatment $X$ on an outcome $Y$ from observational data in the presence of unobserved confounding requires additional structure or assumptions.Phase-space dynamics and multicomponent wave-packet structures in the Dunkl anharmonic oscillator
We study the phase-space dynamics and multicomponent wave-packet structures of the Dunkl anharmonic oscillator (Kerr medium).The Rise of Low Precision Floating Point
Floating point computing has dominated scientific computations since the 1950s because of its versatile ability to approximate real numbers with both sufficiently high precision and sufficiently…Optimistic Gradient Algorithms with Randomized Coordinate and Variance Reduction Strategies for Composite Inclusions
In this paper, we consider a class of possibly nonmonotone finite-sum composite inclusions in which evaluating all components or updating all coordinates at every iteration can be computationally…
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