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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 42
LowNet: Looped Wavelet Neural Networks with 24 Learnable Parameters for Solving Poisson Equations
Poisson equations frequently appear in various fields, such as mathematics, physics and informatics.Integrable building blocks for symplectic neural networks: learned-type layers, fiber-preserving layers, and what a single layer can do
Exactly symplectic neural networks are built almost exclusively from shear maps and gain expressivity only through depth.Approximating Independent Sets Using Additive Combinatorics
We give a deterministic quasi-polynomial time algorithm for approximating the largest independent set in a graph.Super Howe duality and rigidity of hybrid Fourier transforms
We characterize the hybrid Fourier transform on the Schwartz--Grassmann space $\caS(\bbR^m)\otimesΛ_{2n}$ by operator intertwining relations.Dimension-free comparison inequalities between $f$-divergences for Gaussian location mixtures
We establish dimension-free comparison inequalities between the Kullback-Leibler (KL) and $χ^2$-divergences and the squared Hellinger distance for Gaussian location mixtures with compactly supported…Non-Acceleration of the Heavy-Ball Method in 1D
Despite having an asymptotically optimal rate of convergence on convex quadratics, the acceleration of Polyak's heavy-ball method and a characterization of its dynamics within more general settings…Self-organizing reinforcement learning: a learner-free swarm approaches the explore-exploit optimum
The explore/exploit trade-off is the core problem of reinforcement learning (RL).Exact probability laws of random inner products: Dirichlet splines, overlaps, uncertainty, and Bargmann invariants
Inner products of random matrices and random quantum states---such as orbital inner products, expectation values, overlaps, and cyclic Bargmann invariants---are shown to follow from two underlying…Estimating Causal Bounds from Observational Data With Neural Generative Models
Identifying causal bounds from discrete observational data is a fundamental problem in causal inference.Response theory at low temperature for weakly interacting quantum spin systems
Recent work by Greenblatt, Lange, Marcelli, and Porta (Commun.Spatial Discretization Error for Quantum Chemistry Simulation
Nonrelativistic quantum chemistry is based on the Schrödinger equation in continuous, unbounded space.Upper Bound on the Correlation Energy of a Dense Fermi Gas in the Thermodynamic Limit
We prove that the random phase approximation provides an upper bound on the correlation energy of a three-dimensional, weakly interacting, Fermi gas in the thermodynamic limit at high density.De Finetti Structures in Networks of Quantum Systems
Consider $N$ identical quantum systems at the vertices of a graph, interacting via pairwise edge couplings.A discrete-continuous-time stochastic framework for attention-deficit/hyperactivity disorder-related symptom modeling and pharmacological intervention via methylphenidate
This paper presents an original mathematical and computational framework for modeling the efficacy of methylphenidate as an optimal control policy acting on the nonlinear dynamics of attention…The Hidden Look-Ahead: Point-in-Time Leakage in Electricity Market Data
Empirical studies of electricity prices routinely state that their models use only information available at the time of the trading decision.Rapid Mixing for Sampling Colorings of Random Graphs up to Tree Uniqueness Threshold
We study the mixing time of the single-site Glauber dynamics for sampling proper \(q\)-colorings on sparse Erdős-Rényi random graphs \(\mathcal{G}(n, d/n)\).DR-Learners for Generalizing CATEs from a Randomized Controlled Trial
Randomized clinical trials are essential for evaluating interventions, yet average treatment effects can obscure treatment effect heterogeneity, making conditional average treatment effects (CATEs)…Bias correcting transaction cost models for characteristic function based estimators
Effective transaction cost is a necessary step for devising any competing financial trading strategy in the absence of quote data.Semi-supervised learning on singular data sets
We propose to model singular data clouds by subanalytic sets, and develop an approach to semi-supervised learning in this setting.\textit{In situ} certification of multiparticle indistinguishability in a generic interferometer
We propose a scalable and efficient \textit{in situ} method for assessing the multiparticle indistinguishability of identical bosons or fermions in quantum interference experiments on linear…
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