Probability & Statistics · Mathematics & Statistics
Probability
The newest papers in Probability that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
298 papers, from 31 August 2026 to 5 November 2026: 270 arXiv preprints and 28 OpenAlex records.
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Newest papers, page 7
Accelerating Non-Smooth and Heavy-Tailed Sampling
Anchored Langevin dynamics (ALD) is useful for non-smooth sampling where the density of the target distribution is possibly non-differentiable and heavy-tailed; reflected anchored Langevin dynamics…Weighted selection from elliptical distributions: a stochastic representation and an application to portfolio separation
We represent (weighted-)selection-elliptical distributions as an affine combination of the $q$ selection variables plus an elliptical term whose direction alone is independent.The Geometry of Hierarchical Navigation: Accuracy and Query Cost for Point Process Input
Large-scale information retrieval systems, including retrieval-augmented generation (RAG) and recommendation engines, widely use multi-layered hierarchical data structures for ultra-fast approximate…Subspace Uncertainty and Sharp Sampling Thresholds on the Boolean Cube
We study Gaussian regression under squared population $L_2$ loss in a known $m$-dimensional subspace of degree-at-most-$k$ functions on the $d$-dimensional Boolean cube.Coupling Independence Implies Zero-Freeness
For $Δ\ge2$ and $q\ge11Δ/6$, we prove that the antiferromagnetic $q$-state Potts partition function on finite simple graphs of maximum degree at most $Δ$ has no Fisher zeros in a graph-uniform…Distributionally Robust Adaptive Iterative Covariance Steering for Small-Body Proximity Operations
Autonomous small-body proximity operations require continuous-thrust guidance under uncertain gravity, solar-radiation pressure (SRP), and stochastic disturbances.Reflexivity of Grothendieck Spaces and Strongly Normal Sequences
A normalized sequence $(y_n)$ in the dual $E^{*}$ of a Banach space $E$ is called normal if it is weak-star null, and strongly normal if [ G(y_n)=\left{x\in…Reflected Anchored Langevin Algorithms
First order Langevin algorithms for constrained sampling in machine learning, such as projected Langevin Monte Carlo which are based on discretizations of reflected Langevin dynamics, require…Fluctuations of Nonlinear Observables in Mean Field Neural Network Training
Mean field limits describe the training dynamics of wide neural networks through the evolution of the empirical distribution of their parameters.Simulated annealing and Weak Poincaré inequalities with inverse-polynomial accuracy for the Sherrington-Kirkpatrick model
We study sampling from the Gibbs distribution of the Sherrington-Kirkpatrick (SK) model with Glauber dynamics.Moment Methods for Uniform Average Mixing on Strongly Regular Graphs
We study continuous-time quantum walks on connected strongly regular graphs that are not complete, observed at a random time drawn from a freely chosen probability law.Gaussian Equivalence for Multi-Head Self-Attention
A theoretical understanding of multi-head self-attention is fundamental to the study of modern neural networks.Sharp Asymptotic Theory of Maximum Likelihood Estimation for Gaussian Processes with an RBF Kernel
Gaussian processes (GPs) are widely used across machine learning, spatial statistics, time-series analysis, optimization, Bayesian statistics, and scientific applications.Neural Sampling with Reweighted Normalizing Flows via the Wasserstein--Fisher--Rao JKO Scheme
We propose a neural algorithm for sampling from distributions specified by unnormalized Boltzmann densities.Fast Almost-Uniform Sampling of Random $k$-SAT Solutions
We study approximately uniform sampling of satisfying assignments from random $k$-SAT formulas.A Hawkes Microfoundation for Multitype Inverse Gaussian Subordinators
We provide an event-level Hawkes microfoundation for a multitype inverse-Gaussian stochastic clock.Efficient Posterior Sampling for $\mathbb Z_2$ Synchronization
Consider the $\mathbb Z_2$ synchronization problem \[ \boldsymbol{Y} = \fracλ{\sqrt n} θθ^{\top} + \boldsymbol{Z}, \] where $θ$ is uniform on $\{-1,1\}^n$ and $\boldsymbol{Z}$ is an independent…Symmetry-Aware Feature Learning: A Polynomial Separation for Multi-Index Models
We establish a polynomial sample complexity separation between symmetry-aware and symmetry-agnostic feature learning.Exponential investors with weakly mean-reverting prices
We investigate a continuous-time financial market where the asset price exhibits weak (sublinear) mean reversion and has a nonzero drift.Spectral Recovery of Point Clouds from Noisy Geometric Graphs
We study the problem of recovering low-dimensional latent geometry from a random geometric graph generated by noisy, high-dimensional data.