output
20032025
most citedNatural Language Processing (almost) from Scratch

5.2k citations

Showing 2021 · math.PRShow all

5 papers · 2 filters

math.PR2021

On the Gaussian surface area of spectrahedra

Srinivasan Arunachalam, Oded Regev, Penghui Yao

We show that for sufficiently large and for some universal constant , a random spectrahedron with matrices drawn from Gaussian orthogonal ensemble has…

math.PR2021★ 3 cited

Splitting algorithm and normed convergence for drawing the random fractal Loewner curves

Jiaming Chen, Vlad Margarint

In the first part of the paper we propose and study the approximation of the trace via the Ninomiya-Victoir splitting algorithm. We prove the uniform convergence in probabi…

math.PR2021

Dynamical Fractional and Multifractal Fields

Gabriel B. Apolinário, Laurent Chevillard, Jean-Christophe Mourrat

Motivated by the modeling of three-dimensional fluid turbulence, we define and study a class of stochastic partial differential equations (SPDEs) that are randomly stirred by a spa…

math.PR2021★ 10 cited

A quenched local limit theorem for stochastic flows

Alexander Dunlap, Yu Gu

We consider a particle undergoing Brownian motion in Euclidean space of any dimension, forced by a Gaussian random velocity field that is white in time and smooth in space. We show…

math.PR2021★ 21 cited

Exponential growth of random determinants beyond invariance

Gérard Ben Arous, Paul Bourgade, Benjamin McKenna

We give simple criteria to identify the exponential order of magnitude of the absolute value of the determinant for wide classes of random matrix models, not requiring the assumpti…