Search Results for author: Daniel Paulin

Found 5 papers, 1 papers with code

Correction to "Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations"

no code implementations13 Feb 2024 Daniel Paulin, Peter A. Whalley

A method for analyzing non-asymptotic guarantees of numerical discretizations of ergodic SDEs in Wasserstein-2 distance is presented by Sanz-Serna and Zygalakis in ``Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations".

Unbiased Kinetic Langevin Monte Carlo with Inexact Gradients

no code implementations8 Nov 2023 Neil K. Chada, Benedict Leimkuhler, Daniel Paulin, Peter A. Whalley

We exhibit similar bounds using both approximate and stochastic gradients, and our method's computational cost is shown to scale logarithmically with the size of the dataset.

regression

On Mixing Times of Metropolized Algorithm With Optimization Step (MAO) : A New Framework

no code implementations1 Dec 2021 EL Mahdi Khribch, George Deligiannidis, Daniel Paulin

In this paper, we consider sampling from a class of distributions with thin tails supported on $\mathbb{R}^d$ and make two primary contributions.

Hamiltonian Descent Methods

4 code implementations13 Sep 2018 Chris J. Maddison, Daniel Paulin, Yee Whye Teh, Brendan O'Donoghue, Arnaud Doucet

Yet, crucially the kinetic gradient map can be designed to incorporate information about the convex conjugate in a fashion that allows for linear convergence on convex functions that may be non-smooth or non-strongly convex.

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