196 citations · 537 across the 39 of their papers we have counts for
9 papers · 1 filter
Explicit stabilized implementation of singly diagonally implicit Runge-Kutta methods
Ibrahim Almuslimani, Gilles Vilmart, Konstantinos Zygalakis
Implicit methods are a natural approach for the integration of stiff differential equations, to avoid time-step restrictions faced by standard explicit integrators. Explicit stabil…
The Forward-Backward Envelope for Sampling with the Overdamped Langevin Algorithm
Armin Eftekhari, Luis Vargas, Konstantinos Zygalakis
In this paper, we analyse a proximal method based on the idea of forward-backward splitting for sampling from distributions with densities that are not necessarily smooth. In parti…
The connections between Lyapunov functions for some optimization algorithms and differential equations
J. M. Sanz-Serna, Konstantinos C. Zygalakis
In this manuscript, we study the properties of a family of second-order differential equations with damping, its discretizations and their connections with accelerated optimization…
PDE-Inspired Algorithms for Semi-Supervised Learning on Point Clouds
Oliver M. Crook, Tim Hurst, Carola-Bibiane Schönlieb +2
Given a data set and a subset of labels the problem of semi-supervised learning on point clouds is to extend the labels to the entire data set. In this paper we extend the labels b…
Contractivity of Runge-Kutta methods for convex gradient systems
J. M. Sanz-Serna, Konstantinos C. Zygalakis
We consider the application of Runge-Kutta (RK) methods to gradient systems , where, as in many optimization problems, is convex and (globall…
Probabilistic Linear Multistep Methods
Onur Teymur, Konstantinos Zygalakis, Ben Calderhead
We present a derivation and theoretical investigation of the Adams-Bashforth and Adams-Moulton family of linear multistep methods for solving ordinary differential equations, start…