Monte Carlo (MC) and kinetic Monte Carlo (kMC) models are widely used for studying the
physicochemical surface phenomena encountered in most deposition processes. This …

We present a practical algorithm for computing the volume of a convex body with a target
relative accuracy parameter ε> 0 ε> 0. The convex body is given as the intersection of an …

Advances in data-driven methods have sparked renewed interest for applications in power
systems. Creating datasets for successful application of these methods has proven to be …

Sampling from high dimensional distributions and volume approximation of convex bodies
are fundamental operations that appear in optimization, finance, engineering, artificial …

We experimentally study the fundamental problem of computing the volume of a convex
polytope given as an intersection of linear halfspaces. We implement and evaluate …

Abstract Neural Networks (NNs) have increasingly apparent safety implications
commensurate with their proliferation in real-world applications: both unanticipated as well …

Numerous demand-side resources possess significant potential to offer substantial flexible
reserves and ancillary services, thereby enhancing the economic and technical performance …

Gibbs sampling, also known as Coordinate Hit-and-Run (CHAR), is a Markov chain Monte
Carlo algorithm for sampling from high-dimensional distributions. In each step, the algorithm …

High renewable penetration brings diversified operation states and complex dynamic
behaviors to power systems and challenges the dynamic security assessment calculation …

We study a rational matroid invariant, obtained as the tropicalization of the Feynman period
integral. It equals the volume of the polar of the matroid polytope and we give efficient …