Zobrazeno 1 - 10
of 331
pro vyhledávání: '"65C35"'
Autor:
MacKay, Noah M.
Gravitons are understood to be the quantum noise of gravitational waves and between two gravitational masses. Supposing a coalescing binary resembles a rotating and contracting volume, the gravitons in an effective thermal gas undergo Brownian motion
Externí odkaz:
http://arxiv.org/abs/2410.04562
Motivated by a recent method for approximate solution of Fredholm equations of the first kind, we develop a corresponding method for a class of Fredholm equations of the \emph{second kind}. In particular, we consider the class of equations for which
Externí odkaz:
http://arxiv.org/abs/2409.19642
This work focuses on developing and motivating a stochastic version of a wellknown inverse problem methodology. Specifically, we consider the iteratively regularized Gauss-Newton method, originally proposed by Bakushinskii for infinite-dimensional pr
Externí odkaz:
http://arxiv.org/abs/2409.12381
Autor:
Qian, Elizabeth, Beattie, Christopher
Ensemble Kalman Inversion (EKI) methods are a family of iterative methods for solving weighted least-squares problems, especially those arising in scientific and engineering inverse problems in which unknown parameters or states are estimated from ob
Externí odkaz:
http://arxiv.org/abs/2409.08862
Our focus is on simulating the dynamics of non-interacting particles, which, under certain assumptions, can be formally described by the Dean-Kawasaki equation. The Dean-Kawasaki equation can be solved numerically using standard finite volume methods
Externí odkaz:
http://arxiv.org/abs/2409.00299
Given a reaction-diffusion system modelling the sulphation phenomenon, we derive a single regularised non-conservative and path-dependent nonlinear partial differential equation and propose a probabilistic interpretation using a non-Markovian McKean-
Externí odkaz:
http://arxiv.org/abs/2407.19301
We propose a zero-order optimization method for sequential min-max problems based on two populations of interacting particles. The systems are coupled so that one population aims to solve the inner maximization problem, while the other aims to solve
Externí odkaz:
http://arxiv.org/abs/2407.17373
A novel multiscale consensus-based optimization (CBO) algorithm for solving bi- and tri-level optimization problems is introduced. Existing CBO techniques are generalized by the proposed method through the employment of multiple interacting populatio
Externí odkaz:
http://arxiv.org/abs/2407.09257
Deep neural networks and other modern machine learning models are often susceptible to adversarial attacks. Indeed, an adversary may often be able to change a model's prediction through a small, directed perturbation of the model's input - an issue i
Externí odkaz:
http://arxiv.org/abs/2407.08678
We show that genealogical trees arising from a broad class of non-neutral models of population evolution converge to the Kingman coalescent under a suitable rescaling of time. As well as non-neutral biological evolution, our results apply to genetic
Externí odkaz:
http://arxiv.org/abs/2406.16465