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As an example for the fast calculation of distributional parameters of Gaussian processes, we propose a new Monte Carlo algorithm for the computation of quantiles of the supremum norm of weighted Brownian bridges. As it is known, the…

Computation · Statistics 2021-01-05 Jürgen Franke , Mario Hefter , André Herzwurm , Klaus Ritter , Stefanie Schwaar

We apply Bayesian statistics to the estimation of correlation functions. We give the probability distributions of auto- and cross-correlations as functions of the data. Our procedure uses the measured data optimally and informs about the…

Data Analysis, Statistics and Probability · Physics 2022-12-27 Angel Gutierrez-Rubio , Juan S. Rojas-Arias , Jun Yoneda , Seigo Tarucha , Daniel Loss , Peter Stano

Viscophoresis refers to the transport of suspended nanoparticles driven by a steep viscosity gradient. This work investigates this new transport effect using a random walk simulation. By modelling position-dependent Brownian motion,…

Fluid Dynamics · Physics 2025-01-27 Klaus Mathwig

Data recordings are often corrupted by noise, and it can be difficult to isolate clean data of interest. For example, mobile electroencephalography is commonly corrupted by motion artifact, which limits its use in real-world settings. Here,…

Signal Processing · Electrical Eng. & Systems 2024-01-23 Ryan J. Downey , Daniel P. Ferris

The aim of this paper is to introduce a new Monte Carlo method based on importance sampling techniques for the simulation of stochastic differential equations. The main idea is to combine random walk on squares or rectangles methods with…

Probability · Mathematics 2010-10-22 Madalina Deaconu , Antoine Lejay

This work proposes a Bayesian rule based on the mixture of a point mass function at zero and the logistic distribution to perform wavelet shrinkage in nonparametric regression models with stationary errors (with short or long-memory…

Methodology · Statistics 2024-04-24 Alex Rodrigo dos S. Sousa , Mauricio Zevallos

We present a comparison between various algorithms of inference of covariance and precision matrices in small datasets of real vectors, of the typical length and dimension of human brain activity time series retrieved by functional Magnetic…

Statistical Mechanics · Physics 2023-02-07 Miguel Ibáñez-Berganza , Carlo Lucibello , Francesca Santucci , Tommaso Gili , Andrea Gabrielli

We present a new simple method for rounding a semidefinite programming relaxation of a constraint satisfaction problem. We apply it to the problem of approximate angular synchronization. Specifically, we are given directed distances on a…

Data Structures and Algorithms · Computer Science 2018-12-11 Kevin L. Chang , Alantha Newman

This dissertation shows that careful injection of noise into sample data can substantially speed up Expectation-Maximization algorithms. Expectation-Maximization algorithms are a class of iterative algorithms for extracting maximum…

Machine Learning · Statistics 2014-11-26 Osonde Adekorede Osoba

Numerical algorithms are proposed for simulating the Brownian dynamics of charged particles in an external magnetic field, taking into account the Brownian motion of charged particles, damping effect and the effect of magnetic field…

Computational Physics · Physics 2009-05-21 L. J. Hou , Z. L. Mišković , A. Piel , P. K. Shukla

We study the dynamics of a Brownian circle swimmer with a time-dependent self-propulsion velocity in an external temporally varying harmonic potential. For several situations, the noise-free swimming paths, the noise-averaged mean…

Soft Condensed Matter · Physics 2017-02-21 Soudeh Jahanshahi , Hartmut Löwen , Borge ten Hagen

We present a new method for sampling stochastic displacements in Brownian Dynamics (BD) simulations of colloidal scale particles. The method relies on a new formulation for Ewald summation of the Rotne-Prager-Yamakawa (RPY) tensor, which…

Soft Condensed Matter · Physics 2017-04-26 A. M. Fiore , F. Balboa Usabiaga , A. Donev , J. W. Swan

This paper studies the statistical models of the noise-robust normalized subband adaptive filter (NR-NSAF) algorithm in the mean and mean square deviation senses involving transient-state and steady-state behavior by resorting to the method…

Signal Processing · Electrical Eng. & Systems 2019-08-22 Yi Yu , Haiquan Zhao , Badong Chen , Wenyuan Wang , Lu Lu

A new image denoising algorithm to deal with the additive Gaussian white noise model is given. Like the non-local means method, the filter is based on the weighted average of the observations in a neighborhood, with weights depending on the…

Other Statistics · Statistics 2011-11-04 Qiyu Jin , Ion Grama , Quansheng Liu

The noise generated by the friction of two rough surfaces under weak contact pressure is usually called roughness noise. The underlying vibration which produces the noise stems from numerous instantaneous shocks (in the microsecond range)…

Classical Physics · Physics 2013-10-22 Viet Hung Dang , Joël Perret-Liaudet , Julien Scheibert , Alain Le Bot

In a random ray method of neutral particle transport simulation, each iteration begins by sampling a set of rays before proceeding to solve the characteristic transport equation along the linear paths the rays follow. Historically,…

Computational Physics · Physics 2025-01-13 Samuel Pasmann , John Tramm

We present a cluster kinetic Monte-Carlo algorithm for active matter systems of self-propelled particles with special focus on steric interactions. The kinetic event-chain algorithm is based on the event-chain Monte-Carlo method and is…

Soft Condensed Matter · Physics 2026-05-07 Nico Schaffrath , Thevashangar Sathiyanesan , Tobias A. Kampmann , Jan Kierfeld

We present a hybrid Brownian dynamics / Monte Carlo algorithm for simulating solutions of highly entangled semiflexible polymers or filaments. The algorithm combines a Brownian dynamics time-stepping approach with an efficient scheme for…

Soft Condensed Matter · Physics 2015-06-25 Shriram Ramanathan , David C Morse

Fastest arrival events, where the first among many diffusing particles reaches a target, are central in triggering signal initiation in molecular stochastic systems. Classical approaches to simulate such events rely on full trajectory…

Probability · Mathematics 2026-05-26 Emmanuel Akame Mfoumou , David Holcman

Noise problems in signals have gained huge attention due to the need of noise-free output signal in numerous communication systems. The principal of adaptive noise cancellation is to acquire an estimation of the unwanted interfering signal…

Other Computer Science · Computer Science 2011-04-12 Lilatul Ferdouse , Nasrin Akhter , Tamanna Haque Nipa , Fariha Tasmin Jaigirdar