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Sampling-based motion planning methods, while effective in high-dimensional spaces, often suffer from inefficiencies due to irregular sampling distributions, leading to suboptimal exploration of the configuration space. In this paper, we…

Robotics · Computer Science 2025-08-28 Makram Chahine , T. Konstantin Rusch , Zach J. Patterson , Daniela Rus

In this paper we present the event-chain algorithms, which are fast Markov-chain Monte Carlo methods for hard spheres and related systems. In a single move of these rejection-free methods, an arbitrarily long chain of particles is…

Statistical Mechanics · Physics 2010-02-08 Etienne P. Bernard , Werner Krauth , David B. Wilson

We propose a new Monte Carlo algorithm for complex discrete distributions. The algorithm is motivated by the N-Fold Way, which is an ingenious event-driven MCMC sampler that avoids rejection moves at any specific state. The N-Fold Way can…

Computation · Statistics 2012-06-26 Firas Hamze , Nando de Freitas

A new acceleration algorithm to address the problem of multiple time scales in variational Monte Carlo simulations is presented. After a first attempted move has been rejected, the delayed rejection algorithm attempts a second move with a…

Other Condensed Matter · Physics 2009-11-10 Dario Bressanini , Gabriele Morosi , Silvia Tarasco , Antonietta Mira

A key difficulty that arises from real event data is imprecision in the recording of event time-stamps. In many cases, retaining event times with a high precision is expensive due to the sheer volume of activity. Combined with practical…

Methodology · Statistics 2020-01-22 Leigh Shlomovich , Edward Cohen , Niall Adams , Lekha Patel

We present a novel Monte-Carlo implementation of the EKRT model, MC-EKRT, for computing partonic initial states in high-energy nuclear collisions. Our new MC-EKRT event generator is based on collinearly factorized, dynamically fluctuating…

High Energy Physics - Phenomenology · Physics 2024-06-26 Mikko Kuha , Jussi Auvinen , Kari J. Eskola , Henry Hirvonen , Yuuka Kanakubo , Harri Niemi

Continuous-time random disturbances from the renewable generation pose a significant impact on power system dynamic behavior. In evaluating this impact, the disturbances must be considered as continuous-time random processes instead of…

Optimization and Control · Mathematics 2020-07-09 Yiwei Qiu , Jin Lin , Xiaoshuang Chen , Feng Liu , Yonghua Song

We present a hybrid sampling-surrogate approach for reducing the computational expense of uncertainty quantification in nonlinear dynamical systems. Our motivation is to enable rapid uncertainty quantification in complex mechanical systems…

Computation · Statistics 2022-01-27 Hang Yang , Yuji Fujii , K. W. Wang , Alex A. Gorodetsky

We develop a novel Markov chain Monte Carlo (MCMC) method that exploits a hierarchy of models of increasing complexity to efficiently generate samples from an unnormalized target distribution. Broadly, the method rewrites the Multilevel…

Methodology · Statistics 2022-09-05 Mikkel B. Lykkegaard , Tim J. Dodwell , Colin Fox , Grigorios Mingas , Robert Scheichl

In predictive modeling with simulation or machine learning, it is critical to accurately assess the quality of estimated values through output analysis. In recent decades output analysis has become enriched with methods that quantify the…

Methodology · Statistics 2023-10-27 Kimia Vahdat , Sara Shashaani

Efficient sampling from the Boltzmann distribution given its energy function is a key challenge for modeling complex physical systems such as molecules. Boltzmann Generators address this problem by leveraging continuous normalizing flows to…

Machine Learning · Computer Science 2025-10-17 Rishal Aggarwal , Jacky Chen , Nicholas M. Boffi , David Ryan Koes

Monte Carlo criticality simulations are widely used in nuclear safety demonstrations, as they offer an arbitrarily precise estimation of global and local tallies while making very few assumptions. However, since the inception of such…

Statistical Mechanics · Physics 2023-01-11 Kévin Fröhlicher , Eric Dumonteil , Loïc Thulliez , Julien Taforeau , Mariya Brovchenko

Models of stochastic processes are widely used in almost all fields of science. Theory validation, parameter estimation, and prediction all require model calibration and statistical inference using data. However, data are almost always…

Computation · Statistics 2022-09-07 David J. Warne , Thomas P. Prescott , Ruth E. Baker , Matthew J. Simpson

A detailed study of the di-boson Monte Carlo programs Pythia, MC@NLO and the program of Baur, Han and Ohnemus (BHO) is performed. None of these programs cover all aspects of di-boson production. The BHO code is used to produce event weights…

High Energy Physics - Phenomenology · Physics 2008-03-25 Gideon Bella

The leapfrog integrator is routinely used within the Hamiltonian Monte Carlo method and its variants. We give strong numerical evidence that alternative, easy to implement algorithms yield fewer rejections with a given computational effort.…

Computation · Statistics 2021-04-05 M. P. Calvo , D. Sanz-Alonso , J. M. Sanz-Serna

In this article we present an event generator based on the Monte Carlo program Powheg in combination with the matrix-element generator Recola. We apply it to compute NLO electroweak corrections to same-sign W-boson scattering, which have…

High Energy Physics - Phenomenology · Physics 2020-02-19 Mauro Chiesa , Ansgar Denner , Jean-Nicolas Lang , Mathieu Pellen

Random batch algorithms are constructed for quantum Monte Carlo simulations. The main objective is to alleviate the computational cost associated with the calculations of two-body interactions, including the pairwise interactions in the…

Computational Physics · Physics 2020-09-01 Shi Jin , Xiantao Li

We develop an algorithm for sampling from the unitary invariant random matrix ensembles. The algorithm is based on the representation of their eigenvalues as a determinantal point process whose kernel is given in terms of orthogonal…

Mathematical Physics · Physics 2014-04-02 Sheehan Olver , Raj Rao Nadakuditi , Thomas Trogdon

Monte Carlo simulations are commonly used to calculate photon reflectance, absorptance, and transmittance of multi-layer scattering and absorbing media, but they can quickly become prohibitively expensive as the number of layers increases.…

Optics · Physics 2025-09-30 Daniel Carne , Ziqi Guo , Xiulin Ruan

Monte Carlo sampling techniques have been proposed as a strategy to reduce the computational cost of contractions in tensor network approaches to solving many-body systems. Here we put forward a variational Monte Carlo approach for the…

Strongly Correlated Electrons · Physics 2012-05-01 Andrew J. Ferris , Guifre Vidal