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We study the problem of sampling weighted partial triangulations of a convex polygon. We consider the distribution where each partial triangulation $\sigma$ is chosen with probability proportional to $\lambda^{|\sigma|}$, where $\lambda>0$…

Discrete Mathematics · Computer Science 2026-05-22 Antonio Blanca , Alexandre Stauffer , Izabella Stuhl

Metropolis algorithm has been extensively employed for simulating a canonical ensemble and estimating macroscopic properties of a closed system at any desired temperature. A mechanical property, like energy can be calculated by averaging…

Statistical Mechanics · Physics 2017-09-28 K. P. N. Murthy

The ensemble average of physical properties of molecules is closely related to the distribution of molecular conformations, and sampling such distributions is a fundamental challenge in physics and chemistry. Traditional methods like…

Machine Learning · Computer Science 2025-08-06 Liya Guo , Zun Wang , Chang Liu , Junzhe Li , Pipi Hu , Yi Zhu

We consider generalizations of the classical inverse problem to Bayesien type estimators, where the result is not one optimal parameter but an optimal probability distribution in parameter space. The practical computational tool to compute…

Optimization and Control · Mathematics 2024-05-03 Michael Herty , Christian Ringhofer

We propose a Bayesian methodology for one-mode projecting a bipartite network that is being observed across a series of discrete time steps. The resulting one mode network captures the uncertainty over the presence/absence of each link and…

Machine Learning · Statistics 2012-12-13 Ioannis Psorakis , Iead Rezek , Zach Frankel , Stephen J. Roberts

Simulated Annealing using Metropolis steps at decreasing temperatures is widely used to solve complex combinatorial optimization problems. In order to improve its efficiency, we can use the Rejection-Free version of the Metropolis…

Optimization and Control · Mathematics 2022-10-10 Sigeng Chen , Jeffrey S. Rosenthal , Aki Dote , Hirotaka Tamura , Ali Sheikholeslami

We study an approach to simulating the stochastic relativistic advection-diffusion equation based on the Metropolis algorithm. We show that the dissipative dynamics of the boosted fluctuating fluid can be simulated by making random…

Nuclear Theory · Physics 2025-02-18 Gokce Basar , Jay Bhambure , Rajeev Singh , Derek Teaney

We describe a general strategy for sampling configurations from a given (Gibbs-Boltzmann or other) distribution. It is {\it not} based on the Metropolis concept of establishing a Markov process whose stationary state is the wanted…

Statistical Mechanics · Physics 2007-05-23 P. Grassberger , W. Nadler

We present several implementations of the Metropolis method, an adaptive Monte Carlo algorithm, which allow for the calculation of multi-dimensional integrals over arbitrary on-shell four-momentum phase space. The Metropolis technique…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hamid Kharraziha , Stefano Moretti

An ensemble of classical subsystems interacting with surrounding particles has been considered. In general case, a phase volume of the subsystems ensemble was shown to be a function of time. The evolutional equations of the ensemble are…

Statistical Mechanics · Physics 2015-06-24 S. R. Sharov

Skewness is often present in a wide range of spatial prediction problems, and modeling it in the spatial context remains a challenging problem. In this study a skew-Gaussian random field is considered. The skew-Gaussian random field is…

Methodology · Statistics 2014-02-06 Kjartan Rimstad , Henning Omre

Experimental calibration of dynamic thermal models is required for model predictive control and characterization of building energy performance. In these applications, the uncertainty assessment of the parameter estimates is decisive; this…

Applications · Statistics 2019-04-25 L. Raillon , Christian Ghiaus

This paper presents a new method for modelling periodic signals having an aperiodic trend, using the method of variable projection. It is a major extension to the IEEE-standard 1057 by permitting the background to be time varying;…

Signal Processing · Electrical Eng. & Systems 2023-11-21 Johannes Handler , Dimitar Ninevski , Paul O'Leary

We present a new method, "kairosis", for aggregating probability forecasts made over a time period of a single outcome determined at the end of that period. Informed by work on Bayesian change-point detection, we begin by constructing for…

Applications · Statistics 2025-03-31 Zane Hassoun , Ben Powell , Niall MacKay

In this work we are interested in stochastic particle methods for multi-objective optimization. The problem is formulated using parametrized, single-objective sub-problems which are solved simultaneously. To this end a consensus based…

Optimization and Control · Mathematics 2022-08-03 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

In order to numerically solve high-dimensional nonlinear PDEs and alleviate the curse of dimensionality, a stochastic particle method (SPM) has been proposed to capture the relevant feature of the solution through the adaptive evolution of…

Numerical Analysis · Mathematics 2026-03-16 Jingyang Huang , Zhengyang Lei , Sihong Shao

This paper addresses the problem of estimating the modes of an observed non-stationary mixture signal in the presence of an arbitrary distributed noise. A novel Bayesian model is introduced to estimate the model parameters from the…

Signal Processing · Electrical Eng. & Systems 2022-03-31 Quentin Legros , Dominique Fourer , Sylvain Meignen , Marcelo A. Colominas

In this paper a method of obtaining smooth analytical estimates of probability densities, radial distribution functions and potentials of mean force from sampled data in a statistically controlled fashion is presented. The approach is…

Statistical Mechanics · Physics 2011-02-08 Ramses van Zon , Jeremy Schofield

Extending the Kruppa's prescription for the continuum level density, we have recently improved the BCS method with seniority-type pairing force in such a way that the effects of discretized unbound states are properly taken into account for…

Nuclear Theory · Physics 2014-11-21 Toshiya Ono , Yoshifumi R. Shimizu , Naoki Tajima , Satoshi Takahara

Kamlah's second order method for approximate particle number projection is applied for the first time to variational calculations with effective forces. High spin states of normal and superdeformed nuclei have been calculated with the…

Nuclear Theory · Physics 2009-10-31 A. Valor , J. L. Egido , L. M. Robledo
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