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We present a novel technique for tailoring Bayesian quadrature (BQ) to model selection. The state-of-the-art for comparing the evidence of multiple models relies on Monte Carlo methods, which converge slowly and are unreliable for…

Machine Learning · Computer Science 2019-03-04 Henry Chai , Jean-Francois Ton , Roman Garnett , Michael A. Osborne

We present a novel quasi-Monte Carlo mechanism to improve graph-based sampling, coined repelling random walks. By inducing correlations between the trajectories of an interacting ensemble such that their marginal transition probabilities…

Machine Learning · Statistics 2024-05-27 Isaac Reid , Eli Berger , Krzysztof Choromanski , Adrian Weller

We study the improvement of Kennedy-Kuti's linear accept/reject algorithm with different ordering criterion and modified Bhanot-Kennedy estimator of $e^{\Delta H}$ to reduce probability-bound violation. A new stochastic Monte Carlo…

High Energy Physics - Lattice · Physics 2009-10-31 L. Lin , K. F. Liu , J. Sloan

We propose a general scheme to create time sequences that fulfill given constraints but are random otherwise. Significance levels for nonlinearity tests are as usually obtained by Monte Carlo resampling. In a new scheme, constraints…

chao-dyn · Physics 2007-05-23 Thomas Schreiber , Andreas Schmitz

The steadily increasing size of scientific Monte Carlo simulations and the desire for robust, correct, and reproducible results necessitates rigorous testing procedures for scientific simulations in order to detect numerical problems and…

Computational Physics · Physics 2018-01-08 Markus Wallerberger , Emanuel Gull

Failure probability evaluation for complex physical and engineering systems governed by partial differential equations (PDEs) are computationally intensive, especially when high-dimensional random parameters are involved. Since standard…

Numerical Analysis · Mathematics 2019-08-06 Ke Li , Kejun Tang , Jinglai Li , Tianfan Wu , Qifeng Liao

We propose a variant of Hamiltonian Monte Carlo (HMC), called the Repelling-Attracting Hamiltonian Monte Carlo (RAHMC), for sampling from multimodal distributions. The key idea that underpins RAHMC is a departure from the conservative…

Statistics Theory · Mathematics 2024-03-08 Siddharth Vishwanath , Hyungsuk Tak

The aim of this paper is to describe a new an integrated methodology for project control under uncertainty. This proposal is based on Earned Value Methodology and risk analysis and presents several refinements to previous methodologies.…

Risk Management · Quantitative Finance 2024-06-06 Fernando Acebes , M Pereda , David Poza , Javier Pajares , Jose M Galan

Continuous level Monte Carlo is an unbiased, continuous version of the celebrated multilevel Monte Carlo method. The approximation level is assumed to be continuous resulting in a stochastic process describing the quantity of interest.…

Numerical Analysis · Mathematics 2024-02-19 Cedric Aaron Beschle , Andrea Barth

This paper concerns the use of Markov chain Monte Carlo methods for posterior sampling in Bayesian nonparametric mixture models with normalized random measure priors. Making use of some recent posterior characterizations for the class of…

Methodology · Statistics 2013-10-03 Stefano Favaro , Yee Whye Teh

This paper provides a convergence analysis for generalized Hamiltonian Monte Carlo samplers, a family of Markov Chain Monte Carlo methods based on leapfrog integration of Hamiltonian dynamics and kinetic Langevin diffusion, that encompasses…

Probability · Mathematics 2024-05-14 Evan Camrud , Alain Durmus , Pierre Monmarché , Gabriel Stoltz

We present the preliminary tests on two modifications of the Hybrid Monte Carlo (HMC) algorithm. Both algorithms are designed to travel much farther in the Hamiltonian phase space for each trajectory and reduce the autocorrelations among…

High Energy Physics - Lattice · Physics 2018-04-18 Guido Cossu , Peter Boyle , Norman Christ , Chulwoo Jung , Andreas Jüttner , Francesco Sanfilippo

A Monte Carlo event generator has been developed assuming thermal production of hadrons. The system under consideration is sampled grand canonically in the Boltzmann approximation. A re-weighting scheme is then introduced to account for…

Nuclear Theory · Physics 2009-12-14 M. Hauer , S. Wheaton

A method for generating random $U(1)$ variables with Boltzmann distribution is presented. It is based on the rejection method with transformation of variables. High efficiency is achieved for all range of temparatures or coupling…

High Energy Physics - Lattice · Physics 2009-10-22 Tetsuya Hattori , Hideo Nakajima

We analyze theoretical properties of the hybrid test for superior predictability. We demonstrate with a simple example that the test may not be pointwise asymptotically of level $\alpha$ at commonly used significance levels and may lead to…

Econometrics · Economics 2021-09-13 Deborah Kim

A number of problems in a variety of fields are characterised by target distributions with a multimodal structure in which the presence of several isolated local maxima dramatically reduces the efficiency of Markov Chain Monte Carlo…

Methodology · Statistics 2009-07-31 Miquel Trias , Alberto Vecchio , John Veitch

Monte Carlo simulations are one of the major tools in statistical physics, complex system science, and other fields, and an increasing number of these simulations is run on distributed systems like clusters or grids. This raises the issue…

Other Condensed Matter · Physics 2007-07-03 Heiko Bauke , Stephan Mertens

In the nano era in integrated circuit fabrication technologies, the performance variability due to statistical process and circuit parameter variations is becoming more and more significant. Considerable effort has been expended in the EDA…

Other Computer Science · Computer Science 2009-09-29 Alp Arslan Bayrakci , Alper Demir , Serdar Tasiran

We develop a recently proposed importance-sampling Monte Carlo algorithm for sampling rare events and quenched variables in random disordered systems. We apply it to a two dimensional bond-diluted Ising model and study the Griffiths…

Disordered Systems and Neural Networks · Physics 2009-11-13 Koji Hukushima , Yukito Iba

Computing the marginal likelihood or evidence is one of the core challenges in Bayesian analysis. While there are many established methods for estimating this quantity, they predominantly rely on using a large number of posterior samples…

Computation · Statistics 2021-02-26 Eric Chuu , Debdeep Pati , Anirban Bhattacharya
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