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For random-walk Metropolis (RWM) and parallel tempering (PT) algorithms, an asymptotic acceptance rate of around 0.234 is known to be optimal in certain high-dimensional limits. However, its practical relevance is uncertain due to…

统计计算 · 统计学 2025-08-05 Aidan Li , Liyan Wang , Tianye Dou , Jeffrey S. Rosenthal

Metastability is a formidable challenge to Markov chain Monte Carlo methods. In this paper we present methods for algorithm design to meet this challenge. The design problem we consider is temperature selection for the infinite swapping…

概率论 · 数学 2020-11-12 Paul Dupuis , Guo-Jhen Wu

Parallel tempering is a generic Markov chain Monte Carlo sampling method which allows good mixing with multimodal target distributions, where conventional Metropolis-Hastings algorithms often fail. The mixing properties of the sampler…

统计计算 · 统计学 2012-05-08 Blazej Miasojedow , Eric Moulines , Matti Vihola

Emerging analog resistive random access memory (RRAM) based on HfOx is an attractive device for non-von Neumann neuromorphic computing systems. The differences in temperature dependent conductance drift among cells hamper computing…

新兴技术 · 计算机科学 2021-11-17 Heng Xu , Yue Sun , Yangyang Zhu , Xiaohu Wang , Guoxuan Qin

We introduce an algorithm to systematically improve the efficiency of parallel tempering Monte Carlo simulations by optimizing the simulated temperature set. Our approach is closely related to a recently introduced adaptive algorithm that…

其他凝聚态物理 · 物理学 2007-05-23 Helmut G. Katzgraber , Simon Trebst , David A. Huse , Matthias Troyer

MCMC algorithms such as Metropolis-Hastings algorithms are slowed down by the computation of complex target distributions as exemplified by huge datasets. We offer in this paper a useful generalisation of the Delayed Acceptance approach,…

统计计算 · 统计学 2015-03-06 Marco Banterle , Clara Grazian , Anthony Lee , Christian P. Robert

This article develops a general-purpose adaptive sampler that approximates the target density by a mixture of multivariate t densities. The adaptive sampler is based on reversible proposal distributions each of which has the mixture of…

统计方法学 · 统计学 2013-08-22 Minh-Ngoc Tran , Michael K. Pitt , Robert Kohn

A Bayesian estimation of a GARCH model is performed for US Dollar/Japanese Yen exchange rate by the Metropolis-Hastings algorithm with a proposal density given by the adaptive construction scheme. In the adaptive construction scheme the…

统计金融 · 定量金融 2013-04-23 Tetsuya Takaishi

While gradient-based discrete samplers are effective in sampling from complex distributions, they are susceptible to getting trapped in local minima, particularly in high-dimensional, multimodal discrete distributions, owing to the…

机器学习 · 统计学 2025-05-21 Luxu Liang , Yuhang Jia , Feng Zhou

This paper presents new dynamic topology adaptation strategies for distributed estimation in smart grids systems. We propose a dynamic exhaustive search--based topology adaptation algorithm and a dynamic sparsity--inspired topology…

信息论 · 计算机科学 2014-01-16 S. Xu , R. C. de Lamare , H. V. Poor

A shell and tube heat exchanger design with respect to the total heat transfer rate and temperature profile has been invstigated by numerical modelling. The HE comprises of a single tube and has been resolved by the two equation models…

综合物理 · 物理学 2023-11-14 Hrutuj Raut

Variability in multiple independent input parameters makes it difficult to estimate the resultant variability in the system's overall response. The Propagation of Errors and Monte-Carlo techniques are two major methods to predict the…

其他凝聚态物理 · 物理学 2026-04-28 Seungju Yeoa , Paul Funkenbuscha , Hesam Askari

Stochastic nonlinear dynamical systems can undergo rapid transitions relative to the change in their forcing, for example due to the occurrence of multiple equilibrium solutions for a specific interval of parameters. In this paper, we…

数据分析、统计与概率 · 物理学 2020-11-12 S. Baars , D. Castellana , F. W. Wubs , H. A. Dijkstra

There has been considerable interest in designing Markov chain Monte Carlo algorithms by exploiting numerical methods for Langevin dynamics, which includes Hamiltonian dynamics as a deterministic case. A prominent approach is Hamiltonian…

统计计算 · 统计学 2021-06-08 Zexi Song , Zhiqiang Tan

In this paper, a dynamic (i.e. multi-year) hybrid model is presented for Transmission Expansion Planning (TEP) utilizing the High Voltage Alternating Current (HVAC) and multiterminal Voltage Sourced Converter (VSC)-based High Voltage Direct…

系统与控制 · 电气工程与系统科学 2023-10-10 Mojtaba Moradi-Sepahvand , Turaj Amraee

Future energy projections and their inherent uncertainty play a key role in the design of photovoltaic-battery energy storage systems (PV-BESS) for household use. In this study, both stochastic and robust optimization techniques are…

Proposals for Metropolis-Hastings MCMC derived by discretizing Langevin diffusion or Hamiltonian dynamics are examples of stochastic autoregressive proposals that form a natural wider class of proposals with equivalent computability. We…

统计计算 · 统计学 2016-10-05 Richard A. Norton , Colin Fox

The transition to 4th generation district heating creates a growing need for scalable, automated design tools that accurately capture the spatial and temporal details of heating network operation. This paper presents an automated design…

计算工程、金融与科学 · 计算机科学 2024-01-30 Yannick Wack , Martin Sollich , Robbe Salenbien , Jan Diriken , Martine Baelmans , Maarten Blommaert

We propose a splitting Hamiltonian Monte Carlo (SHMC) algorithm, which can be computationally efficient when combined with the random mini-batch strategy. By splitting the potential energy into numerically nonstiff and stiff parts, one…

数值分析 · 数学 2022-06-23 Lei Li , Lin Liu , Yuzhou Peng

Modern problems in astronomical Bayesian inference require efficient methods for sampling from complex, high-dimensional, often multi-modal probability distributions. Most popular methods, such as Markov chain Monte Carlo sampling, perform…

天体物理仪器与方法 · 物理学 2016-03-16 Will Vousden , Will M. Farr , Ilya Mandel