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Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

数据结构与算法 · 计算机科学 2017-11-06 He Sun , Luca Zanetti

Monte Carlo (MC) sampling methods are widely applied in Bayesian inference, system simulation and optimization problems. The Markov Chain Monte Carlo (MCMC) algorithms are a well-known class of MC methods which generate a Markov chain with…

统计方法学 · 统计学 2024-06-21 Luca Martino , Victor Elvira

The Self-Learning Monte Carlo (SLMC) method is a Monte Carlo approach that has emerged in recent years by integrating concepts from machine learning with conventional Monte Carlo techniques. Designed to accelerate the numerical study of…

强关联电子 · 物理学 2025-07-18 Gaopei Pan , Chuang Chen , Zi Yang Meng

We propose a new Markov chain Monte Carlo method in which trial configurations are generated by evolving a state, sampled from a prior distribution, using a Markov transition matrix. We present two prototypical algorithms and derive their…

统计力学 · 物理学 2023-01-09 Joel Mabillard , Isha Malhotra , Bortolo Matteo Mognetti

Geometric methods proposed by Stallings for treating finitely generated subgroups of free groups were successfully used to solve a wide collection of decision problems for free groups and their subgroups. It turns out that Stallings'…

群论 · 数学 2007-07-02 L. Markus-Epstein

It is shown that a class of separately frustration-free (SFF) Hamiltonians can be Monte Carlo simulated efficiently on a classical computing machine, because such an SFF Hamiltonian corresponds to a Gibbs wavefunction whose nodal structure…

综合物理 · 物理学 2021-12-30 David H. Wei

A first-order, Monte Carlo ensemble method has been recently introduced for solving parabolic equations with random coefficients in [26], which is a natural synthesis of the ensemble-based, Monte Carlo sampling algorithm and the…

数值分析 · 数学 2018-02-19 Yan Luo , Zhu Wang

Automated algorithm selection for continuous black-box optimization depends on representing problem information under limited probing and selecting solvers under heavy-tailed performance distributions. This paper proposes a geometric…

机器学习 · 计算机科学 2026-05-22 Jiabao Brad Wang , Xiang Shi , Yiliang Yuan , Mustafa Misir

Recently there have been exciting developments in Monte Carlo methods, with the development of new MCMC and sequential Monte Carlo (SMC) algorithms which are based on continuous-time, rather than discrete-time, Markov processes. This has…

统计计算 · 统计学 2020-09-29 Paul Fearnhead , Joris Bierkens , Murray Pollock , Gareth O Roberts

While recent work towards the development of tight-binding and ab-initio algorithms has focused on molecular dynamics, Monte Carlo methods can often lead to better results with relatively little effort. We present here a multi-step Monte…

统计力学 · 物理学 2009-10-31 Parthapratim Biswas , G. T. Barkema , Normand Mousseau , W. F. van der Weg

In this paper we consider the problem of group invariant subspace clustering where the data is assumed to come from a union of group-invariant subspaces of a vector space, i.e. subspaces which are invariant with respect to action of a given…

信息论 · 计算机科学 2015-10-16 Shuchin Aeron , Eric Kernfeld

Distributed detection fusion with high-dimension conditionally dependent observations is known to be a challenging problem. When a fusion rule is fixed, this paper attempts to make progress on this problem for the large sensor networks by…

信息论 · 计算机科学 2016-05-03 Hang Rao , Xiaojing Shen , Yunmin Zhu , Jianxin Pan

In this paper, a new reduction based interpolation algorithm for black-box multivariate polynomials over finite fields is given. The method is based on two main ingredients. A new Monte Carlo method is given to reduce black-box multivariate…

符号计算 · 计算机科学 2018-07-18 Qiao-Long Huang , Xiao-Shan Gao

Among Monte Carlo techniques, the importance sampling requires fine tuning of a proposal distribution, which is now fluently resolved through iterative schemes. The Adaptive Multiple Importance Sampling (AMIS) of Cornuet et al. (2012)…

统计计算 · 统计学 2014-05-27 Jean-Michel Marin , Pierre Pudlo , Mohammed Sedki

Sequential Monte Carlo (SMC) methods are a widely used set of computational tools for inference in non-linear non-Gaussian state-space models. We propose a new SMC algorithm to compute the expectation of additive functionals recursively.…

统计方法学 · 统计学 2010-12-27 Pierre Del Moral , Arnaud Doucet , Sumeetpal Singh

A major challenge facing existing sequential Monte-Carlo methods for parameter estimation in physics stems from the inability of existing approaches to robustly deal with experiments that have different mechanisms that yield the results…

量子物理 · 物理学 2017-09-13 Christopher Granade , Nathan Wiebe

We present an efficient and exact Monte Carlo algorithm to simulate reversible aggregation of particles with dedicated binding sites. This method introduces a novel data structure of dynamic bond tree to record clusters and sequences of…

定量方法 · 定量生物学 2011-09-27 Qiang Chang , Jin Yang

Much current research in AI and games is being devoted to Monte Carlo search (MCS) algorithms. While the quest for a single unified MCS algorithm that would perform well on all problems is of major interest for AI, practitioners often know…

人工智能 · 计算机科学 2015-03-20 Francis Maes , David Lupien St-Pierre , Damien Ernst

Bayesian methods and their implementations by means of sophisticated Monte Carlo techniques, such as Markov chain Monte Carlo (MCMC) and particle filters, have become very popular in signal processing over the last years. However, in many…

统计计算 · 统计学 2012-05-29 Luca Martino , Joaquin Miguez

Graph clustering is widely used in many data analysis applications. In this paper we propose several parallel graph clustering algorithms based on Monte Carlo simulations and expectation maximization in the context of stochastic block…

数据结构与算法 · 计算机科学 2016-09-05 Frederic Prost , Jisang Yoon