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Stochastic differential equations (SDEs) are an important class of time-series models, used to describe stochastic systems evolving in continuous time. Simulating paths from these processes, particularly after conditioning on noisy…

Computation · Statistics 2026-02-03 Xinyi Pei , Minhyeok Kim , Vinayak Rao

Stochastic gradient Markov chain Monte Carlo (SGMCMC) is a popular class of algorithms for scalable Bayesian inference. However, these algorithms include hyperparameters such as step size or batch size that influence the accuracy of…

Computation · Statistics 2021-11-19 Jeremie Coullon , Leah South , Christopher Nemeth

In practical applications of regression analysis, it is not uncommon to encounter a multitude of values for each attribute. In such a situation, the univariate distribution, which is typically Gaussian, is suboptimal because the mean may be…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Krzysztof Byrski , Jacek Tabor , Przemysław Spurek , Marcin Mazur

This paper proposes a way to combine the Mesh Adaptive Direct Search (MADS) algorithm with the Cross-Entropy (CE) method for non smooth constrained optimization. The CE method is used as a Search step by the MADS algorithm. The result of…

Optimization and Control · Mathematics 2023-08-15 Charles Audet , Romain Couderc , Jean Bigeon

In evolutionary optimization, it is important to understand how fast evolutionary algorithms converge to the optimum per generation, or their convergence rate. This paper proposes a new measure of the convergence rate, called average…

Neural and Evolutionary Computing · Computer Science 2019-11-11 Jun He , Guangming Lin

Domain generalization aims to learn a predictive model from multiple different but related source tasks that can generalize well to a target task without the need of accessing any target data. Existing domain generalization methods ignore…

Machine Learning · Computer Science 2022-06-08 William Wei Wang , Gezheng Xu , Ruizhi Pu , Jiaqi Li , Fan Zhou , Changjian Shui , Charles Ling , Christian Gagné , Boyu Wang

Genetic algorithm (GA) belongs to a class of nature-inspired evolutionary algorithms that leverage concepts from natural selection to perform optimization tasks. In cosmology, the standard method for estimating parameters is the Markov…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-15 Reginald Christian Bernardo , Yun Chen

Domain generalization (DG) seeks to develop models that generalize well to unseen target domains, addressing the prevalent issue of distribution shifts in real-world applications. One line of research in DG focuses on aligning domain-level…

Machine Learning · Computer Science 2025-06-10 Yuen Chen , Haozhe Si , Guojun Zhang , Han Zhao

Statistical inference in evolutionary models with site-dependence is a long-standing challenge in phylogenetics and computational biology. We consider the problem of approximating marginal sequence likelihoods under dependent-site models of…

Computation · Statistics 2025-11-12 Joseph Mathews , Scott C. Schmidler

Evolutionary Computation (EC) has emerged as a powerful field of Artificial Intelligence, inspired by nature's mechanisms of gradual development. However, EC approaches often face challenges such as stagnation, diversity loss, computational…

Neural and Evolutionary Computing · Computer Science 2024-02-15 Abdennour Boulesnane

Domain Generalized Semantic Segmentation (DGSS) seeks to utilize source domain data exclusively to enhance the generalization of semantic segmentation across unknown target domains. Prevailing studies predominantly concentrate on feature…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Hongwei Niu , Linhuang Xie , Jianghang Lin , Shengchuan Zhang

We propose a sequential Markov chain Monte Carlo (SMCMC) algorithm to sample from a sequence of probability distributions, corresponding to posterior distributions at different times in on-line applications. SMCMC proceeds as in usual MCMC…

Statistics Theory · Mathematics 2013-08-20 Yun Yang , David B. Dunson

In several implementations of Sequential Monte Carlo (SMC) methods it is natural, and important in terms of algorithmic efficiency, to exploit the information of the history of the samples to optimally tune their subsequent propagations. In…

Computation · Statistics 2014-02-07 Alexandros Beskos , Ajay Jasra , Nikolas Kantas , Alexandre Thiery

The development of external evaluation criteria for soft clustering (SC) has received limited attention: existing methods do not provide a general approach to extend comparison measures to SC, and are unable to account for the uncertainty…

Machine Learning · Computer Science 2022-06-22 Andrea Campagner , Davide Ciucci , Thierry Denœux

Stochastic approximation Monte Carlo (SAMC) has recently been proposed by Liang, Liu and Carroll [J. Amer. Statist. Assoc. 102 (2007) 305--320] as a general simulation and optimization algorithm. In this paper, we propose to improve its…

Statistics Theory · Mathematics 2009-08-26 Faming Liang

Model comparison for the purposes of selection, averaging and validation is a problem found throughout statistics. Within the Bayesian paradigm, these problems all require the calculation of the posterior probabilities of models within a…

Methodology · Statistics 2015-06-08 Yan Zhou , Adam M Johansen , John A D Aston

Slice Sampling has emerged as a powerful Markov Chain Monte Carlo algorithm that adapts to the characteristics of the target distribution with minimal hand-tuning. However, Slice Sampling's performance is highly sensitive to the…

Machine Learning · Statistics 2021-10-05 Minas Karamanis , Florian Beutler

We consider parallel asynchronous Markov Chain Monte Carlo (MCMC) sampling for problems where we can leverage (stochastic) gradients to define continuous dynamics which explore the target distribution. We outline a solution strategy for…

Machine Learning · Statistics 2016-12-09 Jost Tobias Springenberg , Aaron Klein , Stefan Falkner , Frank Hutter

Stochastic gradient Markov Chain Monte Carlo (SG-MCMC) has been developed as a flexible family of scalable Bayesian sampling algorithms. However, there has been little theoretical analysis of the impact of minibatch size to the algorithm's…

Machine Learning · Statistics 2017-09-06 Changyou Chen , Wenlin Wang , Yizhe Zhang , Qinliang Su , Lawrence Carin

Technology mapping is an essential step in EDA flow. However, the function of the circuit may be changed after technology mapping, and equivalence checking (EC) based verification is highly necessary. The traditional EC method has…

Hardware Architecture · Computer Science 2023-12-25 Liwei Ni , Zonglin Yang , Jiaxi Zhang , Changhong Feng , Jianhua Liu , Guojie Luo , Huawei Li , Biwei Xie , Xingquan Li