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This paper introduces a non-parametric estimation algorithm designed to effectively estimate the joint distribution of model parameters with application to population pharmacokinetics. Our research group has previously developed the…

This paper develops a new global optimisation method that applies to a family of criteria that are not entirely known. This family includes the criteria obtained from the class of posteriors that have nor-malising constants that are…

Statistics Theory · Mathematics 2019-07-16 R. Stoica , Madalina Deaconu , Anne Philippe , Lluis Hurtado

Simulated annealing (SA) is a stochastic global optimisation technique applicable to a wide range of discrete and continuous variable problems. Despite its simplicity, the development of an effective SA optimiser for a given problem hinges…

Machine Learning · Computer Science 2024-06-27 Alvaro H. C. Correia , Daniel E. Worrall , Roberto Bondesan

Adaptive simulated annealing (ASA) is a global optimization algorithm based on an associated proof that the parameter space can be sampled much more efficiently than by using other previous simulated annealing algorithms. The author's ASA…

Mathematical Software · Computer Science 2007-05-23 Lester Ingber

In this paper, we present a two phase method for solving nonlinear programming problems called Nonlinear Polyhedral Active Set Algorithm (NPASA) that has global and local convergence guarantees under reasonable assumptions. The first phase…

Optimization and Control · Mathematics 2021-07-16 James Diffenderfer , William W. Hager

We present the parallel and interacting stochastic approximation annealing (PISAA) algorithm, a stochastic simulation procedure for global optimisation, that extends and improves the stochastic approximation annealing (SAA) by using…

Computation · Statistics 2015-08-21 Georgios Karagiannis , Bledar A. Konomi , Guang Lin , Faming Liang

We introduce a new multimodal optimization approach called Natural Variational Annealing (NVA) that combines the strengths of three foundational concepts to simultaneously search for multiple global and local modes of black-box nonconvex…

Machine Learning · Statistics 2025-12-18 Tâm LeMinh , Julyan Arbel , Thomas Möllenhoff , Mohammad Emtiyaz Khan , Florence Forbes

In this work we propose a highly optimized version of a simulated annealing (SA) algorithm adapted to the more recently developed Graphic Processor Units (GPUs). The programming has been carried out with CUDA toolkit, specially designed for…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-02 A. M. Ferreiro , J. A. García , J. G. López-Salas , C. Vázquez

The paper considers a distributed algorithm for global minimization of a nonconvex function. The algorithm is a first-order consensus + innovations type algorithm that incorporates decaying additive Gaussian noise for annealing, converging…

Optimization and Control · Mathematics 2019-07-23 Brian Swenson , Soummya Kar , H. Vincent Poor , José M. F. Moura

Simulated annealing (SA) was inspired from annealing in metallurgy, a technique involving heating and controlled cooling of a material to increase the size of its crystals and reduce their defects, both are attributes of the material that…

Optimization and Control · Mathematics 2014-01-21 Jiapu Zhang

Many important challenges in science and technology can be cast as optimization problems. When viewed in a statistical physics framework, these can be tackled by simulated annealing, where a gradual cooling procedure helps search for…

Disordered Systems and Neural Networks · Physics 2024-01-17 Mohamed Hibat-Allah , Estelle M. Inack , Roeland Wiersema , Roger G. Melko , Juan Carrasquilla

Combinatorial optimization problems can be solved by heuristic algorithms such as simulated annealing (SA) which aims to find the optimal solution within a large search space through thermal fluctuations. The algorithm generates new…

Disordered Systems and Neural Networks · Physics 2023-10-30 Shoummo Ahsan Khandoker , Jawaril Munshad Abedin , Mohamed Hibat-Allah

We propose a new modularity optimization method, Mod-CSA, based on stochastic global optimization algorithm, conformational space annealing (CSA). Our method outperforms simulated annealing in terms of both efficiency and accuracy, finding…

Computational Physics · Physics 2012-04-26 Juyong Lee , Steven P. Gross , Jooyoung Lee

We introduce the Stochastic Asynchronous Proximal Alternating Linearized Minimization (SAPALM) method, a block coordinate stochastic proximal-gradient method for solving nonconvex, nonsmooth optimization problems. SAPALM is the first…

Optimization and Control · Mathematics 2016-06-09 Damek Davis , Brent Edmunds , Madeleine Udell

The recent advancement of foundation models (FMs) has brought about a paradigm shift, revolutionizing various sectors worldwide. The popular optimizers used to train these models are stochastic gradient descent-based algorithms, which face…

Machine Learning · Computer Science 2026-01-06 Shenglong Zhou , Ouya Wang , Ziyan Luo , Yongxu Zhu , Geoffrey Ye Li

Pipeline Parallelism (PP) enables large neural network training on small, interconnected devices by splitting the model into multiple stages. To maximize pipeline utilization, asynchronous optimization is appealing as it offers 100%…

Machine Learning · Computer Science 2025-05-05 Thalaiyasingam Ajanthan , Sameera Ramasinghe , Yan Zuo , Gil Avraham , Alexander Long

Bayesian optimization is an effective methodology for the global optimization of functions with expensive evaluations. It relies on querying a distribution over functions defined by a relatively cheap surrogate model. An accurate model for…

This work focuses on a class of general decentralized constraint-coupled optimization problems. We propose a novel nested primal-dual gradient algorithm (NPGA), which can achieve linear convergence under the weakest known condition, and its…

Optimization and Control · Mathematics 2025-05-06 Jingwang Li , Housheng Su

We introduce SPRING, a novel stochastic proximal alternating linearized minimization algorithm for solving a class of non-smooth and non-convex optimization problems. Large-scale imaging problems are becoming increasingly prevalent due to…

Optimization and Control · Mathematics 2021-01-20 Derek Driggs , Junqi Tang , Jingwei Liang , Mike Davies , Carola-Bibiane Schönlieb

Simultaneous perturbation stochastic approximation (SPSA) is an approach to gradient-free optimization introduced by Spall as a simplification of the approach of Kiefer and Wolfowitz. In many cases the most attractive option is the…

Optimization and Control · Mathematics 2025-09-05 Caio Kalil Lauand , Sean Meyn
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