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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

Adaptive importance sampling (AIS) algorithms are widely used to approximate expectations with respect to complicated target probability distributions. When the target has heavy tails, existing AIS algorithms can provide inconsistent…

Computation · Statistics 2023-10-26 Thomas Guilmeau , Nicola Branchini , Emilie Chouzenoux , Víctor Elvira

Annealed Sequential Monte Carlo (ASMC) samplers are special cases of SMC samplers where the sequence of distributions can be embedded in a smooth path of distributions. Using this underlying path and a performance model based on the…

Computation · Statistics 2025-12-03 Saifuddin Syed , Alexandre Bouchard-Côté , Kevin Chern , Arnaud Doucet

This research concerns design optimization problems involving numerous design parameters and large computational models. These problems generally consist in non-convex constrained optimization problems in large and sometimes complex search…

Optimization and Control · Mathematics 2024-12-20 A. Batou

Markov chain Monte Carlo algorithms have important applications in counting problems and in machine learning problems, settings that involve estimating quantities that are difficult to compute exactly. How much can quantum computers speed…

Quantum Physics · Physics 2020-02-10 Aram W. Harrow , Annie Y. Wei

We empirically evaluate a stochastic annealing strategy for Bayesian posterior optimization with variational inference. Variational inference is a deterministic approach to approximate posterior inference in Bayesian models in which a…

Machine Learning · Statistics 2015-05-26 San Gultekin , Aonan Zhang , John Paisley

Task scheduling problem in heterogeneous systems is the process of allocating tasks of an application to heterogeneous processors interconnected by high-speed networks, so that minimizing the finishing time of application as much as…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-14 Masoomeh sanei , Nasrollah Moghaddam Charkari

This paper studies the application of the simulated annealing metaheuristic on the identical parallel machine scheduling problem, a variant of the broader optimal job scheduling problem. In the identical parallel machine scheduling problem,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-17 Jiaxing Li , David Perkins

In this paper we address the problem of performing Bayesian inference for the parameters of a nonlinear multi-output model and the covariance matrix of the different output signals. We propose an adaptive importance sampling (AIS) scheme…

Computation · Statistics 2025-01-03 E. Curbelo , L. Martino , F. Llorente , D. Delgado-Gomez

Quantum Annealing, or Quantum Stochastic Optimization, is a classical randomized algorithm which provides good heuristics for the solution of hard optimization problems. The algorithm, suggested by the behaviour of quantum systems, is an…

Quantum Physics · Physics 2011-07-06 Diego de Falco , Dario Tamascelli

We consider estimating the marginal likelihood in settings with independent and identically distributed (i.i.d.) data. We propose estimating the predictive distributions in a sequential factorization of the marginal likelihood in such…

Machine Learning · Statistics 2019-11-19 Scott A. Cameron , Hans C. Eggers , Steve Kroon

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 present an analog version of the quantum approximate optimization algorithm suitable for current quantum annealers. The central idea of this algorithm is to optimize the schedule function, which defines the adiabatic evolution. It is…

Quantum annealing is a heuristic algorithm for searching the ground state of an Ising model. Heuristic algorithms aim to obtain near-optimal solutions with a reasonable computation time. Accordingly, many algorithms have so far been…

Quantum Physics · Physics 2022-11-09 Shuntaro Okada , Masayuki Ohzeki

Eigenstate preparation is ubiquitous in quantum computing, and a standard approach for generating the lowest-energy states of a given system is by employing adiabatic state preparation (ASP). In the present work, we investigate a…

Quantum Physics · Physics 2021-08-30 Shunji Matsuura , Samantha Buck , Valentin Senicourt , Arman Zaribafiyan

Adaptive importance sampling (AIS) uses past samples to update the \textit{sampling policy} $q_t$ at each stage $t$. Each stage $t$ is formed with two steps : (i) to explore the space with $n_t$ points according to $q_t$ and (ii) to exploit…

Statistics Theory · Mathematics 2018-10-04 Bernard Delyon , François Portier

Stochastic sampling algorithms, while an attractive alternative to exact algorithms in very large Bayesian network models, have been observed to perform poorly in evidential reasoning with extremely unlikely evidence. To address this…

Artificial Intelligence · Computer Science 2011-06-02 J. Cheng , M. J. Druzdzel

Model fitting is possibly the most extended problem in science. Classical approaches include the use of least-squares fitting procedures and maximum likelihood methods to estimate the value of the parameters in the model. However, in recent…

Instrumentation and Methods for Astrophysics · Physics 2022-04-12 J. Lopez-Santiago , L. Martino , J. Miguez , M. A. Vazquez

Gaussian Process Latent Variable Models (GPLVMs) have become increasingly popular for unsupervised tasks such as dimensionality reduction and missing data recovery due to their flexibility and non-linear nature. An importance-weighted…

Machine Learning · Computer Science 2026-03-10 Jian Xu , Shian Du , Junmei Yang , Qianli Ma , Delu Zeng , John Paisley

Importance Sampling (IS) is a widely used variance reduction technique for enhancing the efficiency of Monte Carlo methods, particularly in rare-event simulation and related applications. Despite its effectiveness, the performance of IS is…

Optimization and Control · Mathematics 2026-02-11 Liviu Aolaritei , Bart P. G. Van Parys , Henry Lam , Michael I. Jordan