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In Part I (arXiv:1911.00619) of this article, we proposed an importance sampling algorithm to compute rare-event probabilities in forward uncertainty quantification problems. The algorithm, which we termed the "Bayesian Inverse Monte Carlo…

Computation · Statistics 2019-11-06 Siddhant Wahal , George Biros

Sample efficiency is a fundamental challenge in de novo molecular design. Ideally, molecular generative models should learn to satisfy a desired objective under minimal oracle evaluations (computational prediction or wet-lab experiment).…

Biomolecules · Quantitative Biology 2023-05-26 Jeff Guo , Philippe Schwaller

In this paper we enhance Generalized Self-Adapting Particle Swarm Optimization algorithm (GAPSO), initially introduced at the Parallel Problem Solving from Nature 2018 conference, and to investigate its properties. The research on GAPSO is…

Neural and Evolutionary Computing · Computer Science 2020-03-02 Michał Okulewicz , Mateusz Zaborski , Jacek Mańdziuk

Data augmentation is an effective technique to improve the generalization of deep neural networks. However, previous data augmentation methods usually treat the augmented samples equally without considering their individual impacts on the…

Machine Learning · Computer Science 2021-03-17 Mingyang Yi , Lu Hou , Lifeng Shang , Xin Jiang , Qun Liu , Zhi-Ming Ma

We propose an adaptive importance sampling scheme for Gaussian approximations of intractable posteriors. Optimization-based approximations like variational inference can be too inaccurate while existing Monte Carlo methods can be too slow.…

Computation · Statistics 2025-02-04 Willem van den Boom , Andrea Cremaschi , Alexandre H. Thiery

Population Monte Carlo (PMC) sampling methods are powerful tools for approximating distributions of static unknowns given a set of observations. These methods are iterative in nature: at each step they generate samples from a proposal…

Computation · Statistics 2022-01-17 Víctor Elvira , Luca Martino , David Luengo , Mónica F. Bugallo

The covariance matrix adaptation evolution strategy (CMA-ES) is a powerful optimization method for continuous black-box optimization problems. Several noise-handling methods have been proposed to bring out the optimization performance of…

Neural and Evolutionary Computing · Computer Science 2024-05-21 Kento Uchida , Kenta Nishihara , Shinichi Shirakawa

We consider the problem of estimating rare event probabilities, focusing on systems whose evolution is governed by differential equations with uncertain input parameters. If the system dynamics is expensive to compute, standard sampling…

Computation · Statistics 2019-11-05 Siddhant Wahal , George Biros

Design optimization under uncertainty is notoriously difficult when the objective function is expensive to evaluate. State-of-the-art techniques, e.g, stochastic optimization or sampling average approximation, fail to learn exploitable…

Optimization and Control · Mathematics 2019-06-20 Piyush Pandita , Ilias Bilionis , Jitesh Panchal

Multiple importance sampling (MIS) is an indispensable tool in rendering that constructs robust sampling strategies by combining the respective strengths of individual distributions. Its efficiency can be greatly improved by carefully…

Graphics · Computer Science 2024-10-29 Joshua Meyer , Alexander Rath , Ömercan Yazici , Philipp Slusallek

Implicit Neural representations (INRs) are widely used for scientific data reduction and visualization by modeling the function that maps a spatial location to a data value. Without any prior knowledge about the spatial distribution of…

Graphics · Computer Science 2024-02-22 Haoyu Li , Han-Wei Shen

The efficient importance sampling (EIS) method is a general principle for the numerical evaluation of high-dimensional integrals that uses the sequential structure of target integrands to build variance minimising importance samplers.…

Computation · Statistics 2013-09-27 Marcel Scharth , Robert Kohn

In Goal-oriented Reinforcement learning, relabeling the raw goals in past experience to provide agents with hindsight ability is a major solution to the reward sparsity problem. In this paper, to enhance the diversity of relabeled goals, we…

Artificial Intelligence · Computer Science 2021-05-14 Menghui Zhu , Minghuan Liu , Jian Shen , Zhicheng Zhang , Sheng Chen , Weinan Zhang , Deheng Ye , Yong Yu , Qiang Fu , Wei Yang

Modern computational models in supervised machine learning are often highly parameterized universal approximators. As such, the value of the parameters is unimportant, and only the out of sample performance is considered. On the other hand…

Computation · Statistics 2021-11-04 Matthew Dixon , Tyler Ward

Importance sampling (IS) is an efficient stand-in for model refitting in performing (LOO) cross-validation (CV) on a Bayesian model. IS inverts the Bayesian update for a single observation by reweighting posterior samples. The so-called…

Methodology · Statistics 2026-03-26 Joshua C Chang , Xiangting Li , Tianyi Su , Shixin Xu , Hao-Ren Yao , Julia Porcino , Carson Chow

This work provides an efficient sampling method for the covariance matrix adaptation evolution strategy (CMA-ES) in large-scale settings. In contract to the Gaussian sampling in CMA-ES, the proposed method generates mutation vectors from a…

Neural and Evolutionary Computing · Computer Science 2022-03-25 Xiaoyu He , Zibin Zheng , Yuren Zhou

Despite all the benefits of automated hyperparameter optimization (HPO), most modern HPO algorithms are black-boxes themselves. This makes it difficult to understand the decision process which leads to the selected configuration, reduces…

Machine Learning · Computer Science 2023-02-14 Julia Moosbauer , Giuseppe Casalicchio , Marius Lindauer , Bernd Bischl

This paper focuses on the study of an original combination of the Multilevel Monte Carlo method introduced by Giles [10] and the popular importance sampling technique. To compute the optimal choice of the parameter involved in the…

Probability · Mathematics 2017-09-05 Mohamed Ben Alaya , Kaouther Hajji , Ahmed Kebaier

Importance sampling (IS) is a powerful Monte Carlo (MC) technique for approximating intractable integrals, for instance in Bayesian inference. The performance of IS relies heavily on the appropriate choice of the so-called proposal…

Computation · Statistics 2024-12-30 Ali Mousavi , Víctor Elvira

Global optimization of black-box functions from noisy samples is a fundamental challenge in machine learning and scientific computing. Traditional methods such as Bayesian Optimization often converge to local minima on multi-modal…

Machine Learning · Computer Science 2026-04-07 Qusay Muzaffar , David Levin , Michael Werman
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