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Deep neuroevolution, that is evolutionary policy search methods based on deep neural networks, have recently emerged as a competitor to deep reinforcement learning algorithms due to their better parallelization capabilities. However, these…

Machine Learning · Computer Science 2018-08-20 Aloïs Pourchot , Nicolas Perrin , Olivier Sigaud

Walk on stars (WoSt) has shown its power in being applied to Monte Carlo methods for solving partial differential equations, but the sampling techniques in WoSt are not satisfactory, leading to high variance. We propose a guiding-based…

Graphics · Computer Science 2025-05-02 Tianyu Huang , Jingwang Ling , Shuang Zhao , Feng Xu

This paper considers importance sampling for estimation of rare-event probabilities in a specific collection of Markovian jump processes used for e.g. modelling of credit risk. Previous attempts at designing importance sampling algorithms…

Probability · Mathematics 2021-12-02 Boualem Djehiche , Henrik Hult , Pierre Nyquist

In this comment on "Solving Statistical Mechanics Using Variational Autoregressive Networks" by Wu et al., we propose a subtle yet powerful modification of their approach. We show that the inherent sampling error of their method can be…

Statistical Mechanics · Physics 2019-03-27 Kim Nicoli , Pan Kessel , Nils Strodthoff , Wojciech Samek , Klaus-Robert Müller , Shinichi Nakajima

Sampling techniques are used in many fields, including design of experiments, image processing, and graphics. The techniques in each field are designed to meet the constraints specific to that field such as uniform coverage of the range of…

Machine Learning · Computer Science 2023-06-08 Chandrika Kamath

This paper describes a method for estimating the marginal likelihood or Bayes factors of Bayesian models using non-parametric importance sampling ("arrogance sampling"). This method can also be used to compute the normalizing constant of…

Computation · Statistics 2015-03-17 Benedict Escoto

We consider the problem of choosing the best of $n$ samples, out of a large random pool, when the sampling of each member is associated with a certain cost. The quality (worth) of the best sample clearly increases with $n$, but so do the…

Statistics Theory · Mathematics 2015-06-16 Joseph D. Skufca , Daniel ben-Avraham

We study the statistical properties of the sampled scale-free networks, deeply related to the proper identification of various real-world networks. We exploit three methods of sampling and investigate the topological properties such as…

Disordered Systems and Neural Networks · Physics 2009-11-24 Sang Hoon Lee , Pan-Jun Kim , Hawoong Jeong

This paper presents a novel algorithm solving the classic problem of generating a random sample of size s from population of size n with non-uniform probabilities. The sampling is done with replacement. The algorithm requires constant…

Data Structures and Algorithms · Computer Science 2016-11-03 Michał Startek

Achieving high efficiency in modern photorealistic rendering hinges on using Monte Carlo sampling distributions that closely approximate the illumination integral estimated for every pixel. Samples are typically generated from a set of…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Joey Litalien , Miloš Hašan , Fujun Luan , Krishna Mullia , Iliyan Georgiev

Nonprobability (convenience) samples are increasingly sought to reduce the estimation variance for one or more population variables of interest that are estimated using a randomized survey (reference) sample by increasing the effective…

We consider the problem of unconstrained minimization of a smooth objective function in $\R^n$ in a setting where only function evaluations are possible. While importance sampling is one of the most popular techniques used by machine…

Optimization and Control · Mathematics 2020-04-03 Adel Bibi , El Houcine Bergou , Ozan Sener , Bernard Ghanem , Peter Richtárik

The goal of this paper is to develop provably efficient importance sampling Monte Carlo methods for the estimation of rare events within the class of linear stochastic partial differential equations (SPDEs). We find that if a spectral gap…

Probability · Mathematics 2017-05-05 Michael Salins , Konstantinos Spiliopoulos

This note explores probabilistic sampling weighted by uncertainty in active learning. This method has been previously used and authors have tangentially remarked on its efficacy. The scheme has several benefits: (1) it is computationally…

Machine Learning · Computer Science 2019-09-12 Vinay Jethava

Digital constellations formed by hexagonal or other non-square two-dimensional lattices are often used in advanced digital communication systems. The integrals required to evaluate the symbol error rate (SER) of these constellations in the…

Information Theory · Computer Science 2019-02-20 Víctor Elvira , Ignacio Santamaría

Approximate inference in dynamic systems is the problem of estimating the state of the system given a sequence of actions and partial observations. High precision estimation is fundamental in many applications like diagnosis, natural…

Artificial Intelligence · Computer Science 2012-06-18 Hannaneh Hajishirzi , Eyal Amir

Bayesian inference under a set of priors, called robust Bayesian analysis, allows for estimation of parameters within a model and quantification of epistemic uncertainty in quantities of interest by bounded (or imprecise) probability.…

Computation · Statistics 2022-07-15 Ivette Raices Cruz , Johan Lindström , Matthias C. M. Troffaes , Ullrika Sahlin

We present an algorithm for rigid body diffusion Monte Carlo with importance sampling, which is based on a rigorous short-time expansion of the Green's function for rotational motion in three dimensions. We show that this short-time…

Computational Physics · Physics 2009-11-07 Alexandra Viel , Mehul V. Patel , Parhat Niyaz , K. Birgitta Whaley

Monte Carlo methods are widely used importance sampling techniques for studying complex physical systems. Integrating these methods with deep learning has significantly improved efficiency and accuracy in high-dimensional problems and…

Disordered Systems and Neural Networks · Physics 2024-12-24 Yixiong Ren , Jianhui Zhou

Sequential sampling occurs when the entire population is not known in advance and data are obtained one at a time or in groups of units. This manuscript proposes a new algorithm to sequentially select a balanced sample. The algorithm…

Methodology · Statistics 2023-01-04 Raphaël Jauslin , Bardia Panahbehagh , Yves Tillé
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