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The naive importance sampling (IS) estimator generally does not work well in examples involving simultaneous inference on several targets, as the importance weights can take arbitrarily large values, making the estimator highly unstable. In…

Methodology · Statistics 2022-04-20 Vivekananda Roy , Evangelos Evangelou

The maximum likelihood estimation is computationally demanding for large datasets, particularly when the likelihood function includes integrals. Subsampling can reduce the computational burden, but it often results in efficiency loss.This…

Methodology · Statistics 2026-04-27 Miaomiao Su , Qihua Wang , Ruoyu Wang

Many machine learning applications require operating on a spatially distributed dataset. Despite technological advances, privacy considerations and communication constraints may prevent gathering the entire dataset in a central unit. In…

Machine Learning · Statistics 2024-01-30 Alexandros E. Tzikas , Licio Romao , Mert Pilanci , Alessandro Abate , Mykel J. Kochenderfer

Bayesian methods and their implementations by means of sophisticated Monte Carlo techniques have become very popular in signal processing over the last years. Importance Sampling (IS) is a well-known Monte Carlo technique that approximates…

Computation · Statistics 2022-01-21 L. Martino , V. Elvira , G. Camps-Valls

We show that for any multiple-try Metropolis algorithm, one can always accept the proposal and evaluate the importance weight that is needed to correct for the bias without extra computational cost. This results in a general, convenient,…

Computation · Statistics 2024-10-03 Guanxun Li , Aaron Smith , Quan Zhou

A central limitation of multiple-acquisition magnetic resonance imaging (MRI) is the degradation in scan efficiency as the number of distinct datasets grows. Sparse recovery techniques can alleviate this limitation via randomly undersampled…

Image and Video Processing · Electrical Eng. & Systems 2017-10-03 L Kerem Senel , Toygan Kilic , Alper Gungor , Emre Kopanoglu , H Emre Guven , Emine U Saritas , Aykut Koc , Tolga Cukur

The Metropolis-Hastings (MH) algorithm is one of the most widely used Markov Chain Monte Carlo schemes for generating samples from Bayesian posterior distributions. The algorithm is asymptotically exact, flexible and easy to implement.…

Methodology · Statistics 2026-03-10 Estevão Prado , Christopher Nemeth , Chris Sherlock

This paper presents a novel distributed robust optimization scheme for steering distributions of multi-agent systems under stochastic and deterministic uncertainty. Robust optimization is a subfield of optimization which aims to discover an…

Robotics · Computer Science 2025-01-31 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

Markov chain Monte Carlo methods are often deemed too computationally intensive to be of any practical use for big data applications, and in particular for inference on datasets containing a large number $n$ of individual data points, also…

Methodology · Statistics 2015-05-13 Rémi Bardenet , Arnaud Doucet , Chris Holmes

In this paper we combine the Alias method with the concept of systematic sampling, a method commonly used in particle filters for efficient low-variance resampling. The proposed method allows very fast sampling from a discrete distribution:…

Data Structures and Algorithms · Computer Science 2025-09-30 Ilari Vallivaara , Katja Poikselkä , Pauli Rikula , Juha Röning

We consider a reconfigurable intelligent surface (RIS) assisted multiple-input multiple-output (MIMO) system in the presence of scattering objects. The MIMO transmitter and receiver, the RIS, and the scattering objects are modeled as…

Information Theory · Computer Science 2023-09-19 H. El Hassani , X. Qian , S. Jeong , N. S. Perović , M. Di Renzo , P. Mursia , V. Sciancalepore , X. Costa-Pérez

Reconfigurable intelligent surfaces (RISs) are an emerging technology for enhancing the performance of wireless networks at a low and affordable cost, complexity, and power consumption. We introduce an algorithm for optimizing a…

Information Theory · Computer Science 2020-12-01 Xuewen Qian , Marco Di Renzo

Compressed sensing applied to magnetic resonance imaging (MRI) allows to reduce the scanning time by enabling images to be reconstructed from highly undersampled data. In this paper, we tackle the problem of designing a sampling mask for an…

Image and Video Processing · Electrical Eng. & Systems 2020-03-17 Thomas Sanchez , Baran Gözcü , Ruud B. van Heeswijk , Armin Eftekhari , Efe Ilıcak , Tolga Çukur , Volkan Cevher

Sampling from multivariate normal distributions, subjected to a variety of restrictions, is a problem that is recurrent in statistics and computing. In the present work, we demonstrate a general framework to efficiently sample a…

We (claim to) prove the extremely surprising fact that NP=RP. It is achieved by creating a Fully Polynomial-Time Randomized Approximation Scheme (FPRAS) for approximately counting the number of independent sets in bounded degree graphs,…

Computational Complexity · Computer Science 2020-08-06 András Faragó

Marginalized importance sampling (MIS), which measures the density ratio between the state-action occupancy of a target policy and that of a sampling distribution, is a promising approach for off-policy evaluation. However, current…

Machine Learning · Computer Science 2023-11-15 Scott Fujimoto , David Meger , Doina Precup

Optimization-based samplers such as randomize-then-optimize (RTO) [2] provide an efficient and parallellizable approach to solving large-scale Bayesian inverse problems. These methods solve randomly perturbed optimization problems to draw…

Computation · Statistics 2019-10-29 Johnathan Bardsley , Tiangang Cui , Youssef Marzouk , Zheng Wang

Multivariate adaptive regression splines (MARS) is a flexible statistical modeling method that has been popular for data mining applications. MARS has also been employed to approxmiate unknown relationships in optimzation for complex…

Optimization and Control · Mathematics 2020-06-30 Xinglong Ju , Jay M. Rosenberger , Victoria C. P. Chen , Feng Liu

Elliptical slice sampling, when adapted to linearly truncated multivariate normal distributions, is a rejection-free Markov chain Monte Carlo method. At its core, it requires analytically constructing an ellipse-polytope intersection. The…

Machine Learning · Computer Science 2024-07-16 Kaiwen Wu , Jacob R. Gardner

A new method for directly sampling the neutron resonance upscattering effect is presented. Alternatives have relied on inefficient rejection sampling techniques or large tabular storage of relative velocities. None of these approaches,…

Computational Physics · Physics 2023-03-16 Gavin Ridley , Benoit Forget , Timothy Burke