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We propose a novel approximate inference algorithm that approximates a target distribution by amortising the dynamics of a user-selected MCMC sampler. The idea is to initialise MCMC using samples from an approximation network, apply the…

Machine Learning · Statistics 2017-05-23 Yingzhen Li , Richard E. Turner , Qiang Liu

Reconfigurable intelligent surfaces (RISs) consist of many passive elements of metamaterials whose impedance can be controllable to change the characteristics of wireless signals impinging on them. Channel estimation is a critical task when…

Information Theory · Computer Science 2023-09-14 Özlem Tuğfe Demir , Emil Björnson

Importance sampling with data-driven proposal distributions is widely used in practice. A common workflow first generates an auxiliary sample of size $N$ from an approximation of the target distribution, constructs a density estimate $\hat…

Statistics Theory · Mathematics 2026-05-20 Cathrine Aeckerle-Willems , Ilja Klebanov , Simon Weissmann

Importance sampling has been known as a powerful tool to reduce the variance of Monte Carlo estimator for rare event simulation. Based on the criterion of minimizing the variance of Monte Carlo estimator within a parametric family, we…

Methodology · Statistics 2013-02-11 Cheng-Der Fuh , Huei-Wen Teng , Ren-Her Wang

Recent advancements in Artificial Neural Networks have significantly improved human activity recognition using multiple time-series sensors. While employing numerous sensors with high-frequency sampling rates usually improves the results,…

Signal Processing · Electrical Eng. & Systems 2024-10-11 Mengxi Liu , Zimin Zhao , Daniel Geißler , Bo Zhou , Sungho Suh , Paul Lukowicz

In this paper, we propose a novel and generic family of multiple importance sampling estimators. We first revisit the celebrated balance heuristic estimator, a widely used Monte Carlo technique for the approximation of intractable…

Computation · Statistics 2019-04-09 Mateu Sbert , Víctor Elvira

Medical imaging systems are often evaluated and optimized via objective, or task-specific, measures of image quality (IQ) that quantify the performance of an observer on a specific clinically-relevant task. The performance of the Bayesian…

Signal Processing · Electrical Eng. & Systems 2023-04-04 Weimin Zhou , Umberto Villa , Mark A. Anastasio

Simulated tempering (ST) is an established Markov chain Monte Carlo (MCMC) method for sampling from a multimodal density $\pi(\theta)$. Typically, ST involves introducing an auxiliary variable $k$ taking values in a finite subset of $[0,1]$…

Computation · Statistics 2008-11-03 Robert B. Gramacy , Richard J. Samworth , Ruth King

This work proposes a novel method through which local information about the target density can be used to construct an efficient importance sampler. The backbone of the proposed method is the Incremental Mixture Importance Sampling (IMIS)…

Computation · Statistics 2016-11-22 Matteo Fasiolo , Flávio Eler de Melo , Simon Maskell

Importance sampling is a Monte Carlo technique for efficiently estimating the likelihood of rare events by biasing the sampling distribution towards the rare event of interest. By drawing weighted samples from a learned proposal…

Machine Learning · Statistics 2025-05-20 Liam A. Kruse , Marc R. Schlichting , Mykel J. Kochenderfer

Multiple Importance Sampling (MIS) methods approximate moments of complicated distributions by drawing samples from a set of proposal distributions. Several ways to compute the importance weights assigned to each sample have been recently…

Computation · Statistics 2016-09-16 Víctor Elvira , Luca Martino , David Luengo , Mónica F. Bugallo

This paper investigates the use of beyond diagonal reconfigurable intelligent surface (BD-RIS) with $N$ elements to advance integrated sensing and communication (ISAC). We address a key gap in the statistical characterizations of the radar…

Signal Processing · Electrical Eng. & Systems 2025-02-19 Thanh Luan Nguyen , Georges Kaddoum , Bassant Selim , Chadi Assi

We propose a new estimator for the high-dimensional linear regression model with observation error in the design where the number of coefficients is potentially larger than the sample size. The main novelty of our procedure is that the…

Methodology · Statistics 2019-09-09 Alexandre Belloni , Abhishek Kaul , Mathieu Rosenbaum

Annealed Importance Sampling (AIS) synthesizes weighted samples from an intractable distribution given its unnormalized density function. This algorithm relies on a sequence of interpolating distributions bridging the target to an initial…

Machine Learning · Statistics 2023-06-28 Shirin Goshtasbpour , Victor Cohen , Fernando Perez-Cruz

We propose a technique called Optimal Analysis-Specific Importance Sampling (OASIS) to reduce the number of simulated events required for a high-energy experimental analysis to reach a target sensitivity. We provide recipes to obtain the…

High Energy Physics - Phenomenology · Physics 2021-02-17 Konstantin T. Matchev , Prasanth Shyamsundar

We construct an adaptive independent Metropolis-Hastings sampler that uses a mixture of normals as a proposal distribution. To take full advantage of the potential of adaptive sampling our algorithm updates the mixture of normals…

Computation · Statistics 2008-01-15 P. Giordani , R. Kohn

The ideal observer (IO) sets an upper performance limit among all observers and has been advocated for assessing and optimizing imaging systems. For general joint detection and estimation (detection-estimation) tasks, estimation ROC (EROC)…

Signal Processing · Electrical Eng. & Systems 2021-12-03 Kaiyan Li , Weimin Zhou , Hua Li , Mark A. Anastasio

Stochastic optimization in learning and inference often relies on Markov chain Monte Carlo (MCMC) to approximate gradients when exact computation is intractable. However, finite-time MCMC estimators are biased, and reducing this bias…

Statistics Theory · Mathematics 2026-02-02 Antoine Godichon-Baggioni , Gabriel Lang , Sylvain Le Corff , Julien Stoehr , Sobihan Surendran

The multilevel Monte Carlo (MLMC) method for continuous-time Markov chains, first introduced by Anderson and Higham (SIAM Multiscal Model. Simul. 10(1), 2012), is a highly efficient simulation technique that can be used to estimate various…

Numerical Analysis · Mathematics 2022-11-08 Chiheb Ben Hammouda , Nadhir Ben Rached , Raul Tempone

Classical mixture models (MMs) are widely used tractable proposals for approximate inference settings such as variational inference (VI) and importance sampling (IS). Recently, mixture models with negative coefficients, called subtractive…

Machine Learning · Computer Science 2026-04-21 Lena Zellinger , Nicola Branchini , Lennert De Smet , Víctor Elvira , Nikolay Malkin , Antonio Vergari
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