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The marginal likelihood is a central tool for drawing Bayesian inference about the number of components in mixture models. It is often approximated since the exact form is unavailable. A bias in the approximation may be due to an incomplete…

Computation · Statistics 2014-11-14 Jeong Eun Lee , Christian P. Robert

The estimation of rare event or failure probabilities in high dimensions is of interest in many areas of science and technology. We consider problems where the rare event is expressed in terms of a computationally costly numerical model.…

Computation · Statistics 2020-06-11 Felipe Uribe , Iason Papaioannou , Youssef M. Marzouk , Daniel Straub

Level set estimation (LSE) is the problem of identifying regions where an unknown function takes values above or below a specified threshold. Active sampling strategies for efficient LSE have primarily been studied in continuous-valued…

Machine Learning · Statistics 2022-03-21 Benjamin Letham , Phillip Guan , Chase Tymms , Eytan Bakshy , Michael Shvartsman

We consider sampling from a Gibbs distribution by evolving a finite number of particles using a particular score estimator rather than Brownian motion. To accelerate the particles, we consider a second-order score-based ODE, similar to…

Machine Learning · Statistics 2026-01-19 Hong Ye Tan , Stanley Osher , Wuchen Li

Accurate and efficient estimation of rare events probabilities is of significant importance, since often the occurrences of such events have widespread impacts. The focus in this work is on precisely quantifying these probabilities, often…

Methodology · Statistics 2023-05-23 Konstantinos G. Papakonstantinou , Hamed Nikbakht , Elsayed Eshra

Many decision-making processes involve evaluating and then selecting items; examples include scientific peer review, job hiring, school admissions, and investment decisions. The eventual selection is performed by applying rules or…

Computer Science and Game Theory · Computer Science 2025-10-23 Alexander Goldberg , Giulia Fanti , Nihar B. Shah

Bayesian Optimization has become the reference method for the global optimization of black box, expensive and possibly noisy functions. Bayesian Op-timization learns a probabilistic model about the objective function, usually a Gaussian…

Machine Learning · Statistics 2020-03-10 Antonio Candelieri , Ilaria Giordani , Riccardo Perego , Francesco Archetti

We discuss a new weighted likelihood method for parametric estimation. The method is motivated by the need for generating a simple estimation strategy which provides a robust solution that is simultaneously fully efficient when the model is…

Methodology · Statistics 2019-08-29 Suman Majumder , Adhidev Biswas , Tania Roy , Subir Kumar Bhandari , Ayanendranath Basu

Randomized controlled trials typically assume that prognostic covariates are known and available at no cost. In practice, obtaining high-dimensional pretreatment data is costly, forcing a trade-off between covariate-adaptive precision and a…

Machine Learning · Statistics 2026-05-08 Kateryna Husar , Alexander Volfovsky

In this work, we present a new random sampling method for data streams where the probability of an element's inclusion in the sample is proportional to a weight associated with that element. Our method is based on sampling with replacement,…

Data Structures and Algorithms · Computer Science 2026-03-18 Adriano Meligrana , Adriano Fazzone

Visualization is an essential operation when assessing the risk of rare events such as coastal or river floodings. The goal is to display a few prototype events that best represent the probability law of the observed phenomenon, a task…

Probabilistic sensitivity analysis identifies the influential uncertain input to guide decision-making. We propose a general sensitivity framework with respect to the input distribution parameters that unifies a wide range of sensitivity…

Methodology · Statistics 2023-02-10 Jiannan Yang

Active learning emerged as an alternative to alleviate the effort to label huge amount of data for data hungry applications (such as image/video indexing and retrieval, autonomous driving, etc.). The goal of active learning is to…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Minghan Li , Xialei Liu , Joost van de Weijer , Bogdan Raducanu

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

In this paper, we aim to develop a simple and scalable reinforcement learning algorithm that uses standard supervised learning methods as subroutines. Our goal is an algorithm that utilizes only simple and convergent maximum likelihood loss…

Machine Learning · Computer Science 2019-10-09 Xue Bin Peng , Aviral Kumar , Grace Zhang , Sergey Levine

Recent studies on T1-assisted MRI reconstruction for under-sampled images of other modalities have demonstrated the potential of further accelerating MRI acquisition of other modalities. Most of the state-of-the-art approaches have achieved…

Image and Video Processing · Electrical Eng. & Systems 2021-11-15 Junwei Yang , Xiao-Xin Li , Feihong Liu , Dong Nie , Pietro Lio , Haikun Qi , Dinggang Shen

This paper proposes a new Sequential Monte Carlo algorithm to perform online estimation in the context of state space models when either the transition density of the latent state or the conditional likelihood of an observation given a…

Applications · Statistics 2021-05-10 Alice Martin , Marie-Pierre Etienne , Pierre Gloaguen , Sylvain Le Corff , Jimmy Olsson

In this work we propose a batch Bayesian optimization method for combinatorial problems on permutations, which is well suited for expensive-to-evaluate objectives. We first introduce LAW, an efficient batch acquisition method based on…

Machine Learning · Statistics 2023-01-26 Changyong Oh , Roberto Bondesan , Efstratios Gavves , Max Welling

Extreme weather events epitomize high cost: to society through their physical impacts, and to computer servers that simulate them to assess risk and advance physical understanding. It costs hundreds of simulation years to sample a few…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Justin Finkel , Paul A. O'Gorman

This paper presents a novel method for rare event detection from an image pair with class-imbalanced datasets. A straightforward approach for event detection tasks is to train a detection network from a large-scale dataset in an end-to-end…

Computer Vision and Pattern Recognition · Computer Science 2018-12-05 Ryuhei Hamaguchi , Ken Sakurada , Ryosuke Nakamura
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