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Inverse probability weighting (IPW) is widely used in many areas when data are subject to unrepresentativeness, missingness, or selection bias. An inevitable challenge with the use of IPW is that the IPW estimator can be remarkably unstable…

Methodology · Statistics 2021-11-29 Yukun Liu , Yan Fan

Global optimization problems whose objective function is expensive to evaluate can be solved effectively by recursively fitting a surrogate function to function samples and minimizing an acquisition function to generate new samples. The…

Machine Learning · Computer Science 2020-01-10 Alberto Bemporad

The importance sampling (IS) method lies at the core of many Monte Carlo-based techniques. IS allows the approximation of a target probability distribution by drawing samples from a proposal (or importance) distribution, different from the…

Applications · Statistics 2017-04-21 Manuel A. Vázquez , Joaquín Míguez

Designing a competent meta-reinforcement learning (meta-RL) algorithm in terms of data usage remains a central challenge to be tackled for its successful real-world applications. In this paper, we propose a sample-efficient meta-RL…

Machine Learning · Computer Science 2023-12-12 Jaeuk Shin , Giho Kim , Howon Lee , Joonho Han , Insoon Yang

We study two adaptive importance sampling schemes for estimating the probability of a rare event in the high-dimensional regime $d \to \infty$ with $d$ the dimension. The first scheme is the prominent cross-entropy (CE) method, and the…

Statistics Theory · Mathematics 2025-03-26 Jason Beh , Yonatan Shadmi , Florian Simatos

Reachability analysis is at the core of many applications, from neural network verification, to safe trajectory planning of uncertain systems. However, this problem is notoriously challenging, and current approaches tend to be either too…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Thomas Lew , Marco Pavone

Importance sampling (IS) is a Monte Carlo methodology that allows for approximation of a target distribution using weighted samples generated from another proposal distribution. Adaptive importance sampling (AIS) implements an iterative…

Computation · Statistics 2018-06-04 Yousef El-Laham , Victor Elvira , Monica F. Bugallo

We develop importance sampling based efficient simulation techniques for three commonly encountered rare event probabilities associated with random walks having i.i.d. regularly varying increments; namely, 1) the large deviation…

Probability · Mathematics 2014-09-30 Karthyek R. A. Murthy , Sandeep Juneja , Jose Blanchet

State inference and parameter learning in sequential models can be successfully performed with approximation techniques that maximize the evidence lower bound to the marginal log-likelihood of the data distribution. These methods may be…

Machine Learning · Computer Science 2026-03-10 Helena Calatrava , Ricardo Augusto Borsoi , Tales Imbiriba , Pau Closas

Gaussian process regression is a powerful Bayesian nonlinear regression method. Recent research has enabled the capture of many types of observations using non-Gaussian likelihoods. To deal with various tasks in spatial modeling, we benefit…

Machine Learning · Statistics 2025-08-26 Yuta Shikuri

Rare event probability estimation is an important topic in reliability analysis. Stochastic methods, such as importance sampling, have been developed to estimate such probabilities but they often fail in high dimension. In this paper, we…

Computation · Statistics 2021-08-24 Maxime El-Masri , Jérôme Morio , Florian Simatos

In many real-world learning scenarios, features are only acquirable at a cost constrained under a budget. In this paper, we propose a novel approach for cost-sensitive feature acquisition at the prediction-time. The suggested method…

Machine Learning · Computer Science 2019-02-19 Mohammad Kachuee , Orpaz Goldstein , Kimmo Karkkainen , Sajad Darabi , Majid Sarrafzadeh

Rare events in molecular dynamics are often related to noise-induced transitions between different macroscopic states (e.g., in protein folding). A common feature of these rare transitions is that they happen on timescales that are on…

Probability · Mathematics 2026-01-06 Carsten Hartmann , Annika Jöster , Christof Schütte , Alexander Sikorski , Marcus Weber

Despite empirical risk minimization (ERM) is widely applied in the machine learning community, its performance is limited on data with spurious correlation or subpopulation that is introduced by hidden attributes. Existing literature…

Machine Learning · Computer Science 2024-12-18 Hongyu Shen , Zhizhen Zhao

Intent detection, a critical component in task-oriented dialogue (TOD) systems, faces significant challenges in adapting to the rapid influx of integrable tools with complex interrelationships. Existing approaches, such as zero-shot…

Computation and Language · Computer Science 2025-04-22 Zihao Feng , Xiaoxue Wang , Ziwei Bai , Donghang Su , Bowen Wu , Qun Yu , Baoxun Wang

We consider systems of stochastic differential equations with multiple scales and small noise and assume that the coefficients of the equations are ergodic and stationary random fields. Our goal is to construct provably-efficient importance…

Probability · Mathematics 2015-09-29 Konstantinos Spiliopoulos

Quantum mechanics for many-body systems may be reduced to the evaluation of integrals in 3N dimensions using Monte-Carlo, providing the Quantum Monte Carlo ab initio methods. Here we limit ourselves to expectation values for trial…

Computational Physics · Physics 2010-11-22 John Robert Trail , Ryo Maezono

Imitation learning has gained immense popularity because of its high sample-efficiency. However, in real-world scenarios, where the trajectory distribution of most of the tasks dynamically shifts, model fitting on continuously aggregated…

Machine Learning · Computer Science 2023-07-04 Kiran Lekkala , Sami Abu-El-Haija , Laurent Itti

Estimating the probability of rare failure events is an essential step in the reliability assessment of engineering systems. Computing this failure probability for complex non-linear systems is challenging, and has recently spurred the…

Machine Learning · Computer Science 2022-02-10 P. -R. Wagner , S. Marelli , I. Papaioannou , D. Straub , B. Sudret

We propose a general methodology for performing statistical inference within a `rare-events regime' that was recently suggested by Wagner, Viswanath and Kulkarni. Our approach allows one to easily establish consistent estimators for a very…

Information Theory · Computer Science 2011-10-07 Mesrob I. Ohannessian , Vincent Y. F. Tan , Munther A. Dahleh
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