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Importance Sampling (IS) is a method for approximating expectations under a target distribution using independent samples from a proposal distribution and the associated importance weights. In many applications, the target distribution is…

Machine Learning · Statistics 2022-09-14 Gabriel Cardoso , Sergey Samsonov , Achille Thin , Eric Moulines , Jimmy Olsson

Importance sampling (IS) is an important technique to reduce the estimation variance in Monte Carlo simulations. In many practical problems, however, the use of IS method may result in unbounded variance, and thus fail to provide reliable…

Computation · Statistics 2019-02-26 Tengchao Yu , Linjun Lu , Jinglai Li

Direct Alignment Algorithms (DAAs) such as Direct Preference Optimization (DPO) have emerged as alternatives to the standard Reinforcement Learning from Human Feedback (RLHF) for aligning large language models (LLMs) with human values.…

Machine Learning · Computer Science 2025-06-12 Phuc Minh Nguyen , Ngoc-Hieu Nguyen , Duy H. M. Nguyen , Anji Liu , An Mai , Binh T. Nguyen , Daniel Sonntag , Khoa D. Doan

Importance sampling (IS) is a technique that enables statistical estimation of output performance at multiple input distributions from a single nominal input distribution. IS is commonly used in Monte Carlo simulation for variance reduction…

Methodology · Statistics 2025-05-07 Yijuan Liang , Guangxin Jiang , Michael C. Fu

Off-policy learning exhibits greater instability when compared to on-policy learning in reinforcement learning (RL). The difference in probability distribution between the target policy ($\pi$) and the behavior policy (b) is a major cause…

Distributionally robust reinforcement learning (DR-RL) has recently gained significant attention as a principled approach that addresses discrepancies between training and testing environments. To balance robustness, conservatism, and…

Machine Learning · Computer Science 2026-04-29 Zhenghao Li , Shengbo Wang , Nian Si

Models trained with empirical risk minimization (ERM) are prone to be biased towards spurious correlations between target labels and bias attributes, which leads to poor performance on data groups lacking spurious correlations. It is…

Machine Learning · Computer Science 2024-12-23 Hyeonggeun Han , Sehwan Kim , Hyungjun Joo , Sangwoo Hong , Jungwoo Lee

Monitoring the performance of classification models in production is critical yet challenging due to strict labeling budgets, one-shot batch acquisition of labels and extremely low error rates. We propose a general framework based on…

Machine Learning · Computer Science 2026-02-02 Lupo Marsigli , Angel Lopez de Haro

Importance sampling (IS) is a powerful Monte Carlo methodology for the approximation of intractable integrals, very often involving a target probability density function. The performance of IS heavily depends on the appropriate selection of…

Computation · Statistics 2023-06-22 Víctor Elvira , Emilie Chouzenoux , Ömer Deniz Akyildiz , Luca Martino

We study the canonical statistical estimation problem of linear regression from $n$ i.i.d.~examples under $(\varepsilon,\delta)$-differential privacy when some response variables are adversarially corrupted. We propose a variant of the…

Machine Learning · Computer Science 2023-02-01 Xiyang Liu , Prateek Jain , Weihao Kong , Sewoong Oh , Arun Sai Suggala

We study robust high-dimensional sparse regression under finite-variance heavy-tailed noise, epsilon-contamination, and alpha-mixing dependence via two subsampling estimators: Adaptive Importance Sampling (AIS) and Stratified Sub-sampling…

Statistics Theory · Mathematics 2026-03-11 Prateek Mittal , Joohi Chauhan

The study further explores randomized QMC (RQMC), which maintains the QMC convergence rate and facilitates computational efficiency analysis. Emphasis is laid on integrating randomly shifted lattice rules, a distinct RQMC quadrature, with…

Numerical Analysis · Mathematics 2023-09-21 Zhan Zheng , Hejin Wang , Xiaoqun Wang

Recent success in Deep Reinforcement Learning (DRL) methods has shown that policy optimization with respect to an off-policy distribution via importance sampling is effective for sample reuse. In this paper, we show that the use of…

Machine Learning · Computer Science 2023-02-07 Zichuan Lin , Xiapeng Wu , Mingfei Sun , Deheng Ye , Qiang Fu , Wei Yang , Wei Liu

Importance sampling (IS) represents a fundamental technique for a large surge of off-policy reinforcement learning approaches. Policy gradient (PG) methods, in particular, significantly benefit from IS, enabling the effective reuse of…

Machine Learning · Computer Science 2024-05-10 Matteo Papini , Giorgio Manganini , Alberto Maria Metelli , Marcello Restelli

Semi-supervised anomaly detection methods leverage a few anomaly examples to yield drastically improved performance compared to unsupervised models. However, they still suffer from two limitations: 1) unlabeled anomalies (i.e., anomaly…

Machine Learning · Computer Science 2023-07-26 Hongzuo Xu , Yijie Wang , Guansong Pang , Songlei Jian , Ning Liu , Yongjun Wang

Sample selection is a prevalent method in learning with noisy labels, where small-loss data are typically considered as correctly labeled data. However, this method may not effectively identify clean hard examples with large losses, which…

Machine Learning · Computer Science 2023-08-29 Suqin Yuan , Lei Feng , Tongliang Liu

Most deep anomaly detection models are based on learning normality from datasets due to the difficulty of defining abnormality by its diverse and inconsistent nature. Therefore, it has been a common practice to learn normality under the…

Machine Learning · Computer Science 2023-09-19 Minkyung Kim , Jongmin Yu , Junsik Kim , Tae-Hyun Oh , Jun Kyun Choi

Informed down-sampling (IDS) is known to improve performance in symbolic regression when combined with various selection strategies, especially tournament selection. However, recent work found that IDS's gains are not consistent across all…

Neural and Evolutionary Computing · Computer Science 2026-01-28 Alina Geiger , Martin Briesch , Dominik Sobania , Franz Rothlauf

We establish an ordering criterion for the asymptotic variances of two consistent Markov chain Monte Carlo (MCMC) estimators: an importance sampling (IS) estimator, based on an approximate reversible chain and subsequent IS weighting, and a…

Computation · Statistics 2020-07-06 Jordan Franks , Matti Vihola

Differentially private empirical risk minimization (DP-ERM) is a fundamental problem in private optimization. While the theory of DP-ERM is well-studied, as large-scale models become prevalent, traditional DP-ERM methods face new…

Machine Learning · Computer Science 2024-06-05 Yin Tat Lee , Daogao Liu , Zhou Lu
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