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Importance sampling and independent Metropolis-Hastings (IMH) are among the fundamental building blocks of Monte Carlo methods. Both require a proposal distribution that globally approximates the target distribution. The Radon-Nikodym…

Statistics Theory · Mathematics 2025-06-17 George Deligiannidis , Pierre E. Jacob , El Mahdi Khribch , Guanyang Wang

This work presents a novel gradient-free importance sampling-based framework for precisely and efficiently estimating rare event probabilities, often encountered in reliability analyses of engineering systems. The approach is formulated…

Methodology · Statistics 2025-01-30 Elsayed Eshra , Konstantinos G. Papakonstantinou

Policy gradient reinforcement learning (RL) algorithms have achieved impressive performance in challenging learning tasks such as continuous control, but suffer from high sample complexity. Experience replay is a commonly used approach to…

Machine Learning · Statistics 2020-02-19 Saad Mohamad , Giovanni Montana

Reducing acquisition time is of fundamental importance in various imaging modalities. The concept of variable density sampling provides a nice framework to achieve this. It was justified recently from a theoretical point of view in the…

Information Theory · Computer Science 2014-01-29 Claire Boyer , Pierre Weiss , Jérémie Bigot

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

Tuning of model-based boosting algorithms relies mainly on the number of iterations, while the step-length is fixed at a predefined value. For complex models with several predictors such as Generalized Additive Models for Location, Scale…

Methodology · Statistics 2021-02-19 Boyao Zhang , Tobias Hepp , Sonja Greven , Elisabeth Bergherr

Approximating probability distributions can be a challenging task, particularly when they are supported over regions of high geometrical complexity or exhibit multiple modes. Annealing can be used to facilitate this task which is often…

Computation · Statistics 2022-02-03 Emma R. Cobian , Jonathan D. Hauenstein , Fang Liu , Daniele E. Schiavazzi

Accurate prediction of fragmentation cross sections is essential for rare-isotope beam production, planning new-isotope searches, and designing experiments to study the most exotic regions of the nuclear chart. However, existing reaction…

Nuclear Experiment · Physics 2026-03-12 O. B. Tarasov

Distribution shift in medical imaging remains a central bottleneck for the clinical translation of medical AI. Failure to address it can lead to severe performance degradation in unseen environments and exacerbate health inequities.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Yizhou Fang , Pujin Cheng , Yixiang Liu , Xiaoying Tang , Longxi Zhou

Despite substantial progress in anomaly synthesis methods, existing diffusion-based and coarse inpainting pipelines commonly suffer from structural deficiencies such as micro-structural discontinuities, limited semantic controllability, and…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Long Qian , Bingke Zhu , Yingying Chen , Ming Tang , Jinqiao Wang

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

Machine Learning · Statistics 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

The least-absolute shrinkage and selection operator (LASSO) is a regularization technique for estimating sparse signals of interest emerging in various applications and can be efficiently solved via the alternating direction method of…

Information Theory · Computer Science 2022-08-25 Huiyue Yi , Yan Xu , Wuxiong Zhang , Hui Xu

Denoising Score Matching with Annealed Langevin Sampling (DSM-ALS) has recently found success in generative modeling. The approach works by first training a neural network to estimate the score of a distribution, and then using Langevin…

Catastrophic forgetting remains a major challenge for continual learning (CL) in automatic speech recognition (ASR), where models must adapt to new domains without losing performance on previously learned conditions. Several CL methods have…

Audio and Speech Processing · Electrical Eng. & Systems 2026-05-14 Steven Vander Eeckt , Hugo Van hamme

Bayesian inference for high-dimensional inverse problems is computationally costly and requires selecting a suitable prior distribution. Amortized variational inference addresses these challenges via a neural network that approximates the…

Machine Learning · Statistics 2023-01-19 Ali Siahkoohi , Gabrio Rizzuti , Rafael Orozco , Felix J. Herrmann

In many applications, Bayesian inverse problems can give rise to probability distributions which contain complexities due to the Hessian varying greatly across parameter space. This complexity often manifests itself as lower dimensional…

Computation · Statistics 2020-07-28 Simon L. Cotter , Ioannis G. Kevrekidis , Paul Russell

We propose Adaptive Incremental Mixture Markov chain Monte Carlo (AIMM), a novel approach to sample from challenging probability distributions defined on a general state-space. While adaptive MCMC methods usually update a parametric…

Methodology · Statistics 2018-06-01 Florian Maire , Nial Friel , Antonietta Mira , Adrian Raftery

Recently, researchers have proposed many deep generative models, including generative adversarial networks(GANs) and denoising diffusion models. Although significant breakthroughs have been made and empirical success has been achieved with…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Chang Wan , Ming-Hsuan Yang , Minglu Li , Yunliang Jiang , Zhonglong Zheng

We introduce data structures for solving robust regression through stochastic gradient descent (SGD) by sampling gradients with probability proportional to their norm, i.e., importance sampling. Although SGD is widely used for large scale…

Machine Learning · Computer Science 2022-07-19 Sepideh Mahabadi , David P. Woodruff , Samson Zhou

We introduce a framework for analyzing and designing EIS inversion algorithms. Our framework stems from the observation of four features common to well-defined EIS inversion algorithms, namely (1) the representation of unknown…

Computational Physics · Physics 2020-06-15 Surya Effendy , Juhyun Song , Martin Z. Bazant
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