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The weighted ensemble (WE) method, an enhanced sampling approach based on periodically replicating and pruning trajectories in a set of parallel simulations, has grown increasingly popular for computational biochemistry problems, due in…

Computational Physics · Physics 2023-06-23 D. Aristoff , J. Copperman , G. Simpson , R. J. Webber , D. M. Zuckerman

The reconstruction of unsteady flow fields from limited measurements is a challenging and crucial task for many engineering applications. Machine learning models are gaining popularity for solving this problem due to their ability to learn…

Fluid Dynamics · Physics 2026-01-09 Marc Amorós-Trepat , Luis Medrano-Navarro , Qiang Liu , Luca Guastoni , Nils Thuerey

Statistical postprocessing is used to translate ensembles of raw numerical weather forecasts into reliable probabilistic forecast distributions. In this study, we examine the use of permutation-invariant neural networks for this task. In…

Machine Learning · Statistics 2024-01-22 Kevin Höhlein , Benedikt Schulz , Rüdiger Westermann , Sebastian Lerch

Sparse signals can be recovered from a reduced set of samples by using compressive sensing algorithms. In common methods the signal is recovered in the sparse domain. A method for the reconstruction of sparse signal which reconstructs the…

Information Theory · Computer Science 2015-04-28 Ljubisa Stankovic , Milos Dakovic

Mixup is a widely adopted data augmentation technique known for enhancing the generalization of machine learning models by interpolating between data points. Despite its success and popularity, limited attention has been given to…

Machine Learning · Computer Science 2025-03-05 Chungpa Lee , Jongho Im , Joseph H. T. Kim

Shock physics experiments are often complicated and expensive. As a result, researchers are unable to conduct as many experiments as they would like - leading to sparse data sets. In this paper, Support Vector Machines for regression are…

Artificial Intelligence · Computer Science 2007-05-23 Nikita A. Sakhanenko , George F. Luger , Hanna E. Makaruk , David B. Holtkamp

We consider the Ensemble Kalman Inversion which has been recently introduced as an efficient, gradient-free optimisation method to estimate unknown parameters in an inverse setting. In the case of large data sets, the Ensemble Kalman…

Numerical Analysis · Mathematics 2023-12-05 Matei Hanu , Jonas Latz , Claudia Schillings

When auditing a redistricting plan, a persuasive method is to compare the plan with an ensemble of neutrally drawn redistricting plans. Ensembles are generated via algorithms that sample distributions on balanced graph partitions. To audit…

Physics and Society · Physics 2024-02-01 Gabriel Chuang , Gregory Herschlag , Jonathan C. Mattingly

Monte Carlo methods are widely used importance sampling techniques for studying complex physical systems. Integrating these methods with deep learning has significantly improved efficiency and accuracy in high-dimensional problems and…

Disordered Systems and Neural Networks · Physics 2024-12-24 Yixiong Ren , Jianhui Zhou

A probabilistic machine learning model is introduced to augment the $k-\omega\ SST$ turbulence model in order to improve the modelling of separated flows and the generalisability of learnt corrections. Increasingly, machine learning methods…

Computational Engineering, Finance, and Science · Computer Science 2023-01-24 Joel Ho , Nick Pepper , Tim Dodwell

This paper presents a simple, effective, and cost-efficient strategy to improve LLM performance by scaling test-time compute. Our strategy builds upon the repeated-sampling-then-voting framework, with a novel twist: incorporating multiple…

Artificial Intelligence · Computer Science 2025-11-11 Jianhao Chen , Zishuo Xun , Bocheng Zhou , Han Qi , Hangfan Zhang , Qiaosheng Zhang , Yang Chen , Wei Hu , Yuzhong Qu , Wanli Ouyang , Shuyue Hu

In this paper, we propose a new deinterleaving method for mixtures of discrete renewal Markov chains. This method relies on the maximization of a penalized likelihood score. It exploits all available information about both the sequence of…

Machine Learning · Computer Science 2024-11-11 Jean Pinsolle , Olivier Goudet , Cyrille Enderli , Sylvain Lamprier , Jin-Kao Hao

In this paper, we propose a novel algorithm for analysis-based sparsity reconstruction. It can solve the generalized problem by structured sparsity regularization with an orthogonal basis and total variation regularization. The proposed…

Computer Vision and Pattern Recognition · Computer Science 2015-04-29 Chen Chen , Junzhou Huang , Lei He , Hongsheng Li

We consider the sampling of the coupled cluster expansion within stochastic coupled cluster theory. Observing the limitations of previous approaches due to the inherently non-linear behaviour of a coupled cluster wavefunction representation…

Chemical Physics · Physics 2018-08-14 Charles J. C. Scott , Alex J. W. Thom

Adaptive importance sampling for stochastic optimization is a promising approach that offers improved convergence through variance reduction. In this work, we propose a new framework for variance reduction that enables the use of mixtures…

Machine Learning · Computer Science 2019-04-01 Zalán Borsos , Sebastian Curi , Kfir Y. Levy , Andreas Krause

We propose PESA, a novel approach combining Particle Swarm Optimisation (PSO), Evolution Strategy (ES), and Simulated Annealing (SA) in a hybrid Algorithm, inspired from reinforcement learning. PESA hybridizes the three algorithms by…

Neural and Evolutionary Computing · Computer Science 2020-09-21 Majdi I. Radaideh , Koroush Shirvan

Monte Carlo rendering algorithms often utilize correlations between pixels to improve efficiency and enhance image quality. For real-time applications in particular, repeated reservoir resampling offers a powerful framework to reuse samples…

Graphics · Computer Science 2022-11-02 Rohan Sawhney , Daqi Lin , Markus Kettunen , Benedikt Bitterli , Ravi Ramamoorthi , Chris Wyman , Matt Pharr

Inference for partially observed Markov process models has been a longstanding methodological challenge with many scientific and engineering applications. Iterated filtering algorithms maximize the likelihood function for partially observed…

Statistics Theory · Mathematics 2012-11-26 Edward L. Ionides , Anindya Bhadra , Yves Atchadé , Aaron King

We explore the applicability of a stochastic time-evolution algorithm based on probabilistic angle interpolation. To simplify the pre-processing of the algorithm, we take the continuous-time limit, thereby explicitly eliminating Trotter…

Quantum Physics · Physics 2026-04-06 Tomoya Hayata , Yuta Kikuchi

We propose a novel sparse sliced inverse regression method based on random projections in a large $p$ small $n$ setting. Embedded in a generalized eigenvalue framework, the proposed approach finally reduces to parallel execution of…

Methodology · Statistics 2023-08-04 Jia Zhang , Runxiong Wu , Xin Chen
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