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We describe a new approach to the rare-event Monte Carlo sampling problem. This technique utilizes a symmetrization strategy to create probability distributions that are more highly connected and thus more easily sampled than their…

Statistical Mechanics · Physics 2015-05-28 Nuria Plattner , J. D. Doll , Paul Dupuis , Hui Wang , Yufei Liu , J. E. Gubernatis

Detecting rare events, those defined to give rise to high impact but have a low probability of occurring, is a challenge in a number of domains including meteorological, environmental, financial and economic. The use of machine learning to…

Applications · Statistics 2022-09-13 Santhosh Narayanan , Carsten Maple , Mark Hooper

Diffusion processes with small noise conditioned to reach a target set are considered. The AMS algorithm is a Monte Carlo method that is used to sample such rare events by iteratively simulating clones of the process and selecting…

Numerical Analysis · Mathematics 2022-12-12 Frédéric Cérou , Sofiane Martel , Mathias Rousset

Achieving high efficiency in modern photorealistic rendering hinges on using Monte Carlo sampling distributions that closely approximate the illumination integral estimated for every pixel. Samples are typically generated from a set of…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Joey Litalien , Miloš Hašan , Fujun Luan , Krishna Mullia , Iliyan Georgiev

Normalizing flows are powerful non-parametric statistical models that function as a hybrid between density estimators and generative models. Current learning algorithms for normalizing flows assume that data points are sampled…

Machine Learning · Computer Science 2023-05-31 Matthias Kirchler , Christoph Lippert , Marius Kloft

The probability of rare and extreme events is an important quantity for design purposes. However, computing the probability of rare events can be expensive because only a few events, if any, can be observed. To this end, it is necessary to…

Computational Physics · Physics 2020-01-08 Malik Hassanaly , Venkat Raman

Survival analysis, or time-to-event modelling, is a classical statistical problem that has garnered a lot of interest for its practical use in epidemiology, demographics or actuarial sciences. Recent advances on the subject from the point…

Machine Learning · Computer Science 2021-07-28 Guillaume Ausset , Tom Ciffreo , Francois Portier , Stephan Clémençon , Timothée Papin

Photos are becoming spontaneous, objective, and universal sources of information. This paper develops evolving situation recognition using photo streams coming from disparate sources combined with the advances of deep learning. Using visual…

Multimedia · Computer Science 2017-02-21 Mengfan Tang , Feiping Nie , Siripen Pongpaichet , Ramesh Jain

Continuous-time event sequences, in which events occur at irregular intervals, are ubiquitous across a wide range of industrial and scientific domains. The contemporary modeling paradigm is to treat such data as realizations of a temporal…

Machine Learning · Computer Science 2026-04-07 Gavin Kerrigan , Kai Nelson , Padhraic Smyth

We (claim to) prove the extremely surprising fact that NP=RP. It is achieved by creating a Fully Polynomial-Time Randomized Approximation Scheme (FPRAS) for approximately counting the number of independent sets in bounded degree graphs,…

Computational Complexity · Computer Science 2020-08-06 András Faragó

Many turbulent flows undergo drastic and abrupt configuration changes with huge impacts. As a paradigmatic example we study the multistability of jet dynamics in a barotropic beta plane model of atmosphere dynamics. It is considered as the…

Statistical Mechanics · Physics 2019-02-27 Freddy Bouchet , Joran Rolland , Eric Simonnet

We present a new and efficient method for computing the transition pathways, free energy barriers, and transition rates in complex systems with relatively smooth energy landscapes. The method proceeds by evolving strings, i.e. smooth curves…

Condensed Matter · Physics 2009-11-07 Weinan E , Weiqing Ren , Eric Vanden-Eijnden

This study investigates, by means of numerical simulations, extreme mechanical force exerted by a turbulent flow impinging on a bluff body, and examines the relevance of two distinct rare-event algorithms to efficiently sample these events.…

Computational Physics · Physics 2020-05-20 Thibault Lestang , Freddy Bouchet , Emmanuel Lévêque

Normalizing flows can transform a simple prior probability distribution into a more complex target distribution. Here, we evaluate the ability and efficiency of generative machine learning methods to sample the Boltzmann distribution of an…

Soft Condensed Matter · Physics 2024-09-16 Gerhard Jung , Giulio Biroli , Ludovic Berthier

The potential effects of conservation actions on threatened species can be predicted using ensemble ecosystem models by forecasting populations with and without intervention. These model ensembles commonly assume stable coexistence of…

Populations and Evolution · Quantitative Biology 2024-03-22 Sarah A. Vollert , Christopher Drovandi , Matthew P. Adams

Importance sampling has been known as a powerful tool to reduce the variance of Monte Carlo estimator for rare event simulation. Based on the criterion of minimizing the variance of Monte Carlo estimator within a parametric family, we…

Methodology · Statistics 2013-02-11 Cheng-Der Fuh , Huei-Wen Teng , Ren-Her Wang

Normalizing flows are a class of generative models that enable exact likelihood evaluation. While these models have already found various applications in particle physics, normalizing flows are not flexible enough to model many of the…

High Energy Physics - Phenomenology · Physics 2022-09-07 Rob Verheyen

We present a Cross-Entropy based population Monte Carlo algorithm. This methods stands apart from previous work in that we are not optimizing a mixture distribution. Instead, we leverage deterministic mixture weights and optimize the…

Computation · Statistics 2022-02-09 Caleb Miller , Jem N. Corcoran , Michael D. Schneider

We propose a relative entropy gradient sampler (REGS) for sampling from unnormalized distributions. REGS is a particle method that seeks a sequence of simple nonlinear transforms iteratively pushing the initial samples from a reference…

Machine Learning · Statistics 2021-10-07 Xingdong Feng , Yuan Gao , Jian Huang , Yuling Jiao , Xu Liu

Modern neutrino-nucleus cross section predictions need to incorporate sophisticated nuclear models to achieve greater predictive precision. However, the computational complexity of these advanced models often limits their practicality for…

High Energy Physics - Experiment · Physics 2025-05-19 Mathias El Baz , Federico Sánchez , Natalie Jachowicz , Kajetan Niewczas , Ashish Kumar Jha , Alexis Nikolakopoulos