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Normalizing flows are a powerful technique for obtaining reparameterizable samples from complex multimodal distributions. Unfortunately, current approaches are only available for the most basic geometries and fall short when the underlying…

机器学习 · 统计学 2021-05-03 Luca Falorsi

This is the third of a series of papers on three-loop computation of renormalization constants for Lattice QCD. Our main point of interest are results for the regularization defined by Iwasaki gauge action and n_f=4 Wilson fermions. Our…

高能物理 - 格点 · 物理学 2015-06-18 M. Brambilla , F. Di Renzo , M. Hasegawa

Recent results suggest that flow-based algorithms may provide efficient sampling of field distributions for lattice field theory applications, such as studies of quantum chromodynamics and the Schwinger model. In this work, we provide a…

The permutation flow shop scheduling (PFSS), aiming at finding the optimal permutation of jobs, is widely used in manufacturing systems. When solving large-scale PFSS problems, traditional optimization algorithms such as heuristics could…

机器学习 · 计算机科学 2023-12-15 Longkang Li , Siyuan Liang , Zihao Zhu , Chris Ding , Hongyuan Zha , Baoyuan Wu

This study focuses on the novel application of a normalizing flow as a method of domain adaptation. Normalizing flows offer a way to transform data points between two different distributions. The present study investigates a method of…

数据分析、统计与概率 · 物理学 2024-05-16 Rowan Kelleher , Anselm Vossen

Reparameterization (RP) and likelihood ratio (LR) gradient estimators are used to estimate gradients of expectations throughout machine learning and reinforcement learning; however, they are usually explained as simple mathematical tricks,…

机器学习 · 计算机科学 2021-06-01 Paavo Parmas , Masashi Sugiyama

We apply Continuous Normalizing Flows trained with the Flow Matching method to the problem of phase-space sampling in Monte Carlo event generation for high-energy collider physics. Focusing on lepton-pair and top quark pair production with…

高能物理 - 唯象学 · 物理学 2026-04-07 Enrico Bothmann , Timo Janßen , Max Knobbe , Bernhard Schmitzer , Fabian Sinz

We propose a unifying approach that starts from the perturbative construction of trivializing maps by L\"uscher and then improves on it by learning. The resulting continuous normalizing flow model can be implemented using common tools of…

高能物理 - 格点 · 物理学 2023-03-29 Simone Bacchio , Pan Kessel , Stefan Schaefer , Lorenz Vaitl

Normalizing flows can generate complex target distributions and thus show promise in many applications in Bayesian statistics as an alternative or complement to MCMC for sampling posteriors. Since no data set from the target posterior…

机器学习 · 统计学 2021-07-19 Marylou Gabrié , Grant M. Rotskoff , Eric Vanden-Eijnden

Normalizing flows can be used to construct unbiased, reduced-variance estimators for lattice field theory observables that are defined by a derivative with respect to action parameters. This work implements the approach for observables…

Failure probability estimation problem is an crucial task in engineering. In this work we consider this problem in the situation that the underlying computer models are extremely expensive, which often arises in the practice, and in this…

统计方法学 · 统计学 2023-02-15 Hongji Wang , Tiexin Guo , Jinglai Li , Hongqiao Wang

We introduce a new algorithm for approximate inference that combines reparametrization, Markov chain Monte Carlo and variational methods. We construct a very flexible implicit variational distribution synthesized by an arbitrary Markov…

机器学习 · 统计学 2017-08-07 Michalis K. Titsias

Renormalization constants can be computed by means of Numerical Stochastic Perturbation Theory to two/three loops in lattice perturbation theory, both in the quenched approximation and in the full (unquenched) theory. As a case of study we…

高能物理 - 格点 · 物理学 2009-11-10 F. Di Renzo , A. Mantovi , V. Miccio , L. Scorzato , C. Torrero

We present a novel integrator based on normalizing flows which can be used to improve the unweighting efficiency of Monte-Carlo event generators for collider physics simulations. In contrast to machine learning approaches based on surrogate…

高能物理 - 唯象学 · 物理学 2020-04-22 Christina Gao , Stefan Hoeche , Joshua Isaacson , Claudius Krause , Holger Schulz

Recent advances in machine learning have led to the development of new methods for enhancing Monte Carlo methods such as Markov chain Monte Carlo (MCMC) and importance sampling (IS). One such method is normalizing flows, which use a neural…

统计计算 · 统计学 2024-01-12 Charly Andral

Safe and reliable state estimation techniques are a critical component of next-generation robotic systems. Agents in such systems must be able to reason about the intentions and trajectories of other agents for safe and efficient motion…

机器人学 · 计算机科学 2023-06-28 Harrison Delecki , Liam A. Kruse , Marc R. Schlichting , Mykel J. Kochenderfer

Computing the marginal likelihood (also called the Bayesian model evidence) is an important task in Bayesian model selection, providing a principled quantitative way to compare models. The learned harmonic mean estimator solves the…

统计方法学 · 统计学 2024-01-22 Alicja Polanska , Matthew A. Price , Alessio Spurio Mancini , Jason D. McEwen

Normalizing Flows are a promising new class of algorithms for unsupervised learning based on maximum likelihood optimization with change of variables. They offer to learn a factorized component representation for complex nonlinear data and,…

机器学习 · 计算机科学 2020-02-17 Reuben Feinman , Nikhil Parthasarathy

A Normalizing Flow computes a bijective mapping from an arbitrary distribution to a predefined (e.g. normal) distribution. Such a flow can be used to address different tasks, e.g. anomaly detection, once such a mapping has been learned. In…

量子物理 · 物理学 2024-07-23 Bodo Rosenhahn , Christoph Hirche

Recent works on learned index open a new direction for the indexing field. The key insight of the learned index is to approximate the mapping between keys and positions with piece-wise linear functions. Such methods require partitioning key…

数据库 · 计算机科学 2022-05-25 Shangyu Wu , Yufei Cui , Jinghuan Yu , Xuan Sun , Tei-Wei Kuo , Chun Jason Xue