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Uncertainty quantification provides quantitative measures on the reliability of candidate solutions of ill-posed inverse problems. Due to their sequential nature, Monte Carlo sampling methods require large numbers of sampling steps for…

Geophysics · Physics 2021-04-14 Ali Siahkoohi , Felix J. Herrmann

Bayesian inference with computationally expensive likelihood evaluations remains a significant challenge in many scientific domains. We propose normalizing flow regression (NFR), a novel offline inference method for approximating posterior…

Machine Learning · Statistics 2025-04-17 Chengkun Li , Bobby Huggins , Petrus Mikkola , Luigi Acerbi

Transition path sampling is a method for estimating the rates of rare events in molecular systems based on the gradual transformation of a path distribution containing a small fraction of reactive trajectories into a biased distribution in…

Statistical Mechanics · Physics 2015-10-28 Pierre Terrier , Mihai-Cosmin Marinica , Manuel Athènes

The performance of flow matching and diffusion models can be greatly improved at inference time using reward alignment algorithms, yet efficiency remains a major limitation. While several algorithms were proposed, we demonstrate that a…

Machine Learning · Computer Science 2026-02-12 Peter Holderrieth , Uriel Singer , Tommi Jaakkola , Ricky T. Q. Chen , Yaron Lipman , Brian Karrer

Generative Flow Networks (GFlowNets) treat sampling from distributions over compositional discrete spaces as a sequential decision-making problem, training a stochastic policy to construct objects step by step. Recent studies have revealed…

Machine Learning · Computer Science 2024-06-21 Nikita Morozov , Daniil Tiapkin , Sergey Samsonov , Alexey Naumov , Dmitry Vetrov

State estimation or filtering serves as a fundamental task to enable intelligent decision-making in applications such as autonomous vehicles, robotics, healthcare monitoring, smart grids, intelligent transportation, and predictive…

Machine Learning · Computer Science 2025-06-16 Aamir Hussain Chughtai

I give an overview of rare event simulation techniques to generate dynamical pathways across high free energy barriers. The methods on which I will concentrate are the reactive flux approach, transition path sampling, (replica-exchange)…

Statistical Mechanics · Physics 2015-03-17 Titus S. van Erp

Unsupervised optical flow estimators based on deep learning have attracted increasing attention due to the cost and difficulty of annotating for ground truth. Although performance measured by average End-Point Error (EPE) has improved over…

Computer Vision and Pattern Recognition · Computer Science 2022-08-05 Shuzhi Yu , Hannah Halin Kim , Shuai Yuan , Carlo Tomasi

Normalizing Flows (NFs) are a class of generative models distinguished by a mathematically invertible architecture, where the forward pass transforms data into a latent space for density estimation, and the reverse pass generates new…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Yang Chen , Xiaowei Xu , Shuai Wang , Chenhui Zhu , Ruxue Wen , Xubin Li , Tiezheng Ge , Limin Wang

Scene flow estimation is a foundational task for many robotic applications, including robust dynamic object detection, automatic labeling, and sensor synchronization. Two types of approaches to the problem have evolved: 1) Supervised and 2)…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 David T. Hoffmann , Syed Haseeb Raza , Hanqiu Jiang , Denis Tananaev , Steffen Klingenhoefer , Martin Meinke

We propose a new framework for efficiently sampling from complex probability distributions using a combination of normalizing flows and elliptical slice sampling (Murray et al., 2010). The central idea is to learn a diffeomorphism, through…

Methodology · Statistics 2023-03-28 Alberto Cabezas , Christopher Nemeth

Transport maps can ease the sampling of distributions with non-trivial geometries by transforming them into distributions that are easier to handle. The potential of this approach has risen with the development of Normalizing Flows (NF)…

Machine Learning · Statistics 2024-02-20 Louis Grenioux , Alain Durmus , Éric Moulines , Marylou Gabrié

Flux sampling is an analysis that, based on a distribution, picks randomly an efficient number of points from the solution space of a metabolic model. Unlike most constraint-based analyses, flux sampling does not require an objective…

Molecular Networks · Quantitative Biology 2026-04-01 Haris Zafeiropoulos , Daniel Rios Garza

We present an algorithm for finding the probabilities of rare events in nonequilibrium processes. The algorithm consists of evolving the system with a modified dynamics for which the required event occurs more frequently. By keeping track…

Statistical Mechanics · Physics 2011-04-07 Anupam Kundu , Sanjib Sabhapandit , Abhishek Dhar

A common problem that affects simulations of complex systems within the computational physics and chemistry communities is the so-called sampling problem or rare event problem where proper sampling of energy landscapes is impeded by the…

Computational Physics · Physics 2023-03-06 Benjamin Pampel , Simon Holbach , Lisa Hartung , Omar Valsson

We consider the problem of choosing design parameters to minimize the probability of an undesired rare event that is described through the average of $n$ iid random variables. Since the probability of interest for near optimal design…

Optimization and Control · Mathematics 2019-02-22 Amarjit Budhiraja , Shu Lu , Yang Yu , Quoc Tran-Dinh

The present study presents a novel application for normalizing flows for domain adaptation. The study investigates the ability of flow based neural networks to improve signal extraction of $\Lambda$ Hyperons at CLAS12. Normalizing Flows can…

High Energy Physics - Experiment · Physics 2024-03-22 Rowan Kelleher , Matthew McEneaney , Anselm Vossen

Normalizing flows (NFs) provide uncorrelated samples from complex distributions, making them an appealing tool for parameter estimation. However, the practical utility of NFs remains limited by their tendency to collapse to a single mode of…

Machine Learning · Computer Science 2025-05-07 Yihang Wang , Chris Chi , Aaron R. Dinner

Normalizing Flows (NFs) are likelihood-based models for continuous inputs. They have demonstrated promising results on both density estimation and generative modeling tasks, but have received relatively little attention in recent years. In…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Shuangfei Zhai , Ruixiang Zhang , Preetum Nakkiran , David Berthelot , Jiatao Gu , Huangjie Zheng , Tianrong Chen , Miguel Angel Bautista , Navdeep Jaitly , Josh Susskind

Very often when studying non-equilibrium systems one is interested in analysing dynamical behaviour that occurs with very low probability, so called rare events. In practice, since rare events are by definition atypical, they are often…

Statistical Mechanics · Physics 2021-01-06 Dominic C. Rose , Jamie F. Mair , Juan P. Garrahan