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Rare events are processes that occur upon the emergence of unlikely fluctuations. Unlike what their name suggests, rare events are fairly ubiquitous in nature, as the occurrence of many structural transformations in biology and material…

Statistical Mechanics · Physics 2020-02-26 Sarwar Hussain , Amir Haji-Akbari

Rare events are ubiquitous in many different fields, yet they are notoriously difficult to simulate because few, if any, events are observed in a conventiona l simulation run. Over the past several decades, specialised simulation methods…

Statistical Mechanics · Physics 2015-05-13 Rosalind J. Allen , Chantal Valeriani , Pieter Rein ten Wolde

Many rare event transitions involve multiple collective variables (CVs) and the most appropriate combination of CVs is generally unknown a priori. We thus introduce a new method, contour forward flux sampling (cFFS), to study rare events…

Statistical Mechanics · Physics 2019-01-14 Ryan S. DeFever , Sapna Sarupria

Rare events such as nucleation processes are of ubiquitous importance in real systems. The most popular method for nonequilibrium systems, forward flux sampling (FFS), samples rare events by using interfaces to partition the whole…

Methodology · Statistics 2013-11-22 Huijun Jiang , Mingfeng Pu , Zhonghuai Hou

We present a method for computing stationary distributions for activated processes in equilibrium and non-equilibrium systems using Forward Flux Sampling (FFS). In this method, the stationary distributions are obtained directly from the…

Soft Condensed Matter · Physics 2009-07-06 Chantal Valeriani , Rosalind J. Allen , Marco J. Morelli , Daan Frenkel , Pieter Rein ten Wolde

We present a new method, Non-Stationary Forward Flux Sampling, that allows efficient simulation of rare events in both stationary and non-stationary stochastic systems. The method uses stochastic branching and pruning to achieve uniform…

Molecular Networks · Quantitative Biology 2015-06-03 Nils B. Becker , Rosalind J. Allen , Pieter Rein ten Wolde

Forward flux sampling (FFS) provides a convenient and efficient way to simulate rare events in equilibrium or non-equilibrium systems. FFS ratchets the system from an initial state to a final state via a series of interfaces in phase space.…

Chemical Physics · Physics 2015-06-15 Kai Kratzer , Axel Arnold , Rosalind J. Allen

From Physics and Biology to Seismology and Economics, the behaviour of countless systems is determined by impactful yet unlikely transitions between metastable states known as \emph{rare events}, the study of which is essential for…

Computational Physics · Physics 2025-07-22 Solomon Asghar , Qing-Xiang Pei , Giorgio Volpe , Ran Ni

Smart training set selections procedures enable the reduction of data needs and improves predictive robustness in machine learning problems relevant to chemistry. We introduce Gradient Guided Furthest Point Sampling (GGFPS), a simple…

Machine Learning · Statistics 2025-10-13 Morris Trestman , Stefan Gugler , Felix A. Faber , O. A. von Lilienfeld

Point-based Neural Networks (PNNs) have become a key approach for point cloud processing. However, a core operation in these models, Farthest Point Sampling (FPS), often introduces significant inference latency, especially for large-scale…

Machine Learning · Computer Science 2026-04-21 Yuzhe Fu , Hancheng Ye , Cong Guo , Junyao Zhang , Qinsi Wang , Yueqian Lin , Changchun Zhou , Hai , Li , Yiran Chen

Particle flow (PFL) is an effective method for overcoming particle degeneracy, the main limitation of particle filtering. In PFL, particles are migrated towards regions of high likelihood based on the solution of a partial differential…

Signal Processing · Electrical Eng. & Systems 2024-12-16 Wenyu Zhang , Mohammad J. Khojasteh , Nikolay A. Atanasov , Florian Meyer

Path sampling approaches have become invaluable tools to explore the mechanisms and dynamics of so-called rare events that are characterized by transitions between metastable states separated by sizeable free energy barriers. Their…

Statistical Mechanics · Physics 2022-06-08 Steven W. Hall , Grisell Díaz Leines , Sapna Sarupria , Jutta Rogal

The frequency-domain approach (FDA) to transient analysis of the boundary element method, although is appealing for engineering applications, is computationally expensive. This paper proposes a novel adaptive frequency sampling (AFS)…

Numerical Analysis · Mathematics 2016-02-09 Jinyou Xiao , Junjie Rong , Wenjing Ye , Chuanzeng Zhang

We introduce a new Forward-Flux Sampling in Time (FFST) algorithm to efficiently measure transition times in rare-event processes in non-equilibrium systems, and apply it to study the first-order (discontinuous) kinetic transition in the…

Statistical Mechanics · Physics 2015-05-19 David A. Adams , Robert M. Ziff , Leonard M. Sander

Processing large point clouds is a challenging task. Therefore, the data is often sampled to a size that can be processed more easily. The question is how to sample the data? A popular sampling technique is Farthest Point Sampling (FPS).…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Oren Dovrat , Itai Lang , Shai Avidan

In order to prevent velocity, pressure, and temperature spikes at material discontinuities occurring when the interface-capturing schemes inconsistently simulate compressible multi-material flows(when the specific heats ratio is…

Computational Physics · Physics 2020-12-29 Zhiwei He , Yousheng Zhang , Li Li , Baolin Tian

Point cloud representation has gained traction due to its efficient memory usage and simplicity in acquisition, manipulation, and storage. However, as point cloud sizes increase, effective down-sampling becomes essential to address the…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Shubham Bhardwaj , Ashwin Vinod , Soumojit Bhattacharya , Aryan Koganti , Aditya Sai Ellendula , Balakrishna Reddy

Sampling is an essential part of raw point cloud data processing such as in the popular PointNet++ scheme. Farthest Point Sampling (FPS), which iteratively samples the farthest point and performs distance updating, is one of the most…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Jingtao Li , Jian Zhou , Yan Xiong , Xing Chen , Chaitali Chakrabarti

Understanding the dynamics of complex molecular processes is often linked to the study of infrequent transitions between long-lived stable states. The standard approach to the sampling of such rare events is to generate an ensemble of…

Computational Physics · Physics 2023-05-22 Sebastian Falkner , Alessandro Coretti , Salvatore Romano , Phillip Geissler , Christoph Dellago

Normalizing flow (NF) has gained popularity over traditional maximum likelihood based methods due to its strong capability to model complex data distributions. However, the standard approach, which maps the observed data to a normal…

Machine Learning · Computer Science 2022-11-22 Hanze Dong , Shizhe Diao , Weizhong Zhang , Tong Zhang
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