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Related papers: Optimal Rejection-Free Path Sampling

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Drawing from the theory of stochastic differential equations, we introduce a novel sampling method for known distributions and a new algorithm for diffusion generative models with unknown distributions. Our approach is inspired by the…

Statistics Theory · Mathematics 2024-07-12 Xicheng Zhang

We describe a general probabilistic framework to address a variety of Frechet-distance optimization problems. Specifically, we are interested in finding minimal bottleneck-paths in $d$-dimensional Euclidean space between given start and…

Computational Geometry · Computer Science 2016-07-12 Kiril Solovey , Dan Halperin

An energy-biased method to evaluate ensemble averages requiring test-particle insertion is presented. The method is based on biasing the sampling within the subdomains of the test-particle configurational space with energies smaller than a…

Chemical Physics · Physics 2009-11-11 R. Delgado-Buscalioni , G. De Fabritiis , P. V. Coveney

Diffusion and flow-matching have emerged as powerful methodologies for generative modeling, with remarkable success in capturing complex data distributions and enabling flexible guidance at inference time. Many downstream applications,…

Machine Learning · Computer Science 2026-04-28 Zeyang Li , Kaveh Alim , Navid Azizan

This study employed an artificial intelligence-enhanced molecular simulation framework to enable efficient Path Integral Molecular Dynamics (PIMD) simulations. Owing to its modular architecture and high-throughput capabilities, the…

Chemical Physics · Physics 2025-04-01 Cheng Fan , Maodong Li , Sihao Yuan , Zhaoxin Xie , Dechin Chen , Yi Isaac Yang , Yi Qin Gao

Finding and sampling multiple reaction channels for molecular transitions remains an important challenge in physical chemistry. Here we show that the weighted ensemble (WE) path sampling method can readily sample multiple channels. In a…

Biological Physics · Physics 2009-02-17 Bin W. Zhang , David Jasnow , Daniel M. Zuckerman

We present a novel particle filtering framework for continuous-time dynamical systems with continuous-time measurements. Our approach is based on the duality between estimation and optimal control, which allows reformulating the estimation…

Optimization and Control · Mathematics 2021-10-08 Qinsheng Zhang , Amirhossein Taghvaei , Yongxin Chen

We introduce a simple yet effective sampling-based planner that is tailored for bottleneck pathfinding: Given an implicitly-defined cost map $\mathcal{M}:\mathbb{R}^d\rightarrow \mathbb{R}$, which assigns to every point in space a real…

Robotics · Computer Science 2016-09-28 Kiril Solovey , Dan Halperin

The paper introduces an asymptotically optimal lifelong sampling-based path planning algorithm that combines the merits of lifelong planning algorithms and lazy search algorithms for rapid replanning in dynamic environments where edge…

Robotics · Computer Science 2025-07-23 Lu Huang , Jingwen Yu , Jiankun Wang , Xingjian Jing

This work addresses inverse linear optimization where the goal is to infer the unknown cost vector of a linear program. Specifically, we consider the data-driven setting in which the available data are noisy observations of optimal…

Optimization and Control · Mathematics 2021-12-07 Rishabh Gupta , Qi Zhang

In this paper we combine the Alias method with the concept of systematic sampling, a method commonly used in particle filters for efficient low-variance resampling. The proposed method allows very fast sampling from a discrete distribution:…

Data Structures and Algorithms · Computer Science 2025-09-30 Ilari Vallivaara , Katja Poikselkä , Pauli Rikula , Juha Röning

Continuous-time quantum Monte Carlo refers to a class of algorithms designed to sample the thermal distribution of a quantum Hamiltonian through exact expansions of the Boltzmann exponential in terms of stochastic trajectories which are…

Statistical Mechanics · Physics 2024-07-17 Luke Causer , Konstantinos Sfairopoulos , Jamie F. Mair , Juan P. Garrahan

Estimating free energy differences, an important problem in computational drug discovery and in a wide range of other application areas, commonly involves a computationally intensive process of sampling a family of high-dimensional…

We propose a simple subsampling scheme for fast randomized approximate computation of optimal transport distances. This scheme operates on a random subset of the full data and can use any exact algorithm as a black-box back-end, including…

Computation · Statistics 2020-12-17 Max Sommerfeld , Jörn Schrieber , Yoav Zemel , Axel Munk

Sampling-based model predictive control methods like MPPI and CEM are essential for real-time control of nonlinear robotic systems, particularly where discontinuous dynamics preclude gradient-based optimization. However, these methods…

Robotics · Computer Science 2026-05-05 Vincent Pacelli , Akash Ratheesh , Evangelos A. Theodorou

The choice of transition kernel critically influences the performance of the Markov chain Monte Carlo method. Despite the importance of kernel choice, guiding principles for optimal kernels have not been established. Here, we propose a…

Statistical Mechanics · Physics 2023-11-28 Hidemaro Suwa

Sampling random graphs with given properties is a key step in the analysis of networks, as random ensembles represent basic null models required to identify patterns such as communities and motifs. An important requirement is that the…

Methodology · Statistics 2015-02-23 Tiziano Squartini , Rossana Mastrandrea , Diego Garlaschelli

We consider the related tasks of matrix completion and matrix approximation from missing data and propose adaptive sampling procedures for both problems. We show that adaptive sampling allows one to eliminate standard incoherence…

Machine Learning · Statistics 2014-07-15 Akshay Krishnamurthy , Aarti Singh

Data subsampling has become widely recognized as a tool to overcome computational and economic bottlenecks in analyzing massive datasets. We contribute to the development of adaptive design for estimation of finite population…

Methodology · Statistics 2024-07-08 Henrik Imberg , Xiaomi Yang , Carol Flannagan , Jonas Bärgman

In this article we consider the problem of choosing an optimal sampling scheme for the regression problem simultaneously with that of model selection. We consider a batch type approach and an on-line approach following algorithms recently…

Statistics Theory · Mathematics 2018-01-30 Ana Karina Fermin , Carenne Ludeña