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In this work, we present a simple and efficient generator of polymeric linear chains, based on a random self-avoiding walk process. The chains are generated using a discrete process of growth, in cubic networks and in a finite time, without…

Statistical Mechanics · Physics 2020-03-09 David R. Avellaneda B. , Ramón E. R. González

The monkey walk is a stochastic process defined as the trajectory of a walker that moves on $\mathbb R^d$ according to a Markovian generator, except at some random "relocation" times at which it jumps back to its position at a time sampled…

Probability · Mathematics 2024-09-05 Erion-Stelios Boci , Cécile Mailler

The goal of this paper is to apply the method of Lagrangian descriptors to reveal the phase space mechanism by which a Caldera-type potential energy surface (PES) exhibits the dynamical matching phenomenon. Using this technique, we can…

Chaotic Dynamics · Physics 2020-11-30 M. Katsanikas , Víctor J. García-Garrido , S. Wiggins

Machine Learning Inter-atomic Potentials (MLIPs) have become a common tool in use by computational chemists due to their combination of accuracy and speed. Yet, it is still not clear how well these tools behave at or near transitions states…

Chemical Physics · Physics 2022-11-15 Aaron Philip , Guoqing Zhou , Benjamin Nebgen

We introduce a general framework that constructs estimators with reduced variance for random walk Metropolis and Metropolis-adjusted Langevin algorithms. The resulting estimators require negligible computational cost and are derived in a…

Methodology · Statistics 2022-03-07 Angelos Alexopoulos , Petros Dellaportas , Michalis K. Titsias

We study the Stochastic Shortest Path (SSP) problem for autonomous systems with mixed max-sum cost aggregations under Linear Temporal Logic constraints. Classical SSP formulations rely on sum-aggregated costs, which are suitable for…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Zhiquan Zhang , Omar Muhammetkulyyev , Tichakorn Wongpiromsarn , Melkior Ornik

The precise characterization of dynamics in open quantum systems often presents significant challenges, leading to the introduction of various approximations to simplify a model. One commonly used strategy involves Markovian approximations,…

Quantum Physics · Physics 2024-12-04 Zhao-Ming Wang , S. L. Wu , Mark S. Byrd , Lian-Ao Wu

In many realistic systems, maximum entropy principle (MEP) analysis provides an effective characterization of the probability distribution of network states. However, to implement the MEP analysis, a sufficiently long-time data recording in…

Biological Physics · Physics 2019-02-27 Zhi-Qin John Xu , Jennifer Crodelle , Douglas Zhou , David Cai

In this paper, we consider a modified version of the control problem in a model free Markov decision process (MDP) setting with large state and action spaces. The control problem most commonly addressed in the contemporary literature is to…

Artificial Intelligence · Computer Science 2018-02-01 Ajin George Joseph , Shalabh Bhatnagar

For certain materials science scenarios arising in rubber technology, one-dimensional moving boundary problems (MBPs) with kinetic boundary conditions are capable of unveiling the large-time behavior of the diffusants penetration front,…

Numerical Analysis · Mathematics 2023-12-04 Surendra Nepal , Magnus Ogren , Yosief Wondmagegne , Adrian Muntean

We present an approach to interface branching random walks with Markov chain Monte Carlo sampling, and to switch seamlessly between the two. The approach is discussed in the context of auxiliary-field quantum Monte Carlo (AFQMC) but is…

Strongly Correlated Electrons · Physics 2023-11-01 Zhi-Yu Xiao , Hao Shi , Shiwei Zhang

We implement a master-slave parallel genetic algorithm (PGA) with a bespoke log-likelihood fitness function to identify emergent clusters within price evolutions. We use graphics processing units (GPUs) to implement a PGA and visualise the…

Computational Finance · Quantitative Finance 2016-02-17 Dieter Hendricks , Diane Wilcox , Tim Gebbie

We investigate a novel stochastic technique for the global optimization of complex potential energy surfaces (PES) that avoids the freezing problem of simulated annealing by allowing the dynamical process to tunnel energetically…

Computational Physics · Physics 2009-10-31 W. Wenzel , K. Hamacher

As a widely used method in metabolic network studies, Monte-Carlo sampling in the steady state flux space is known for its flexibility and convenience of carrying out different purposes, simply by alternating constraints or objective…

Quantitative Methods · Quantitative Biology 2012-10-19 Lu Xie

We present a new method, the Coupled Escape Probability (CEP), for exact calculation of line emission from multi-level systems, solving only algebraic equations for the level populations. The CEP formulation of the classical two-level…

Astrophysics · Physics 2009-11-13 Moshe Elitzur , Andres Asensio Ramos

This paper considers probabilistic estimation of a low-rank matrix from non-linear element-wise measurements of its elements. We derive the corresponding approximate message passing (AMP) algorithm and its state evolution. Relying on…

Information Theory · Computer Science 2016-04-19 Thibault Lesieur , Florent Krzakala , Lenka Zdeborová

We have developed and commissioned an experimental system at ELI-NP towards searches for axion-like particles (ALPs) in the worldwide 10~PW-class laser facility. The search principle is based on the Four-Wave Mixing (FWM) process at a focal…

Global optimization is an active area of research in atomistic simulations, and many algorithms have been proposed to date. A prominent example is basin hopping Monte Carlo, which performs a modified Metropolis Monte Carlo search to explore…

Chemical Physics · Physics 2020-02-04 Martín Leandro Paleico , Jörg Behler

Lazy graph search algorithms are efficient at solving motion planning problems where edge evaluation is the computational bottleneck. These algorithms work by lazily computing the shortest potentially feasible path, evaluating edges along…

Robotics · Computer Science 2019-07-18 Mohak Bhardwaj , Sanjiban Choudhury , Byron Boots , Siddhartha Srinivasa

Integer linear programming (ILP) remains computationally challenging due to its NP-complete nature despite its central role in scheduling, logistics, and design optimization. We introduce a fully quantum Metropolis-Hastings algorithm for…

Quantum Physics · Physics 2026-02-16 Gabriel Escrig , Roberto Campos , M. A. Martin-Delgado