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Computing accurate rate constants for catalytic events occurring at the surface of a given material represents a challenging task with multiple potential applications in chemistry. To address this question, we propose an approach based on a…

The first passage time (FPT) is a generic measure that quantifies when a random quantity reaches a specific state. We consider the FTP distribution in nonlinear stochastic biochemical networks, where obtaining exact solutions of the…

Molecular Networks · Quantitative Biology 2024-09-05 Changqian Rao , David Waxman , Wei Lin , Zhuoyi Song

Time-to-Contact (TTC) estimation is a critical task for assessing collision risk and is widely used in various driver assistance and autonomous driving systems. The past few decades have witnessed development of related theories and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Yuheng Shi , Zehao Huang , Yan Yan , Naiyan Wang , Xiaojie Guo

With the capability to find the best fit to arbitrarily complicated data patterns, machine-learning (ML) enhanced quantum state tomography (QST) has demonstrated its advantages in extracting complete information about the quantum states.…

Quantum Physics · Physics 2022-03-31 Hsien-Yi Hsieh , Jingyu Ning , Yi-Ru Chen , Hsun-Chung Wu , Hua Li Chen , Chien-Ming Wu , Ray-Kuang Lee

Consider the standard stochastic reaction network model where the dynamics is given by a continuous-time Markov chain over a discrete lattice. For such models, estimation of parameter sensitivities is an important problem, but the existing…

Quantitative Methods · Quantitative Biology 2019-05-01 Patrik Dürrenberger , Ankit Gupta , Mustafa Khammash

In comparison to numerous enhanced sampling methods for equilbrium thermodynamics, accelerating simulations for kinetics and nonequilibrium statistics are relatively rare and less effective. Here we derive a time-reversal path sampling…

Chemical Physics · Physics 2023-11-10 Zhirong Liu

The problem of estimating entropy production from incomplete information in stochastic thermodynamics is essential for theory and experiments. Whereas a considerable amount of work has been done on this topic, arguably, most of it is…

Statistical Mechanics · Physics 2024-12-17 Pedro E. Harunari , Carlos E. Fiore , Andre C. Barato

We present an algorithm for computing melting points by autonomously learning from coexistence simulations in the NPT ensemble. Given the interatomic interaction model, the method makes decisions regarding the number of atoms and…

Materials Science · Physics 2023-10-16 Olga Klimanova , Timofei Miryashkin , Alexander Shapeev

Reaction rate equations are ordinary differential equations that are frequently used to describe deterministic chemical kinetics at the macroscopic scale. At the microscopic scale, the chemical kinetics is stochastic and can be captured by…

Soft Condensed Matter · Physics 2021-05-12 Ariana Torres-Knoop , Ivan Kryven

Mapping reaction pathways and transition states (TS) is fundamental to chemistry but computationally expensive at scale. The minimum energy pathway (MEP) dictates reaction rates and mechanisms, yet recovering it via electronic-structure…

Chemical Physics · Physics 2026-05-25 Rémi Schlama , Philippe Schwaller

This work considers robot keypoint estimation on color images as a supervised machine learning task. We propose the use of probabilistically created renderings to overcome the lack of labeled real images. Rather than sampling from…

Computer Vision and Pattern Recognition · Computer Science 2019-07-04 Christoph Heindl , Sebastian Zambal , Josef Scharinger

Repulsive point processes arise in models where competition forces entities to be more spread apart than if placed independently. Simulation of these types of processes can be accomplished using dominated coupling from the past with a…

Probability · Mathematics 2010-10-18 Mark L. Huber , Elise McCall , Daniel Rozenfeld , Jason Xu

Stochastic kinetic models describe systems across biology, chemistry, and physics where discrete events and small populations render deterministic approximations inadequate. Parameter inference and inverse design in these systems require…

Computational Physics · Physics 2026-03-06 Francesco Mottes , Qian-Ze Zhu , Michael P. Brenner

A machine learned (ML) model for predicting product state distributions from specific initial states (state-to-distribution or STD) for reactive atom-diatom collisions is presented and quantitatively tested for the N($^4$S)+O$_{2}$(X$^3…

Deep learning is a potential approach to automatically develop kinetic models from experimental data. We propose a deep neural network model of KiNet to represent chemical kinetics. KiNet takes the current composition states and predicts…

Computational Physics · Physics 2021-08-03 Weiqi Ji , Sili Deng

Next-generation intelligent systems must plan and execute complex tasks with imperfect information about their environment. As a result, plans must also include actions to learn about the environment. This is known as active perception.…

Systems and Control · Electrical Eng. & Systems 2021-11-04 Rafael Rodrigues da Silva , Vince Kurtz , Hai Lin

Stochastic restart may drastically reduce the expected run time of a computer algorithm, expedite the completion of a complex search process, or increase the turnover rate of an enzymatic reaction. These diverse first-passage-time (FPT)…

Statistical Mechanics · Physics 2020-10-30 Shlomi Reuveni

Our goal is to develop a principled and general algorithmic framework for task-driven estimation and control for robotic systems. State-of-the-art approaches for controlling robotic systems typically rely heavily on accurately estimating…

Optimization and Control · Mathematics 2019-05-08 Vincent Pacelli , Anirudha Majumdar

Sensitivity analysis of biochemical reactions aims at quantifying the dependence of the reaction dynamics on the reaction rates. The computation of the parameter sensitivities, however, poses many computational challenges when taking…

Molecular Networks · Quantitative Biology 2018-11-07 Vo Hong Thanh , Roberto Zunino , Corrado Priami

Stochastic modeling of reaction networks is a framework used to describe the time evolution of many natural and artificial systems, including, biochemical reactive systems at the molecular level, viral kinetics, the spread of epidemic…

Numerical Analysis · Mathematics 2014-06-10 Alvaro Moraes , Raul Tempone , Pedro Vilanova