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Achieving rapid and effective active collision avoidance in dynamic interactive traffic remains a core challenge for autonomous driving. This paper proposes REACT (Runtime-Enabled Active Collision-avoidance Technique), a closed-loop…

Robotics · Computer Science 2025-05-19 Heye Huang , Hao Cheng , Zhiyuan Zhou , Zijin Wang , Qichao Liu , Xiaopeng Li

In this work, we consider the numerical estimation of the probability for a stochastic process to hit a set B before reaching another set A. This event is assumed to be rare. We consider reactive trajectories of the stochastic Allen-Cahn…

Analysis of PDEs · Mathematics 2019-10-21 Charles-Edouard Bréhier , Maxime Gazeau , Ludovic Goudenège , Mathias Rousset

Prediction of complete step-by-step chemical reaction mechanisms (CRMs) remains a major challenge. Whereas the traditional approaches in CRM tasks rely on expert-driven experiments or costly quantum chemical computations, contemporary deep…

Chemical Physics · Physics 2025-12-11 Manajit Das , Ajnabiul Hoque , Mayank Baranwal , Raghavan B. Sunoj

Single-step retrosynthesis is the cornerstone of retrosynthesis planning, which is a crucial task for computer-aided drug discovery. The goal of single-step retrosynthesis is to identify the possible reactants that lead to the synthesis of…

Quantitative Methods · Quantitative Biology 2022-08-12 Huarui He , Jie Wang , Yunfei Liu , Feng Wu

The multi-step denoising process in diffusion and Flow Matching models causes major efficiency issues, which motivates research on few-step generation. We present Solution Flow Models (SoFlow), a framework for one-step generation from…

Machine Learning · Computer Science 2026-03-03 Tianze Luo , Haotian Yuan , Zhuang Liu

Rare events such as conformational changes in biomolecules, phase transitions, and chemical reactions are central to the behavior of many physical systems, yet they are extremely difficult to study computationally because unbiased…

Machine Learning · Statistics 2026-04-16 Yuanqi Du , Jiajun He , Dinghuai Zhang , Eric Vanden-Eijnden , Carles Domingo-Enrich

The nudged elastic band (NEB) method is the standard approach for finding minimum energy paths and transition states on potential energy surfaces. Practical NEB calculations require several pre-processing steps: endpoint minimization,…

Chemical Physics · Physics 2026-04-17 Rohit Goswami

We developed an automated approach to construct the complex reaction network and explore the reaction mechanism for several reactant molecules. The nanoreactor type molecular dynamics was employed to generate possible chemical reactions, in…

Chemical Physics · Physics 2023-12-05 Yutai Zhang , Chao Xu , Zhenggang Lan

Reaction prediction, a critical task in synthetic chemistry, is to predict the outcome of a reaction based on given reactants. Generative models like Transformer have typically been employed to predict the reaction product. However, these…

Machine Learning · Computer Science 2025-11-13 Taicheng Guo , Changsheng Ma , Xiuying Chen , Bozhao Nan , Kehan Guo , Shichao Pei , Nitesh V. Chawla , Olaf Wiest , Xiangliang Zhang

Transition path sampling (TPS), which involves finding probable paths connecting two points on an energy landscape, remains a challenge due to the complexity of real-world atomistic systems. Current machine learning approaches use…

Machine Learning · Computer Science 2025-06-27 Sanjeev Raja , Martin Šípka , Michael Psenka , Tobias Kreiman , Michal Pavelka , Aditi S. Krishnapriyan

Trajectory generation for mobile robots in unstructured environments faces a critical dilemma: balancing kinematic smoothness for safe execution with terminal precision for fine-grained tasks. Existing generative planners often struggle…

Robotics · Computer Science 2026-03-03 Jinyang Zhao , Handong Zheng , Yanjiu Zhong , Qiang Zhang , Yu Kang , Shunyu Wu

Atomic-scale modeling has advanced rapidly through integration of machine learning, yet a key bottleneck remains. Even with an accurate potential energy surface and a clear target material, we still lack a practical atomistic dynamics…

Materials Science · Physics 2026-05-18 Wonseok Jeong , Francesca Tavazza , Brian DeCost

Retrosynthesis planning remains a central challenge in molecular discovery due to the vast and complex chemical reaction space. While traditional template-based methods offer tractability, they suffer from poor scalability and limited…

Machine Learning · Computer Science 2025-07-31 Nguyen Xuan-Vu , Daniel P Armstrong , Zlatko Jončev , Philippe Schwaller

Transition state or minimum energy path finding methods constitute a routine component of the computational chemistry toolkit. Standard analysis involves trajectories conventionally plotted in terms of the relative energy to the initial…

Chemical Physics · Physics 2026-03-09 Rohit Goswami

Recent advances have reformulated diffusion models as deterministic ordinary differential equations (ODEs) through the framework of flow matching, providing a unified formulation for the noise-to-data generative process. Various…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Yan Luo , Henry Huang , Todd Y. Zhou , Mengyu Wang

Template-free retrosynthesis methods treat the task as black-box sequence generation, limiting learning efficiency, while semi-template approaches rely on rigid reaction libraries that constrain generalization. We address this gap with a…

Machine Learning · Computer Science 2026-02-16 Chenguang Wang , Zihan Zhou , Lei Bai , Tianshu Yu

Transition Path Theory (TPT) provides a rigorous framework to investigate the dynamics of rare thermally activated transitions. In this theory, a central role is played by the forward committor function q^+(x), which provides the ideal…

Statistical Mechanics · Physics 2018-08-15 G. Bartolucci , S. Orioli , P. Faccioli

We present a state-space-based path integral method to calculate the rate of electron transfer (ET) in multi-state, multi-electron condensed-phase processes. We employ an exact path integral in discrete electronic states and continuous…

Chemical Physics · Physics 2016-06-07 Jessica Ryan Duke , Nandini Ananth

Robotic manipulation in unstructured environments requires the generation of robust and long-horizon trajectory-level policy with conditions of perceptual observations and benefits from the advantages of SE(3)-equivariant diffusion models…

Robotics · Computer Science 2025-09-30 Zhitao Wang , Yanke Wang , Jiangtao Wen , Roberto Horowitz , Yuxing Han

In the modelling of stochastic phenomena, such as quasi-reaction systems, parameter estimation of kinetic rates can be challenging, particularly when the time gap between consecutive measurements is large. Local linear approximation…

Methodology · Statistics 2026-03-10 Matteo Framba , Veronica Vinciotti , Ernst C. Wit