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Recent ODE/SDE-based generative models, such as diffusion models, rectified flows, and flow matching, define a generative process as a time reversal of a fixed forward process. Even though these models show impressive performance on…

Machine Learning · Computer Science 2023-05-26 Sangyun Lee , Beomsu Kim , Jong Chul Ye

The quasi-steady state approximation and time-scale separation are commonly applied methods to simplify models of biochemical reaction networks based on ordinary differential equations (ODEs). The concentrations of the "fast" species are…

Dynamical Systems · Mathematics 2016-05-10 Meritxell Sáez , Carsten Wiuf , Elisenda Feliu

Autoregressive (AR)-Diffusion hybrid paradigms combine AR's structured semantic modeling with diffusion's high-fidelity synthesis, yet suffer from a dual speed bottleneck: the sequential AR stage and the iterative multi-step denoising of…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Zhen Zou , Xiaoxiao Ma , Mingde Yao , Jie Huang , LinJiang Huang , Feng Zhao

Transition interface sampling (TIS) and replica exchange TIS (RETIS) are powerful methods for computing rates of rare events inaccessible to straightforward molecular dynamics (MD) simulations. Path reweighting extends their output,…

Chemical Physics · Physics 2026-05-15 Titus S. van Erp , Daniel T. Zhang , Elias Wils , Sina Safaei , An Ghysels

We present an event-triggered boundary control scheme for a class of reaction-diffusion PDEs using operator learning and backstepping method. Our first-of-its-kind contribution aims at learning the backstepping kernels, which inherently…

Optimization and Control · Mathematics 2025-04-03 Hongpeng Yuan , Ji Wang , Mamadou Diagne

The modeling of solid-state transformations, such as polymorphic transitions and chemical reactions in molecular crystals, is vital for many applications including drug design or the development of new synthesis methods. However, a…

Chemical Physics · Physics 2025-06-17 Natalia Goncharova , Johannes Hoja

Pr$_{0.7}$Ca$_{0.3}$MnO$_3$ (PCMO) based RRAM shows promising memory properties like non-volatility, low variability, multiple resistance states and scalability. From a modeling perspective, the charge carrier DC current modeling of PCMO…

Reduction of detailed chemical reaction mechanisms is one of the key methods for mitigating the computational cost of reactive flow simulations. Exploitation of species and elementary reaction sparsity ensures the compactness of the reduced…

Chemical Physics · Physics 2024-10-15 Shen Fang , Siyi Zhang , Zeyu Li , Qingfei Fu , Chong-Wen Zhou , Wang Hana , Lijun Yang

Retrosynthesis involves determining a sequence of reactions to synthesize complex molecules from simpler precursors. As this poses a challenge in organic chemistry, machine learning has offered solutions, particularly for predicting…

Machine Learning · Computer Science 2023-10-12 Mikołaj Sacha , Michał Sadowski , Piotr Kozakowski , Ruard van Workum , Stanisław Jastrzębski

Reaction-diffusion equations are widely used as the governing evolution equations for modeling many physical, chemical, and biological processes. Here we derive reaction-diffusion equations to model transport with reactions on a…

Statistical Mechanics · Physics 2020-09-16 E. Abad , C. N. Angstmann , B. I. Henry , A. V. McGann , F. Le Vot , S. B. Yuste

Minimum energy path (MEP) search is a vital but often very time-consuming method to predict the transition states of versatile dynamic processes in chemistry, physics, and materials science. In this study, we reveal that the chemical bond…

Materials Science · Physics 2023-07-18 Hongsheng Cai , Guoyuan Liu , Peiqi Qiu , Guangfu Luo

Transition-state searches are central to understanding reaction mechanisms, but the high computational cost of density-functional theory (DFT) limits their application in high-throughput catalyst and materials discovery. Machine-learned…

Chemical Physics · Physics 2026-04-02 Jonah Marks , Jonathon Vandezande , Joseph Gomes

Motivation: Stochastic reaction networks are a widespread model to describe biological systems where the presence of noise is relevant, such as in cell regulatory processes. Unfortu-nately, in all but simplest models the resulting discrete…

Quantitative Methods · Quantitative Biology 2021-01-12 Luca Cardelli , Isabel Cristina Perez-Verona , Mirco Tribastone , Max Tschaikowski , Andrea Vandin , Tabea Waizmann

Property-conditional molecular generation should produce valid, diverse molecules while responding to continuous target values at low sampling cost. We introduce DriftingMol, a two-stage framework that adapts drifting models to a SELFIES…

Machine Learning · Computer Science 2026-05-26 Jiangjie Qiu , Yijun Li , Wentao Li , Xiaonan Wang

The construction of a reaction network containing all relevant intermediates and elementary reactions is necessary for the accurate description of chemical processes. In the case of a complex chemical reaction (involving, for instance, many…

Chemical Physics · Physics 2017-12-19 Gregor N. Simm , Markus Reiher

We propose Speech Enhancement based on Drifting Models (DriftSE), a novel generative framework that formulates denoising as an equilibrium problem. Rather than relying on iterative sampling, DriftSE natively achieves one-step inference by…

Nuclear fusion reactions at sub-barrier energies play crucial roles in many aspects of primordial nucleosynthesis in stellar objects. One of the primary aspects that plays a pivotal role in understanding the relationship between stellar…

Nuclear Theory · Physics 2025-12-15 N. Mohammad , H. Sultana , Md. R. Islam , Md. A. Khan

World models learn to predict future states of an environment, enabling planning and mental simulation. Current approaches default to Transformer-based predictors operating in learned latent spaces. This comes at a cost: O(N^2) computation…

Machine Learning · Computer Science 2026-03-24 Fabien Polly

A unified description of full reaction channels in low-energy heavy-ion collisions is a great challenge. Although the theoretical models based on the dinuclear system (DNS) concept have been successfully employed in multinucleon transfer…

Nuclear Theory · Physics 2025-09-05 Zehong Liao , Yu Yang , Zepeng Gao , Jun Su , Long Zhu

Temperature is a fundamental regulator of chemical and biochemical kinetics, yet capturing nonlinear thermal effects directly from experimental data remains a major challenge due to limited throughput and model flexibility. Recent advances…

Quantitative Methods · Quantitative Biology 2025-12-23 Mamoru Saita , Yutaka Hori
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