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Linear model prediction with a large number of potential predictors is both statistically and computationally challenging. The traditional approaches are largely based on shrinkage selection/estimation methods, which are applicable even…

Methodology · Statistics 2024-09-17 Hanmei Sun , Jiangshan Zhang , Jiming Jiang

Stochastic reaction networks are mathematical models with a wide range of applications in biochemistry, ecology, and epidemiology, and are often complex to analyze. Except for some special cases, it is generally difficult to predict how the…

Probability · Mathematics 2026-04-02 Daniele Cappelletti , Giulio Cuniberti , Paola Siri

AI agents deployed in assistive roles often have to collaborate with other agents (humans, AI systems) without prior coordination. Methods considered state of the art for such ad hoc teamwork often pursue a data-driven approach that needs a…

Artificial Intelligence · Computer Science 2025-08-07 Hasra Dodampegama , Mohan Sridharan

Retrosynthesis is the task of planning a series of chemical reactions to create a desired molecule from simpler, buyable molecules. While previous works have proposed algorithms to find optimal solutions for a range of metrics (e.g.…

Artificial Intelligence · Computer Science 2024-04-16 Austin Tripp , Krzysztof Maziarz , Sarah Lewis , Marwin Segler , José Miguel Hernández-Lobato

Morphogenesis is central to biology but remains largely unexplored in chemistry. Reaction-diffusion (RD) mechanisms are, however, essential to understand how shape emerges in the living world. While numerical methods confirm the incredible…

Pattern Formation and Solitons · Physics 2014-07-17 Anton S. Zadorin , Yannick Rondelez , Jean-Christophe Galas , André Estevez-Torres

Retrosynthesis is the process of determining the set of reactant molecules that can react to form a desired product. Semi-template-based retrosynthesis methods, which imitate the reverse logic of synthesis reactions, first predict the…

Machine Learning · Computer Science 2024-04-01 Frazier N. Baker , Ziqi Chen , Daniel Adu-Ampratwum , Xia Ning

We introduce a mathematical framework for retrosynthetic analysis, an important research method in synthetic chemistry. Our approach represents molecules and their interaction using string diagrams in layered props - a recently introduced…

Logic in Computer Science · Computer Science 2023-11-08 Ella Gale , Leo Lobski , Fabio Zanasi

Transition states (TSs) govern the rates and outcomes of chemical reactions, making their accurate prediction a central challenge in computational chemistry. Although recent machine-learning models achieve near chemical accuracy in the…

We report a series of deep learning models to solve complex forward and inverse design problems in molecular modeling and design. Using both diffusion models inspired by nonequilibrium thermodynamics and attention-based transformer…

Materials Science · Physics 2023-06-21 Rachel K. Luu , Marcin Wysokowski , Markus J. Buehler

Retrosynthesis, the process of breaking down a target molecule into simpler precursors through a series of valid reactions, stands at the core of organic chemistry and drug development. Although recent machine learning (ML) research has…

Artificial Intelligence · Computer Science 2026-05-12 Haorui Wang , Jeff Guo , Lingkai Kong , Rampi Ramprasad , Philippe Schwaller , Yuanqi Du , Chao Zhang

Accurately predicting chemical reactions is essential for driving innovation in synthetic chemistry, with broad applications in medicine, manufacturing, and agriculture. At the same time, reaction prediction is a complex problem which can…

Machine Learning · Computer Science 2025-04-23 Ryan J. Miller , Alexander E. Dashuta , Brayden Rudisill , David Van Vranken , Pierre Baldi

Machine learning-based models to predict product state distributions from a distribution of reactant conditions for atom-diatom collisions are presented and quantitatively tested. The models are based on function-, kernel- and grid-based…

Chemical Physics · Physics 2020-11-06 Julian Arnold , Debasish Koner , Silvan Käser , Narendra Singh , Raymond J. Bemish , Markus Meuwly

Chemical reaction network theory is a powerful framework to describe and analyze chemical systems. While much about the concentration profile in an equilibrium state can be determined in terms of the graph structure, the overall reaction's…

Molecular Networks · Quantitative Biology 2024-02-29 Tomoharu Suda

Reaction diagram parsing is the task of extracting reaction schemes from a diagram in the chemistry literature. The reaction diagrams can be arbitrarily complex, thus robustly parsing them into structured data is an open challenge. In this…

Computation and Language · Computer Science 2023-05-22 Yujie Qian , Jiang Guo , Zhengkai Tu , Connor W. Coley , Regina Barzilay

Computational techniques are required for narrowing down the vast space of possibilities to plausible prebiotic scenarios, since precise information on the molecular composition, the dominant reaction chemistry, and the conditions for that…

Molecular Networks · Quantitative Biology 2018-02-07 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

In the first part of this paper, we propose new optimization-based methods for the computation of preferred (dense, sparse, reversible, detailed and complex balanced) linearly conjugate reaction network structures with mass action dynamics.…

Dynamical Systems · Mathematics 2014-07-15 Matthew D. Johnston , David Siegel , Gábor Szederkényi

During reactive transport modeling, the computational cost associated with chemical reaction calculations is often 10-100 times higher than that of transport calculations. Most of these costs results from chemical equilibrium calculations…

Optimization and Control · Mathematics 2017-08-17 Allan M. M. Leal , Dmitrii A. Kulik , Martin O. Saar

Reaction diffusion equations have been used to model a wide range of biological phenomenon related to population spread and proliferation from ecology to cancer. It is commonly assumed that individuals in a population have homogeneous…

Dynamical Systems · Mathematics 2023-04-14 Kyle Nguyen , Erica M. Rutter , Kevin Flores

The trend to equilibrium for reaction-diffusion systems modelling chemical reaction networks is investigated, in the case when reaction processes happen on subsets of the domain. We prove the convergence to equilibrium by directly showing…

Analysis of PDEs · Mathematics 2024-12-17 Laurent Desvillettes , Kim Dang Phung , Bao Quoc Tang

Early action prediction aims to successfully predict the class label of an action before it is completely performed. This is a challenging task because the beginning stages of different actions can be very similar, with only minor subtle…

Computer Vision and Pattern Recognition · Computer Science 2022-07-25 Lin Geng Foo , Tianjiao Li , Hossein Rahmani , Qiuhong Ke , Jun Liu
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