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We develop a method to learn physical systems from data that employs feedforward neural networks and whose predictions comply with the first and second principles of thermodynamics. The method employs a minimum amount of data by enforcing…

Machine Learning · Computer Science 2020-11-16 Quercus Hernández , Alberto Badias , David Gonzalez , Francisco Chinesta , Elias Cueto

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

Recent developments in computational chemistry facilitate the automated quantum chemical exploration of chemical reaction networks for the in-silico prediction of synthesis pathways, yield, and selectivity. However, the underlying quantum…

Chemical Physics · Physics 2025-10-22 Marco Eckhoff , Markus Reiher

Causal relationships play a fundamental role in understanding the world around us. The ability to identify and understand cause-effect relationships is critical to making informed decisions, predicting outcomes, and developing effective…

Statistical Mechanics · Physics 2025-09-10 Sergio Chibbaro , Cyril Furtlehner , Théo Marchetta , Andrei-Tiberiu Pantea , Davide Rossetti

Background: A classical problem in metabolic design is to maximize the production of desired compound in a given chemical reaction network by appropriately directing the mass flow through the network. Computationally, this problem is…

Molecular Networks · Quantitative Biology 2011-10-28 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

This paper addresses the problem of estimating link flows in a road network by combining limited traffic volume and vehicle trajectory data. While traffic volume data from loop detectors have been the common data source for link flow…

Machine Learning · Computer Science 2022-06-28 Miner Zhong , Jiwon Kim , Zuduo Zheng

Understanding the set of elementary steps and kinetics in each reaction is extremely valuable to make informed decisions about creating the next generation of catalytic materials. With physical and mechanistic complexity of industrial…

Inferring chemical reaction networks (CRN) from concentration time series is a challenge encouragedby the growing availability of quantitative temporal data at the cellular level. This motivates thedesign of algorithms to infer the…

Quantitative Methods · Quantitative Biology 2023-02-09 Julien Martinelli , Jeremy Grignard , Sylvain Soliman , Annabelle Ballesta , François Fages

Atom tracing is essential for understanding the fate of labeled atoms in biochemical reaction networks, yet existing computational methods either simplify label correlations or suffer from combinatorial explosion. We introduce a…

Molecular Networks · Quantitative Biology 2025-12-12 Marcel Friedrichs , Daniel Merkle

We propose the Poisson neural networks (PNNs) to learn Poisson systems and trajectories of autonomous systems from data. Based on the Darboux-Lie theorem, the phase flow of a Poisson system can be written as the composition of (1) a…

Machine Learning · Computer Science 2020-12-08 Pengzhan Jin , Zhen Zhang , Ioannis G. Kevrekidis , George Em Karniadakis

In this paper we propose a model-order reduction method for chemical reaction networks governed by general enzyme kinetics, including the mass-action and Michaelis-Menten kinetics. The model-order reduction method is based on the Kron…

Systems and Control · Computer Science 2012-12-12 Shodhan Rao , Arjan van der Schaft , Karen van Eunen , Barbara M. Bakker , Bayu Jayawardhana

Accurately predicting the dynamics of robotic systems is crucial for model-based control and reinforcement learning. The most common way to estimate dynamics is by fitting a one-step ahead prediction model and using it to recursively…

Machine Learning · Computer Science 2021-09-02 Nathan O. Lambert , Albert Wilcox , Howard Zhang , Kristofer S. J. Pister , Roberto Calandra

We propose the use of recurrent neural networks for classifying phases of matter based on the dynamics of experimentally accessible observables. We demonstrate this approach by training recurrent networks on the magnetization traces of two…

Disordered Systems and Neural Networks · Physics 2018-08-22 Evert van Nieuwenburg , Eyal Bairey , Gil Refael

We describe a fully data driven model that learns to perform a retrosynthetic reaction prediction task, which is treated as a sequence-to-sequence mapping problem. The end-to-end trained model has an encoder-decoder architecture that…

Identifying network structure and inferring parameters are central challenges in modeling chemical reaction networks. In this study, we propose likelihood-based methods grounded in multinomial logistic regression to infer both…

Quantitative Methods · Quantitative Biology 2025-07-29 Boseung Choi , Hey-Won Kang , Grzegorz A. Rempala

Predicting the physico-chemical properties of pure substances and mixtures is a central task in thermodynamics. Established prediction methods range from fully physics-based ab-initio calculations, which are only feasible for very simple…

Machine Learning · Computer Science 2024-12-02 Johannes Zenn , Dominik Gond , Fabian Jirasek , Robert Bamler

Interacting particle systems play a key role in science and engineering. Access to the governing particle interaction law is fundamental for a complete understanding of such systems. However, the inherent system complexity keeps the…

Machine Learning · Computer Science 2022-10-25 Zhichao Han , David S. Kammer , Olga Fink

The discovery of transition pathways to unravel distinct reaction mechanisms and, in general, rare events that occur in molecular systems is still a challenge. Recent advances have focused on analyzing the transition path ensemble using the…

Bayesian networks are powerful statistical models to study the probabilistic relationships among set random variables with major applications in disease modeling and prediction. Here, we propose a continuous time Bayesian network with…

Machine Learning · Computer Science 2021-07-16 Syed Hasib Akhter Faruqui , Adel Alaeddini , Jing Wang , Carlos A. Jaramillo

Chemical reaction practicality is the core task among all symbol intelligence based chemical information processing, for example, it provides indispensable clue for further automatic synthesis route inference. Considering that chemical…

Computation and Language · Computer Science 2019-04-23 Shu Jiang , Zhuosheng Zhang , Hai Zhao , Jiangtong Li , Yang Yang , Bao-Liang Lu , Ning Xia