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We develop a first line of attack for solving programming competition-style problems from input-output examples using deep learning. The approach is to train a neural network to predict properties of the program that generated the outputs…

Machine Learning · Computer Science 2017-03-09 Matej Balog , Alexander L. Gaunt , Marc Brockschmidt , Sebastian Nowozin , Daniel Tarlow

The induced kinetic differential equation of a reaction network endowed with mass action type kinetics is a system of polynomial differential equations. The problem studied here is: Given a polynomial differential equation, is it possible…

Dynamical Systems · Mathematics 2019-09-10 G. Craciun , M. D. Johnston , G. Szederkényi , E. Tonello , J. Tóth , P. Y. Yu

It is demonstrated that the reaction path for a polyatomic molecule (applied to the HCO molecule) is easily calculated via ab-initio configuration interaction (CI) total energies. This Hamiltonian not only reproduces the CI calculations…

Chemical Physics · Physics 2007-05-23 N. C. Bacalis , A. Metropoulos , D. A. Papaconstantopoulos

Investigating a reactive chemical system with automated reaction network exploration algorithms provides a more detailed picture of its chemical mechanism than what would be accessible by manual investigation. In general, exploration…

Chemical Physics · Physics 2023-04-14 Moritz Bensberg , Markus Reiher

A system level view of cellular processes for human and several organisms can be cap- tured by analyzing molecular interaction networks. A molecular interaction network formed of differentially expressed genes and their interactions helps…

Molecular Networks · Quantitative Biology 2016-11-09 Jeethu V. Devasia , Priya Chandran

The Minima Hopping global optimization method uses physically realizable molecular dynamics moves in combination with an energy feedback that guarantees the escape from any potential energy funnel. For the purpose of finding reactions…

Materials Science · Physics 2014-06-05 Bastian Schaefer , Stephan Mohr , Maximilian Amsler , Stefan Goedecker

Given a metabolic network in terms of its metabolites and reactions, our goal is to efficiently compute the minimal knock out sets of reactions required to block a given behaviour. We describe an algorithm which improves the computation of…

Quantitative Methods · Quantitative Biology 2008-08-28 Utz-Uwe Haus , Steffen Klamt , Tamon Stephen

Network inference approaches are now widely used in biological applications to probe regulatory relationships between molecular components such as genes or proteins. Many methods have been proposed for this setting, but the connections and…

Applications · Statistics 2014-06-03 Chris. J. Oates , Sach Mukherjee

The stochastic kinetics of BRN are described by a chemical master equation (CME) and the underlying laws of mass action. The CME must be usually solved numerically by generating enough traces of random reaction events. The resulting…

Molecular Networks · Quantitative Biology 2023-06-21 Pavel Loskot

Here, we demonstrate how machine learning enables the prediction of comonomers reactivity ratios based on the molecular structure of monomers. We combined multi-task learning, multi-inputs, and Graph Attention Network to build a model…

Machine Learning · Computer Science 2023-01-04 Tung Nguyen , Mona Bavarian

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

Modern optical flow methods are often composed of a cascade of many independent steps or formulated as a black box neural network that is hard to interpret and analyze. In this work we seek for a plain, interpretable, but learnable…

Computer Vision and Pattern Recognition · Computer Science 2018-11-12 Christoph Vogel , Patrick Knöbelreiter , Thomas Pock

The vast amount of biological knowledge accumulated over the years has allowed researchers to identify various biochemical interactions and define different families of pathways. There is an increased interest in identifying pathways and…

Applications · Statistics 2011-11-24 Francesco C. Stingo , Yian A. Chen , Mahlet G. Tadesse , Marina Vannucci

In living cells, chemical reactions form a complex network. Complicated dynamics arising from such networks are the origins of biological functions. We propose a novel mathematical method to analyze bifurcation behaviors of a reaction…

Molecular Networks · Quantitative Biology 2018-08-08 Takashi Okada , Je-Chiang Tsai , Atsushi Mochizuki

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

We present a systematic investigation using graph neural networks (GNNs) to model organic chemical reactions. To do so, we prepared a dataset collection of four ubiquitous reactions from the organic chemistry literature. We evaluate seven…

Machine Learning · Computer Science 2020-07-10 Serim Ryou , Michael R. Maser , Alexander Y. Cui , Travis J. DeLano , Yisong Yue , Sarah E. Reisman

Motivation: A Chemical Reaction Network (CRN) is a set of chemical reactions, which can be very complex and difficult to analyze. Indeed, dynamical properties of CRNs can be described by a set of non-linear differential equations that…

Computational Engineering, Finance, and Science · Computer Science 2021-07-02 Lucia Nasti , Roberta Gori , Paolo Milazzo , Federico Poloni

A novel framework for designing the molecular structure of chemical compounds with a desired chemical property has recently been proposed. The framework infers a desired chemical graph by solving a mixed integer linear program (MILP) that…

Computational Engineering, Finance, and Science · Computer Science 2023-05-02 Jianshen Zhu , Naveed Ahmed Azam , Kazuya Haraguchi , Liang Zhao , Hiroshi Nagamochi , Tatsuya Akutsu

Understanding mechanisms of rare but important events in complex molecular systems, such as protein folding or ligand (un)binding, requires accurately mapping transition paths from an initial to a final state. The committor is the ideal…

Chemical Physics · Physics 2026-04-28 Rik S. Breebaart , Gianmarco Lazzeri , Roberto Covino , Peter G. Bolhuis

This work presents the use of graph learning for the prediction of multi-step experimental outcomes for applications across experimental research, including material science, chemistry, and biology. The viability of geometric learning for…

Machine Learning · Computer Science 2024-08-13 Amanda A. Volk , Robert W. Epps , Jeffrey G. Ethier , Luke A. Baldwin