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The ability to reason beyond established knowledge allows Organic Chemists to solve synthetic problems and to invent novel transformations. Here, we propose a model which mimics chemical reasoning and formalises reaction prediction as…

Artificial Intelligence · Computer Science 2017-12-27 Marwin H. S. Segler , Mark P. Waller

Chemical reactions can be understood as transformations of multigraphs (molecules) that preserve vertex labels (atoms) and degrees (sums of bonding and non-bonding electrons), thereby implying the atom-atom map of a reaction. The…

Combinatorics · Mathematics 2023-11-23 Christoph Flamm , Stefan Müller , Peter F. Stadler

A novel framework has recently been proposed for designing the molecular structure of chemical compounds with a desired chemical property using both artificial neural networks and mixed integer linear programming. In the framework, a…

Machine Learning · Computer Science 2021-08-24 Naveed Ahmed Azam , Jianshen Zhu , Kazuya Haraguchi , Liang Zhao , Hiroshi Nagamochi , Tatsuya Akutsu

Formulating an effective constraint model of a parameterised problem class is crucial to the efficiency with which instances of the class can subsequently be solved. It is difficult to know beforehand which of a set of candidate models will…

Artificial Intelligence · Computer Science 2024-11-15 Ian Miguel , András Z. Salamon , Christopher Stone

A method which casts the chemical source term computation into an artificial neural network (ANN)-inspired form is presented. This approach is well-suited for use on emerging supercomputing platforms that rely on graphical processing units…

Chemical Physics · Physics 2021-05-11 Shivam Barwey , Venkat Raman

For the investigation of chemical reaction networks, the efficient and accurate determination of all relevant intermediates and elementary reactions is mandatory. The complexity of such a network may grow rapidly, in particular if reactive…

Chemical Physics · Physics 2016-01-08 Maike Bergeler , Gregor N. Simm , Jonny Proppe , Markus Reiher

Graph neural networks are widely used to learn global representations of graphs, which are then used for regression or classification tasks. Typically, the graphs in such data sets are connected, i.e. each training sample consists of a…

Computational Engineering, Finance, and Science · Computer Science 2022-11-01 Chen Shao , Zhou Chen , Pascal Friederich

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

Direct numerical simulations of turbulent reacting flows involving millions of grid points and detailed chemical mechanisms with hundreds of species and thousands of reactions are computationally prohibitive. To address this challenge, we…

Machine Learning · Computer Science 2026-03-25 Manuru Nithin Padiyar , Priyabrat Dash , Konduri Aditya

Graph rewrite formalisms are a powerful approach to modeling complex molecular systems. They capture the intrinsic concurrency of molecular interactions, thereby enabling a formal notion of mechanism (a partially ordered set of events) that…

Logic in Computer Science · Computer Science 2019-01-04 Ioana Cristescu , Walter Fontana , Jean Krivine

Linear logics have been shown to be able to embed both rewriting-based approaches and process calculi in a single, declarative framework. In this paper we are exploring the embedding of double-pushout graph transformations into quantified…

Logic in Computer Science · Computer Science 2009-12-01 Paolo Torrini , Reiko Heckel

Graph rewriting is a popular tool for the optimisation and modification of graph expressions in domains such as compilers, machine learning and quantum computing. The underlying data structures are often port graphs - graphs with labels at…

Data Structures and Algorithms · Computer Science 2025-03-27 Luca Mondada , Pablo Andrés-Martínez

We provide a category theoretical framework capturing two approaches to graph-based models of chemistry: formal reactions and disconnection rules. We model a translation from the latter to the former as a functor, which is faithful, and…

Logic in Computer Science · Computer Science 2024-10-03 Ella Gale , Leo Lobski , Fabio Zanasi

We develop the first theory of control-flow graphs from first principles, and use it to create an algorithm for automatically synthesizing many variants of control-flow graph generators from a language's operational semantics. Our approach…

Programming Languages · Computer Science 2022-07-25 James Koppel , Jackson Kearl , Armando Solar-Lezama

RuleBuilder is a tool for drawing graphs that can be represented by the BioNetGen language (BNGL), which is used to formulate mathematical, rule-based models of biochemical systems. BNGL provides an intuitive plain-text, or string,…

Quantitative Methods · Quantitative Biology 2018-03-15 Ryan Suderman , G. Matthew Fricke , William S. Hlavacek

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

Graph-based reaction systems were recently introduced as a generalization of the intensely studied set-based reaction systems. They deal with simple edge-labeled directed graphs, and dynamic semantics of graph-based reaction systems is…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-04 Hans-Jörg Kreowski , Aaron Lye

Reaction mechanisms are often presented as sequences of elementary steps, such as codified by arrow pushing. We propose an approach for representing such mechanisms using graph transformation. In this framework, each elementary step is a…

Random graph models have been instrumental in characterizing complex networks, but chemical reaction networks (CRNs) are better represented as hypergraphs. Traditional models of random CRNs often reduce CRNs to bipartite graphs,…

Statistical Mechanics · Physics 2025-07-15 Shesha Gopal Marehalli Srinivas , Massimiliano Esposito , Nahuel Freitas

We describe a visual programming language for defining behaviors manifested by reified actors in a 2D virtual world that can be compiled into programs comprised of sequences of combinators that are themselves reified as actors. This makes…

Neural and Evolutionary Computing · Computer Science 2015-06-05 Lance R. Williams