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String diagrams are a powerful tool for reasoning about physical processes, logic circuits, tensor networks, and many other compositional structures. Dixon, Duncan and Kissinger introduced string graphs, which are a combinatoric…

Category Theory · Mathematics 2014-04-02 Aleks Kissinger , Alex Merry , Matvey Soloviev

We present a novel method for identifying a biochemical reaction network based on multiple sets of estimated reaction rates in the corresponding reaction rate equations arriving from various (possibly different) experiments. The current…

Applications · Statistics 2008-10-06 Gheorghe Craciun , Casian Pantea , Grzegorz A. Rempala

Knowledge graphs are often visualized using node-link diagrams that reveal relationships and structure. In many applications using graphs, it is desirable to allow users to edit graphs to ensure data accuracy or provides updates. Commonly…

Human-Computer Interaction · Computer Science 2025-12-15 Reza Shahriari , Eric D. Ragan , Jaime Ruiz

Rapid discovery of new reactions and molecules in recent years has been facilitated by the advancements in high throughput screening, accessibility to a much more complex chemical design space, and the development of accurate molecular…

Molecular Networks · Quantitative Biology 2023-03-28 Vipul Mann , Venkat Venkatasubramanian

The Bond Graph approach and the Chemical Reaction Network approach to modelling biomolecular systems developed independently. This paper brings together the two approaches by providing a bond graph interpretation of the chemical reaction…

Molecular Networks · Quantitative Biology 2019-07-04 Peter J. Gawthrop , Edmund J. Crampin

Reactive programs combine traditional sequential programming constructs with primitives to allow communication with other concurrent agents. They are ubiquitous in modern applications, ranging from components systems and web services, to…

Logic in Computer Science · Computer Science 2021-04-19 Simon Foster , Kangfeng Ye , Ana Cavalcanti , Jim Woodcock

The study of quantum evolution on graphs for diversified topologies is beneficial to modeling various realistic systems. A systematic method, the dimerized decomposition, is proposed to analyze the dynamics on an arbitrary network. By…

Quantum Physics · Physics 2020-03-04 He Feng , Tian-Min Yan , Y. H. Jiang

Several graph visualization tools exist. However, they are not able to handle large graphs, and/or they do not allow interaction. We are interested on large graphs, with hundreds of thousands of nodes. Such graphs bring two challenges: the…

Social and Information Networks · Computer Science 2015-06-15 Jose Rodrigues , Hanghang Tong , Agma Traina , Christos Faloutsos , Jure Leskovec

Girard's Geometry of Interaction (GoI), a semantics designed for linear logic proofs, has been also successfully applied to programming language semantics. One way is to use abstract machines that pass a token on a fixed graph along a path…

Programming Languages · Computer Science 2017-03-30 Koko Muroya , Dan R. Ghica

Motivated by recent progress on the interplay between graph theory, dynamics, and systems theory, we revisit the analysis of chemical reaction networks described by mass action kinetics. For reaction networks possessing a thermodynamic…

Optimization and Control · Mathematics 2012-06-19 Arjan van der Schaft , Shodhan Rao , Bayu Jayawardhana

The goal of the paper is to automatize the selection of mechanisms which are able to describe a set of measurements. In order to do so first we construct a set of possible mechanism fulfilling chemically reasonable requirements with a given…

Numerical Analysis · Mathematics 2019-04-03 Tibor Nagy , János Tóth , Tamás Ladics

Quantum computing, an innovative computing system carrying prominent processing rate, is meant to be the solutions to problems in many fields. Among these realms, the most intuitive application is to help chemical researchers correctly…

Quantum Physics · Physics 2022-12-29 Qingchun Wang , Huan-Yu Liu , Qing-Song Li , Jianyu Zhao , Qiankun Gong , Ye Li , Yu-Chun Wu , Guo-Ping Guo

Given a graph $G$, a vertex switch of $v \in V(G)$ results in a new graph where neighbors of $v$ become nonneighbors and vice versa. This operation gives rise to an equivalence relation over the set of labeled digraphs on $n$ vertices. The…

Data Structures and Algorithms · Computer Science 2014-08-22 Nathan Lindzey

We explore different strategies to integrate prior domain knowledge into the design of a deep neural network (DNN). We focus on graph neural networks (GNN), with a use case of estimating the potential energy of chemical systems (molecules…

Machine Learning · Computer Science 2022-08-26 Jay Morgan , Adeline Paiement , Christian Klinke

Molecular property calculations are the bedrock of chemical physics. High-fidelity \textit{ab initio} modeling techniques for computing the molecular properties can be prohibitively expensive, and motivate the development of…

Machine Learning · Computer Science 2022-11-28 Hatem Helal , Jesun Firoz , Jenna Bilbrey , Mario Michael Krell , Tom Murray , Ang Li , Sotiris Xantheas , Sutanay Choudhury

We introduce a new distributed algorithm for aligning graphs or finding substructures within a given graph. It is based on the cavity method and is used to study the maximum-clique and the graph-alignment problems in random graphs. The…

Quantitative Methods · Quantitative Biology 2010-04-02 S. Bradde , A. Braunstein , H. Mahmoudi , F. Tria , M. Weigt , R. Zecchina

The chemical production of graphene as well as its controlled wet- chemical modification is a challenge for synthetic chemists and the characterization of reaction products requires sophisticated analytic methods. In this review we first…

Chemical Physics · Physics 2018-05-09 Siegfried Eigler , Andreas Hirsch

We describe a tool to create, edit, visualise and compute with interaction nets - a form of graph rewriting systems. The editor, called GraphPaper, allows users to create and edit graphs and their transformation rules using an intuitive…

Logic in Computer Science · Computer Science 2010-03-24 Maribel Fernández , Olivier Namet

An analogy between combinatorial chemistry and Monte Carlo computer simulation is pursued. Examples of how to design libraries for both materials discovery and protein molecular evolution are given. For materials discovery, the concept of…

Statistical Mechanics · Physics 2007-05-23 Michael W. Deem

In this paper, we present a hybrid graph-drawing algorithm (GDA) for layouting large, naturally-clustered, disconnected graphs. We called it a hybrid algorithm because it is an implementation of a series of already known graph-drawing and…

Graphics · Computer Science 2015-07-13 Toni-Jan Keith P. Monserrat , Jaderick P. Pabico , Eliezer A. Albacea
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