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Autonomous computations that rely on automated reaction network elucidation algorithms may pave the way to make computational catalysis on a par with experimental research in the field. Several advantages of this approach are key to…

材料科学 · 物理学 2022-03-18 Miguel Steiner , Markus Reiher

In many applications, it is necessary to retrieve pairs of vertices with the path between them satisfying certain constraints, since regular expression is a powerful tool to describe patterns of a sequence. To meet such requirements, in…

数据库 · 计算机科学 2019-04-29 Hongzhi Wang , Jiabao Han , Bin Shao , Jianzhong Li

In transport theory, physical phenomena are well described using the Boltzmann equation, which is efficiently simulated and discretized with the lattice Boltzmann method. The collision step defines the microscopic molecules behavior, and…

流体动力学 · 物理学 2025-11-20 Julius Weinmiller , Benjamin Kellers , Martin P. Lautenschlaeger , Timo Danner , Arnulf Latz

Deep generative models have achieved remarkable success in various data domains, including images, time series, and natural languages. There remain, however, substantial challenges for combinatorial structures, including graphs. One of the…

机器学习 · 计算机科学 2018-09-21 Tengfei Ma , Jie Chen , Cao Xiao

Predicting reactants from a specified core product stands as a fundamental challenge within organic synthesis, termed retrosynthesis prediction. Recently, semi-template-based methods and graph-edits-based methods have achieved good…

定量方法 · 定量生物学 2024-02-13 Zixun Lan , Binjie Hong , Jiajun Zhu , Zuo Zeng , Zhenfu Liu , Limin Yu , Fei Ma

A major current challenge poses the systematic construction of coarse-grained models that are dynamically consistent, and, moreover, might be used for systems driven out of thermal equilibrium. Here we present a novel prescription that…

统计力学 · 物理学 2016-08-05 Fabian Knoch , Thomas Speck

In many scientific fields, there is an interest in understanding the way in which complex chemical networks evolve. The chemical networks which researchers focus upon, have become increasingly complex and this has motivated the development…

Reduction of detailed chemical reaction mechanisms is one of the key methods for mitigating the computational cost of reactive flow simulations. Exploitation of species and elementary reaction sparsity ensures the compactness of the reduced…

化学物理 · 物理学 2024-10-15 Shen Fang , Siyi Zhang , Zeyu Li , Qingfei Fu , Chong-Wen Zhou , Wang Hana , Lijun Yang

Reliably predicting the products of chemical reactions presents a fundamental challenge in synthetic chemistry. Existing machine learning approaches typically produce a reaction product by sequentially forming its subparts or intermediate…

化学物理 · 物理学 2021-06-16 Hangrui Bi , Hengyi Wang , Chence Shi , Connor Coley , Jian Tang , Hongyu Guo

Deep generative models for graph-structured data offer a new angle on the problem of chemical synthesis: by optimizing differentiable models that directly generate molecular graphs, it is possible to side-step expensive search procedures in…

机器学习 · 统计学 2022-09-28 Nicola De Cao , Thomas Kipf

In quantum electrodynamics, optical processes are theoretically described by double-sided Feynman diagrams. This formalism is powerful in the case of molecules but proves inappropriate to account for light-matter interactions within complex…

光学 · 物理学 2019-06-10 T. Noblet , C. Humbert

We address a fundamental problem in chemistry known as chemical reaction product prediction. Our main insight is that the input reactant and reagent molecules can be jointly represented as a graph, and the process of generating product…

神经与进化计算 · 计算机科学 2018-12-27 Kien Do , Truyen Tran , Svetha Venkatesh

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…

化学物理 · 物理学 2023-04-14 Moritz Bensberg , Markus Reiher

In this paper we discuss the question of how to decide when a general chemical reaction system is incapable of admitting multiple equilibria, regardless of parameter values such as reaction rate constants, and regardless of the type of…

动力系统 · 数学 2009-07-17 Murad Banaji , Gheorghe Craciun

A mathematical model for chemical reactions in electrolytes is developed using an Energy variational method consistent with classical thermodynamics. Electrostatics and chemical reactions are included in properly defined energetic and…

化学物理 · 物理学 2022-07-08 Shixin Xu , Robert Eisenberg , Zilong Song , Huaxiong Huang

As computational chemistry methods evolve, dynamic effects have been increasingly recognized to govern chemical reaction pathways in both organic and inorganic systems. Here, we introduce a committor-based workflow that integrates a…

统计力学 · 物理学 2025-12-01 Radu A. Talmazan , Christophe Chipot

Constructing complex computation from simpler building blocks is a defining problem of computer science. In algebraic automata theory, we represent computing devices as semigroups. Accordingly, we use mathematical tools like products and…

群论 · 数学 2025-05-06 Attila Egri-Nagy , Chrystopher L. Nehaniv

In this paper, we introduce a new approach for drawing diagrams that have applications in software visualization. Our approach is to use a technique we call confluent drawing for visualizing non-planar diagrams in a planar way. This…

计算几何 · 计算机科学 2007-05-23 Matthew Dickerson , David Eppstein , Michael T. Goodrich , Jeremy Meng

Chemical systems are traditionally described by lists of species, reactions, and externally imposed kinetic laws, a framework that lacks an intrinsic algebraic structure governing how transformations compose. We propose an axiomatic…

Molecular optimization, which transforms a given input molecule X into another Y with desirable properties, is essential in molecular drug discovery. The traditional translating approaches, generating the molecular graphs from scratch by…

机器学习 · 计算机科学 2020-08-17 Chaojie Ji , Yijia Zheng , Ruxin Wang , Yunpeng Cai , Hongyan Wu