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We present an elaborate framework for formally modelling pathways in chemical reaction networks on a mechanistic level. Networks are modelled mathematically as directed multi-hypergraphs, with vertices corresponding to molecules and…

Molecular Networks · Quantitative Biology 2017-12-08 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

ReLU neural networks have been modelled as constraints in mixed integer linear programming (MILP), enabling surrogate-based optimisation in various domains and efficient solution of machine learning certification problems. However, previous…

Optimization and Control · Mathematics 2023-12-05 Tom McDonald , Calvin Tsay , Artur M. Schweidtmann , Neil Yorke-Smith

In this work we apply methods for describing 3D images to the problem of encoding atomic environments in a way that is invariant to rotations, translations, and permutations of the atoms and, crucially, can be decoded back into the original…

Materials Science · Physics 2021-10-28 Martin Uhrin

A major challenge in the pharmaceutical industry is to design novel molecules with specific desired properties, especially when the property evaluation is costly. Here, we propose MNCE-RL, a graph convolutional policy network for molecular…

Machine Learning · Computer Science 2020-11-17 Chencheng Xu , Qiao Liu , Minlie Huang , Tao Jiang

Our work introduces an innovative approach to graph learning by leveraging Hyperdimensional Computing. Graphs serve as a widely embraced method for conveying information, and their utilization in learning has gained significant attention.…

Machine Learning · Computer Science 2024-03-20 Pere Verges , Igor Nunes , Mike Heddes , Tony Givargis , Alexandru Nicolau

Understanding causal relationships between variables is fundamental across scientific disciplines. Most causal discovery algorithms rely on two key assumptions: (i) all variables are observed, and (ii) the underlying causal graph is…

Machine Learning · Computer Science 2026-01-26 Muralikrishnna G. Sethuraman , Faramarz Fekri

This paper introduces the notion of involution module, the first generalization of the modular decomposition of 2-structure which has a unique linear-sized decomposition tree. We derive an O(n^2) decomposition algorithm and we take…

Discrete Mathematics · Computer Science 2013-10-04 Vincent Cohen-Addad , Michel Habib , Fabien de Montgolfier

Nowadays, the coupling of electronic structure and machine learning techniques serves as a powerful tool to predict chemical and physical properties of a broad range of systems. With the aim of improving the accuracy of predictions, a large…

Molecular property prediction is becoming one of the major applications of graph learning in Web-based services, e.g., online protein structure prediction and drug discovery. A key challenge arises in few-shot scenarios, where only a few…

Machine Learning · Computer Science 2026-01-19 Van Thuy Hoang , O-Joun Lee

Deep learning has significantly accelerated drug discovery, with 'chemical language' processing (CLP) emerging as a prominent approach. CLP learns from molecular string representations (e.g., Simplified Molecular Input Line Entry Systems…

Biomolecules · Quantitative Biology 2025-01-13 Rıza Özçelik , Francesca Grisoni

The contributions of model complexity, data volume, and feature modalities to knowledge graph-based drug repurposing remain poorly quantified under rigorous temporal validation. We constructed a pharmacology knowledge graph from ChEMBL 36…

Artificial Intelligence · Computer Science 2026-03-03 Youssef Abo-Dahab , Ruby Hernandez , Ismael Caleb Arechiga Duran

Computational modelling of materials using machine learning, ML, and historical data has become integral to materials research. The efficiency of computational modelling is strongly affected by the choice of the numerical representation for…

Graph neural networks (GNNs) demonstrate great performance in compound property and activity prediction due to their capability to efficiently learn complex molecular graph structures. However, two main limitations persist including…

Biomolecules · Quantitative Biology 2023-10-10 Apakorn Kengkanna , Masahito Ohue

Molecular property prediction (MPP) is a fundamental but challenging task in the computer-aided drug discovery process. More and more recent works employ different graph-based models for MPP, which have made considerable progress in…

Machine Learning · Computer Science 2023-12-29 Bangyi Zhao , Weixia Xu , Jihong Guan , Shuigeng Zhou

Crystal graph neural networks are widely applicable in modeling experimentally synthesized compounds and hypothetical materials with unknown synthesizability. In contrast, structure-agnostic predictive algorithms allow exploring previously…

Materials Science · Physics 2025-11-06 Ivan Rubtsov , Ivan Dudakov , Yuri Kuratov , Vadim Korolev

Recent research in molecular discovery has primarily been devoted to small, drug-like molecules, leaving many similarly important applications in material design without adequate technology. These applications often rely on more complex…

Designing molecular structures with desired chemical properties is an essential task in drug discovery and material design. However, finding molecules with the optimized desired properties is still a challenging task due to combinatorial…

Biomolecules · Quantitative Biology 2023-02-02 Masatsugu Yamada , Mahito Sugiyama

Graphs are central to the chemical sciences, providing a natural language to describe molecules, proteins, reactions, and industrial processes. They capture interactions and structures that underpin materials, biology, and medicine. This…

The use of machine learning methods for accelerating the design of crystalline materials usually requires manually constructed feature vectors or complex transformation of atom coordinates to input the crystal structure, which either…

Materials Science · Physics 2018-04-10 Tian Xie , Jeffrey C. Grossman

We study experiment design for unique identification of the causal graph of a simple SCM, where the graph may contain cycles. The presence of cycles in the structure introduces major challenges for experiment design as, unlike acyclic…

Machine Learning · Computer Science 2023-12-15 Ehsan Mokhtarian , Saber Salehkaleybar , AmirEmad Ghassami , Negar Kiyavash