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Related papers: Cycle-Configuration: A Novel Graph-theoretic Descr…

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To be able to predict a molecular graph structure ($W$) given a 2D image of a chemical compound ($U$) is a challenging problem in machine learning. We are interested to learn $f: U \rightarrow W$ where we have a fully mediating…

Machine Learning · Computer Science 2022-01-13 Martijn Oldenhof , Adam Arany , Yves Moreau , Jaak Simm

In this paper, we propose a new mixed-integer linear programming (MILP) model ontology and a novel constraint typology of MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life…

Artificial Intelligence · Computer Science 2021-03-02 Bahadorreza Ofoghi , Vicky Mak , John Yearwood

Chemical graphs are simple undirected connected graphs, where vertices represent atoms in a molecule and edges represent chemical bonds. A degree-based topological index is a molecular descriptor used to study specific physicochemical…

Background: Virtual Screening (VS) has become an essential tool in drug discovery, enabling the rapid and cost-effective identification of potential bioactive molecules. Among recent advancements, Graph Neural Networks (GNNs) have gained…

Quantitative Methods · Quantitative Biology 2025-10-27 Salvatore Contino , Paolo Sortino , Maria Rita Gulotta , Ugo Perricone , Roberto Pirrone

Learning the dependence structure among variables in complex systems is a central problem across medical, natural, and social sciences. These structures can be naturally represented by graphs, and the task of inferring such graphs from data…

Methodology · Statistics 2026-04-02 Lucas Kook , Søren Wengel Mogensen

Graph transformation approaches have been successfully used to analyse and design chemical and biological systems. Here we build on top of a DPO framework, in which molecules are modelled as typed attributed graphs and chemical reactions…

Logic in Computer Science · Computer Science 2019-11-04 Jakob Lykke Andersen , Marc Hellmuth , Daniel Merkle , Nikolai Nøjgaard , Marco Peressotti

Graph Machine Learning (GML) is receiving growing interest within the pharmaceutical and biotechnology industries for its ability to model biomolecular structures, the functional relationships between them, and integrate multi-omic datasets…

Advances in graph machine learning (ML) have been driven by applications in chemistry as graphs have remained the most expressive representations of molecules. While early graph ML methods focused primarily on small organic molecules,…

Multi-Instance Learning(MIL) aims to learn the mapping between a bag of instances and the bag-level label. Therefore, the relationships among instances are very important for learning the mapping. In this paper, we propose an MIL algorithm…

Machine Learning · Computer Science 2021-02-04 Yangling Ma , Zhouwang Yang

Chemists in search of structure-property relationships face great challenges due to limited high quality, concordant datasets. Machine learning (ML) has significantly advanced predictive capabilities in chemical sciences, but these modern…

Machine Learning · Computer Science 2025-09-18 Yulia Pimonova , Michael G. Taylor , Alice Allen , Ping Yang , Nicholas Lubbers

The graph neural network (GNN) has been a powerful deep-learning tool in chemistry domain, due to its close connection with molecular graphs. Most GNN models collect and update atom and molecule features from the fed atom (and, in some…

Chemical Physics · Physics 2022-03-18 Yeji Kim , Yoonho Jeong , Jihoo Kim , Eok Kyun Lee , Won June Kim , Insung S. Choi

The design of online algorithms for matching markets and revenue management settings is usually bound by the assumption that the demand process is formed by a fixed-length sequence of queries with unknown types, each drawn independently.…

Data Structures and Algorithms · Computer Science 2026-05-15 Ali Aouad , Will Ma

We introduce a class of linear compartmental models called identifiable path/cycle models which have the property that all of the monomial functions of parameters associated to the directed cycles and paths from input compartments to output…

Algebraic Geometry · Mathematics 2021-09-01 Cashous Bortner , Nicolette Meshkat

We introduce a mixed-integer linear programming (MILP) framework capable of determining whether a chemical reaction network possesses the property of being endotactic or strongly endotactic. The network property of being strongly endotactic…

Numerical Analysis · Mathematics 2014-12-16 Matthew D. Johnston , Casian Pantea , Pete Donnell

We have applied the graph theory to estimation of interactions between electronic excitations in molecular crystals. Intramolecular and intermolecular excitations have been considered. The intermolecular interactions contain molecular…

Chemical Physics · Physics 2015-01-20 Hiroya Nitta , Isao Kawata

Conformal inference is a method that provides prediction sets for machine learning models, operating independently of the underlying distributional assumptions and relying solely on the exchangeability of training and test data. Despite its…

Methodology · Statistics 2025-10-01 Daniela Corbetta , Livio Finos , Ludwig Geistlinger , Davide Risso

We describe a family $\textrm{Cyc}_p(\mathcal{F})$ of marked cycle curves that parameterize the cycles of period $p$ of a given family $\mathcal{F}$ of dynamical systems. We produce algorithms to compute a canonical cell decomposition for…

Dynamical Systems · Mathematics 2024-10-29 Caroline Davis , Malavika Mukundan , Danny Stoll , Giulio Tiozzo

Trustworthy decision making in networked, dynamic environments calls for innovative uncertainty quantification substrates in predictive models for graph time series. Existing conformal prediction (CP) methods have been applied separately to…

Machine Learning · Computer Science 2025-10-14 Sonakshi Dua , Gonzalo Mateos , Sundeep Prabhakar Chepuri

Many computational chemistry and molecular simulation workflows can be expressed as graphs. This abstraction is useful to modularize and potentially reuse existing components, as well as provide parallelization and ease reproducibility.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-05 Thomas Löhr , Michele Assante , Michael Dodds , Lili Cao , Mikhail Kabeshov , Jon-Paul Janet , Marco Klähn , Ola Engkvist

A major impediment to successful drug development is the complexity, cost, and scale of clinical trials. The detailed internal structure of clinical trial data can make conventional optimization difficult to achieve. Recent advances in…