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In this paper we present a generating function approach to two counting problems in elementary quantum mechanics. The first is to find the total ways of distributing identical particles among different states. The second is to find the…

General Physics · Physics 2007-11-20 Li Han

Assessing generative models is not an easy task. Generative models should synthesize graphs which are not replicates of real networks but show topological features similar to real graphs. We introduce an approach for assessing graph…

Machine Learning · Computer Science 2018-09-06 Vahid Mostofi , Sadegh Aliakbary

In drug discovery, knowledge of the graph structure of chemical compounds is essential. Many thousands of scientific articles in chemistry and pharmaceutical sciences have investigated chemical compounds, but in cases the details of the…

Machine Learning · Statistics 2020-09-16 Martijn Oldenhof , Adam Arany , Yves Moreau , Jaak Simm

The near-infinite chemical diversity of natural and artificial macromolecules arises from the vast range of possible component monomers, linkages, and polymers topologies. This enormous variety contributes to the ubiquity and…

Machine Learning · Computer Science 2021-08-25 Somesh Mohapatra , Joyce An , Rafael Gómez-Bombarelli

Designing a network to learn a molecule structure given its physical/chemical properties is a hard problem, but is useful for drug discovery tasks. In this paper, we incorporate higher-order relational learning of Factor Graphs with strong…

Machine Learning · Computer Science 2020-12-11 Hieu Le Trung , Yiqing Xu , Wee Sun Lee

The design and synthesis of complex and large mimicked biochemical networks de novo is an unsolved problem in synthetic biology. To address this limitation without resorting to ad hoc computations and experiments, a predictive mathematical…

Biological Physics · Physics 2015-01-21 Eisuke Chikayama , R. Craig Everroad

Graph neural networks have recently become a standard method for analysing chemical compounds. In the field of molecular property prediction, the emphasis is now put on designing new model architectures, and the importance of atom…

Chemical Physics · Physics 2021-02-15 Agnieszka Pocha , Tomasz Danel , Łukasz Maziarka

Designing a neural network architecture for molecular representation is crucial for AI-driven drug discovery and molecule design. In this work, we propose a new framework for molecular representation learning. Our contribution is threefold:…

Machine Learning · Computer Science 2022-10-18 Jiye Kim , Seungbeom Lee , Dongwoo Kim , Sungsoo Ahn , Jaesik Park

Molecule generation is a challenging open problem in cheminformatics. Currently, deep generative approaches addressing the challenge belong to two broad categories, differing in how molecules are represented. One approach encodes molecular…

Machine Learning · Statistics 2020-11-02 Marco Podda , Davide Bacciu , Alessio Micheli

The automatic analysis of chemical literature has immense potential to accelerate the discovery of new materials and drugs. Much of the critical information in patent documents and scientific articles is contained in figures, depicting the…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Lucas Morin , Martin Danelljan , Maria Isabel Agea , Ahmed Nassar , Valery Weber , Ingmar Meijer , Peter Staar , Fisher Yu

Here, we demonstrate how machine learning enables the prediction of comonomers reactivity ratios based on the molecular structure of monomers. We combined multi-task learning, multi-inputs, and Graph Attention Network to build a model…

Machine Learning · Computer Science 2023-01-04 Tung Nguyen , Mona Bavarian

Machine learning, particularly graph learning, is gaining increasing recognition for its transformative impact across various fields. One such promising application is in the realm of molecule design and discovery, notably within the…

Machine Learning · Computer Science 2024-01-10 Nianzu Yang , Huaijin Wu , Kaipeng Zeng , Yang Li , Junchi Yan

The difficulty of simulating quantum systems, well-known to quantum chemists, prompted the idea of quantum computation. One can avoid the steep scaling associated with the exact simulation of increasingly large quantum systems on…

Unlabeled multigraphs have diverse applications across scientific fields, from transportation and social networks to polymer physics. In particular, multigraphs are essential for studying the relationship between the spatial organization…

Soft Condensed Matter · Physics 2026-01-21 Andrea Bonato

This series presents an approach to mathematical biology which makes precise the function of biological molecules. Because biological systems compute, the theory is a general purpose computer language. I build a language for efficiently…

Molecular Networks · Quantitative Biology 2007-05-23 Ron Maimon

We present a novel approach to tackle explainability of deep graph networks in the context of molecule property prediction tasks, named MEG (Molecular Explanation Generator). We generate informative counterfactual explanations for a…

Quantitative Methods · Quantitative Biology 2020-11-11 Danilo Numeroso , Davide Bacciu

The recent surge in Generative Artificial Intelligence (AI) has introduced exciting possibilities for computational chemistry. Generative AI methods have made significant progress in sampling molecular structures across chemical species,…

Statistical Mechanics · Physics 2024-09-06 Pratyush Tiwary , Lukas Herron , Richard John , Suemin Lee , Disha Sanwal , Ruiyu Wang

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

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

Graph neural networks (GNNs) have been used extensively for addressing problems in drug design and discovery. Both ligand and target molecules are represented as graphs with node and edge features encoding information about atomic elements…

Machine Learning · Computer Science 2021-10-14 Dhananjay Bhaskar , Jackson D. Grady , Michael A. Perlmutter , Smita Krishnaswamy