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Materials exhibit geometric structures across mesoscopic to microscopic scales, influencing macroscale properties such as appearance, mechanical strength, and thermal behavior. Capturing and modeling these multiscale structures is…

Graphics · Computer Science 2025-04-15 Bojja Venu , Adam Bosak , Juan Raul Padron-Griffe

Molecular graphs generally contain subgraphs (known as groups) that are identifiable and significant in composition, functionality, geometry, etc. Flat latent representations (node embeddings or graph embeddings) fail to represent, and…

Machine Learning · Computer Science 2019-04-05 Daniel T. Chang

Molecular knowledge resides within three different modalities of information sources: molecular structures, biomedical documents, and knowledge bases. Effective incorporation of molecular knowledge from these modalities holds paramount…

Biomolecules · Quantitative Biology 2023-07-24 Yizhen Luo , Kai Yang , Massimo Hong , Xing Yi Liu , Zaiqing Nie

We explore the use of a topological manifold, represented as a collection of charts, as the target space of neural network based representation learning tasks. This is achieved by a simple adjustment to the output of an encoder's network…

Machine Learning · Computer Science 2021-06-15 Eric O. Korman

To make progress in science, we often build abstract representations of physical systems that meaningfully encode information about the systems. The representations learnt by most current machine learning techniques reflect statistical…

A molecule is a complex of heterogeneous components, and the spatial arrangements of these components determine the whole molecular properties and characteristics. With the advent of deep learning in computational chemistry, several studies…

Machine Learning · Computer Science 2021-06-15 Jeonghee Jo , Bumju Kwak , Byunghan Lee , Sungroh Yoon

Machine learning advances chemistry and materials science by enabling large-scale exploration of chemical space based on quantum chemical calculations. While these models supply fast and accurate predictions of atomistic chemical…

Chemical Physics · Physics 2019-06-25 K. T. Schütt , M. Gastegger , A. Tkatchenko , K. -R. Müller , R. J. Maurer

Proteins are fundamental biological entities mediating key roles in cellular function and disease. This paper introduces a multi-scale graph construction of a protein -- HoloProt -- connecting surface to structure and sequence. The surface…

Machine Learning · Computer Science 2022-04-06 Vignesh Ram Somnath , Charlotte Bunne , Andreas Krause

Molecule property prediction is a fundamental problem for computer-aided drug discovery and materials science. Quantum-chemical simulations such as density functional theory (DFT) have been widely used for calculating the molecule…

Machine Learning · Computer Science 2019-11-26 Hiroyuki Shindo , Yuji Matsumoto

Machine Learning algorithms have had a profound impact on the field of computer science over the past few decades. These algorithms performance is greatly influenced by the representations that are derived from the data in the learning…

How to represent a face pattern? While it is presented in a continuous way in our visual system, computers often store and process the face image in a discrete manner with 2D arrays of pixels. In this study, we attempt to learn a continuous…

Computer Vision and Pattern Recognition · Computer Science 2024-03-20 Liping Zhang , Weijun Li , Linjun Sun , Lina Yu , Xin Ning , Xiaoli Dong , Jian Xu , Hong Qin

A complex network is a condensed representation of the relational topological framework of a complex system. A main reason for the existence of such networks is the transmission of items through the entities of these complex systems. Here,…

Physics and Society · Physics 2018-04-18 María Pereda , Ernesto Estrada

Modeling and rendering of dynamic scenes is challenging, as natural scenes often contain complex phenomena such as thin structures, evolving topology, translucency, scattering, occlusion, and biological motion. Mesh-based reconstruction and…

Graphics · Computer Science 2019-08-14 Stephen Lombardi , Tomas Simon , Jason Saragih , Gabriel Schwartz , Andreas Lehrmann , Yaser Sheikh

Molecular "fingerprints" encoding structural information are the workhorse of cheminformatics and machine learning in drug discovery applications. However, fingerprint representations necessarily emphasize particular aspects of the…

Machine Learning · Statistics 2016-08-26 Steven Kearnes , Kevin McCloskey , Marc Berndl , Vijay Pande , Patrick Riley

Molecular evolution is the process of simulating the natural evolution of molecules in chemical space to explore potential molecular structures and properties. The relationships between similar molecules are often described through…

Biomolecules · Quantitative Biology 2025-01-28 Kun Li , Longtao Hu , Xiantao Cai , Jia Wu , Wenbin Hu

Capsule networks aim to parse images into a hierarchy of objects, parts and relations. While promising, they remain limited by an inability to learn effective low level part descriptions. To address this issue we propose a way to learn…

Computer Vision and Pattern Recognition · Computer Science 2021-02-22 Sara Sabour , Andrea Tagliasacchi , Soroosh Yazdani , Geoffrey E. Hinton , David J. Fleet

Predicting the structure of multi-protein complexes is a grand challenge in biochemistry, with major implications for basic science and drug discovery. Computational structure prediction methods generally leverage pre-defined structural…

Biomolecules · Quantitative Biology 2021-01-26 Stephan Eismann , Raphael J. L. Townshend , Nathaniel Thomas , Milind Jagota , Bowen Jing , Ron O. Dror

Symmetric functions, which take as input an unordered, fixed-size set, are known to be universally representable by neural networks that enforce permutation invariance. These architectures only give guarantees for fixed input sizes, yet in…

Machine Learning · Computer Science 2022-10-11 Aaron Zweig , Joan Bruna

Representation learning is the foundation for the recent success of neural network models. However, the distributed representations generated by neural networks are far from ideal. Due to their highly entangled nature, they are di cult to…

Machine Learning · Computer Science 2016-02-09 William Whitney

Machine Learning tools are nowadays widely applied extensively to the prediction of the properties of molecular materials, using datasets extracted from high-throughput computational models. In several cases of scientific and technological…

Materials Science · Physics 2021-02-10 Fabio Le Piane , Matteo Baldoni , Francesco Mercuri