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A long-term research proposal on the algebraic structure, the representations and the possible applications of paraparticle algebras is structured in three modules: The first part stems from an attempt to classify the inequivalent gradings…

Mathematical Physics · Physics 2012-10-09 Konstantinos Kanakoglou

Many processes in biology and drug discovery involve various 3D interactions between molecules, such as protein and protein, protein and small molecule, etc. Given that different molecules are usually represented in different granularity,…

Machine Learning · Computer Science 2024-05-31 Xiangzhe Kong , Wenbing Huang , Yang Liu

Pretrained vision-and-language BERTs aim to learn representations that combine information from both modalities. We propose a diagnostic method based on cross-modal input ablation to assess the extent to which these models actually…

Computation and Language · Computer Science 2021-09-10 Stella Frank , Emanuele Bugliarello , Desmond Elliott

We consider feature representation learning problem of molecular graphs. Graph Neural Networks have been widely used in feature representation learning of molecular graphs. However, most existing methods deal with molecular graphs…

Machine Learning · Computer Science 2022-06-08 Zhaoning Yu , Hongyang Gao

Encoding the electronic structure of molecules using 2-electron reduced density matrices (2RDMs) as opposed to many-body wave functions has been a decades-long quest as the 2RDM contains sufficient information to compute the exact molecular…

Chemical Physics · Physics 2022-08-11 David Pekker , Chungwen Liang , Sankha Pattanayak , Swagatam Mukhopadhyay

Deep generative models have recently been applied to molecule design. If the molecules are encoded in linear SMILES strings, modeling becomes convenient. However, models relying on string representations tend to generate invalid samples and…

Machine Learning · Computer Science 2020-10-20 Bo Pang , Tian Han , Ying Nian Wu

How to produce expressive molecular representations is a fundamental challenge in AI-driven drug discovery. Graph neural network (GNN) has emerged as a powerful technique for modeling molecular data. However, previous supervised approaches…

Machine Learning · Computer Science 2020-12-22 Pengyong Li , Jun Wang , Yixuan Qiao , Hao Chen , Yihuan Yu , Xiaojun Yao , Peng Gao , Guotong Xie , Sen Song

The combination of modern scientific computing with electronic structure theory can lead to an unprecedented amount of data amenable to intelligent data analysis for the identification of meaningful, novel, and predictive structure-property…

Neural machine translation (NMT) models are typically trained with fixed-size input and output vocabularies, which creates an important bottleneck on their accuracy and generalization capability. As a solution, various studies proposed…

Computation and Language · Computer Science 2018-05-08 Duygu Ataman , Marcello Federico

Architectures for sparse hierarchical representation learning have recently been proposed for graph-structured data, but so far assume the absence of edge features in the graph. We close this gap and propose a method to pool graphs with…

Molecular representation learning has become a central approach in AI-driven drug discovery, yet existing molecular tokenizations such as SMILES remain largely syntactic and do not naturally align with chemically meaningful substructures.…

Machine Learning · Computer Science 2026-05-19 Takayuki Kimura

A Gelfand model for a semisimple algebra A over C is a complex linear representation that contains each irreducible representation of A with multiplicity exactly one. We give a method of constructing these models that works uniformly for a…

Representation Theory · Mathematics 2014-05-28 Tom Halverson , Mike Reeks

Multi-omics data analysis has the potential to discover hidden molecular interactions, revealing potential regulatory and/or signal transduction pathways for cellular processes of interest when studying life and disease systems. One of…

Quantitative Methods · Quantitative Biology 2022-03-18 Arman Hasanzadeh , Ehsan Hajiramezanali , Nick Duffield , Xiaoning Qian

Mixed Integer Linear Programs (MILPs) are highly flexible and powerful tools for modeling and solving complex real-world combinatorial optimization problems. Recently, machine learning (ML)-guided approaches have demonstrated significant…

Artificial Intelligence · Computer Science 2025-06-13 Junyang Cai , Taoan Huang , Bistra Dilkina

We first establish several general properties of modality of algebraic group actions. In particular, we introduce the notion of a modality-regular action and prove that every visible action is modality-regular. Then, using these results, we…

Representation Theory · Mathematics 2017-07-26 Vladimir L. Popov

Modeling the relationship between chemical structure and molecular activity is a key goal in drug development. Many benchmark tasks have been proposed for molecular property prediction, but these tasks are generally aimed at specific,…

Quantitative Methods · Quantitative Biology 2020-10-05 Samuel G. Finlayson , Matthew B. A. McDermott , Alex V. Pickering , Scott L. Lipnick , Isaac S. Kohane

First-order logic is a natural way of expressing properties of computation. It is traditionally used in various program logics for expressing the correctness properties and certificates. Although such representations are expressive for some…

Programming Languages · Computer Science 2021-04-15 Yurii Kostyukov , Dmitry Mordvinov , Grigory Fedyukovich

Identifying changes in a pair of 3D aerial LiDAR point clouds, obtained during two distinct time periods over the same geographic region presents a significant challenge due to the disparities in spatial coverage and the presence of noise…

Computer Vision and Pattern Recognition · Computer Science 2023-08-31 Peter Naylor , Diego Di Carlo , Arianna Traviglia , Makoto Yamada , Marco Fiorucci

Along with the proliferation of digital data collected using sensor technologies and a boost of computing power, Deep Learning (DL) based approaches have drawn enormous attention in the past decade due to their impressive performance in…

Machine Learning · Computer Science 2022-03-15 Tong Owen Yang

Neural implicit surface representations have recently emerged as popular alternative to explicit 3D object encodings, such as polygonal meshes, tabulated points, or voxels. While significant work has improved the geometric fidelity of these…

Graphics · Computer Science 2023-06-27 Yanran Guan , Andrei Chubarau , Ruby Rao , Derek Nowrouzezahrai
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