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Many recent efforts have been devoted to designing sophisticated deep learning structures, obtaining revolutionary results on benchmark datasets. The success of these deep learning methods mostly relies on an enormous volume of labeled…

Computer Vision and Pattern Recognition · Computer Science 2015-10-20 Jiaji Huang , Qiang Qiu , Robert Calderbank , Guillermo Sapiro

Procuring expressive molecular representations underpins AI-driven molecule design and scientific discovery. The research mainly focuses on atom-level homogeneous molecular graphs, ignoring the rich information in subgraphs or motifs.…

Quantitative Methods · Quantitative Biology 2023-01-10 Fang Wu , Dragomir Radev , Stan Z. Li

Diffusion-based generative models have reformed generative AI, and also enabled new capabilities in the science domain, e.g., fast generation of 3D structures of molecules. In such tasks, there is often a symmetry in the system, identifying…

Machine Learning · Computer Science 2026-05-15 Yixian Xu , Yusong Wang , Shengjie Luo , Kaiyuan Gao , Tianyu He , Di He , Chang Liu

The shape of a molecule determines its physicochemical and biological properties. However, it is often underrepresented in standard molecular representation learning approaches. Here, we propose using the Euler Characteristic Transform…

Machine Learning · Computer Science 2025-07-08 Victor Toscano-Duran , Florian Rottach , Bastian Rieck

Machine learning techniques are essential tools to compute efficient, yet accurate, force fields for atomistic simulations. This approach has recently been extended to incorporate quantum computational methods, making use of variational…

Self-supervised neural language models have recently found wide applications in generative design of organic molecules and protein sequences as well as representation learning for downstream structure classification and functional…

Materials Science · Physics 2022-09-21 Lai Wei , Nihang Fu , Yuqi Song , Qian Wang , Jianjun Hu

Geometric Graph Neural Networks (GNNs) and Transformers have become state-of-the-art for learning from 3D protein structures. However, their reliance on message passing prevents them from capturing the hierarchical interactions that govern…

Machine Learning · Computer Science 2025-12-09 Chang Liu , Vivian Li , Linus Leong , Vladimir Radenkovic , Pietro Liò , Chaitanya K. Joshi

Molecule generation is a very important practical problem, with uses in drug discovery and material design, and AI methods promise to provide useful solutions. However, existing methods for molecule generation focus either on 2D graph…

Machine Learning · Computer Science 2024-02-07 Chenqing Hua , Sitao Luan , Minkai Xu , Rex Ying , Jie Fu , Stefano Ermon , Doina Precup

In remote sensing there exists a common need for learning scale invariant shapes of objects like buildings. Prior works relies on tweaking multiple loss functions to convert segmentation maps into the final scale invariant representation,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Maxim Khomiakov , Michael Riis Andersen , Jes Frellsen

Models based on machine learning can enable accurate and fast molecular property predictions, which is of interest in drug discovery and material design. Various supervised machine learning models have demonstrated promising performance,…

Machine Learning · Computer Science 2022-12-15 Jerret Ross , Brian Belgodere , Vijil Chenthamarakshan , Inkit Padhi , Youssef Mroueh , Payel Das

Molecular sciences address a wide range of problems involving molecules of different types and sizes and their complexes. Recently, geometric deep learning, especially Graph Neural Networks, has shown promising performance in molecular…

Machine Learning · Computer Science 2023-11-21 Shuo Zhang , Yang Liu , Lei Xie

The classic paradigm of structural biology is that the sequence of a biomolecule (protein, nucleic acid, lipid, etc) determines its conformation (shape) which determines its biological function. Protein folding programs like AlphaFold…

Biomolecules · Quantitative Biology 2026-05-05 Alessio Valentini , David Pekker , Chungwen Liang , Todd Martinez , Swagatam Mukhopadhyay

Establishing the relationship between 3D structures and the energy states of molecular systems has proven to be a promising approach for learning 3D molecular representations. However, existing methods are limited to modeling the molecular…

Machine Learning · Computer Science 2025-02-27 Liang Wang , Shaozhen Liu , Yu Rong , Deli Zhao , Qiang Liu , Shu Wu , Liang Wang

Coarse-graining (CG) of molecular simulations simplifies the particle representation by grouping selected atoms into pseudo-beads and drastically accelerates simulation. However, such CG procedure induces information losses, which makes…

Machine Learning · Computer Science 2022-06-20 Wujie Wang , Minkai Xu , Chen Cai , Benjamin Kurt Miller , Tess Smidt , Yusu Wang , Jian Tang , Rafael Gómez-Bombarelli

Since its foundations, more than one hundred years ago, the field of structural biology has strived to understand and analyze the properties of molecules and their interactions by studying the structure that they take in 3D space. However,…

Biomolecules · Quantitative Biology 2023-02-27 Gabriele Corso

In hierarchal order of molecular geometry, we compare the performances of Geometric Quantum Machine Learning models. Two molecular datasets are considered: the simplistic linear shaped LiH-molecule and the trigonal pyramidal molecule NH3.…

Machine Learning · Computer Science 2025-12-08 Saumya Biswas , Jiten Oswal

Predicting molecular conformations from molecular graphs is a fundamental problem in cheminformatics and drug discovery. Recently, significant progress has been achieved with machine learning approaches, especially with deep generative…

Machine Learning · Computer Science 2022-03-16 Minkai Xu , Lantao Yu , Yang Song , Chence Shi , Stefano Ermon , Jian Tang

Ground motion prediction (GMP) models are critical for hazard reduction before, during and after destructive earthquakes. In these three stages, intensity forecasting, early warning and interpolation models are corresponding employed to…

Geophysics · Physics 2024-12-03 Yitian Feng , Weiqiang Zhu , Xinzheng Lu

Molecular representations fundamentally shape how machine learning systems reason about molecular structure and physical properties. Most existing approaches adopt a discrete pipeline: molecules are encoded as sequences, graphs, or point…

Recent work in deep learning has opened new possibilities for solving classical algorithmic tasks using end-to-end learned models. In this work, we investigate the fundamental task of solving linear systems, particularly those that are…

Machine Learning · Computer Science 2025-11-19 Pietro Sittoni , Francesco Tudisco