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We propose a nonlinear manifold learning technique based on deep convolutional autoencoders that is appropriate for model order reduction of physical systems in complex geometries. Convolutional neural networks have proven to be highly…

Computational Physics · Physics 2021-07-19 John Tencer , Kevin Potter

Tabular data in knowledge-rich domains often carries a latent prior in the form of Boolean implication relationships (BIRs) between pairs of features. We mine such relationships with a sparse-exception binomial test. The mined implications…

Machine Learning · Computer Science 2026-05-28 Tirtharaj Dash

Autoregressive models (ARMs) have become the workhorse for sequence generation tasks, since many problems can be modeled as next-token prediction. While there appears to be a natural ordering for text (i.e., left-to-right), for many data…

Machine Learning · Computer Science 2025-07-15 Zhe Wang , Jiaxin Shi , Nicolas Heess , Arthur Gretton , Michalis K. Titsias

Predicting and enhancing inherent properties based on molecular structures is paramount to design tasks in medicine, materials science, and environmental management. Most of the current machine learning and deep learning approaches have…

Machine Learning · Computer Science 2024-04-08 Zachary R. Fox , Ayana Ghosh

Neural methods of molecule property prediction require efficient encoding of structure and property relationship to be accurate. Recent work using graph algorithms shows limited generalization in the latent molecule encoding space. We build…

Quantitative Methods · Quantitative Biology 2020-11-26 Prateeth Nayak , Andrew Silberfarb , Ran Chen , Tulay Muezzinoglu , John Byrnes

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

Machine Learning · Computer Science 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

The ability of deep neural networks to learn complex data relations and representations is established nowadays, but it generally relies on large sets of training data. This work explores a "piece-specific" autoencoding scheme, in which a…

Sound · Computer Science 2022-03-09 Axel Marmoret , Jérémy E. Cohen , Frédéric Bimbot

A molecule's geometry, also known as conformation, is one of a molecule's most important properties, determining the reactions it participates in, the bonds it forms, and the interactions it has with other molecules. Conventional…

Machine Learning · Computer Science 2020-01-01 Elman Mansimov , Omar Mahmood , Seokho Kang , Kyunghyun Cho

Machine learning frameworks such as graph neural networks typically rely on a given, fixed graph to exploit relational inductive biases and thus effectively learn from network data. However, when said graphs are (partially) unobserved,…

Machine Learning · Computer Science 2022-05-20 Max Wasserman , Saurabh Sihag , Gonzalo Mateos , Alejandro Ribeiro

The search for new high-performance organic semiconducting molecules is challenging due to the vastness of the chemical space, machine learning methods, particularly deep learning models like graph neural networks (GNNs), have shown…

Chemical Physics · Physics 2021-12-06 Zaixi Zhang , Qi Liu , Shengyu Zhang , Chang-Yu Hsieh , Liang Shi , Chee-Kong Lee

The study of structure-spectrum relationships is essential for spectral interpretation, impacting structural elucidation and material design. Predicting spectra from molecular structures is challenging due to their complex relationships.…

Computational Physics · Physics 2024-08-29 Fanjie Xu , Wentao Guo , Feng Wang , Lin Yao , Hongshuai Wang , Fujie Tang , Zhifeng Gao , Linfeng Zhang , Weinan E , Zhong-Qun Tian , Jun Cheng

Designing molecules with specific properties is a long-lasting research problem and is central to advancing crucial domains such as drug discovery and material science. Recent advances in deep graph generative models treat molecule design…

Machine Learning · Computer Science 2022-03-02 Yuanqi Du , Xiaojie Guo , Amarda Shehu , Liang Zhao

Predicting missing links between entities in a knowledge graph is a fundamental task to deal with the incompleteness of data on the Web. Knowledge graph embeddings map nodes into a vector space to predict new links, scoring them according…

Artificial Intelligence · Computer Science 2023-02-14 Cosimo Gregucci , Mojtaba Nayyeri , Daniel Hernández , Steffen Staab

Graphs serve as fundamental descriptors for systems composed of interacting elements, capturing a wide array of data types, from molecular interactions to social networks and knowledge graphs. In this paper, we present an exhaustive review…

Machine Learning · Computer Science 2024-11-13 Chenqing Hua

Knotted molecules occur naturally and are designed by scientists to gain special biological and material properties. Understanding and utilizing knotting require efficient methods to recognize and generate knotted structures, which are…

Computational Physics · Physics 2025-01-23 Zhiyu Zhang , Yongjian Zhu , Liang Dai

Starting from the hypothesis that both physics, in particular space-time and the physical vacuum, and the corresponding mathematics are discrete on the Planck scale we develop a certain framework in form of a class of ' cellular networks'…

High Energy Physics - Theory · Physics 2016-09-06 Manfred Requardt

The prosperity of computer vision (CV) and natural language procession (NLP) in recent years has spurred the development of deep learning in many other domains. The advancement in machine learning provides us with an alternative option…

Machine Learning · Computer Science 2020-12-02 Chen Qian , Yunhai Xiong , Xiang Chen

The goal of structure-based drug discovery is to find small molecules that bind to a given target protein. Deep learning has been used to generate drug-like molecules with certain cheminformatic properties, but has not yet been applied to…

Quantitative Methods · Quantitative Biology 2022-01-27 Matthew Ragoza , Tomohide Masuda , David Ryan Koes

Un-trained convolutional neural networks have emerged as highly successful tools for image recovery and restoration. They are capable of solving standard inverse problems such as denoising and compressive sensing with excellent results by…

Machine Learning · Computer Science 2020-05-11 Reinhard Heckel , Mahdi Soltanolkotabi

Transformer-based autoregressive models offer an efficient alternative to diffusion- and flow-matching-based approaches for generating 3D molecules. One challenge remains: standard transformer architectures require a sequential ordering of…

Machine Learning · Computer Science 2026-05-07 Daniel Rose , Roxane Axel Jacob , Johannes Kirchmair , Thierry Langer