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Machine learning interatomic potentials, particularly those based on deep equivariant neural networks, have demonstrated state-of-the-art accuracy and computational efficiency in atomistic modeling tasks like molecular dynamics and…

The Kohn-Sham scheme of density functional theory is one of the most widely used methods to solve electronic structure problems for a vast variety of atomistic systems across different scientific fields. While the method is fast relative to…

In this paper we design and use two Deep Learning models to generate the ground and excited wavefunctions of different Hamiltonians suitable for the study the vibrations of molecular systems. The generated neural networks are trained with…

Chemical Physics · Physics 2021-11-24 Laia Domingo , Florentino Borondo

Textual network embeddings aim to learn a low-dimensional representation for every node in the network so that both the structural and textual information from the networks can be well preserved in the representations. Traditionally, the…

Social and Information Networks · Computer Science 2021-08-13 Zenan Xu , Qinliang Su , Xiaojun Quan , Weijia Zhang

We study the problem of Hamiltonian structure learning from real-time evolution: given the ability to apply $e^{-\mathrm{i} Ht}$ for an unknown local Hamiltonian $H = \sum_{a = 1}^m \lambda_a E_a$ on $n$ qubits, the goal is to recover $H$.…

Quantum Physics · Physics 2026-05-11 Ainesh Bakshi , Allen Liu , Ankur Moitra , Ewin Tang

We propose a Deep Texture Encoding Network (Deep-TEN) with a novel Encoding Layer integrated on top of convolutional layers, which ports the entire dictionary learning and encoding pipeline into a single model. Current methods build from…

Computer Vision and Pattern Recognition · Computer Science 2016-12-12 Hang Zhang , Jia Xue , Kristin Dana

Artificial intelligence, particularly the subfield of machine learning, has seen a paradigm shift towards data-driven models that learn from and adapt to data. This has resulted in unprecedented advancements in various domains such as…

Machine Learning · Computer Science 2023-10-26 Leonardo Petrini

Equivariant deep learning architectures exploit symmetries in learning problems to improve the sample efficiency of neural-network-based models and their ability to generalise. However, when modelling real-world data, learning problems are…

Machine Learning · Statistics 2024-11-12 Matthew Ashman , Cristiana Diaconu , Adrian Weller , Wessel Bruinsma , Richard E. Turner

This paper integrates deep neural networks (DNNs) into structural economic models to increase flexibility and capture rich heterogeneity while preserving interpretability. Economic structure and machine learning are complements in empirical…

Econometrics · Economics 2025-04-28 Max H. Farrell , Tengyuan Liang , Sanjog Misra

High throughput screening of materials for technologically relevant areas, like identification of better catalysts, electronic materials, ceramics for high temperature applications and drug discovery, is an emerging topic of research. To…

Chemical Physics · Physics 2020-05-04 Edgar Josué Landinez Borda , Amit Samanta

While using invariant and equivariant maps, it is possible to apply deep learning to a range of primitive data structures, a formalism for dealing with hierarchy is lacking. This is a significant issue because many practical structures are…

Machine Learning · Computer Science 2020-11-25 Renhao Wang , Marjan Albooyeh , Siamak Ravanbakhsh

The design of better exchange-correlation functionals for Density Functional Theory (DFT) is a central challenge of modern electronic structure theory. However, current developments are limited by the mathematical form of the functional,…

Chemical Physics · Physics 2024-08-19 Kyle Bystrom , Boris Kozinsky

Why depth yields a genuine computational advantage over shallow methods remains a central open question in learning theory. We study this question in a controlled high-dimensional Gaussian setting, focusing on compositional target…

Machine Learning · Statistics 2026-02-12 Hugo Tabanelli , Yatin Dandi , Luca Pesce , Florent Krzakala

The emergence of deep learning has significantly enhanced the analysis of electrocardiograms (ECGs), a non-invasive method that is essential for assessing heart health. Despite the complexity of ECG interpretation, advanced deep learning…

Machine Learning · Computer Science 2023-06-05 Zibin Zhao

Beginning from a basic neural-network architecture, we test the potential benefits offered by a range of advanced techniques for machine learning, in particular deep learning, in the context of a typical classification problem encountered…

Data Analysis, Statistics and Probability · Physics 2020-06-03 Giles Chatham Strong

Tabular data learning has extensive applications in deep learning but its existing embedding techniques are limited in numerical and categorical features such as the inability to capture complex relationships and engineering. This paper…

Machine Learning · Computer Science 2024-09-02 Yuqian Wu , Hengyi Luo , Raymond S. T. Lee

Compact neural network offers many benefits for real-world applications. However, it is usually challenging to train the compact neural networks with small parameter sizes and low computational costs to achieve the same or better model…

Machine Learning · Computer Science 2023-08-28 Shen Ren , Haosen Shi

In the present work, a machine learning based constitutive model for electro-mechanically coupled material behavior at finite deformations is proposed. Using different sets of invariants as inputs, an internal energy density is formulated…

Computational Engineering, Finance, and Science · Computer Science 2022-08-30 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

Advancements in deep learning and machine learning have improved the ability to model complex, nonlinear relationships, such as those encountered in complex material inverse problems. However, the effectiveness of these methods often…

Machine Learning · Computer Science 2025-04-10 Qinyi Tian , Winston Lindqwister , Manolis Veveakis , Laura E. Dalton

Node classification in structural networks has been proven to be useful in many real world applications. With the development of network embedding, the performance of node classification has been greatly improved. However, nearly all the…

Social and Information Networks · Computer Science 2021-04-13 Jia-Nan Guo , Xian-Ling Mao , Shu-Yang Lin , Wei Wei , Heyan Huang