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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

We present \textsc{dm-PhiSNet}, a physically constrained \textsc{PhiSNet}-based equivariant model that predicts one-electron reduced density matrices (1-RDMs) directly from molecular geometries in an atomic-orbital (AO) basis for…

Chemical Physics · Physics 2026-05-01 Zuriel Y. Yescas-Ramos , Andrés Álvarez-García , Huziel E. Sauceda

Density-functional theory is a formally exact description of a many-body quantum system in terms of its density; in practice, however, approximations to the universal density functional are required. In this work, a model based on deep…

Computational Physics · Physics 2016-08-02 Jeffrey M. McMahon

Autoencoders are certainly among the most studied and used Deep Learning models: the idea behind them is to train a model in order to reconstruct the same input data. The peculiarity of these models is to compress the information through a…

Machine Learning · Computer Science 2023-09-06 Gabriele Martino , Davide Moroni , Massimo Martinelli

Machine learning is rapidly accelerating materials and chemical discovery, but most current models target energies, forces, or selected molecular properties rather than the underlying many-body electronic structure. Learning…

In recent years, machine learning models, chiefly deep neural networks, have revealed suited to learn accurate energy-density functionals from data. However, problematic instabilities have been shown to occur in the search of ground-state…

Computational Physics · Physics 2024-09-26 Emanuele Costa , Giuseppe Scriva , Sebastiano Pilati

Dimension Estimation (DE) and Dimension Reduction (DR) are two closely related topics, but with quite different goals. In DE, one attempts to estimate the intrinsic dimensionality or number of latent variables in a set of measurements of a…

Machine Learning · Computer Science 2019-09-25 Nitish Bahadur , Randy Paffenroth

A key problem in the modern study of AI is predicting and understanding emergent capabilities in models during training. Inspired by methods for studying reactions in quantum chemistry, we present the ``2-datapoint reduced density matrix".…

Machine Learning · Computer Science 2026-04-02 Max Hennick , Guillaume Corlouer

Data modeling and reduction for in situ is important. Feature-driven methods for in situ data analysis and reduction are a priority for future exascale machines as there are currently very few such methods. We investigate a deep-learning…

Machine Learning · Computer Science 2019-12-10 Qun Liu , Subhashis Hazarika , John M. Patchett , James Paul Ahrens , Ayan Biswas

Autoencoders have achieved great success in various computer vision applications. The autoencoder learns appropriate low dimensional image representations through the self-supervised paradigm, i.e., reconstruction. Existing studies mainly…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Jianzhang Zheng , Hao Shen , Jian Yang , Xuan Tang , Mingsong Chen , Hui Yu , Jielong Guo , Xian Wei

The Deep Material Network (DMN) has emerged as a powerful framework for multiscale materials modeling, enabling efficient and accurate prediction of material behavior across different length scales. Unlike conventional data-driven…

Computational Engineering, Finance, and Science · Computer Science 2026-03-23 Ting-Ju Wei , Wen-Ning Wan , Chuin-Shan Chen

In autonomous embedded systems, it is often vital to reduce the amount of actions taken in the real world and energy required to learn a policy. Training reinforcement learning agents from high dimensional image representations can be very…

Machine Learning · Computer Science 2019-03-26 Bharat Prakash , Mark Horton , Nicholas R. Waytowich , William David Hairston , Tim Oates , Tinoosh Mohsenin

Medical image data are usually imbalanced across different classes. One-class classification has attracted increasing attention to address the data imbalance problem by distinguishing the samples of the minority class from the majority…

Image and Video Processing · Electrical Eng. & Systems 2022-04-15 Long Gao , Chang Liu , Dooman Arefan , Ashok Panigrahy , Shandong Wu

Breast density estimation is one of the key tasks in recognizing individuals predisposed to breast cancer. It is often challenging because of low contrast and fluctuations in mammograms' fatty tissue background. Most of the time, the breast…

Image and Video Processing · Electrical Eng. & Systems 2022-10-11 Vikash Gupta , Mutlu Demirer , Robert W. Maxwell , Richard D. White , Barbaros Selnur Erdal

We introduce a data-driven framework for approximating the convex set of $N$-representable two-electron reduced density matrices (2-RDMs). Traditional approaches characterize this set through linear matrix inequalities that define its…

Chemical Physics · Physics 2026-03-09 Luis H. Delgado-Granados , David A. Mazziotti

Quantum many-body methods provide a systematic route to computing electronic properties of molecules and materials, but high computational costs restrict their use in large-scale applications. Due to the complexity in many-electron…

Virtual screening can accelerate drug discovery by identifying promising candidates for experimental evaluation. Machine learning is a powerful method for screening, as it can learn complex structure-property relationships from experimental…

Machine Learning · Computer Science 2021-02-22 Simon Axelrod , Rafael Gomez-Bombarelli

Quantum embedding methods enable the study of large, strongly correlated quantum systems by (usually self-consistent) decomposition into computationally manageable subproblems, in the spirit of divide-and-conquer methods. Among these,…

Strongly Correlated Electrons · Physics 2025-03-14 Alicia Negre , Fabian Faulstich , Raehyun Kim , Thomas Ayral , Lin Lin , Eric Cancès

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

One-class classification refers to approaches of learning using data from a single class only. In this paper, we propose a deep learning one-class classification method suitable for multimodal data, which relies on two convolutional…

Machine Learning · Computer Science 2023-09-26 Firas Laakom , Fahad Sohrab , Jenni Raitoharju , Alexandros Iosifidis , Moncef Gabbouj
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