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The lack of interpretability and transparency are preventing economists from using advanced tools like neural networks in their empirical research. In this paper, we propose a class of interpretable neural network models that can achieve…

Econometrics · Economics 2020-12-01 Yucheng Yang , Zhong Zheng , Weinan E

We establish a way to handle main collective fluctuations in correlated quantum systems based on a Fluctuation Local Field concept. This technique goes beyond standard mean-field approaches, such as Hartree-Fock and dynamical mean-field…

Strongly Correlated Electrons · Physics 2021-01-04 Alexey N. Rubtsov , Evgeny A. Stepanov , Alexander I. Lichtenstein

Identifying phase transitions is one of the key challenges in quantum many-body physics. Recently, machine learning methods have been shown to be an alternative way of localising phase boundaries also from noisy and imperfect data and…

Deep learning (DL) models find increasing application in mental state decoding, where researchers seek to understand the mapping between mental states (e.g., perceiving fear or joy) and brain activity by identifying those brain regions (and…

Neurons and Cognition · Quantitative Biology 2022-10-17 Armin W. Thomas , Christopher Ré , Russell A. Poldrack

Strongly correlated phases of matter are often described in terms of straightforward electronic patterns. This has so far been the basis for studying the Fermi-Hubbard model realized with ultracold atoms. Here, we show that artificial…

One way to look for complex behaviours in many-body quantum systems is to let the number $N$ of degrees of freedom become large and focus upon collective observables. Mean-field quantities scaling as $1/N$ tend to commute, whence complexity…

Quantum Physics · Physics 2015-10-29 F. Benatti , F. Carollo , R. Floreanini

Recently, neural networks (NNs) have become a powerful tool for detecting quantum phases of matter. Unfortunately, NNs are black boxes and only identify phases without elucidating their properties. Novel physics benefits most from insights…

Quantum Physics · Physics 2024-11-05 Kacper Cybiński , James Enouen , Antoine Georges , Anna Dawid

Machine learning is capable of discriminating phases of matter, and finding associated phase transitions, directly from large data sets of raw state configurations. In the context of condensed matter physics, most progress in the field of…

Statistical Mechanics · Physics 2017-12-06 Pedro Ponte , Roger G. Melko

Diffractive neural networks hold great promise for applications requiring intensive computational processing. Considerable attention has focused on diffractive networks for either spatially coherent or spatially incoherent illumination.…

Optics · Physics 2025-03-25 Matan Kleiner , Lior Michaeli , Tomer Michaeli

The rapid development of quantum dot (QD) devices for quantum computing has necessitated more efficient and automated methods for device characterization and tuning. This work demonstrates the feasibility and advantages of applying…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Daniel Schug , Tyler J. Kovach , M. A. Wolfe , Jared Benson , Sanghyeok Park , J. P. Dodson , J. Corrigan , M. A. Eriksson , Justyna P. Zwolak

We show that it is possible to estimate the shape of an object by measuring only the fluctuations of a probing field, allowing us to expose the object to a minimal light intensity. This scheme, based on noise measurements through homodyne…

Quantum Physics · Physics 2020-01-30 Jeremy B. Clark , Zhifan Zhou , Quentin Glorieux , Alberto M. Marino , Paul D. Lett

We investigate dynamical many-body systems capable of universal computation, which leads to their properties being unpredictable unless the dynamics is simulated from the beginning to the end. Unpredictable behavior can be quantitatively…

Quantum Physics · Physics 2021-06-16 Javad Kazemi , Hendrik Weimer

Recent research has demonstrated the usefulness of neural networks as variational ansatz functions for quantum many-body states. However, high-dimensional sampling spaces and transient autocorrelations confront these approaches with a…

Quantum Physics · Physics 2021-11-29 Robert Klassert , Andreas Baumbach , Mihai A. Petrovici , Martin Gärttner

Accurately modeling quantum dissipative dynamics remains challenging due to environmental complexity and non-Markovian memory effects. Although machine learning provides a promising alternative to conventional simulation techniques, most…

Chemical Physics · Physics 2026-03-18 Muhammad Atif , Arif Ullah , Ming Yang

Quantum coherence is a fundamental common trait of quantum phenomena, from the interference of matter waves to quantum degeneracy of identical particles. Despite its importance, estimating and measuring quantum coherence in generic, mixed…

Statistical Mechanics · Physics 2016-08-17 Irénée Frérot , Tommaso Roscilde

The interplay between electron-electron interactions and weak localization (or anti-localization) phenomena in two-dimensional systems can significantly enhance the superconducting transition temperature. We develop the theory of quantum…

Superconductivity · Physics 2024-11-01 E. S. Andriyakhina , P. A. Nosov , S. Raghu , I. S. Burmistrov

The spatial localization of quantum states plays a central role in condensed-matter phenomena, ranging from many-body localization to topological matter. Building on the dissipation-fluctuation theorem, we propose that the localization…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Tomoki Ozawa , Nathan Goldman

Deep neural networks have demonstrated remarkable efficacy in extracting meaningful representations from complex datasets. This has propelled representation learning as a compelling area of research across diverse fields. One interesting…

Quantum Physics · Physics 2024-05-28 Philipp Schmidt , Florian Marquardt , Naeimeh Mohseni

Machine learning (ML) has recently facilitated many advances in solving problems related to many-body physical systems. Given the intrinsic quantum nature of these problems, it is natural to speculate that quantum-enhanced machine learning…

Quantum Physics · Physics 2022-12-14 Shweta Sahoo , Utkarsh Azad , Harjinder Singh

In this paper, we present a novel framework for enhancing model interpretability by integrating heatmaps produced separately by ResNet and a restructured 2D Transformer with globally weighted input saliency. We address the critical problem…

Machine Learning · Computer Science 2025-07-02 Jiztom Kavalakkatt Francis , Matthew J Darr