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This paper introduces a deep learning system based on a quantum neural network for the binary classification of points of a specific geometric pattern (Two-Moons Classification problem) on a plane. We believe that the use of hybrid deep…

Quantum Physics · Physics 2022-08-10 Marco Simonetti , Damiano Perri , Osvaldo Gervasi

Artificial neural networks are functions depending on a finite number of parameters typically encoded as weights and biases. The identification of the parameters of the network from finite samples of input-output pairs is often referred to…

Machine Learning · Computer Science 2022-11-10 Massimo Fornasier , Timo Klock , Marco Mondelli , Michael Rauchensteiner

Despite extensive research spanning several decades, class imbalance is still considered a profound difficulty for both machine learning and deep learning models. While data oversampling is the foremost technique to address this issue,…

Machine Learning · Computer Science 2025-02-12 Sukumar Kishanthan , Asela Hevapathige

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

Machine Learning · Computer Science 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

We train convolutional neural networks to predict whether or not a set of measurements is informationally complete to uniquely reconstruct any given quantum state with no prior information. In addition, we perform fidelity benchmarking…

Noisy labels are ubiquitous in real-world datasets, especially in the large-scale ones derived from crowdsourcing and web searching. It is challenging to train deep neural networks with noisy datasets since the networks are prone to…

Computer Vision and Pattern Recognition · Computer Science 2024-06-26 Yangdi Lu , Wenbo He

Machine-learning and neural-network approaches have gained huge attention in the context of quantum science and technology in recent years. One of the most essential tasks for the future development of quantum technologies is the…

Quantum Physics · Physics 2020-05-18 Valentin Gebhart , Martin Bohmann

Many-body physics of electron-electron correlations plays a central role in condensed mater physics, it governs a wide range of phenomena, stretching from superconductivity to magnetism, and is behind numerous technological applications. To…

Mesoscale and Nanoscale Physics · Physics 2023-06-09 Anupam Bhattacharya , Ivan Timokhin , Ratnamala Chatterjee , Qian Yang , Artem Mishchenko

We present an analysis of neural network-based machine learning schemes for phases and phase transitions in theoretical condensed matter research, focusing on neural networks with a single hidden layer. Such shallow neural networks were…

Statistical Mechanics · Physics 2018-06-06 Philippe Suchsland , Stefan Wessel

Deep-learning recently show great success across disciplines yet conventionally require time-consuming computer processing or bulky-sized diffractive elements. Here we theoretically propose and experimentally demonstrate a purely-passive…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Jingkai Weng , Yujiang Ding , Chengbo Hu , Xue-feng Zhu , Bin Liang , Jing Yang , Jianchun Cheng

The reliable characterization of quantum states is a fundamental task in quantum information science. For this purpose, quantum state tomography provides a standard framework for reconstructing quantum states from measurement data, yet it…

Quantum Physics · Physics 2026-04-14 Yixuan Hu , Mengru Ma , Jiangwei Shang

The continuous effort towards topological quantum devices calls for an efficient and non-invasive method to assess the conformity of components in different topological phases. Here, we show that machine learning paves the way towards…

Disordered Systems and Neural Networks · Physics 2019-01-24 Marcello D. Caio , Marco Caccin , Paul Baireuther , Timo Hyart , Michel Fruchart

Labeling data correctly is an expensive and challenging task in machine learning, especially for on-line data streams. Deep learning models especially require a large number of clean labeled data that is very difficult to acquire in…

Machine Learning · Computer Science 2020-10-28 Taraneh Younesian , Dick Epema , Lydia Y. Chen

Quantum noise is currently limiting efficient quantum information processing and computation. In this work, we consider the tasks of reconstructing and classifying quantum states corrupted by the action of an unknown noisy channel using…

Quantum Physics · Physics 2025-04-01 Angela Rosy Morgillo , Stefano Mangini , Marco Piastra , Chiara Macchiavello

Falsely annotated samples, also known as noisy labels, can significantly harm the performance of deep learning models. Two main approaches for learning with noisy labels are global noise estimation and data filtering. Global noise…

Machine Learning · Computer Science 2025-07-31 Yuval Grinberg , Nimrod Harel , Jacob Goldberger , Ofir Lindenbaum

Machine learning offers potential solutions to current issues in industrial systems in areas such as quality control and predictive maintenance, but also faces unique barriers in industrial applications. An ongoing challenge is extreme…

Machine Learning · Computer Science 2026-01-15 Lesley Wheat , Martin v. Mohrenschildt , Saeid Habibi

Learning from imbalanced data is one of the most significant challenges in real-world classification tasks. In such cases, neural networks performance is substantially impaired due to preference towards the majority class. Existing…

Machine Learning · Computer Science 2022-11-13 Bronislav Yasinnik , Moshe Salhov , Ofir Lindenbaum , Amir Averbuch

Fermionic reduced density matrices summarize the key observables in fermionic systems. In electronic systems, the two-particle reduced density matrix (2-RDM) is sufficient to determine the energy and most physical observables of interest.…

Quantum Physics · Physics 2023-06-12 Linqing Peng , Xing Zhang , Garnet Kin-Lic Chan

In the field of transmission electron microscopy, data interpretation often lags behind acquisition methods, as image processing methods often have to be manually tailored to individual datasets. Machine learning offers a promising approach…

Image and Video Processing · Electrical Eng. & Systems 2021-07-07 C. K. Groschner , Christina Choi , M. C. Scott

As quantum machine-learning architectures mature, a central challenge is no longer their construction, but identifying the regimes in which they offer practical advantages over classical approaches. In this work, we introduce a framework…

Machine Learning · Computer Science 2026-01-21 Brandon B. Le , D. Keller