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This paper addresses the analysis and design of quadratic neural networks, which have been recently introduced in the literature, and their applications to regression, classification, system identification and control of dynamical systems.…

Machine Learning · Computer Science 2022-07-28 Luis Rodrigues , Sidney Givigi

In the present study, we use cross-domain classification using quantum machine learning for quantum advantages to readdress the entanglement versus separability paradigm. The inherent structure of quantum states and its relation to a…

Quantum Physics · Physics 2025-04-09 Diksha Sharma , Vivek Balasaheb Sabale , Parvinder Singh , Atul Kumar

Neural networks are used extensively in classification problems in particle physics research. Since the training of neural networks can be viewed as a problem of inference, Bayesian learning of neural networks can provide more optimal and…

Data Analysis, Statistics and Probability · Physics 2007-07-09 Michael Pogwizd , Laura Jane Elgass , Pushpalatha C. Bhat

Machine learning is applied to investigate the phase transition of two-dimensional complex plasmas. The Langevin dynamics simulation is employed to prepare particle suspensions in various thermodynamic states. Based on the resulted particle…

Plasma Physics · Physics 2023-07-25 He Huang , Vladimir Nosenko , Han-Xiao Huang-Fu , Hubertus M. Thomas , Cheng-Ran Du

We describe N-body networks, a neural network architecture for learning the behavior and properties of complex many body physical systems. Our specific application is to learn atomic potential energy surfaces for use in molecular dynamics…

Machine Learning · Computer Science 2018-03-06 Risi Kondor

A state-of-the-art method that combines a quantum computational algorithm and machine learning, so-called quantum machine learning, can be a powerful approach for solving quantum many-body problems. However, the research scope in the field…

Computational Physics · Physics 2023-04-04 Shu Kanno , Tomofumi Tada

Quantum machine learning is a rapidly growing field at the intersection of quantum technology and artificial intelligence. This review provides a two-fold overview of several key approaches that can offer advancements in both the…

Quantum Physics · Physics 2023-03-07 Alexey Melnikov , Mohammad Kordzanganeh , Alexander Alodjants , Ray-Kuang Lee

We discuss an aspect of neural networks for the purpose of phase transition detection. To this end, we first train the neural network by feeding Ising/Potts configurations with labels of temperature so that it can predict the temperature of…

Disordered Systems and Neural Networks · Physics 2019-08-23 Kouji Kashiwa , Yuta Kikuchi , Akio Tomiya

Open quantum systems have been shown to host a plethora of exotic dynamical phases. Measurement-induced entanglement phase transitions in monitored quantum systems are a striking example of this phenomena. However, naive realizations of…

Quantum Physics · Physics 2023-06-21 Hossein Dehghani , Ali Lavasani , Mohammad Hafezi , Michael J. Gullans

Machine learning techniques have been shown to be effective to recognize different phases of matter and produce phase diagrams in the parameter space interested, while they usually require prior labeled data to perform well. Here, we…

This paper presents a general neural network framework for solving quantum few-body systems, extending prior methods to handle diverse particle masses, interaction types, and system configurations. Our architecture, which combines an…

Computational Physics · Physics 2026-03-16 Jin Ziqi , Paolo Recchia , Mario Gattobigio

Using machine learning (ML) to recognize different phases of matter and to infer the entire phase diagram has proven to be an effective tool given a large dataset. In our previous proposals, we have successfully explored phase transitions…

Statistical Mechanics · Physics 2023-07-12 Ming-Chiang Chung , Guang-Yu Huang , Ian P. McCulloch , Yuan-Hong Tsai

Monitored quantum circuits host a rich variety of exotic non-equilibrium phases. Among the most representative examples are measurement-induced phase transitions between distinct area-law entangled states. However, because these transitions…

Quantum Physics · Physics 2026-04-07 Hui Yu , Jiangping Hu , Shi-Xin Zhang

The learning dynamics of deep neural networks are subject to controversy. Using the information bottleneck (IB) theory separate fitting and compression phases have been put forward but have since been heavily debated. We approach learning…

Machine Learning · Computer Science 2022-02-18 Johannes Schneider

Machine-learning techniques are evolving into a subsidiary tool for studying phase transitions in many-body systems. However, most studies are tied to situations involving only one phase transition and one order parameter. Systems that…

Statistical Mechanics · Physics 2019-03-20 Ke Liu , Jonas Greitemann , Lode Pollet

Quantum effects are known to provide an advantage in particle transfer across networks. In order to achieve this advantage, requirements on both a graph type and a quantum system coherence must be found. Here we show that the process of…

Quantum Physics · Physics 2020-02-19 Alexey A. Melnikov , Leonid E. Fedichkin , Ray-Kuang Lee , Alexander Alodjants

With the evolution of numerical methods, we are now aiming at not only qualitative understanding but also quantitative prediction and design of quantum many-body phenomena. As a novel numerical approach, machine learning techniques have…

Strongly Correlated Electrons · Physics 2024-12-20 Yusuke Nomura , Masatoshi Imada

Computer-aided diagnosis systems must make critical decisions from medical images that are often noisy, ambiguous, or conflicting, yet today's models are trained on overly simplistic labels that ignore diagnostic uncertainty. One-hot labels…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Ang Nan Gu , Michael Tsang , Hooman Vaseli , Purang Abolmaesumi , Teresa Tsang

Algorithmic image-based diagnosis and prognosis of neurodegenerative diseases on longitudinal data has drawn great interest from computer vision researchers. The current state-of-the-art models for many image classification tasks are based…

Computer Vision and Pattern Recognition · Computer Science 2017-09-04 Jie Zhang , Qingyang Li , Richard J. Caselli , Jieping Ye , Yalin Wang

Characterization of quantum objects, being them states, processes, or measurements, complemented by previous knowledge about them is a valuable approach, especially as it leads to routine procedures for real-life components. To this end,…

Quantum Physics · Physics 2023-06-28 Massimiliano Guarneri , Ilaria Gianani , Marco Barbieri , Andrea Chiuri
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