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Related papers: Measurement-Induced Quantum Neural Network

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We develop Structured-Knowledge-Informed Neural Networks (SKINNs), a unified estimation framework that embeds theoretical, simulated, previously learned, or cross-domain insights as differentiable constraints within flexible neural function…

Machine Learning · Statistics 2026-04-02 Yi Cao , Zexun Chen , Lin William Cong , Heqing Shi

Standard Physics-Informed Neural Networks (PINNs) often face challenges when modeling parameterized dynamical systems with sharp regime transitions, such as bifurcations. In these scenarios, the continuous mapping from parameters to…

Machine Learning · Computer Science 2026-03-06 Enzo Nicolas Spotorno , Josafat Ribeiro Leal , Antonio Augusto Frohlich

Differential equations are indispensable to engineering and hence to innovation. In recent years, physics-informed neural networks (PINN) have emerged as a novel method for solving differential equations. PINN method has the advantage of…

Computational Engineering, Finance, and Science · Computer Science 2022-01-07 Mayank Raj , Pramod Kumbhar , Ratna Kumar Annabattula

Reliable spacecraft attitude control depends on accurate prediction of attitude dynamics, particularly when model-based strategies such as Model Predictive Control (MPC) are employed, where performance is limited by the quality of the…

Robotics · Computer Science 2026-02-19 Carlo Cena , Mauro Martini , Marcello Chiaberge

The integration of physics-based knowledge with machine learning models is increasingly shaping the monitoring, diagnostics, and prognostics of electrical transformers. In this two-part series, the first paper introduced the foundations of…

Machine Learning · Computer Science 2025-12-30 Jose I. Aizpurua

Deep neural networks (DNNs) are becoming more prevalent in important safety-critical applications, where reliability in the prediction is paramount. Despite their exceptional prediction capabilities, current DNNs do not have an implicit…

Machine Learning · Computer Science 2021-05-14 David Betancourt , Rafi Muhanna

Physics-informed neural networks (PINNs) have emerged as a powerful tool for solving inverse problems, especially in cases where no complete information about the system is known and scatter measurements are available. This is especially…

Computational Engineering, Finance, and Science · Computer Science 2023-08-03 Jeremias Garay , Jocelyn Dunstan , Sergio Uribe , Francisco Sahli Costabal

Physics-Informed Neural Networks (PINNs) are a class of deep learning models aiming to approximate solutions of PDEs by training neural networks to minimize the residual of the equation. Focusing on non-equilibrium fluctuating systems, we…

Machine Learning · Computer Science 2025-09-25 Javier Castro , Benjamin Gess

Quantum control plays an irreplaceable role in practical use of quantum computers. However, some challenges have to be overcome to find more suitable and diverse control parameters. We propose a promising and generalizable…

Quantum Physics · Physics 2023-09-29 Meng-Yun Mao , Zheng Cheng , Yan Xia , Andrzej M. Oleś , Wen-Long You

Surrogate modeling is used to replace computationally expensive simulations. Neural networks have been widely applied as surrogate models that enable efficient evaluations over complex physical systems. Despite this, neural networks are…

Machine Learning · Computer Science 2024-02-13 Hao Chen , Gonzalo E. Constante Flores , Can Li

Physics-informed neural networks (PINNs) solve time-dependent partial differential equations (PDEs) by learning a mesh-free, differentiable solution that can be evaluated anywhere in space and time. However, standard space--time PINNs take…

Machine Learning · Computer Science 2026-01-29 Chen-Yang Dai , Che-Chia Chang , Te-Sheng Lin , Ming-Chih Lai , Chieh-Hsin Lai

Identifying where quantum models may offer practical benefits in near term quantum machine learning (QML) requires moving beyond isolated algorithmic proposals toward systematic and empirical exploration across models, datasets, and…

We study the implementation of quantum channels with quantum computers while minimizing the experimental cost, measured in terms of the number of Controlled-NOT (C-NOT) gates required (single-qubit gates are free). We consider three…

Quantum Physics · Physics 2017-05-17 Raban Iten , Roger Colbeck , Matthias Christandl

Measurement-induced entanglement (MIE) captures how local measurements generate long-range quantum correlations and drive dynamical phase transitions in many-body systems. Yet estimating MIE experimentally remains challenging: direct…

Quantum Physics · Physics 2025-12-11 Dongheng Qian , Jing Wang

We proposed the boundary-integral type neural networks (BINN) for the boundary value problems in computational mechanics. The boundary integral equations are employed to transfer all the unknowns to the boundary, then the unknowns are…

Machine Learning · Computer Science 2023-05-26 Jia Sun , Yinghua Liu , Yizheng Wang , Zhenhan Yao , Xiaoping Zheng

In this paper, we investigate the performances of tunable quantum neural networks in the Quantum Probably Approximately Correct (QPAC) learning framework. Tunable neural networks are quantum circuits made of multi-controlled X gates. By…

Quantum Physics · Physics 2023-11-16 Viet Pham Ngoc , David Tuckey , Herbert Wiklicky

We introduce a Lattice-Boltzmann-driven kinetic physics-informed neural network (K-PINN) for predictive modeling of droplet dynamics on structured surfaces, in which the discrete Boltzmann-BGK equation is incorporated into the learning…

Computational Engineering, Finance, and Science · Computer Science 2026-04-21 Ganesh Sahadeo Meshram , Partha Pratim Chakrabarti , Suman Chakraborty

This work integrates the physics-informed neural network (PINN) approach into the neural quantum state framework to simulate open quantum system dynamics, to circumvent the computationally expensive time-dependent variational principle…

Quantum Physics · Physics 2026-04-30 Long Cao , Liwei Ge , Daochi Zhang , Yao Wang , Rui-Xue Xu , YiJing Yan , Xiao Zheng

In this work, we propose an end-to-end adaptive sampling neural network (MMPDE-Net) based on the moving mesh method, which can adaptively generate new sampling points by solving the moving mesh PDE. This model focuses on improving the…

Numerical Analysis · Mathematics 2024-06-11 Yu Yang , Qihong Yang , Yangtao Deng , Qiaolin He

Quantum machine learning (QML) is promising for potential speedups and improvements in conventional machine learning (ML) tasks (e.g., classification/regression). The search for ideal QML models is an active research field. This includes…

Quantum Physics · Physics 2022-02-07 Mahabubul Alam , Swaroop Ghosh