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While neural networks have made significant strides in many AI tasks, they remain vulnerable to a range of noise types, including natural corruptions, adversarial noise, and low-resolution artifacts. Many existing approaches focus on…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Zhiling Zhou , Zirui Liu , Chengming Xu , Yanwei Fu , Xinwei Sun

Physics-Informed Neural Networks (PINNs) are effective methods for solving inverse problems and discovering governing equations from observational data. However, their performance degrades significantly under complex measurement noise and…

Machine Learning · Computer Science 2026-02-04 Hankyeol Kim , Pilsung Kang

Disorder in condensed matter and atomic physics is responsible for a great variety of fascinating quantum phenomena, which are still challenging for understanding, not to mention the relevant dynamical control. Here we introduce proof of…

Disordered Systems and Neural Networks · Physics 2022-03-01 Tang-You Huang , Yue Ban , E. Ya. Sherman , Xi Chen

We present a machine learning-based approach for characterising the environment that affects the dynamics of an open quantum system. We focus on the case of an exactly solvable spin-boson model, where the system-environment interaction,…

Variational quantum algorithms are promising for near-term quantum computing, but are severely limited by hardware noise and the substantial circuit overhead required for error mitigation methods such as Zero-Noise Extrapolation (ZNE). We…

Quantum Physics · Physics 2026-05-05 Jie Liu , Xin Wang

Recently, a class of machine learning methods called physics-informed neural networks (PINNs) has been proposed and gained prevalence in solving various scientific computing problems. This approach enables the solution of partial…

Computational Engineering, Finance, and Science · Computer Science 2023-11-06 Chen Xu , Ba Trung Cao , Yong Yuan , Günther Meschke

The permutational invariance of identical two-level systems allows for an exponential reduction in the computational resources required to study the Lindblad dynamics of coupled spin-boson ensembles evolving under the effect of both local…

Quantum Physics · Physics 2019-05-20 Nathan Shammah , Shahnawaz Ahmed , Neill Lambert , Simone De Liberato , Franco Nori

Model-based feedforward control improves tracking performance of motion systems, provided that the model describing the inverse dynamics is of sufficient accuracy. Model sets, such as neural networks (NNs) and physics-guided neural networks…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Max Bolderman , Mircea Lazar , Hans Butler

Emerging quantum hardware provides new possibilities for quantum simulation. While much of the research has focused on simulating closed quantum systems, the real-world quantum systems are mostly open. Therefore, it is essential to develop…

Quantum Physics · Physics 2024-02-14 Huo Chen , Niladri Gomes , Siyuan Niu , Wibe Albert de Jong

In this paper, we introduce an innovative approach for addressing Bayesian inverse problems through the utilization of physics-informed invertible neural networks (PI-INN). The PI-INN framework encompasses two sub-networks: an invertible…

Numerical Analysis · Mathematics 2023-10-04 Xiaofei Guan , Xintong Wang , Hao Wu , Zihao Yang , Peng Yu

Solving inverse problems with Physics-Informed Neural Networks (PINNs) is computationally expensive for multi-query scenarios, as each new set of observed data requires a new, expensive training procedure. We present Inverse-Parameter Basis…

Machine Learning · Computer Science 2025-09-10 Shalev Manor , Mohammad Kohandel

Mitigating and reducing noise influence is crucial for obtaining precise experimental results from noisy intermediate-scale quantum (NISQ) devices. In this work, an adaptive Hamiltonian learning (AHL) model for data analysis and quantum…

Quantum Physics · Physics 2025-01-15 Wenxuan Wang

Physics-Informed Neural Networks (PINNs), which integrate deep learning with physical prior knowledge, have proven to be a powerful tool for studying the dynamics of high-dimensional nonlinear systems. The present work utilizes PINNs to…

Quantum Gases · Physics 2026-02-05 Dongshuai Liu , Boris A. Malomed , Wen Zhang

Discovering hidden physical laws and identifying governing system parameters from sparse observations are central challenges in computational science and engineering. Existing data-driven methods, such as physics-informed neural networks…

Machine Learning · Computer Science 2026-04-16 Dibakar Roy Sarkar , Vijay Kag , Birupaksha Pal , Somdatta Goswami

We present PINNACLE, an open-source computational framework for physics-informed neural networks (PINNs) that integrates modern training strategies, multi-GPU acceleration, and hybrid quantum-classical architectures within a unified modular…

Machine Learning · Computer Science 2026-04-20 Shimon Pisnoy , Hemanth Chandravamsi , Ziv Chen , Aaron Goldgewert , Gal Shaviner , Boris Shragner , Steven H. Frankel

Why rely on dense neural networks and then blindly sparsify them when prior knowledge about the problem structure is already available? Many inverse problems admit algorithm-unrolled networks that naturally encode physics and sparsity. In…

Machine Learning · Computer Science 2025-10-14 Arian Eamaz , Farhang Yeganegi , Mojtaba Soltanalian

The identification of material parameters occurring in constitutive models has a wide range of applications in practice. One of these applications is the monitoring and assessment of the actual condition of infrastructure buildings, as the…

Machine Learning · Computer Science 2023-06-14 David Anton , Henning Wessels

We propose a scheme for inverse engineering control in open quantum systems. Starting from an undetermined time evolution operator, a time-dependent Hamiltonian is derived in order to guide the system to attain an arbitrary target state at…

Quantum Physics · Physics 2015-06-16 Jun Jing , Lian-Ao Wu , Marcelo S. Sarandy , J. Gonzalo Muga

This paper presents the potential of applying physics-informed neural networks for solving nonlinear multiphysics problems, which are essential to many fields such as biomedical engineering, earthquake prediction, and underground energy…

Computational Engineering, Finance, and Science · Computer Science 2020-07-01 Teeratorn Kadeethum , Thomas M Jorgensen , Hamidreza M Nick

The search for useful applications of noisy intermediate-scale quantum (NISQ) devices in quantum simulation has been hindered by their intrinsic noise and the high costs associated with achieving high accuracy. A promising approach to…

Quantum Physics · Physics 2025-07-01 Emiel Koridon , Felix Frohnert , Eric Prehn , Evert van Nieuwenburg , Jordi Tura , Stefano Polla