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This paper introduces methods and a novel toolbox that efficiently integrates any high-dimensional Neural Mass Models (NMMs) specified by two essential components. The first is the set of nonlinear Random Differential Equations of the…

Neurons and Cognition · Quantitative Biology 2022-06-13 A. González-Mitjans , D. Paz-Linares , A. Areces-Gonzalez , M. Li , Y. Wang , ML. Bringas-Vega , P. A Valdés-Sosa

We characterize the variational power of quantum circuit tensor networks in the representation of physical many-body ground-states. Such tensor networks are formed by replacing the dense block unitaries and isometries in standard tensor…

Quantum Physics · Physics 2022-04-01 Reza Haghshenas , Johnnie Gray , Andrew C. Potter , Garnet Kin-Lic Chan

As neural networks gain widespread adoption in embedded devices, there is a need for model compression techniques to facilitate deployment in resource-constrained environments. Quantization is one of the go-to methods yielding…

Machine Learning · Computer Science 2021-01-13 Karina Vasquez , Yeshwanth Venkatesha , Abhiroop Bhattacharjee , Abhishek Moitra , Priyadarshini Panda

We extend the data-assimilation approach of Ling and Lozano-Dur\'an (AIAA 2025-1280) to develop machine-learning-based subgrid-scale stress (SGS) models for large-eddy simulation (LES) that are consistent with the numerical scheme of the…

Fluid Dynamics · Physics 2026-01-29 Yuenong Ling , Adrián Lozano-Durán

This paper presents a heterogeneous adaptive mesh refinement (AMR) framework for efficient simulation of moderately stiff reactive problems. This framework features an elaborate subcycling-in-time algorithm along with a specialized…

Computational Physics · Physics 2025-06-04 Yuqi Wang , Yadong Zeng , Ralf Deiterding , Jianhan Liang

Exact diagonalization (ED) is an essential tool for exploring quantum many-body physics but is fundamentally limited by the exponentially-scaled computational complexity. Here, we propose tensor network variational diagonalization (TNVD),…

Quantum Physics · Physics 2025-08-11 Peng-Fei Zhou , Shuang Qiao , An-Chun Ji , Shi-Ju Ran

We introduce a novel, model-independent method for the efficient simulation of low-entropy systems, whose dynamics can be accurately described with a limited number of states. Our method leverages the time-dependent variational principle to…

Quantum Physics · Physics 2024-12-02 Luca Gravina , Vincenzo Savona

We present a novel data-driven approach for enhancing gradient reconstruction in unstructured finite volume methods for hyperbolic conservation laws, specifically for the 2D Euler equations. Our approach extends previous structured-grid…

Numerical Analysis · Mathematics 2025-07-23 G. de Romémont , F. Renac , F. Chinesta , J. Nunez , D. Gueyffier

This paper extends the high-order entropy stable (ES) adaptive moving mesh finite difference schemes developed in [14] to the two- and three-dimensional (multi-component) compressible Euler equations with the stiffened equation of state.…

Numerical Analysis · Mathematics 2022-08-10 Shangting Li , Junming Duan , Huazhong Tang

The numerical simulation of two-dimensional quantum many-body systems away from equilibrium constitutes a major challenge for all known computational methods. We investigate the utility of Tree Tensor Network (TTN) states to solve the…

Quantum Physics · Physics 2025-05-13 Wladislaw Krinitsin , Niklas Tausendpfund , Markus Heyl , Matteo Rizzi , Markus Schmitt

Machine Learning surrogates for Computational Fluid Dynamics (CFD), particularly Graph Neural Networks (GNNs) and Transformers, have become a new important approach for accelerating physics simulations. However, we identify a critical…

Machine Learning · Computer Science 2026-05-05 Paul Garnier , Vincent Lannelongue , Elie Hachem

Training large-scale distributed machine learning models imposes considerable demands on network infrastructure, often resulting in sudden traffic spikes that lead to congestion, increased latency, and reduced throughput, which would…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-23 Yisu Wang , Xinjiao Li , Ruilong Wu , Huangxun Chen , Dirk Kutscher

The growing integration of renewable energy sources has significantly reduced grid inertia, making modern power systems more vulnerable to instabilities. Accurate estimation of dynamic parameters such as inertia constants and damping…

Dynamical Systems · Mathematics 2025-12-08 Aiman Mushtaq Purra , Danish Rafiq

Highly distributed training of Deep Neural Networks (DNNs) on future compute platforms (offering 100 of TeraOps/s of computational capacity) is expected to be severely communication constrained. To overcome this limitation, new gradient…

Machine Learning · Computer Science 2017-12-08 Chia-Yu Chen , Jungwook Choi , Daniel Brand , Ankur Agrawal , Wei Zhang , Kailash Gopalakrishnan

Accurately and efficiently simulating complex fluid dynamics is a challenging task that has traditionally relied on computationally intensive methods. Neural network-based approaches, such as convolutional and graph neural networks, have…

Machine Learning · Computer Science 2025-03-14 Zeyi Xu , Jinfan Liu , Kuangxu Chen , Ye Chen , Zhangli Hu , Bingbing Ni

Numerical annealing and renormalization group have conceived various successful approaches to study the thermodynamics of strongly-correlated systems where perturbation or expansion theories fail to work. As the process of lowering the…

Quantum Physics · Physics 2022-05-02 Ding-Zu Wang , Guo-Feng Zhang , Maciej Lewenstein , Shi-Ju Ran

The memory capacity of embedding tables in deep learning recommendation models (DLRMs) is increasing dramatically from tens of GBs to TBs across the industry. Given the fast growth in DLRMs, novel solutions are urgently needed, in order to…

Machine Learning · Computer Science 2021-01-29 Chunxing Yin , Bilge Acun , Xing Liu , Carole-Jean Wu

Efficient channel state information (CSI) feedback is critical for 6G extremely large-scale multiple-input multiple-output (XL-MIMO) systems to mitigate channel interference. However, the massive antenna scale imposes a severe burden on…

Signal Processing · Electrical Eng. & Systems 2026-01-13 Yuhang Ma , Nan Ma , Jianqiao Chen , Wenkai Liu

In a finite element analysis, using a large number of grids is important to obtain accurate results, but is a resource-consuming task. Aiming to real-time simulation and optimization, it is desired to obtain fine grid analysis results…

Machine Learning · Computer Science 2022-06-03 Kazuo Yonekura , Kento Maruoka , Kyoku Tyou , Katsuyuki Suzuki

Voltage control generally requires accurate information about the grid's topology in order to guarantee network stability. However, accurate topology identification is challenging for existing methods, especially as the grid is subject to…

Systems and Control · Electrical Eng. & Systems 2024-09-06 Christopher Yeh , Jing Yu , Yuanyuan Shi , Adam Wierman
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