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This work introduces a novel adaptive mesh refinement (AMR) method that utilizes dominant balance analysis (DBA) for efficient and accurate grid adaptation in computational fluid dynamics (CFD) simulations. The proposed method leverages a…

Fluid Dynamics · Physics 2024-11-06 Gaurav Kumar , Aditya G. Nair

Engineering simulations are usually based on complex, grid-based, or mesh-free methods for solving partial differential equations. The results of these methods cover large fields of physical quantities at very many discrete spatial…

Fluid Dynamics · Physics 2025-08-08 Eduardo Di Costanzo , Niklas Kühl , Jean-Christophe Marongiu , Thomas Rung

Tensor networks are a very powerful data structure tool originating from quantum system simulations. In recent years, they have seen increased use in machine learning, mostly in trainings with gradient-based techniques, due to their…

Quantum Physics · Physics 2024-12-24 Sergi Masot-Llima , Artur Garcia-Saez

Selective state space models (SSMs) have rapidly become a compelling backbone for large language models, especially for long-context workloads. Yet in deployment, their inference performance is often bounded by the memory capacity,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-25 Anurag Dutt , Nimit Shah , Hazem Masarani , Anshul Gandhi

We propose an environment recycling scheme to speed up a class of tensor network algorithms that produce an approximation to the ground state of a local Hamiltonian by simulating an evolution in imaginary time. Specifically, we consider the…

Quantum Physics · Physics 2015-03-31 Ho N. Phien , Ian P. McCulloch , Guifré Vidal

Motivated by extreme multi-label classification applications, we consider training deep learning models over sparse data in multi-GPU servers. The variance in the number of non-zero features across training batches and the intrinsic GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-15 Yujing Ma , Florin Rusu , Kesheng Wu , Alexander Sim

Scientific applications in fields such as high energy physics, computational fluid dynamics, and climate science generate vast amounts of data at high velocities. This exponential growth in data production is surpassing the advancements in…

Machine Learning · Computer Science 2024-09-10 Xiao Li , Jaemoon Lee , Anand Rangarajan , Sanjay Ranka

Tensor networks, such as matrix product states (MPS) and tree tensor network states (TTNS), are powerful ans\"atze for simulating quantum dynamics. While both ans\"atze are theoretically exact in the limit of large bond dimensions, [J.…

Chemical Physics · Physics 2025-12-15 Weitang Li , Jiajun Ren , Jun Yan

As the number of qubits in a sensor increases, the complexity of designing and controlling the quantum circuits grows exponentially. Manually optimizing these circuits becomes infeasible. Optimizing entanglement distribution in large-scale…

Quantum Physics · Physics 2025-09-01 Laxmisha Ashok Attisara , Sathish Kumar

This paper presents the design and evaluation of a GPU-accelerated inference pipeline for transformer models using NVIDIA TensorRT with mixed-precision optimization. We evaluate BERT-base (110M parameters) and GPT-2 (124M parameters) across…

Machine Learning · Computer Science 2026-03-31 Soutrik Mukherjee , Sangwhan Cha

Industrial systems increasingly depend on Machine Learning (ML), and operate on heterogeneous nodes that must satisfy tight latency, energy, and memory constraints. Dynamic ML models, which reconfigure their computational footprint at…

Machine Learning · Computer Science 2026-04-30 Francesco Daghero , Mahyar Tourchi Moghaddam , Mikkel Baun Kjærgaard

Intracortical brain-machine interfaces demand low-latency, energy-efficient solutions for neural decoding. Spiking Neural Networks (SNNs) deployed on neuromorphic hardware have demonstrated remarkable efficiency in neural decoding by…

Neural and Evolutionary Computing · Computer Science 2025-04-17 Francesca Rivelli , Martin Popov , Charalampos S. Kouzinopoulos , Guangzhi Tang

We present the Tensor Train Multiplication (TTM) algorithm for the elementwise multiplication of two tensor trains with bond dimension $\chi$. The computational complexity and memory requirements of the TTM algorithm scale as $\chi^3$ and…

Computational Physics · Physics 2024-10-30 Alexios A Michailidis , Christian Fenton , Martin Kiffner

Within the Projected Entangled Pair State (PEPS) tensor network formalism, a simple update (SU) method has been used to investigate the time evolution of a two-dimensional U(1) critical spin-1/2 spin liquid under Hamiltonian quench [Phys.…

Strongly Correlated Electrons · Physics 2023-10-11 Ravi Teja Ponnaganti , Matthieu Mambrini , Didier Poilblanc

The emergence of artificial intelligence (AI) accelerators like NVIDIA Tensor Cores offers new opportunities to speed up tensor-heavy scientific computations. However, applying them to quantum chemistry is challenging due to strict accuracy…

Chemical Physics · Physics 2026-04-20 Hua Huang , Wenkai Shao , Jeff Hammond

The advent of quantum computers promises exponential speed ups in the execution of various computational tasks. While their capabilities are hindered by quantum decoherence, they can be exactly simulated on classical hardware at the cost of…

Quantum Physics · Physics 2023-08-01 Maxime Oliva

We study the von Neumann entropy of a model for two-species hard-core bosons in one dimension. In this model, the same-species bosons satisfy hard-core conditions, while the different-species bosons are allowed to occupy the same site with…

Strongly Correlated Electrons · Physics 2021-03-17 Tae Yong Kim , Hang Gon Cho , Ji-Woo Lee

Predicting the behavior of turbulent flows using large-eddy simulation requires modeling of the subgrid-scale stress tensor. This tensor can be approximated using mixed models, which combine the dissipative nature of functional models with…

Fluid Dynamics · Physics 2021-01-11 L. B. Streher , M. H. Silvis , P. Cifani , R. W. C. P. Verstappen

We propose a scalable method for computing global solutions of nonlinear, high-dimensional dynamic stochastic economic models. First, within a time iteration framework, we approximate economic policy functions using an adaptive,…

General Economics · Economics 2022-02-15 Aryan Eftekhari , Simon Scheidegger

Tensor network methods are routinely used in approximating various equilibrium and non-equilibrium scenarios, with the algorithms requiring a small bond dimension at low enough time or inverse temperature. These approaches so far lacked a…

Quantum Physics · Physics 2021-11-16 Álvaro M. Alhambra , J. Ignacio Cirac