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The interplay of quantum and classical simulation and the delicate divide between them is in the focus of massively parallelized tensor network state (TNS) algorithms designed for high performance computing (HPC). In this contribution, we…

量子物理 · 物理学 2023-05-10 Andor Menczer , Örs Legeza

NVIDIA Tensor Core is a mixed-precision matrix-matrix multiplication and addition computing unit, where the theoretical peak performance is more than 300 TFlop/s on NVIDIA A100 GPU. NVIDIA provides WMMA API for using Tensor Cores in custom…

分布式、并行与集群计算 · 计算机科学 2023-08-30 Hiroyuki Ootomo , Rio Yokota

The efficient simulation of complex quantum systems remains a central challenge due to the exponential growth of Hilbert space with system size. Tensor network methods have long been established as powerful approximation schemes, and their…

计算物理 · 物理学 2026-03-16 Min Chen , Minzhao Liu , Changhun Oh , Liang Jiang , Yuri Alexeev , Junyu Liu

In this paper, we explore the acceleration of tensor product operations in finite element methods, leveraging the computational power of the NVIDIA A100 GPU Tensor Cores. We provide an accessible overview of the necessary mathematical…

数学软件 · 计算机科学 2024-07-16 Cu Cui

Tensor networks establish an adaptable framework for the emulation of quantum circuits. By partitioning exponentially large registers and gates into smaller tensors, this unlocks fast transformations through tensor algebra, and grants fine…

分布式、并行与集群计算 · 计算机科学 2026-04-13 Jakub Adamski , Oliver Thomson Brown

The NVIDIA Volta GPU microarchitecture introduces a specialized unit, called "Tensor Core" that performs one matrix-multiply-and-accumulate on 4x4 matrices per clock cycle. The NVIDIA Tesla V100 accelerator, featuring the Volta…

分布式、并行与集群计算 · 计算机科学 2018-12-18 Stefano Markidis , Steven Wei Der Chien , Erwin Laure , Ivy Bo Peng , Jeffrey S. Vetter

Efficient simulation of quantum circuits has become indispensable with the rapid development of quantum hardware. The primary simulation methods are based on state vectors and tensor networks. As the number of qubits and quantum gates grows…

量子物理 · 物理学 2024-08-13 Feng Pan , Hanfeng Gu , Lvlin Kuang , Bing Liu , Pan Zhang

Due to the unfavorable scaling of tensor network methods with the refinement parameter M, new approaches are necessary to improve the efficiency of numerical simulations based on such states in particular for gapless, strongly entangled…

强关联电子 · 物理学 2011-03-29 B. Bauer , P. Corboz , R. Orus , M. Troyer

Current Adaptive Mesh Refinement (AMR) simulations require algorithms that are highly parallelized and manage memory efficiently. As compute engines grow larger, AMR simulations will require algorithms that achieve new levels of efficient…

太阳与恒星天体物理 · 物理学 2015-03-19 Jonathan J. Carroll-Nellenback , Brandon Shroyer , Adam Frank , Chen Ding

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…

机器学习 · 计算机科学 2026-03-31 Soutrik Mukherjee , Sangwhan Cha

Transformer-based models are becoming deeper and larger recently. For better scalability, an underlying training solution in industry is to split billions of parameters (tensors) into many tasks and then run them across homogeneous…

分布式、并行与集群计算 · 计算机科学 2024-01-23 Zhigang Wang , Xu Zhang , Ning Wang , Chuanfei Xu , Jie Nie , Zhiqiang Wei , Yu Gu , Ge Yu

This study presents a comprehensive multi-level analysis of the NVIDIA Hopper GPU architecture, focusing on its performance characteristics and novel features. We benchmark Hopper's memory subsystem, highlighting improvements in the L2…

分布式、并行与集群计算 · 计算机科学 2025-09-05 Weile Luo , Ruibo Fan , Zeyu Li , Dayou Du , Hongyuan Liu , Qiang Wang , Xiaowen Chu

Tensor cores, along with tensor processing units, represent a new form of hardware acceleration specifically designed for deep neural network calculations in artificial intelligence applications. Tensor cores provide extraordinary…

Fast Fourier Transform (FFT) is an essential tool in scientific and engineering computation. The increasing demand for mixed-precision FFT has made it possible to utilize half-precision floating-point (FP16) arithmetic for faster speed and…

分布式、并行与集群计算 · 计算机科学 2021-04-26 Binrui Li , Shenggan Cheng , James Lin

Anisotropic mesh adaptation is a powerful way to directly minimise the computational cost of mesh based simulation. It is particularly important for multi-scale problems where the required number of floating-point operations can be reduced…

分布式、并行与集群计算 · 计算机科学 2013-08-13 Georgios Rokos , Gerard J. Gorman , James Southern , Paul H. J. Kelly

Recent hardware acceleration advances have enabled powerful specialized accelerators for finite element computations, spiking neural network inference, and sparse tensor operations. However, existing approaches face fundamental limitations:…

硬件体系结构 · 计算机科学 2026-01-09 Chuanzhen Wang , Leo Zhang , Eric Liu

This paper presents an accurate density computation approach for large dark matter simulations, based on a recently introduced phase-space tessellation technique and designed for massively parallel, heterogeneous cluster architectures. We…

计算物理 · 物理学 2017-08-28 Ralf Kaehler

Deep convolutional neural networks (ConvNets) of 3-dimensional kernels allow joint modeling of spatiotemporal features. These networks have improved performance of video and volumetric image analysis, but have been limited in size due to…

计算机视觉与模式识别 · 计算机科学 2017-06-13 David Budden , Alexander Matveev , Shibani Santurkar , Shraman Ray Chaudhuri , Nir Shavit

With the widespread adoption of Large Language Models (LLMs), the demand for high-performance LLM inference services continues to grow. To meet this demand, a growing number of AI accelerators have been proposed, such as Google TPU, Huawei…

硬件体系结构 · 计算机科学 2025-10-08 Tianhao Zhu , Dahu Feng , Erhu Feng , Yubin Xia

We present efficient and scalable parallel algorithms for performing mathematical operations for low-rank tensors represented in the tensor train (TT) format. We consider algorithms for addition, elementwise multiplication, computing norms…

数值分析 · 数学 2021-09-08 Hussam Al Daas , Grey Ballard , Peter Benner
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