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Tensor Processing Units (TPUs) were developed by Google exclusively to support large-scale machine learning tasks. TPUs can, however, also be used to accelerate and scale up other computationally demanding tasks. In this paper we repurpose…

Quantum Physics · Physics 2021-11-23 Markus Hauru , Alan Morningstar , Jackson Beall , Martin Ganahl , Adam Lewis , Guifre Vidal

We have repurposed Google Tensor Processing Units (TPUs), application-specific chips developed for machine learning, into large-scale dense linear algebra supercomputers. The TPUs' fast inter-core interconnects (ICI)s, physically…

Computational Physics · Physics 2022-09-14 Adam G. M. Lewis , Jackson Beall , Martin Ganahl , Markus Hauru , Shrestha Basu Mallick , Guifre Vidal

Recent advancements in hardware accelerators such as Tensor Processing Units (TPUs) speed up computation time relative to Central Processing Units (CPUs) not only for machine learning but, as demonstrated here, also for scientific modeling…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-22 Damien Pierce , R. Lily Hu , Yusef Shafi , Anudhyan Boral , Vladimir Anisimov , Sella Nevo , Yi-fan Chen

An overview of the Conquest linear scaling density functional theory (DFT) code is given, focussing particularly on the scaling behaviour on modern high- performance computing (HPC) platforms. We demonstrate that essentially perfect linear…

Materials Science · Physics 2010-02-03 D. R. Bowler , T. Miyazaki

We present the Tucker tensor DFT (TTDFT) code which uses a tensor-structured algorithm with graphic processing unit (GPU) acceleration for conducting ground-state DFT calculations on large-scale systems. The Tucker tensor DFT algorithm uses…

Computational Physics · Physics 2021-11-01 Chih-Chuen Lin , Vikram Gavini

Google's Tensor Processing Units (TPUs) are integrated circuits specifically built to accelerate and scale up machine learning workloads. They can perform fast distributed matrix multiplications and therefore be repurposed for other…

Strongly Correlated Electrons · Physics 2023-06-27 Martin Ganahl , Jackson Beall , Markus Hauru , Adam G. M. Lewis , Jae Hyeon Yoo , Yijian Zou , Guifre Vidal

Density-functional theory (DFT) has revolutionized computer simulations in chemistry and material science. A faithful implementation of the theory requires self-consistent calculations. However, this effort involves repeatedly diagonalizing…

Quantum Physics · Physics 2023-07-17 Taehee Ko , Xiantao Li , Chunhao Wang

Density functional theory (DFT) has been a cornerstone in computational chemistry, physics, and materials science for decades, benefiting from advancements in computational power and theoretical methods. This paper introduces a novel,…

We present DFT-FE 1.0, building on DFT-FE 0.6 [Comput. Phys. Commun. 246, 106853 (2020)], to conduct fast and accurate large-scale density functional theory (DFT) calculations (reaching ~ $100,000$ electrons) on both many-core CPU and…

Computational Physics · Physics 2022-08-31 Sambit Das , Phani Motamarri , Vishal Subramanian , David M. Rogers , Vikram Gavini

We discuss the application of graphical processing units (GPUs) to accelerate real-space density functional theory (DFT) calculations. To make our implementation efficient, we have developed a scheme to expose the data parallelism available…

Computational Physics · Physics 2013-09-02 Xavier Andrade , Alán Aspuru-Guzik

A computational fluid dynamics (CFD) simulation framework for fluid-flow prediction is developed on the Tensor Processing Unit (TPU) platform. The TPU architecture is featured with accelerated dense matrix multiplication, large high…

Computational Physics · Physics 2022-03-02 Qing Wang , Matthias Ihme , Yi-Fan Chen , John Anderson

This whitepaper proposes the design and adoption of a new generation of Tensor Processing Unit which has the performance of Google's TPU, yet performs operations on wide precision data. The new generation TPU is made possible by…

Hardware Architecture · Computer Science 2017-06-13 Eric B. Olsen

The increasing availability of GPUs for scientific computing has prompted interest in accelerating quantum chemical calculations through their use. The complexity of integral kernels for high angular momentum basis functions however often…

Tensor Processing Units (TPUs) are specialized hardware accelerators for deep learning developed by Google. This paper aims to explore TPUs in cloud and edge computing focusing on its applications in AI. We provide an overview of TPUs,…

Hardware Architecture · Computer Science 2023-11-15 Diego Sanmartín Carrión , Vera Prohaska

High performance computing (HPC) is a powerful tool to accelerate the Kohn-Sham density functional theory (KS-DFT) calculations on modern heterogeneous supercomputers. Here, we describe a massively extreme-scale parallel and portable…

Computational Physics · Physics 2020-04-20 Wei Hu , Xinming Qin , Caiqing Jiang , Junshi Chen , Hong An , Weile Jia , Fang Li , Xin Liu , Dexun Chen , Jinlong Yang

To respond to the need of efficient training and inference of deep neural networks, a plethora of domain-specific hardware architectures have been introduced, such as Google Tensor Processing Units and NVIDIA Tensor Cores. A common feature…

Data Structures and Algorithms · Computer Science 2020-07-10 Rezaul Chowdhury , Francesco Silvestri , Flavio Vella

In this work, we present two parallel algorithms for the large-scale discrete Fourier transform (DFT) on Tensor Processing Unit (TPU) clusters. The two parallel algorithms are associated with two formulations of DFT: one is based on the…

Mathematical Software · Computer Science 2020-12-15 Tianjian Lu , Yi-Fan Chen , Blake Hechtman , Tao Wang , John Anderson

Continent-scale datasets challenge hydrological algorithms for processing digital elevation models. Flow accumulation is an important input for many such algorithms; here, I parallelize its calculation. The new algorithm works on one or…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-31 Richard Barnes

Tensor Processing Units (TPUs) are specialized hardware accelerators developed by Google to support large-scale machine-learning tasks, but they can also be leveraged to accelerate and scale other linear-algebra-intensive computations. In…

The implementation of a full electronic structure calculation code on a hybrid parallel architecture with Graphic Processing Units (GPU) is presented. The code which is on the basis of our implementation is a GNU-GPL code based on…

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