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Constrained counting is a fundamental problem in artificial intelligence. A promising new algebraic approach to constrained counting makes use of tensor networks, following a reduction from constrained counting to the problem of…

Data Structures and Algorithms · Computer Science 2020-04-29 Jeffrey M. Dudek , Leonardo Dueñas-Osorio , Moshe Y. Vardi

The Nvidia GPU architecture has introduced new computing elements such as the \textit{tensor cores}, which are special processing units dedicated to perform fast matrix-multiply-accumulate (MMA) operations and accelerate \textit{Deep…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-12 Roberto Carrasco , Raimundo Vega , Cristóbal A. Navarro

Parallel tensor network contraction algorithms have emerged as the pivotal benchmarks for assessing the classical limits of computation, exemplified by Google's demonstration of quantum supremacy through random circuit sampling. However,…

Information Theory · Computer Science 2024-05-24 Jin Lee , Sofia Gonzalez-Garcia , Zheng Zhang , Haewon Jeong

Many research works have been performed on implementation of Vitrerbi decoding algorithm on GPU instead of FPGA because this platform provides considerable flexibility in addition to great performance. Recently, the recently-introduced…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-30 Alireza Mohammadidoost , Matin Hashemi

Tensor networks are the main building blocks in a wide variety of computational sciences, ranging from many-body theory and quantum computing to probability and machine learning. Here we propose a parallel algorithm for the contraction of…

Quantum Physics · Physics 2021-01-04 Roman Schutski , Dmitry Kolmakov , Taras Khakhulin , Ivan Oseledets

Convolutional neural networks show outstanding results in a variety of computer vision tasks. However, a neural network architecture design usually faces a trade-off between model performance and computational/memory complexity. For some…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Pavel Kaloshin

Most research in quantum computing today is performed against simulations of quantum computers rather than true quantum computers. Simulating a quantum computer entails implementing all of the unitary operators corresponding to the quantum…

Quantum Physics · Physics 2021-08-17 Maksim Levental

Improving the computational efficiency of quantum many-body calculations from a hardware perspective remains a critical challenge. Although field-programmable gate arrays (FPGAs) have recently been exploited to improve the computational…

Strongly Correlated Electrons · Physics 2026-02-06 Songtai Lv , Yang Liang , Rui Zhu , Qibin Zheng , Haiyuan Zou

Tensor computations present significant performance challenges that impact a wide spectrum of applications ranging from machine learning, healthcare analytics, social network analysis, data mining to quantum chemistry and signal processing.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-06 Jiajia Li , Mahesh Lakshminarasimhan , Xiaolong Wu , Ang Li , Catherine Olschanowsky , Kevin Barker

Tensor networks represent the state-of-the-art in computational methods across many disciplines, including the classical simulation of quantum many-body systems and quantum circuits. Several applications of current interest give rise to…

Quantum Physics · Physics 2021-03-17 Johnnie Gray , Stefanos Kourtis

Tensor networks have proven to be a valuable tool, for instance, in the classical simulation of (strongly correlated) quantum systems. As the size of the systems increases, contracting larger tensor networks becomes computationally…

Quantum Physics · Physics 2025-07-29 Manuel Geiger , Qunsheng Huang , Christian B. Mendl

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

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…

Numerical Analysis · Mathematics 2021-09-08 Hussam Al Daas , Grey Ballard , Peter Benner

The deployment of convolutional neural networks is often hindered by high computational and storage requirements. Structured model pruning is a promising approach to alleviate these requirements. Using the VGG-16 model as an example, we…

Machine Learning · Computer Science 2021-07-22 Kongtao Chen , Ken Franko , Ruoxin Sang

Techniques for approximately contracting tensor networks are limited in how efficiently they can make use of parallel computing resources. In this work we demonstrate and characterize a Monte Carlo approach to the tensor network…

Strongly Correlated Electrons · Physics 2017-10-12 William Huggins , C. Daniel Freeman , Miles Stoudenmire , Norm M. Tubman , K. Birgitta Whaley

The Recurrent Neural Networks and their variants have shown promising performances in sequence modeling tasks such as Natural Language Processing. These models, however, turn out to be impractical and difficult to train when exposed to very…

Computer Vision and Pattern Recognition · Computer Science 2017-07-07 Yinchong Yang , Denis Krompass , Volker Tresp

We introduce a new open-source software library Jet, which uses task-based parallelism to obtain speed-ups in classical tensor-network simulations of quantum circuits. These speed-ups result from i) the increased parallelism introduced by…

There is a significant expansion in both volume and range of applications along with the concomitant increase in the variety of data sources. These ever-expanding trends have highlighted the necessity for more versatile analysis tools that…

Numerical Analysis · Mathematics 2021-09-09 Ilya Kisil , Giuseppe G. Calvi , Kriton Konstantinidis , Yao Lei Xu , Danilo P. Mandic

We use TensorNetwork [C. Roberts et al., arXiv: 1905.01330], a recently developed API for performing tensor network contractions using accelerated backends such as TensorFlow, to implement an optimization algorithm for the Multi-scale…

Computational Physics · Physics 2019-07-01 Martin Ganahl , Ashley Milsted , Stefan Leichenauer , Jack Hidary , Guifre Vidal

Recurrent neural networks (RNNs) are powerful tools for sequential modeling, but typically require significant overparameterization and regularization to achieve optimal performance. This leads to difficulties in the deployment of large…

Machine Learning · Computer Science 2021-11-11 Charles C. Onu , Jacob E. Miller , Doina Precup
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