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Using GPU-based HPC platforms efficiently for coupled cluster computations is a challenge due to heterogeneous hardware structures. The constant need to adapt software to these structures and the required man-hours makes a systematization…

Chemical Physics · Physics 2025-10-07 Jan Brandejs , Johann Pototschnig , Trond Saue

This paper describes a flexible framework for generalized low-rank tensor estimation problems that includes many important instances arising from applications in computational imaging, genomics, and network analysis. The proposed estimator…

Statistics Theory · Mathematics 2021-02-08 Rungang Han , Rebecca Willett , Anru R. Zhang

This work studies the porting and optimization of the tensor network simulator QTensor on GPUs, with the ultimate goal of simulating quantum circuits efficiently at scale on large GPU supercomputers. We implement NumPy, PyTorch, and CuPy…

Quantum Physics · Physics 2022-04-14 Danylo Lykov , Angela Chen , Huaxuan Chen , Kristopher Keipert , Zheng Zhang , Tom Gibbs , Yuri Alexeev

Rotation equivariant graph neural networks, i.e. networks designed to guarantee certain geometric relations between their inputs and outputs, yield state of the art performance on spatial deep learning tasks. They exhibit high data…

Machine Learning · Computer Science 2025-05-12 Vivek Bharadwaj , Austin Glover , Aydin Buluc , James Demmel

High-performance sparse matrix-matrix (SpMM) multiplication is paramount for science and industry, as the ever-increasing sizes of data prohibit using dense data structures. Yet, existing hardware, such as Tensor Cores (TC), is ill-suited…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-22 Patrik Okanovic , Grzegorz Kwasniewski , Paolo Sylos Labini , Maciej Besta , Flavio Vella , Torsten Hoefler

Local search plays a central role in many effective heuristic algorithms for the vehicle routing problem (VRP) and its variants. However, neighborhood exploration is known to be computationally expensive and time consuming, especially for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-30 Zhenyu Lei , Jin-Kao Hao , Qinghua Wu

Tensor programs often need to process large tensors (vectors, matrices, or higher order tensors) that require a specialized storage format for their memory layout. Several such layouts have been proposed in the literature, such as the…

Databases · Computer Science 2022-10-13 Maximilian Schleich , Amir Shaikhha , Dan Suciu

FFT (fast Fourier transform) plays a very important role in many fields, such as digital signal processing, digital image processing and so on. However, in application, FFT becomes a factor of affecting the processing efficiency, especially…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-25 Fan Zhang , Chen Hu , Qiang Yin , Wei Hu

Driven by the insatiable needs to process ever larger amount of data with more complex models, modern computer processors and accelerators are beginning to offer half precision floating point arithmetic support, and extremely optimized…

Mathematical Software · Computer Science 2019-12-12 Shaoshuai Zhang , Panruo Wu

Graph coloring has been broadly used to discover concurrency in parallel computing. To speedup graph coloring for large-scale datasets, parallel algorithms have been proposed to leverage modern GPUs. Existing GPU implementations either have…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Xuhao Chen , Pingfan Li , Jianbin Fang , Tao Tang , Zhiying Wang , Canqun Yang

As tensor-valued data become increasingly common in time series analysis, there is a growing need for flexible and interpretable models that can handle high-dimensional predictors and responses across multiple modes. We propose a unified…

Methodology · Statistics 2025-06-10 Shibo Li , Yao Zheng

Sparse data structures are commonly used in neural networks to reduce the memory footprint. These data structures are compact but cause irregularities such as random memory accesses, which prevent efficient use of the memory hierarchy. GPUs…

Programming Languages · Computer Science 2025-06-19 Hossein Albakri , Kazem Cheshmi

Tensor operations dominate modern computational workloads, yet their further acceleration demands hardware platforms with greater parallelism. Although photonic computing provides a compelling route for parallel processing, fully exploiting…

Surface wave tomography is essential for investigating the shear-wave velocity structure of the crust and upper mantle. The direct surface wave tomography method, DSurfTomo, has become one of the most widely adopted packages due to its…

Geophysics · Physics 2026-04-15 Shaohang Zhu , Junlun Li , Guoyi Chen , Hongjian Fang , Huajian Yao

Despite foreseeing tremendous speedups over conventional deep neural networks, the performance advantage of binarized neural networks (BNNs) has merely been showcased on general-purpose processors such as CPUs and GPUs. In fact, due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-16 Ang Li , Simon Su

Tensor methods have gained increasingly attention from various applications, including machine learning, quantum chemistry, healthcare analytics, social network analysis, data mining, and signal processing, to name a few. Sparse tensors and…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-12 Jiajia Li , Yuchen Ma , Xiaolong Wu , Ang Li , Kevin Barker

The analysis of high-dimensional sparse data is becoming increasingly popular in many important domains. However, real-world sparse tensors are challenging to process due to their irregular shapes and data distributions. We propose the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-28 Ahmed E. Helal , Jan Laukemann , Fabio Checconi , Jesmin Jahan Tithi , Teresa Ranadive , Fabrizio Petrini , Jeewhan Choi

Tensor train (TT) decomposition provides a space-efficient representation for higher-order tensors. Despite its advantage, we face two crucial limitations when we apply the TT decomposition to machine learning problems: the lack of…

Machine Learning · Statistics 2017-08-03 Masaaki Imaizumi , Takanori Maehara , Kohei Hayashi

Tensor decomposition has become an essential tool in many applications in various domains, including machine learning. Sparse Matricized Tensor Times Khatri-Rao Product (MTTKRP) is one of the most computationally expensive kernels in tensor…

Hardware Architecture · Computer Science 2021-09-21 Sasindu Wijeratne , Rajgopal Kannan , Viktor Prasanna

The Transformer has been an indispensable staple in deep learning. However, for real-life applications, it is very challenging to deploy efficient Transformers due to immense parameters and operations of models. To relieve this burden,…

Hardware Architecture · Computer Science 2022-11-01 Chao Fang , Aojun Zhou , Zhongfeng Wang