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With the rapid development of deep learning models and hardware support for dense computing, the deep learning workload characteristics changed significantly from a few hot spots on compute-intensive operations to a broad range of…

Tensors are higher-order extensions of matrices. While matrix methods form the cornerstone of machine learning and data analysis, tensor methods have been gaining increasing traction. However, software support for tensor operations is not…

Machine Learning · Computer Science 2018-05-10 Jean Kossaifi , Yannis Panagakis , Anima Anandkumar , Maja Pantic

Tensor networks are a class of algorithms aimed at reducing the computational complexity of high-dimensional problems. They are used in an increasing number of applications, from quantum simulations to machine learning. Exploiting data…

Numerical Analysis · Mathematics 2024-10-25 Melven Röhrig-Zöllner , Manuel Joey Becklas , Jonas Thies , Achim Basermann

Convolution is one of the fundamental operations of deep neural networks with demanding matrix computation. In a graphic processing unit (GPU), Tensor Core is a specialized matrix processing hardware equipped with reduced-precision…

Machine Learning · Computer Science 2022-02-25 Junkyeong Choi , Hyucksung Kwon , Woongkyu Lee , Jungwook Choi , Jieun Lim

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

Regression analysis is a key area of interest in the field of data analysis and machine learning which is devoted to exploring the dependencies between variables, often using vectors. The emergence of high dimensional data in technologies…

Machine Learning · Statistics 2023-08-23 Jiani Liu , Ce Zhu , Zhen Long , Yipeng Liu

Tensor Networks (TN) offer a powerful framework to efficiently represent very high-dimensional objects. TN have recently shown their potential for machine learning applications and offer a unifying view of common tensor decomposition models…

Machine Learning · Computer Science 2021-06-24 Meraj Hashemizadeh , Michelle Liu , Jacob Miller , Guillaume Rabusseau

Deep learning has become widely used in complex AI applications. Yet, training a deep neural network (DNNs) model requires a considerable amount of calculations, long running time, and much energy. Nowadays, many-core AI accelerators (e.g.,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-12 Yuxin Wang , Qiang Wang , Shaohuai Shi , Xin He , Zhenheng Tang , Kaiyong Zhao , Xiaowen Chu

Tensor algebra finds applications in various domains, and these applications, especially when accelerated on spatial hardware accelerators, can deliver high performance and low power. Spatial hardware accelerator exhibits complex design…

Hardware Architecture · Computer Science 2021-04-27 Liancheng Jia , Zizhang Luo , Liqiang Lu , Yun Liang

As deep learning models nowadays are widely adopted by both cloud services and edge devices, reducing the latency of deep learning model inferences becomes crucial to provide efficient model serving. However, it is challenging to develop…

Machine Learning · Computer Science 2023-02-16 Yaoyao Ding , Cody Hao Yu , Bojian Zheng , Yizhi Liu , Yida Wang , Gennady Pekhimenko

Automatic optimization for tensor programs becomes increasingly important as we deploy deep learning in various environments, and efficient optimization relies on a rich search space and effective search. Most existing efforts adopt a…

Machine Learning · Computer Science 2022-10-11 Junru Shao , Xiyou Zhou , Siyuan Feng , Bohan Hou , Ruihang Lai , Hongyi Jin , Wuwei Lin , Masahiro Masuda , Cody Hao Yu , Tianqi Chen

The groundbreaking performance of deep neural networks (NNs) promoted a surge of interest in providing a mathematical basis to deep learning theory. Low-rank tensor decompositions are specially befitting for this task due to their close…

Machine Learning · Computer Science 2025-12-18 Ricardo Borsoi , Konstantin Usevich , Marianne Clausel

Scientific problems require resolving multi-scale phenomena across different resolutions and learning solution operators in infinite-dimensional function spaces. Neural operators provide a powerful framework for this, using…

DeepTensor is a computationally efficient framework for low-rank decomposition of matrices and tensors using deep generative networks. We decompose a tensor as the product of low-rank tensor factors (e.g., a matrix as the outer product of…

TensorX is a Python library for prototyping, design, and deployment of complex neural network models in TensorFlow. A special emphasis is put on ease of use, performance, and API consistency. It aims to make available high-level components…

Machine Learning · Computer Science 2021-01-05 Davide Nunes , Luis Antunes

Many critical EDA problems suffer from the curse of dimensionality, i.e. the very fast-scaling computational burden produced by large number of parameters and/or unknown variables. This phenomenon may be caused by multiple spatial or…

Numerical Analysis · Computer Science 2016-11-18 Zheng Zhang , Kim Batselier , Haotian Liu , Luca Daniel , Ngai Wong

Producing large complex simulation datasets can often be a time and resource consuming task. Especially when these experiments are very expensive, it is becoming more reasonable to generate synthetic data for downstream tasks. Recently,…

Machine Learning · Computer Science 2025-08-28 Paimon Goulart , Shaan Pakala , Evangelos Papalexakis

Recent studies from several hyperscalars pinpoint to embedding layers as the most memory-intensive deep learning (DL) algorithm being deployed in today's datacenters. This paper addresses the memory capacity and bandwidth challenges of…

Machine Learning · Computer Science 2019-08-27 Youngeun Kwon , Yunjae Lee , Minsoo Rhu

To achieve greater accuracy, hypergraph matching algorithms require exponential increases in computational resources. Recent kd-tree-based approximate nearest neighbor (ANN) methods, despite the sparsity of their compatibility tensor, still…

Computer Vision and Pattern Recognition · Computer Science 2024-05-01 Qixuan Zheng , Ming Zhang , Hong Yan

Kernel orchestration is the task of mapping the computation defined in different operators of a deep neural network (DNN) to the execution of GPU kernels on modern hardware platforms. Prior approaches optimize kernel orchestration by…

Data Structures and Algorithms · Computer Science 2024-06-17 Muyan Hu , Ashwin Venkatram , Shreyashri Biswas , Balamurugan Marimuthu , Bohan Hou , Gabriele Oliaro , Haojie Wang , Liyan Zheng , Xupeng Miao , Jidong Zhai