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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…

Deploying deep learning models on various devices has become an important topic. The wave of hardware specialization brings a diverse set of acceleration primitives for multi-dimensional tensor computations. These new acceleration…

Machine Learning · Computer Science 2022-10-31 Siyuan Feng , Bohan Hou , Hongyi Jin , Wuwei Lin , Junru Shao , Ruihang Lai , Zihao Ye , Lianmin Zheng , Cody Hao Yu , Yong Yu , Tianqi Chen

Tensor permutation is a fundamental operation widely applied in AI, tensor networks, and related fields. However, it is extremely complex, and different shapes and permutation maps can make a huge difference. SIMD permutation began to be…

Data Structures and Algorithms · Computer Science 2025-06-05 Yaojian Chen , Tianyu Ma , An Yang , Lin Gan , Wenlai Zhao , Guangwen Yang

Tensor networks (TNs) are a central computational tool in quantum science and artificial intelligence. However, the lack of unified software interface across tensor-computing frameworks severely limits the portability of TN applications,…

Quantum Physics · Physics 2026-01-01 Rong-Yang Sun , Tomonori Shirakawa , Hidehiko Kohshiro , D. N. Sheng , Seiji Yunoki

Sparse Tensor Compilers (STCs) have emerged as critical infrastructure for optimizing high-dimensional data analytics and machine learning workloads. The STCs must synthesize complex, irregular control flow for various compressed storage…

Programming Languages · Computer Science 2026-03-20 Kabilan Mahathevan , Yining Zhang , Muhammad Ali Gulzar , Kirshanthan Sundararajah

We propose a strategy to compress and store large volumes of scientific data represented on unstructured grids. Approaches utilizing tensor decompositions for data compression have already been proposed. Here, data on a structured grid is…

Numerical Analysis · Mathematics 2024-09-23 Prashant Rai , Hemanth Kolla , Lewis Cannada , Alex Gorodetsky

Numerical tensor calculus comprise basic tensor operations such as the entrywise addition and contraction of higher-order tensors. We present, TLib, flexible tensor framework with generic tensor functions and tensor classes that assists…

Mathematical Software · Computer Science 2017-11-30 Cem Bassoy

The success and popularity of deep learning is on the rise, partially due to powerful deep learning frameworks such as TensorFlow and PyTorch that make it easier to develop deep learning models. However, these libraries also come with steep…

Programming Languages · Computer Science 2022-04-11 Kensen Shi , David Bieber , Rishabh Singh

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

This paper introduces the first release of Pytearcat, a Python package developed to compute tensor algebra operations in the context of theoretical physics, for instance, in general relativity. Given that working with tensors can become a…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Marco San Martín , Joaquin Sureda

This paper shows how to generate code that efficiently converts sparse tensors between disparate storage formats (data layouts) such as CSR, DIA, ELL, and many others. We decompose sparse tensor conversion into three logical phases:…

Mathematical Software · Computer Science 2020-07-01 Stephen Chou , Fredrik Kjolstad , Saman Amarasinghe

Tucker decomposition is one of the most popular models for analyzing and compressing large-scale tensorial data. Existing Tucker decomposition algorithms usually rely on a single solver to compute the factor matrices and core tensor, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-21 Min Li , Chuanfu Xiao , Chao Yang

TensorNetwork is an open source library for implementing tensor network algorithms. Tensor networks are sparse data structures originally designed for simulating quantum many-body physics, but are currently also applied in a number of other…

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

TeNeS (Tensor Network Solver) is a free/libre open-source software program package for calculating two-dimensional many-body quantum states based on the tensor network method and the corner transfer matrix renormalization group (CTMRG)…

Strongly Correlated Electrons · Physics 2022-06-17 Yuichi Motoyama , Tsuyoshi Okubo , Kazuyoshi Yoshimi , Satoshi Morita , Takeo Kato , Naoki Kawashima

We demonstrate Tensor Query Processor (TQP): a query processor that automatically compiles relational operators into tensor programs. By leveraging tensor runtimes such as PyTorch, TQP is able to: (1) integrate with ML tools (e.g., Pandas…

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

Efficient execution of deep learning workloads on dataflow architectures is crucial for overcoming memory bottlenecks and maximizing performance. While streaming intermediate results between computation kernels can significantly improve…

Hardware Architecture · Computer Science 2025-09-24 Hanchen Ye , Deming Chen

Datasets of different characteristics are needed by the research community for experimental purposes. However, real data may be difficult to obtain due to privacy concerns. Moreover, real data may not meet specific characteristics which are…

Databases · Computer Science 2013-11-15 Vanessa Ayala-Rivera , Patrick McDonagh , Thomas Cerqueus , Liam Murphy

The availability of large datasets is crucial for the development of new power system applications and tools; unfortunately, very few are publicly and freely available. We designed an end-to-end generative framework for the creation of…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Andrea Pinceti , Lalitha Sankar , Oliver Kosut