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Related papers: Compressing Structured Tensor Algebra

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As the data size in Machine Learning fields grows exponentially, it is inevitable to accelerate the computation by utilizing the ever-growing large number of available cores provided by high-performance computing hardware. However, existing…

Machine Learning · Computer Science 2021-04-23 Kun Li , Liang Yuan , Yunquan Zhang , Gongwei Chen

The tensor network, as a facterization of tensors, aims at performing the operations that are common for normal tensors, such as addition, contraction and stacking. However, due to its non-unique network structure, only the tensor network…

Machine Learning · Computer Science 2022-05-25 Tianning Zhang , Tianqi Chen , Erping Li , Bo Yang , L. K. Ang

Tensor decomposition (TD) is an important method for extracting latent information from high-dimensional (multi-modal) sparse data. This study presents a novel framework for accelerating fundamental TD operations on massively parallel GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-29 Andy Nguyen , Ahmed E. Helal , Fabio Checconi , Jan Laukemann , Jesmin Jahan Tithi , Yongseok Soh , Teresa Ranadive , Fabrizio Petrini , Jee W. Choi

Deep neural networks (DNNs) usually demand a large amount of operations for real-time inference. Especially, fully-connected layers contain a large number of weights, thus they usually need many off-chip memory accesses for inference. We…

Computer Vision and Pattern Recognition · Computer Science 2017-07-13 Yoonho Boo , Wonyong Sung

Tensor network contractions are widely used in statistical physics, quantum computing, and computer science. We introduce a method to efficiently approximate tensor network contractions using low-rank approximations, where each intermediate…

Quantum Physics · Physics 2025-01-01 Linjian Ma , Matthew Fishman , Miles Stoudenmire , Edgar Solomonik

Tensor regression has shown to be advantageous in learning tasks with multi-directional relatedness. Given massive multiway data, traditional methods are often too slow to operate on or suffer from memory bottleneck. In this paper, we…

Machine Learning · Computer Science 2016-07-12 Rose Yu , Yan Liu

Spectral graph theory-based methods represent an important class of tools for studying the structure of networks. Spectral methods are based on a first-order Markov chain derived from a random walk on the graph and thus they cannot take…

Social and Information Networks · Computer Science 2018-01-08 Austin R. Benson , David F. Gleich , Jure Leskovec

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

Symmetric and sparse tensors arise naturally in many domains including linear algebra, statistics, physics, chemistry, and graph theory. Symmetric tensors are equal to their transposes, so in the $n$-dimensional case we can save up to a…

Mathematical Software · Computer Science 2025-01-27 Radha Patel , Willow Ahrens , Saman Amarasinghe

Clustering the nodes of a graph is a cornerstone of graph analysis and has been extensively studied. However, some popular methods are not suitable for very large graphs: e.g., spectral clustering requires the computation of the spectral…

Machine Learning · Computer Science 2025-06-13 Etienne Lasalle , Rémi Vaudaine , Titouan Vayer , Pierre Borgnat , Rémi Gribonval , Paulo Gonçalves , Màrton Karsai

Tensor computations overwhelm traditional general-purpose computing devices due to the large amounts of data and operations of the computations. They call for a holistic solution composed of both hardware acceleration and software mapping.…

Hardware Architecture · Computer Science 2021-05-05 Qingcheng Xiao , Size Zheng , Bingzhe Wu , Pengcheng Xu , Xuehai Qian , Yun Liang

In this era of big data, data analytics and machine learning, it is imperative to find ways to compress large data sets such that intrinsic features necessary for subsequent analysis are not lost. The traditional workhorse for data…

Numerical Analysis · Mathematics 2020-01-03 Misha Kilmer , Lior Horesh , Haim Avron , Elizabeth Newman

Learning the structure of Directed Acyclic Graphs (DAGs) presents a significant challenge due to the vast combinatorial search space of possible graphs, which scales exponentially with the number of nodes. Recent advancements have redefined…

Machine Learning · Computer Science 2024-11-01 Klea Ziu , Slavomír Hanzely , Loka Li , Kun Zhang , Martin Takáč , Dmitry Kamzolov

The compression of deep neural networks (DNNs) to reduce inference cost becomes increasingly important to meet realistic deployment requirements of various applications. There have been a significant amount of work regarding network…

Machine Learning · Computer Science 2020-11-12 Tianyi Chen , Bo Ji , Yixin Shi , Tianyu Ding , Biyi Fang , Sheng Yi , Xiao Tu

Deep learning architectures for supervised learning on tabular data range from simple multilayer perceptrons (MLP) to sophisticated Transformers and retrieval-augmented methods. This study highlights a major, yet so far overlooked…

Machine Learning · Computer Science 2025-02-19 Yury Gorishniy , Akim Kotelnikov , Artem Babenko

While deep learning has achieved remarkable success across many domains, it has historically underperformed on tabular learning tasks, which remain dominated by gradient boosting decision trees. However, recent advancements are paving the…

Machine Learning · Computer Science 2025-10-31 Alan Arazi , Eilam Shapira , Roi Reichart

The exponential growth of artificial intelligence (AI) and machine learning (ML) applications has necessitated the development of efficient storage solutions for vector and tensor data. This paper presents a novel approach for tensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-14 Zhiwei Bao , Liu Liao-Liao , Zhiyu Wu , Yifan Zhou , Dan Fan , Michal Aibin , Yvonne Coady , Andrew Brownsword

In science and engineering, intelligent processing of complex signals such as images, sound or language is often performed by a parameterized hierarchy of nonlinear processing layers, sometimes biologically inspired. Hierarchical systems…

Machine Learning · Computer Science 2012-12-27 Miguel Á. Carreira-Perpiñán , Weiran Wang

Existing methods for Table Structure Recognition (TSR) from camera-captured or scanned documents perform poorly on complex tables consisting of nested rows / columns, multi-line texts and missing cell data. This is because current…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Arushi Jain , Shubham Paliwal , Monika Sharma , Lovekesh Vig

Deep learning algorithms have shown tremendous success in many recognition tasks; however, these algorithms typically include a deep neural network (DNN) structure and a large number of parameters, which makes it challenging to implement…

Neural and Evolutionary Computing · Computer Science 2018-04-23 Shihui Yin , Gaurav Srivastava , Shreyas K. Venkataramanaiah , Chaitali Chakrabarti , Visar Berisha , Jae-sun Seo
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