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Deep learning recommendation models (DLRMs) are widely used in industry, and their memory capacity requirements reach the terabyte scale. Tiered memory architectures provide a cost-effective solution but introduce challenges in…

Performance · Computer Science 2025-11-12 Jie Ren , Bin Ma , Shuangyan Yang , Benjamin Francis , Ehsan K. Ardestani , Min Si , Dong Li

Tensor train (TT) format is a common approach for computationally efficient work with multidimensional arrays, vectors, matrices, and discretized functions in a wide range of applications, including computational mathematics and machine…

Numerical Analysis · Mathematics 2022-09-30 Andrei Chertkov , Gleb Ryzhakov , Georgii Novikov , Ivan Oseledets

Tensor contraction (TC) is an important computational kernel widely used in numerous applications. It is a multi-dimensional generalization of matrix multiplication (GEMM). While Strassen's algorithm for GEMM is well studied in theory and…

Mathematical Software · Computer Science 2017-04-12 Jianyu Huang , Devin A. Matthews , Robert A. van de Geijn

Dimensionality reduction is an essential technique for multi-way large-scale data, i.e., tensor. Tensor ring (TR) decomposition has become popular due to its high representation ability and flexibility. However, the traditional TR…

Numerical Analysis · Mathematics 2024-12-20 Longhao Yuan , Chao Li , Jianting Cao , Qibin Zhao

Many real-world datasets are represented as tensors, i.e., multi-dimensional arrays of numerical values. Storing them without compression often requires substantial space, which grows exponentially with the order. While many tensor…

Machine Learning · Computer Science 2023-09-21 Taehyung Kwon , Jihoon Ko , Jinhong Jung , Kijung Shin

Deep neural networks (DNNs) have enabled impressive breakthroughs in various artificial intelligence (AI) applications recently due to its capability of learning high-level features from big data. However, the current demand of DNNs for…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Bijiao Wu , Dingheng Wang , Guangshe Zhao , Lei Deng , Guoqi Li

In this work, we firstly apply the Train-Tensor (TT) networks to construct a compact representation of the classical Multilayer Perceptron, representing a reduction of up to 95% of the coefficients. A comparative analysis between tensor…

Machine Learning · Computer Science 2021-03-31 M. Nazareth da Costa , R. Attux , A. Cichocki , J. M. T. Romano

Most currently used tensor regression models for high-dimensional data are based on Tucker decomposition, which has good properties but loses its efficiency in compressing tensors very quickly as the order of tensors increases, say greater…

Methodology · Statistics 2024-03-20 Yuefeng Si , Yingying Zhang , Yuxi Cai , Chunling Liu , Guodong Li

In recent years, Long Short-Term Memory (LSTM) has become a popular choice for speech separation and speech enhancement task. The capability of LSTM network can be enhanced by widening and adding more layers. However, this would introduce…

Sound · Computer Science 2018-12-27 Suman Samui , Indrajit Chakrabarti , Soumya K. Ghosh

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

In recommendation systems, practitioners observed that increase in the number of embedding tables and their sizes often leads to significant improvement in model performances. Given this and the business importance of these models to major…

Machine Learning · Computer Science 2020-10-26 Jie Amy Yang , Jianyu Huang , Jongsoo Park , Ping Tak Peter Tang , Andrew Tulloch

Deep neural networks currently demonstrate state-of-the-art performance in several domains. At the same time, models of this class are very demanding in terms of computational resources. In particular, a large amount of memory is required…

Machine Learning · Computer Science 2015-12-22 Alexander Novikov , Dmitry Podoprikhin , Anton Osokin , Dmitry Vetrov

Deep learning recommendation systems serve personalized content under diverse tail-latency targets and input-query loads. In order to do so, state-of-the-art recommendation models rely on terabyte-scale embedding tables to learn user…

Hardware Architecture · Computer Science 2023-02-22 Samuel Hsia , Udit Gupta , Bilge Acun , Newsha Ardalani , Pan Zhong , Gu-Yeon Wei , David Brooks , Carole-Jean Wu

Tensor robust principal component analysis (TRPCA) is a fundamental model in machine learning and computer vision. Recently, tensor train (TT) decomposition has been verified effective to capture the global low-rank correlation for tensor…

Machine Learning · Computer Science 2022-03-14 Yuning Qiu , Guoxu Zhou , Zhenhao Huang , Qibin Zhao , Shengli Xie

Learning neural fields has been an active topic in deep learning research, focusing, among other issues, on finding more compact and easy-to-fit representations. In this paper, we introduce a novel low-rank representation termed Tensor…

Machine Learning · Computer Science 2022-10-03 Anton Obukhov , Mikhail Usvyatsov , Christos Sakaridis , Konrad Schindler , Luc Van Gool

Small Language Models (SLMs, or on-device LMs) have significantly fewer parameters than Large Language Models (LLMs). They are typically deployed on low-end devices, like mobile phones and single-board computers. Unlike LLMs, which rely on…

Computation and Language · Computer Science 2025-06-17 Mingxue Xu , Yao Lei Xu , Danilo P. Mandic

Tensor ring (TR) decomposition has recently received increased attention due to its superior expressive performance for high-order tensors. However, the applicability of traditional TR decomposition algorithms to real-world applications is…

Machine Learning · Computer Science 2023-05-17 Yicong He , George K. Atia

Machine learning and data mining algorithms are becoming increasingly important in analyzing large volume, multi-relational and multi--modal datasets, which are often conveniently represented as multiway arrays or tensors. It is therefore…

Numerical Analysis · Computer Science 2017-09-12 A. Cichocki , N. Lee , I. V. Oseledets , A. -H. Phan , Q. Zhao , D. Mandic

This work proposes a novel tensor train random projection (TTRP) method for dimension reduction, where pairwise distances can be approximately preserved. Our TTRP is systematically constructed through a tensor train (TT) representation with…

Machine Learning · Statistics 2021-10-22 Yani Feng , Kejun Tang , Lianxing He , Pingqiang Zhou , Qifeng Liao

Despite rapid advancements, machine learning, particularly deep learning, is hindered by the need for large amounts of labeled data to learn meaningful patterns without overfitting and immense demands for computation and storage, which…

Machine Learning · Computer Science 2025-06-30 Xiaobo Zhao , Aaron Hurst , Panagiotis Karras , Daniel E. Lucani