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Recurrent Neural Networks (RNNs) are powerful sequence modeling tools. However, when dealing with high dimensional inputs, the training of RNNs becomes computational expensive due to the large number of model parameters. This hinders RNNs…

Machine Learning · Computer Science 2018-05-23 Jinmian Ye , Linnan Wang , Guangxi Li , Di Chen , Shandian Zhe , Xinqi Chu , Zenglin Xu

In this work, we introduce an interior-point method that employs tensor decompositions to efficiently represent and manipulate the variables and constraints of semidefinite programs, targeting problems where the solutions may not be…

Optimization and Control · Mathematics 2025-09-16 Frederik Kelbel , Sergey Dolgov , Dante Kalise , Alessandra Russo

Compressing neural nets is an active research problem, given the large size of state-of-the-art nets for tasks such as object recognition, and the computational limits imposed by mobile devices. We give a general formulation of model…

Machine Learning · Computer Science 2017-07-06 Miguel Á. Carreira-Perpiñán

Convolutional Neural Networks (CNNs) is one of successful method in many areas such as image classification tasks. However, the amount of memory and computational cost needed for CNNs inference obstructs them to run efficiently in mobile…

Machine Learning · Computer Science 2018-01-17 Marcella Astrid , Seung-Ik Lee , Beom-Su Seo

To enable DNNs on edge devices like mobile phones, low-rank approximation has been widely adopted because of its solid theoretical rationale and efficient implementations. Several previous works attempted to directly approximate a…

Machine Learning · Computer Science 2020-05-01 Yuhui Xu , Yuxi Li , Shuai Zhang , Wei Wen , Botao Wang , Yingyong Qi , Yiran Chen , Weiyao Lin , Hongkai Xiong

Compression and computational efficiency in deep learning have become a problem of great significance. In this work, we argue that the most principled and effective way to attack this problem is by adopting a Bayesian point of view, where…

Machine Learning · Statistics 2017-11-07 Christos Louizos , Karen Ullrich , Max Welling

Network compression reduces the computational complexity and memory consumption of deep neural networks by reducing the number of parameters. In SVD-based network compression, the right rank needs to be decided for every layer of the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Hyeji Kim , Muhammad Umar Karim Khan , Chong-Min Kyung

The so-called block-term decomposition (BTD) tensor model, especially in its rank-$(L_r,L_r,1)$ version, has been recently receiving increasing attention due to its enhanced ability of representing systems and signals that are composed of…

Methodology · Statistics 2022-05-04 Paris V. Giampouras , Athanasios A. Rontogiannis , Eleftherios Kofidis

Deep neural networks (DNNs) have been quite successful in solving many complex learning problems. However, DNNs tend to have a large number of learning parameters, leading to a large memory and computation requirement. In this paper, we…

Machine Learning · Computer Science 2019-05-21 Sangkyun Lee , Jeonghyun Lee

Deep neuroevolution is a highly scalable alternative to reinforcement learning due to its unique ability to encode network updates in a small number of bytes. Recent insights from traditional deep learning indicate high-dimensional models…

Neural and Evolutionary Computing · Computer Science 2025-04-07 Jack Garbus , Jordan Pollack

Recently, there has been a growing interest in efficient numerical algorithms based on tensor networks and low-rank techniques to approximate high-dimensional functions and solutions to high-dimensional PDEs. In this paper, we propose a new…

Numerical Analysis · Mathematics 2023-08-16 Alec Dektor , Daniele Venturi

In recent years, great progress has been made in a variety of application domains thanks to the development of increasingly deeper neural networks. Unfortunately, the huge number of units of these networks makes them expensive both…

Computer Vision and Pattern Recognition · Computer Science 2018-10-12 Jose M. Alvarez , Mathieu Salzmann

Highly performing deep neural networks come at the cost of computational complexity that limits their practicality for deployment on portable devices. We propose the low-rank transformer (LRT), a memory-efficient and fast neural…

Computation and Language · Computer Science 2020-02-17 Genta Indra Winata , Samuel Cahyawijaya , Zhaojiang Lin , Zihan Liu , Pascale Fung

Constrained counting is a fundamental problem in artificial intelligence. A promising new algebraic approach to constrained counting makes use of tensor networks, following a reduction from constrained counting to the problem of…

Data Structures and Algorithms · Computer Science 2020-04-29 Jeffrey M. Dudek , Leonardo Dueñas-Osorio , Moshe Y. Vardi

Recurrent neural networks (RNNs) are powerful tools for sequential modeling, but typically require significant overparameterization and regularization to achieve optimal performance. This leads to difficulties in the deployment of large…

Machine Learning · Computer Science 2021-11-11 Charles C. Onu , Jacob E. Miller , Doina Precup

Backward propagation (BP) is widely used to compute the gradients in neural network training. However, it is hard to implement BP on edge devices due to the lack of hardware and software resources to support automatic differentiation. This…

Machine Learning · Computer Science 2023-10-11 Yequan Zhao , Xinling Yu , Zhixiong Chen , Ziyue Liu , Sijia Liu , Zheng Zhang

Tensor networks provide a powerful framework for compressing multi-dimensional data. The optimal tensor network structure for a given data tensor depends on both data characteristics and specific optimality criteria, making tensor network…

Computational Engineering, Finance, and Science · Computer Science 2026-03-23 Zheng Guo , Aditya Deshpande , Brian Kiedrowski , Xinyu Wang , Alex Gorodetsky

We propose an end-to-end trainable framework that processes large-scale visual data tensors by looking at a fraction of their entries only. Our method combines a neural network encoder with a tensor train decomposition to learn a low-rank…

Computer Vision and Pattern Recognition · Computer Science 2021-11-15 Mikhail Usvyatsov , Anastasia Makarova , Rafael Ballester-Ripoll , Maxim Rakhuba , Andreas Krause , Konrad Schindler

High-order tensor decomposition has been widely adopted to obtain compact deep neural networks for edge deployment. However, existing studies focus primarily on its algorithmic advantages such as accuracy and compression ratio-while…

Hardware Architecture · Computer Science 2025-11-26 Jinsong Zhang , Minghe Li , Jiayi Tian , Jinming Lu , Zheng Zhang

Deep neural networks have demonstrated state-of-the-art performance in a variety of real-world applications. In order to obtain performance gains, these networks have grown larger and deeper, containing millions or even billions of…

Machine Learning · Computer Science 2018-02-27 Wenqi Wang , Yifan Sun , Brian Eriksson , Wenlin Wang , Vaneet Aggarwal
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