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Tensor decomposition is one of the well-known approaches to reduce the latency time and number of parameters of a pre-trained model. However, in this paper, we propose an approach to use tensor decomposition to reduce training time of…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 Mostafa Elhoushi , Ye Henry Tian , Zihao Chen , Farhan Shafiq , Joey Yiwei Li

Hardware accelerations of deep learning systems have been extensively investigated in industry and academia. The aim of this paper is to achieve ultra-high energy efficiency and performance for hardware implementations of deep neural…

Machine Learning · Computer Science 2018-02-20 Yanzhi Wang , Caiwen Ding , Zhe Li , Geng Yuan , Siyu Liao , Xiaolong Ma , Bo Yuan , Xuehai Qian , Jian Tang , Qinru Qiu , Xue Lin

Nowadays Deep Learning became widely used in many economic, technical and scientific areas of human interest. It is clear that efficiency of solutions based on Deep Neural Networks should consider not only quality metric for the target…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Anuar Taskynov , Vladimir Korviakov , Ivan Mazurenko , Yepan Xiong

Tensor decomposition has been widely used in machine learning and high-volume data analysis. However, large-scale tensor factorization often consumes huge memory and computing cost. Meanwhile, modernized computing hardware such as tensor…

Optimization and Control · Mathematics 2022-09-12 Zi Yang , Junnan Shan , Zheng Zhang

Energy efficiency of hardware accelerators of deep neural networks (DNN) can be improved by introducing approximate arithmetic circuits. In order to quantify the error introduced by using these circuits and avoid the expensive hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-03 Filip Vaverka , Vojtech Mrazek , Zdenek Vasicek , Lukas Sekanina

Weight pruning in deep neural networks (DNNs) can reduce storage and computation cost, but struggles to bring practical speedup to the model inference time. Tensor-cores can significantly boost the throughput of GPUs on dense computation,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-15 Guyue Huang , Haoran Li , Minghai Qin , Fei Sun , Yufei Ding , Yuan Xie

In this paper we present a novel randomized block coordinate descent method for the minimization of a convex composite objective function. The method uses (approximate) partial second-order (curvature) information, so that the algorithm…

Optimization and Control · Mathematics 2015-05-11 Kimon Fountoulakis , Rachael Tappenden

We present a stochastic first-order optimization algorithm, named BCSC, that adds a cyclic constraint to stochastic block-coordinate descent. It uses different subsets of the data to update different subsets of the parameters, thus limiting…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Kensuke Nakamura , Stefano Soatto , Byung-Woo Hong

In this paper, we consider a non-convex problem which is the sum of $\ell_0$-norm and a convex smooth function under box constraint. We propose one proximal iterative hard thresholding type method with extrapolation step used for…

Optimization and Control · Mathematics 2018-01-03 Xue Zhang , Xiaoqun Zhang

Learning rate scheduling plays a critical role in the optimization of deep neural networks, directly influencing convergence speed, stability, and generalization. While existing schedulers such as cosine annealing, cyclical learning rates,…

Machine Learning · Computer Science 2026-03-05 Ayush K. Varshney , Šarūnas Girdzijauskas , Konstantinos Vandikas , Aneta Vulgarakis Feljan

Non-negative matrix factorization (NMF) is one of the most popular decomposition techniques for multivariate data. NMF is a core method for many machine-learning related computational problems, such as data compression, feature extraction,…

Numerical Analysis · Computer Science 2017-12-07 Gabriele Torre , Michael Graber

This paper aims to accelerate the test-time computation of deep convolutional neural networks (CNNs). Unlike existing methods that are designed for approximating linear filters or linear responses, our method takes the nonlinear units into…

Computer Vision and Pattern Recognition · Computer Science 2014-11-18 Xiangyu Zhang , Jianhua Zou , Xiang Ming , Kaiming He , Jian Sun

We propose general non-accelerated and accelerated tensor methods under inexact information on the derivatives of the objective, analyze their convergence rate. Further, we provide conditions for the inexactness in each derivative that is…

Optimization and Control · Mathematics 2022-12-22 Artem Agafonov , Dmitry Kamzolov , Pavel Dvurechensky , Alexander Gasnikov , Martin Takáč

Hindsight Experience Replay (HER) is a multi-goal reinforcement learning algorithm for sparse reward functions. The algorithm treats every failure as a success for an alternative (virtual) goal that has been achieved in the episode. Virtual…

Machine Learning · Computer Science 2021-03-09 Binyamin Manela , Armin Biess

The relaxed physical factorization (RPF) preconditioner is a recent algorithm allowing for the efficient and robust solution to the block linear systems arising from the three-field displacement-velocity-pressure formulation of coupled…

Numerical Analysis · Mathematics 2021-08-10 Matteo Frigo , Nicola Castelletto , Massimiliano Ferronato

This article introduces new multiplicative updates for nonnegative matrix factorization with the $\beta$-divergence and sparse regularization of one of the two factors (say, the activation matrix). It is well known that the norm of the…

Machine Learning · Computer Science 2024-03-13 Arthur Marmin , José Henrique de Morais Goulart , Cédric Févotte

In recent years, the fervent demand for computational power across various domains has prompted hardware manufacturers to introduce specialized computing hardware aimed at enhancing computational capabilities. Particularly, the utilization…

Numerical Analysis · Mathematics 2024-03-12 Hongyaoxing Gu

This paper presents a way to define, classify and accelerate the order of convergence of an uncountable family of fractional fixed point methods, which may be useful to continue expanding the applications of fractional operators. The…

Numerical Analysis · Mathematics 2024-03-27 A. Torres-Hernandez , F. Brambila-Paz , R. Montufar-Chaveznava

In this article, we present an $O(N \log N)$ rapidly convergent algorithm for the numerical approximation of the convolution integral with radially symmetric weakly singular kernels and compactly supported densities. To achieve the reduced…

Numerical Analysis · Mathematics 2021-07-09 Awanish Kumar Tiwari , Ambuj Pandey , Jagabandhu Paul , Akash Anand

Heterogeneous Graph Neural Networks (HGNNs) have broadened the applicability of graph representation learning to heterogeneous graphs. However, the irregular memory access pattern of HGNNs leads to the buffer thrashing issue in HGNN…

Hardware Architecture · Computer Science 2024-04-09 Runzhen Xue , Mingyu Yan , Dengke Han , Yihan Teng , Zhimin Tang , Xiaochun Ye , Dongrui Fan