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In this paper, we study the compression of a target two-layer neural network with N nodes into a compressed network with M<N nodes. More precisely, we consider the setting in which the weights of the target network are i.i.d. sub-Gaussian,…

Information Theory · Computer Science 2022-08-17 Mohammad Hossein Amani , Simone Bombari , Marco Mondelli , Rattana Pukdee , Stefano Rini

Compressive covariance estimation has arisen as a class of techniques whose aim is to obtain second-order statistics of stochastic processes from compressive measurements. Recently, these methods have been used in various image processing…

Image and Video Processing · Electrical Eng. & Systems 2022-07-27 Jonathan Monsalve , Juan Ramirez , Iñaki Esnaola , Henry Arguello

Tensor networks developed in the context of condensed matter physics try to approximate order-$N$ tensors with a reduced number of degrees of freedom that is only polynomial in $N$ and arranged as a network of partially contracted smaller…

Machine Learning · Computer Science 2025-01-07 Hao Chen , Thomas Barthel

Deep neural networks, in particular convolutional neural networks, have become highly effective tools for compressing images and solving inverse problems including denoising, inpainting, and reconstruction from few and noisy measurements.…

Computer Vision and Pattern Recognition · Computer Science 2019-03-12 Reinhard Heckel , Paul Hand

Compression of convolutional neural network models has recently been dominated by pruning approaches. A class of previous works focuses solely on pruning the unimportant filters to achieve network compression. Another important direction is…

Computer Vision and Pattern Recognition · Computer Science 2022-10-17 Tariq M. Khan , Syed S. Naqvi , Antonio Robles-Kelly , Erik Meijering

Deep neural networks generalize well on unseen data though the number of parameters often far exceeds the number of training examples. Recently proposed complexity measures have provided insights to understanding the generalizability in…

Machine Learning · Computer Science 2020-05-12 Jingling Li , Yanchao Sun , Jiahao Su , Taiji Suzuki , Furong Huang

Model pruning has become a useful technique that improves the computational efficiency of deep learning, making it possible to deploy solutions in resource-limited scenarios. A widely-used practice in relevant work assumes that a…

Machine Learning · Computer Science 2018-02-06 Jianbo Ye , Xin Lu , Zhe Lin , James Z. Wang

Compressing large neural networks is an important step for their deployment in resource-constrained computational platforms. In this context, vector quantization is an appealing framework that expresses multiple parameters using a single…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Julieta Martinez , Jashan Shewakramani , Ting Wei Liu , Ioan Andrei Bârsan , Wenyuan Zeng , Raquel Urtasun

Motivated by recent work on deep neural network (DNN)-based image compression methods showing potential improvements in image quality, savings in storage, and bandwidth reduction, we propose to perform image understanding tasks such as…

Computer Vision and Pattern Recognition · Computer Science 2018-03-19 Robert Torfason , Fabian Mentzer , Eirikur Agustsson , Michael Tschannen , Radu Timofte , Luc Van Gool

Model compression techniques reduce the computational load and memory consumption of deep neural networks. After the compression operation, e.g. parameter pruning, the model is normally fine-tuned on the original training dataset to recover…

Computer Vision and Pattern Recognition · Computer Science 2023-06-23 Adrian Holzbock , Achyut Hegde , Klaus Dietmayer , Vasileios Belagiannis

To compress deep convolutional neural networks (CNNs) with large memory footprint and long inference time, this paper proposes a novel pruning criterion using layer-wised Ln-norm of feature maps. Different from existing pruning criteria,…

Neural and Evolutionary Computing · Computer Science 2018-12-11 Wei Wang , Liqiang Zhu

Deep convolution neural network has achieved great success in many artificial intelligence applications. However, its enormous model size and massive computation cost have become the main obstacle for deployment of such powerful algorithm…

Computer Vision and Pattern Recognition · Computer Science 2018-07-23 Zhezhi He , Boqing Gong , Deliang Fan

The transfer of tensors from/to memory during neural network training dominates time and energy. To improve energy efficiency and performance, research has been exploring ways to use narrower data representations. So far, these attempts…

Deep neural networks generally involve some layers with mil- lions of parameters, making them difficult to be deployed and updated on devices with limited resources such as mobile phones and other smart embedded systems. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2016-08-29 Xing Wang , Jie Liang

In neural network compression, most current methods reduce unnecessary parameters by measuring importance and redundancy. To augment already highly optimized existing solutions, we propose linearity-based compression as a novel way to…

Machine Learning · Computer Science 2025-06-27 Silas Dobler , Florian Lemmerich

Large-scale deep neural networks (DNN) have been successfully used in a number of tasks from image recognition to natural language processing. They are trained using large training sets on large models, making them computationally and…

Machine Learning · Computer Science 2017-03-28 Sek Chai , Aswin Raghavan , David Zhang , Mohamed Amer , Tim Shields

Deploying trained convolutional neural networks (CNNs) to mobile devices is a challenging task because of the simultaneous requirements of the deployed model to be fast, lightweight and accurate. Designing and training a CNN architecture…

Machine Learning · Computer Science 2019-12-02 Ramit Pahwa , Manoj Ghuhan Arivazhagan , Ankur Garg , Siddarth Krishnamoorthy , Rohit Saxena , Sunav Choudhary

We study rank selection for low-rank tensor regression under random covariates design. Under a Gaussian random-design model and some mild conditions, we derive population expressions for the expected training-testing discrepancy (optimism)…

Machine Learning · Statistics 2026-03-30 Haoming Shi , Eric C. Chi , Hengrui Luo

The success of deep learning in numerous application domains created the de- sire to run and train them on mobile devices. This however, conflicts with their computationally, memory and energy intense nature, leading to a growing interest…

Machine Learning · Statistics 2017-05-10 Karen Ullrich , Edward Meeds , Max Welling

In this paper, a new methodology is proposed that allows for the low-complexity development of neural network (NN) based equalizers for the mitigation of impairments in high-speed coherent optical transmission systems. In this work, we…