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In the framework of convolutional neural networks that lie at the heart of deep learning, downsampling is often performed with a max-pooling operation that only retains the element with maximum activation, while completely discarding the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-17 Ashwani Kumar

We develop a theoretical analysis for special neural network architectures, termed operator recurrent neural networks, for approximating nonlinear functions whose inputs are linear operators. Such functions commonly arise in solution…

Optimization and Control · Mathematics 2022-01-05 Maarten V. de Hoop , Matti Lassas , Christopher A. Wong

Standard Convolutional Neural Networks (CNNs) designed for computer vision tasks tend to have large intermediate activation maps. These require large working memory and are thus unsuitable for deployment on resource-constrained devices…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Oindrila Saha , Aditya Kusupati , Harsha Vardhan Simhadri , Manik Varma , Prateek Jain

Layer normalization (LN) is a ubiquitous technique in deep learning but our theoretical understanding to it remains elusive. This paper investigates a new theoretical direction for LN, regarding to its nonlinearity and representation…

Machine Learning · Computer Science 2024-06-04 Yunhao Ni , Yuxin Guo , Junlong Jia , Lei Huang

Deep Convolutional Neural Networks (DCNNs) are currently the method of choice both for generative, as well as for discriminative learning in computer vision and machine learning. The success of DCNNs can be attributed to the careful…

Convolutional Neural Networks (CNNs) are well established models capable of achieving state-of-the-art classification accuracy for various computer vision tasks. However, they are becoming increasingly larger, using millions of parameters,…

Computer Vision and Pattern Recognition · Computer Science 2017-07-27 Nikolaos Passalis , Anastasios Tefas

Convolutional Neural Networks have revolutionized vision applications. There are image domains and representations, however, that cannot be handled by standard CNNs (e.g., spherical images, superpixels). Such data are usually processed…

Computer Vision and Pattern Recognition · Computer Science 2022-07-20 David Hart , Michael Whitney , Bryan Morse

Deep neural networks (DNNs) are successful in many computer vision tasks. However, the most accurate DNNs require millions of parameters and operations, making them energy, computation and memory intensive. This impedes the deployment of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Abhinav Goel , Caleb Tung , Yung-Hsiang Lu , George K. Thiruvathukal

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

Numerical Analysis · Mathematics 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung

Although Deep Convolutional Neural Networks (CNNs) have liberated their power in various computer vision tasks, the most important components of CNN, convolutional layers and fully connected layers, are still limited to linear…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Yanghao Li , Naiyan Wang , Jiaying Liu , Xiaodi Hou

We describe the class of convexified convolutional neural networks (CCNNs), which capture the parameter sharing of convolutional neural networks in a convex manner. By representing the nonlinear convolutional filters as vectors in a…

Machine Learning · Computer Science 2016-09-06 Yuchen Zhang , Percy Liang , Martin J. Wainwright

In plug-and-play (PnP) regularization, the knowledge of the forward model is combined with a powerful denoiser to obtain state-of-the-art image reconstructions. This is typically done by taking a proximal algorithm such as FISTA or ADMM,…

Image and Video Processing · Electrical Eng. & Systems 2021-05-12 Ruturaj G. Gavaskar , Chirayu D. Athalye , Kunal N. Chaudhury

Feature pooling layers (e.g., max pooling) in convolutional neural networks (CNNs) serve the dual purpose of providing increasingly abstract representations as well as yielding computational savings in subsequent convolutional layers. We…

Machine Learning · Computer Science 2016-11-17 Shuangfei Zhai , Hui Wu , Abhishek Kumar , Yu Cheng , Yongxi Lu , Zhongfei Zhang , Rogerio Feris

Deep neural network (DNN) deployment has been confined to larger hardware devices due to their expensive computational requirements. This challenge has recently reached another scale with the emergence of large language models (LLMs). In…

Machine Learning · Computer Science 2023-08-11 Edouard Yvinec , Arnaud Dapogny , Kevin Bailly

Deep learning has established many new state of the art solutions in the last decade in areas such as object, scene and speech recognition. In particular Convolutional Neural Network (CNN) is a category of deep learning which obtains…

Computer Vision and Pattern Recognition · Computer Science 2016-09-26 Vincent Andrearczyk , Paul F. Whelan

Natural Language Processing (NLP) is widely used in fields like machine translation and sentiment analysis. However, traditional NLP models struggle with accuracy and efficiency. This paper introduces Deep Convolutional Neural Networks…

Computation and Language · Computer Science 2024-12-23 Chang Weng , Scott Rood , Mehdi Ali Ramezani , Amir Aslani , Reza Zarrab , Wang Zwuo , Sanjeev Salimans , Tim Satheesh

We present an analysis into the inner workings of Convolutional Neural Networks (CNNs) for processing text. CNNs used for computer vision can be interpreted by projecting filters into image space, but for discrete sequence inputs CNNs…

Computation and Language · Computer Science 2020-04-29 Alon Jacovi , Oren Sar Shalom , Yoav Goldberg

Deep neural networks (NNs) are known to lack uncertainty estimates and struggle to incorporate new data. We present a method that mitigates these issues by converting NNs from weight space to function space, via a dual parameterization.…

Machine Learning · Statistics 2023-09-06 Aidan Scannell , Riccardo Mereu , Paul Chang , Ella Tamir , Joni Pajarinen , Arno Solin

In Graph Neural Networks (GNNs), hierarchical pooling operators generate local summaries of the data by coarsening the graph structure and the vertex features. While considerable attention has been devoted to analyzing the expressive power…

Machine Learning · Computer Science 2023-10-16 Filippo Maria Bianchi , Veronica Lachi

We present a novel class of convolutional neural networks (CNNs) for set functions, i.e., data indexed with the powerset of a finite set. The convolutions are derived as linear, shift-equivariant functions for various notions of shifts on…

Machine Learning · Computer Science 2024-06-21 Chris Wendler , Dan Alistarh , Markus Püschel