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That shared features between train and test data are required for generalisation in artificial neural networks has been a common assumption of both proponents and critics of these models. Here, we show that convolutional architectures avoid…

Neural and Evolutionary Computing · Computer Science 2021-07-15 Jeff Mitchell , Jeffrey S. Bowers

We propose a new formulation for pruning convolutional kernels in neural networks to enable efficient inference. We interleave greedy criteria-based pruning with fine-tuning by backpropagation - a computationally efficient procedure that…

Machine Learning · Computer Science 2017-06-12 Pavlo Molchanov , Stephen Tyree , Tero Karras , Timo Aila , Jan Kautz

Group convolutional neural networks are a useful tool for utilizing symmetries known to be in a signal; however, they require that the signal is defined on the group itself. Existing approaches either work directly with group signals, or…

Signal Processing · Electrical Eng. & Systems 2022-11-01 Harshat Kumar , Alejandro Parada-Mayorga , Alejandro Ribeiro

Convolutional neural networks are modern models that are very efficient in many classification tasks. They were originally created for image processing purposes. Then some trials were performed to use them in different domains like natural…

Computation and Language · Computer Science 2018-05-29 Krzysztof Wróbel , Marcin Pietroń , Maciej Wielgosz , Michał Karwatowski , Kazimierz Wiatr

Convolution kernels are the basic structural component of convolutional neural networks (CNNs). In the last years there has been a growing interest in fisheye cameras for many applications. However, the radially symmetric projection model…

Computer Vision and Pattern Recognition · Computer Science 2024-02-05 Bruno Berenguel-Baeta , Maria Santos-Villafranca , Jesus Bermudez-Cameo , Alejandro Perez-Yus , Jose J. Guerrero

This paper introduces a new Convolutional Neural Network (ConvNet) architecture inspired by a class of partial differential equations (PDEs) called quasi-linear hyperbolic systems. With comparable performance on the image classification…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Yao Liu , Hang Shao , Bing Bai

Recently, many Convolution Neural Networks (CNN) have been successfully employed in bitemporal SAR image change detection. However, most of the existing networks are too heavy and occupy a large volume of memory for storage and calculation.…

Image and Video Processing · Electrical Eng. & Systems 2020-06-23 Rongfang Wang , Fan Ding , Licheng Jiao , Jia-Wei Chen , Bo Liu , Wenping Ma , Mi Wang

Convolutional neural networks (CNNs) are typically over-parameterized, bringing considerable computational overhead and memory footprint in inference. Pruning a proportion of unimportant filters is an efficient way to mitigate the inference…

Computer Vision and Pattern Recognition · Computer Science 2020-05-07 Kai Zhao , Xin-Yu Zhang , Qi Han , Ming-Ming Cheng

An important goal in visual recognition is to devise image representations that are invariant to particular transformations. In this paper, we address this goal with a new type of convolutional neural network (CNN) whose invariance is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 Julien Mairal , Piotr Koniusz , Zaid Harchaoui , Cordelia Schmid

Convolutional Neural Networks (CNNs) filter the input data using a series of spatial convolution operators with compactly supported stencils and point-wise nonlinearities. Commonly, the convolution operators couple features from all…

Numerical Analysis · Computer Science 2018-10-04 Eran Treister , Lars Ruthotto , Michal Sharoni , Sapir Zafrani , Eldad Haber

Group convolutional neural networks (G-CNNs) have been shown to increase parameter efficiency and model accuracy by incorporating geometric inductive biases. In this work, we investigate the properties of representations learned by regular…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 David M. Knigge , David W. Romero , Erik J. Bekkers

We propose the introduction of nonlinear operation into the feature generation process in convolutional neural networks. This nonlinearity can be implemented in various ways. First we discuss the use of nonlinearities in the process of data…

Machine Learning · Computer Science 2019-05-30 Gavneet Singh Chadha , Andreas Schwung

Convolutional neural networks (CNNs) are very popular nowadays for image processing. CNNs allow one to learn optimal filters in a (mostly) supervised machine learning context. However this typically requires abundant labelled training data…

Computer Vision and Pattern Recognition · Computer Science 2019-07-04 Matej Ulicny , Vladimir A. Krylov , Rozenn Dahyot

We consider the problem of learning regression functions from pairwise data when there exists prior knowledge that the relation to be learned is symmetric or anti-symmetric. Such prior knowledge is commonly enforced by symmetrizing or…

Machine Learning · Computer Science 2015-06-22 Tapio Pahikkala , Markus Viljanen , Antti Airola , Willem Waegeman

Several recent works have empirically observed that Convolutional Neural Nets (CNNs) are (approximately) invertible. To understand this approximate invertibility phenomenon and how to leverage it more effectively, we focus on a theoretical…

Machine Learning · Statistics 2017-05-25 Anna C. Gilbert , Yi Zhang , Kibok Lee , Yuting Zhang , Honglak Lee

It is well known that Convolutional Neural Networks (CNNs) have significant redundancy in their filter weights. Various methods have been proposed in the literature to compress trained CNNs. These include techniques like pruning weights,…

Machine Learning · Computer Science 2019-06-12 Muhammad Tayyab , Abhijit Mahalanobis

Deep learning models have proven enormously successful at using multiple layers of representation to learn relevant features of structured data. Encoding physical symmetries into these models can improve performance on difficult tasks, and…

Machine Learning · Computer Science 2025-10-21 Cassidy Ashworth , Pietro Liò , Francesco Caso

The introduction of convolutional layers greatly advanced the performance of neural networks on image tasks due to innately capturing a way of encoding and learning translation-invariant operations, matching one of the underlying symmetries…

Computer Vision and Pattern Recognition · Computer Science 2016-12-15 Nicholas Guttenberg , Nathaniel Virgo , Olaf Witkowski , Hidetoshi Aoki , Ryota Kanai

Neural saturation in Deep Neural Networks (DNNs) has been studied extensively, but remains relatively unexplored in Convolutional Neural Networks (CNNs). Understanding and alleviating the effects of convolutional kernel saturation is…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Nidhi Gowdra , Roopak Sinha , Stephen MacDonell

Symmetry is omnipresent in nature and perceived by the visual system of many species, as it facilitates detecting ecologically important classes of objects in our environment. Symmetry perception requires abstraction of long-range spatial…

Computer Vision and Pattern Recognition · Computer Science 2022-01-26 Shobhita Sundaram , Darius Sinha , Matthew Groth , Tomotake Sasaki , Xavier Boix