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In parallel with the success of CNNs to solve vision problems, there is a growing interest in developing methodologies to understand and visualize the internal representations of these networks. How the responses of a trained CNN encode the…

Computer Vision and Pattern Recognition · Computer Science 2015-11-18 Ivet Rafegas , Maria Vanrell

Encoding the scale information explicitly into the representation learned by a convolutional neural network (CNN) is beneficial for many computer vision tasks especially when dealing with multiscale inputs. We study, in this paper, a…

Machine Learning · Computer Science 2022-02-08 Wei Zhu , Qiang Qiu , Robert Calderbank , Guillermo Sapiro , Xiuyuan Cheng

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

Group equivariant neural networks have been explored in the past few years and are interesting from theoretical and practical standpoints. They leverage concepts from group representation theory, non-commutative harmonic analysis and…

Machine Learning · Computer Science 2020-05-01 Carlos Esteves

Invariance under symmetry is an important problem in machine learning. Our paper looks specifically at equivariant neural networks where transformations of inputs yield homomorphic transformations of outputs. Here, steerable CNNs have…

Machine Learning · Computer Science 2021-09-15 Daniel Franzen , Michael Wand

Joint image filters are used to transfer structural details from a guidance picture used as a prior to a target image, in tasks such as enhancing spatial resolution and suppressing noise. Previous methods based on convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Beomjun Kim , Jean Ponce , Bumsub Ham

The success of convolution neural networks (CNN) has been revolutionising the way we approach and use intelligent machines in the Big Data era. Despite success, CNNs have been consistently put under scrutiny owing to their…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Shengxi Li , Xinyi Zhao , Ljubisa Stankovic , Danilo Mandic

Compressing convolutional neural networks (CNNs) is essential for transferring the success of CNNs to a wide variety of applications to mobile devices. In contrast to directly recognizing subtle weights or filters as redundant in a given…

Machine Learning · Statistics 2017-07-26 Yunhe Wang , Chang Xu , Jiayan Qiu , Chao Xu , Dacheng Tao

This paper proposes a generic method to learn interpretable convolutional filters in a deep convolutional neural network (CNN) for object classification, where each interpretable filter encodes features of a specific object part. Our method…

Machine Learning · Computer Science 2020-03-13 Quanshi Zhang , Xin Wang , Ying Nian Wu , Huilin Zhou , Song-Chun Zhu

Deep convolutional neural networks (CNNs) have been successful in many tasks in machine vision, however, millions of weights in the form of thousands of convolutional filters in CNNs makes them difficult for human intepretation or…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Reza Abbasi-Asl , Bin Yu

We present a convolutional network that is equivariant to rigid body motions. The model uses scalar-, vector-, and tensor fields over 3D Euclidean space to represent data, and equivariant convolutions to map between such representations.…

Machine Learning · Computer Science 2018-10-30 Maurice Weiler , Mario Geiger , Max Welling , Wouter Boomsma , Taco Cohen

In convolutional neural networks (CNNs), the filter grouping in convolution layers is known to be useful to reduce the network parameter size. In this paper, we propose a new logarithmic filter grouping which can capture the nonlinearity of…

Computer Vision and Pattern Recognition · Computer Science 2017-09-15 Tae Kwan Lee , Wissam J. Baddar , Seong Tae Kim , Yong Man Ro

Recently, non-stationary spectral kernels have drawn much attention, owing to its powerful feature representation ability in revealing long-range correlations and input-dependent characteristics. However, non-stationary spectral kernels are…

Machine Learning · Computer Science 2020-03-02 Jian Li , Yong Liu , Weiping Wang

Convolutional neural networks (CNNs) allow for parameter sharing and translational equivariance by using convolutional kernels in their linear layers. By restricting these kernels to be SO(3)-steerable, CNNs can further improve parameter…

Image and Video Processing · Electrical Eng. & Systems 2024-05-20 Ivan Diaz , Mario Geiger , Richard Iain McKinley

Explicit encoding of group actions in deep features makes it possible for convolutional neural networks (CNNs) to handle global deformations of images, which is critical to success in many vision tasks. This paper proposes to decompose the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-18 Xiuyuan Cheng , Qiang Qiu , Robert Calderbank , Guillermo Sapiro

The performance of multi-task learning in Convolutional Neural Networks (CNNs) hinges on the design of feature sharing between tasks within the architecture. The number of possible sharing patterns are combinatorial in the depth of the…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Felix J. S. Bragman , Ryutaro Tanno , Sebastien Ourselin , Daniel C. Alexander , M. Jorge Cardoso

The convolutional neural network (ConvNet or CNN) has proven to be very successful in many tasks such as those in computer vision. In this conceptual paper, we study the generative perspective of the discriminative CNN. In particular, we…

Computer Vision and Pattern Recognition · Computer Science 2015-12-09 Yang Lu , Song-Chun Zhu , Ying Nian Wu

This paper considers a convolutional neural network transformation that reduces computation complexity and thus speedups neural network processing. Usage of convolutional neural networks (CNN) is the standard approach to image recognition…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Elena Limonova , Alexander Sheshkus , Dmitry Nikolaev

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

Automatic tumor segmentation is a crucial step in medical image analysis for computer-aided diagnosis. Although the existing methods based on convolutional neural networks (CNNs) have achieved the state-of-the-art performance, many…

Image and Video Processing · Electrical Eng. & Systems 2020-05-11 Shuchao Pang , Anan Du , Mehmet A. Orgun , Yan Wang , Quanzheng Sheng , Shoujin Wang , Xiaoshui Huang , Zhemei Yu