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Recent work suggests that changing Convolutional Neural Network (CNN) architecture by introducing a bottleneck in the second layer can yield changes in learned function. To understand this relationship fully requires a way of quantitatively…

Computer Vision and Pattern Recognition · Computer Science 2020-10-07 Ethan Harris , Daniela Mihai , Jonathon Hare

We consider learning in decentralized heterogeneous networks: agents seek to minimize a convex functional that aggregates data across the network, while only having access to their local data streams. We focus on the case where agents seek…

Optimization and Control · Mathematics 2021-06-02 Hrusikesha Pradhan , Amrit Singh Bedi , Alec Koppel , Ketan Rajawat

Exploiting data invariances is crucial for efficient learning in both artificial and biological neural circuits. Understanding how neural networks can discover appropriate representations capable of harnessing the underlying symmetries of…

Disordered Systems and Neural Networks · Physics 2022-10-17 Alessandro Ingrosso , Sebastian Goldt

This paper has proposed a new baseline deep learning model of more benefits for image classification. Different from the convolutional neural network(CNN) practice where filters are trained by back propagation to represent different…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Yifei Li , Kuangyan Song , Yiming Sun , Liao Zhu

Convolutional Neural Networks (CNNs) define an exceptionally powerful class of models for image classification, but the theoretical background and the understanding of how invariances to certain transformations are learned is limited. In a…

Computer Vision and Pattern Recognition · Computer Science 2018-03-19 Charlotte Bunne , Lukas Rahmann , Thomas Wolf

The prevailing approach to embedding prior knowledge within convolutional layers typically includes the design of steerable kernels or their modulation using designated kernel banks. In this study, we introduce the Analytic Convolutional…

Machine Learning · Computer Science 2024-07-09 Jingmao Cui , Donglai Tao , Linmi Tao , Ruiyang Liu , Yu Cheng

Encoder-decoder networks using convolutional neural network (CNN) architecture have been extensively used in deep learning literatures thanks to its excellent performance for various inverse problems. However, it is still difficult to…

Machine Learning · Computer Science 2019-05-08 Jong Chul Ye , Woon Kyoung Sung

We present a novel approach to learn a kernel-based regression function. It is based on the useof conical combinations of data-based parameterized kernels and on a new stochastic convex optimization procedure of which we establish…

Machine Learning · Computer Science 2012-01-13 Pierre Machart , Thomas Peel , Liva Ralaivola , Sandrine Anthoine , Hervé Glotin

Compared to earlier multistage frameworks using CNN features, recent end-to-end deep approaches for fine-grained recognition essentially enhance the mid-level learning capability of CNNs. Previous approaches achieve this by introducing an…

Computer Vision and Pattern Recognition · Computer Science 2018-06-13 Yaming Wang , Vlad I. Morariu , Larry S. Davis

Convolutional Neural Network (CNN) is one of the most important architectures in deep learning. The fundamental building block of a CNN is a trainable filter, represented as a discrete grid, used to perform convolution on discrete input…

Machine Learning · Computer Science 2023-05-26 Dario Coscia , Laura Meneghetti , Nicola Demo , Giovanni Stabile , Gianluigi Rozza

Convolutional neural networks (CNNs) have shown very promising performance in recent years for different problems, including object recognition, face recognition, medical image analysis, etc. However, generally the trained CNN models are…

Computer Vision and Pattern Recognition · Computer Science 2020-11-13 Roshan Reddy Yedla , Shiv Ram Dubey

In this paper, we propose a novel unsupervised deep learning model, called PCA-based Convolutional Network (PCN). The architecture of PCN is composed of several feature extraction stages and a nonlinear output stage. Particularly, each…

Machine Learning · Computer Science 2015-05-15 Yanhai Gan , Jun Liu , Junyu Dong , Guoqiang Zhong

A wavelet scattering network computes a translation invariant image representation, which is stable to deformations and preserves high frequency information for classification. It cascades wavelet transform convolutions with non-linear…

Computer Vision and Pattern Recognition · Computer Science 2012-03-09 Joan Bruna , Stéphane Mallat

Artificial neural networks show promising performance in detecting correlations within data that are associated with specific outcomes. However, the black-box nature of such models can hinder the knowledge advancement in research fields by…

Machine Learning · Computer Science 2023-10-09 Jonas C. Ditz , Bernhard Reuter , Nico Pfeifer

We show that passing input points through a simple Fourier feature mapping enables a multilayer perceptron (MLP) to learn high-frequency functions in low-dimensional problem domains. These results shed light on recent advances in computer…

Computer Vision and Pattern Recognition · Computer Science 2020-06-19 Matthew Tancik , Pratul P. Srinivasan , Ben Mildenhall , Sara Fridovich-Keil , Nithin Raghavan , Utkarsh Singhal , Ravi Ramamoorthi , Jonathan T. Barron , Ren Ng

We present a novel diffusion scheme for online kernel-based learning over networks. So far, a major drawback of any online learning algorithm, operating in a reproducing kernel Hilbert space (RKHS), is the need for updating a growing number…

Machine Learning · Computer Science 2018-03-14 Pantelis Bouboulis , Symeon Chouvardas , Sergios Theodoridis

Convolutional neural networks have been widely applied to hyperspectral image classification. However, traditional convolutions can not effectively extract features for objects with irregular distributions. Recent methods attempt to address…

Computer Vision and Pattern Recognition · Computer Science 2023-04-07 Di Wang , Bo Du , Liangpei Zhang

This work introduces a new unsupervised representation learning technique called Deep Convolutional Transform Learning (DCTL). By stacking convolutional transforms, our approach is able to learn a set of independent kernels at different…

Machine Learning · Computer Science 2020-10-05 Jyoti Maggu , Angshul Majumdar , Emilie Chouzenoux , Giovanni Chierchia

Convolutional Neural Networks (CNNs) perform very well in image classification and object detection in recent years, but even the most advanced models have limited rotation invariance. Known solutions include the enhancement of training…

Computer Vision and Pattern Recognition · Computer Science 2022-02-28 Zongbo Hao , Tao Zhang , Mingwang Chen , Kaixu Zhou

This paper examines the possibility of, and the possible advantages to learning the filters of convolutional neural networks (CNNs) for image analysis in the wavelet domain. We are stimulated by both Mallat's scattering transform and the…

Computer Vision and Pattern Recognition · Computer Science 2018-11-16 Fergal Cotter , Nick Kingsbury