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Deep convolutional networks provide state of the art classifications and regressions results over many high-dimensional problems. We review their architecture, which scatters data with a cascade of linear filter weights and non-linearities.…

Machine Learning · Statistics 2016-04-27 Stéphane Mallat

The superior performance of deep convolutional networks over high-dimensional problems have made them very popular for several applications. Despite their wide adoption, their underlying mechanisms still remain unclear with their…

Computer Vision and Pattern Recognition · Computer Science 2018-10-23 Angelos Amanatiadis , Vasileios Kaburlasos , Elias Kosmatopoulos

This work attempts to interpret modern deep (convolutional) networks from the principles of rate reduction and (shift) invariant classification. We show that the basic iterative gradient ascent scheme for optimizing the rate reduction of…

Machine Learning · Computer Science 2020-10-30 Kwan Ho Ryan Chan , Yaodong Yu , Chong You , Haozhi Qi , John Wright , Yi Ma

Graph convolutional neural network provides good solutions for node classification and other tasks with non-Euclidean data. There are several graph convolutional models that attempt to develop deep networks but do not cause serious…

Machine Learning · Computer Science 2021-02-22 Jingyi Wang , Zhidong Deng

Filters in a Convolutional Neural Network (CNN) contain model parameters learned from enormous amounts of data. In this paper, we suggest to decompose convolutional filters in CNN as a truncated expansion with pre-fixed bases, namely the…

Machine Learning · Statistics 2018-07-31 Qiang Qiu , Xiuyuan Cheng , Robert Calderbank , Guillermo Sapiro

Transfer learning for feature extraction can be used to exploit deep representations in contexts where there is very few training data, where there are limited computational resources, or when tuning the hyper-parameters needed for training…

We introduce a two-layer wavelet scattering network, for object classification. This scattering transform computes a spatial wavelet transform on the first layer and a new joint wavelet transform along spatial, angular and scale variables…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Edouard Oyallon , Stéphane Mallat , Laurent Sifre

Over the past decade, deep learning has proven to be a highly effective tool for learning meaningful features from raw data. However, it remains an open question how deep networks perform hierarchical feature learning across layers. In this…

Machine Learning · Computer Science 2025-11-17 Peng Wang , Xiao Li , Can Yaras , Zhihui Zhu , Laura Balzano , Wei Hu , Qing Qu

Deep convolutional neural networks have achieved impressive performance on a broad range of problems, beating prior art on established benchmarks, but it often remains unclear what are the representations learnt by those systems and how…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Sen He , Nicolas Pugeault

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

Palmprint recognition has drawn a lot of attention during the recent years. Many algorithms have been proposed for palmprint recognition in the past, majority of them being based on features extracted from the transform domain. Many of…

Computer Vision and Pattern Recognition · Computer Science 2016-03-31 Shervin Minaee , Yao Wang

In this paper, we propose deformable deep convolutional neural networks for generic object detection. This new deep learning object detection framework has innovations in multiple aspects. In the proposed new deep architecture, a new…

Computer Vision and Pattern Recognition · Computer Science 2015-06-03 Wanli Ouyang , Xiaogang Wang , Xingyu Zeng , Shi Qiu , Ping Luo , Yonglong Tian , Hongsheng Li , Shuo Yang , Zhe Wang , Chen-Change Loy , Xiaoou Tang

Understanding how deep neural networks learn representations remains a central challenge in machine learning theory. In this work, we propose a feature-centric framework for analyzing neural network training by relating weight updates to…

Machine Learning · Computer Science 2026-05-08 Taehun Cha , Daniel Beaglehole , Adityanarayanan Radhakrishnan , Donghun Lee

Deep Learning's recent successes have mostly relied on Convolutional Networks, which exploit fundamental statistical properties of images, sounds and video data: the local stationarity and multi-scale compositional structure, that allows…

Machine Learning · Computer Science 2015-06-18 Mikael Henaff , Joan Bruna , Yann LeCun

The scattering transform is a multilayered wavelet-based deep learning architecture that acts as a model of convolutional neural networks. Recently, several works have introduced generalizations of the scattering transform for non-Euclidean…

Machine Learning · Statistics 2023-06-30 Michael Perlmutter , Alexander Tong , Feng Gao , Guy Wolf , Matthew Hirn

Deep neural networks perform well in object recognition, but do they perceive objects like humans? This study investigates the Gestalt principle of closure in convolutional neural networks. We propose a protocol to identify closure and…

Computer Vision and Pattern Recognition · Computer Science 2024-11-04 Yuyan Zhang , Derya Soydaner , Fatemeh Behrad , Lisa Koßmann , Johan Wagemans

Understanding the mechanism of how convolutional neural networks learn features from image data is a fundamental problem in machine learning and computer vision. In this work, we identify such a mechanism. We posit the Convolutional Neural…

Machine Learning · Statistics 2023-09-04 Daniel Beaglehole , Adityanarayanan Radhakrishnan , Parthe Pandit , Mikhail Belkin

Even though convolutional neural networks have become the method of choice in many fields of computer vision, they still lack interpretability and are usually designed manually in a cumbersome trial-and-error process. This paper aims at…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Maria Ximena Bastidas Rodriguez , Adrien Gruson , Luisa F. Polania , Shin Fujieda , Flavio Prieto Ortiz , Kohei Takayama , Toshiya Hachisuka

Over the past decade deep learning has revolutionized the field of computer vision, with convolutional neural network models proving to be very effective for image classification benchmarks. However, a fundamental theoretical questions…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Vinoth Nandakumar , Arush Tagade , Tongliang Liu

This paper presents a new state-of-the-art for document image classification and retrieval, using features learned by deep convolutional neural networks (CNNs). In object and scene analysis, deep neural nets are capable of learning a…

Computer Vision and Pattern Recognition · Computer Science 2015-02-26 Adam W. Harley , Alex Ufkes , Konstantinos G. Derpanis