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Dense pixelwise prediction such as semantic segmentation is an up-to-date challenge for deep convolutional neural networks (CNNs). Many state-of-the-art approaches either tackle the loss of high-resolution information due to pooling in the…

Computer Vision and Pattern Recognition · Computer Science 2018-08-07 Lingni Ma , Jörg Stückler , Tao Wu , Daniel Cremers

A scattering transform defines a signal representation which is invariant to translations and Lipschitz continuous relatively to deformations. It is implemented with a non-linear convolution network that iterates over wavelet and modulus…

Computer Vision and Pattern Recognition · Computer Science 2011-12-07 Joan Bruna , Stéphane Mallat

Deep Neural Networks (DNNs) demonstrate remarkable capabilities in learning complex hierarchical data representations, but the nature of these representations remains largely unknown. Existing global explainability methods, such as Network…

Machine Learning · Computer Science 2024-01-19 Kirill Bykov , Laura Kopf , Shinichi Nakajima , Marius Kloft , Marina M. -C. Höhne

The rapid advancement of image inpainting tools, especially those aimed at removing artifacts, has made digital image manipulation alarmingly accessible. This paper proposes several innovative ideas for detecting inpainting forgeries based…

Computer Vision and Pattern Recognition · Computer Science 2024-09-26 Barglazan Adrian-Alin , Brad Remus

Deep learning models extract, before a final classification layer, features or patterns which are key for their unprecedented advantageous performance. However, the process of complex nonlinear feature extraction is not well understood, a…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Roozbeh Yousefzadeh , Furong Huang

We propose a DTCWT ScatterNet Convolutional Neural Network (DTSCNN) formed by replacing the first few layers of a CNN network with a parametric log based DTCWT ScatterNet. The ScatterNet extracts edge based invariant representations that…

Machine Learning · Computer Science 2017-08-31 Amarjot Singh , Nick Kingsbury

We introduce a scattering representation for the analysis and classification of sounds. It is locally translation-invariant, stable to deformations in time and frequency, and has the ability to capture harmonic structures. The scattering…

Sound · Computer Science 2015-09-02 Vincent Lostanlen , Stéphane Mallat

In deep networks, the lost data details significantly degrade the performances of image segmentation. In this paper, we propose to apply Discrete Wavelet Transform (DWT) to extract the data details during feature map down-sampling, and…

Computer Vision and Pattern Recognition · Computer Science 2020-06-01 Qiufu Li , Linlin Shen

The dual-tree complex wavelet transform (DTCWT) is an enhancement of the conventional discrete wavelet transform (DWT) due to a higher degree of shift-invariance and a greater directional selectivity, finding its applications in signal and…

Classical Analysis and ODEs · Mathematics 2013-05-01 Adriaan Barri , Ann Dooms , Peter Schelkens

Many of the distributed localization algorithms are based on relaxed optimization formulations of the localization problem. These algorithms commonly rely on first-order optimization methods, and hence may require many iterations or…

Optimization and Control · Mathematics 2016-07-19 Sina Khoshfetrat Pakazad , Emre Özkan , Carsten Fritsche , Anders Hansson , Fredrik Gustafsson

Representations learnt through deep neural networks tend to be highly informative, but opaque in terms of what information they learn to encode. We introduce an approach to probabilistic modelling that learns to represent data with two…

Machine Learning · Statistics 2019-05-21 Ilya Feige

Leveraging the symmetries inherent to specific data domains for the construction of equivariant neural networks has lead to remarkable improvements in terms of data efficiency and generalization. However, most existing research focuses on…

Machine Learning · Computer Science 2024-01-23 David W. Romero , Erik J. Bekkers , Jakub M. Tomczak , Mark Hoogendoorn

Wavelet scattering networks, which are convolutional neural networks (CNNs) with fixed filters and weights, are promising tools for image analysis. Imposing symmetry on image statistics can improve human interpretability, aid in…

Computer Vision and Pattern Recognition · Computer Science 2021-04-26 Andrew K. Saydjari , Douglas P. Finkbeiner

The increasing of digital radio frequency memory based electronic countermeasures poses a significant threat to the survivability and effectiveness of radar systems. These jammers can generate a multitude of deceptive false targets,…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Yizhen Jia , Siyao Xiao , Wenkai Jia , Hui Chen , Wen-Qin Wang

We introduce general scattering transforms as mathematical models of deep neural networks with l2 pooling. Scattering networks iteratively apply complex valued unitary operators, and the pooling is performed by a complex modulus. An…

Machine Learning · Computer Science 2015-06-26 Stéphane Mallat , Irène Waldspurger

We present a wavelet-based dual-stream network that addresses color cast and blurry details in underwater images. We handle these artifacts separately by decomposing an input image into multiple frequency bands using discrete wavelet…

Computer Vision and Pattern Recognition · Computer Science 2022-04-28 Ziyin Ma , Changjae Oh

Wavelet trees are widely used in the representation of sequences, permutations, text collections, binary relations, discrete points, and other succinct data structures. We show, however, that this still falls short of exploiting all of the…

Data Structures and Algorithms · Computer Science 2010-11-23 Travis Gagie , Gonzalo Navarro , Simon J. Puglisi

The clustering methods have recently absorbed even-increasing attention in learning and vision. Deep clustering combines embedding and clustering together to obtain optimal embedding subspace for clustering, which can be more effective…

Machine Learning · Computer Science 2019-05-01 Xu Yang , Cheng Deng , Feng Zheng , Junchi Yan , Wei Liu

The paper proposes the ScatterNet Hybrid Deep Learning (SHDL) network that extracts invariant and discriminative image representations for object recognition. SHDL framework is constructed with a multi-layer ScatterNet front-end, an…

Computer Vision and Pattern Recognition · Computer Science 2017-08-31 Amarjot Singh , Nick Kingsbury

We present a sparse and invariant representation with low asymptotic complexity for robust unsupervised transient and onset zone detection in noisy environments. This unsupervised approach is based on wavelet transforms and leverages the…

Machine Learning · Statistics 2016-11-24 Randall Balestriero , Behnaam Aazhang