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In this paper, we propose a new method for the construction of multi-dimensional, wavelet-like families of affine frames, commonly referred to as framelets, with specific directional characteristics, small and compact support in space,…

Information Theory · Computer Science 2019-09-13 Nikolaos Atreas , Nikolaos Karantzas , Manos Papadakis , Theodoros Stavropoulos

Fully convolutional U-shaped neural networks have largely been the dominant approach for pixel-wise image segmentation. In this work, we tackle two defects that hinder their deployment in real-world applications: 1) Predictions lack…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Martin Ferianc , Divyansh Manocha , Hongxiang Fan , Miguel Rodrigues

In this paper we propose a new adaptive wavelet denoising methodology using complex wavelets. The method is based on a fully Bayesian hierarchical model in the complex wavelet domain that uses a bivariate mixture prior on the wavelet…

Methodology · Statistics 2018-03-08 Norbert Reményi , Brani Vidakovic

Medical image datasets can have large number of images representing patients with different health conditions and various disease severity. When dealing with raw unlabeled image datasets, the large number of samples often makes it hard for…

Image and Video Processing · Electrical Eng. & Systems 2022-04-27 Roozbeh Yousefzadeh

In this paper, we consider the problem of blind signal and image separation using a sparse representation of the images in the wavelet domain. We consider the problem in a Bayesian estimation framework using the fact that the distribution…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Ali Mohammad-Djafari , Mahieddine Ichir

The paper presents a new algorithm for the image inpainting problem. The algorithm is using a recently designed versatile library of quasi-analytic complex-valued wavelet packets (qWPs) which originate from polynomial splines of arbitrary…

Image and Video Processing · Electrical Eng. & Systems 2021-05-25 Amir Averbuch , Pekka Neittaanmaki , Valery Zheludev , Moshe Salhov , Jonathan Hauser

The {\em wavelet tree} is a flexible data structure that permits representing sequences $S[1,n]$ of symbols over an alphabet of size $\sigma$, within compressed space and supporting a wide range of operations on $S$. When $\sigma$ is…

Data Structures and Algorithms · Computer Science 2014-05-07 Francisco Claude , Gonzalo Navarro , Alberto Ordóñez

Network embedding aims to represent each node in a network as a low-dimensional feature vector that summarizes the given node's (extended) network neighborhood. The nodes' feature vectors can then be used in various downstream machine…

Social and Information Networks · Computer Science 2018-05-22 Shawn Gu , Tijana Milenkovic

In the present paper, details are given on the implementation of a wavelet-based analysis tailored to the processing of acoustical signals. The family of the suitable wavelets (`Reimann wavelets') are obtained in the time domain from a…

Sound · Computer Science 2015-10-01 Evangelos Matsinos

This paper introduces a Deep Scattering network that utilizes Dual-Tree complex wavelets to extract translation invariant representations from an input signal. The computationally efficient Dual-Tree wavelets decompose the input signal into…

Computer Vision and Pattern Recognition · Computer Science 2017-02-14 Amarjot Singh , Nick Kingsbury

Submovements are ballistic components of human motion constituting a large part of motor interaction and arising from the cyclical and overlapping cognitive processes of perception, motor planning, and motor execution. Extracting…

Human-Computer Interaction · Computer Science 2026-04-23 Auejin Ham , Ben Boudaoud

The goal of this paper is to present a new efficient image segmentation method based on evolutionary computation which is a model inspired from human behavior. Based on this model, a four layer process for image segmentation is proposed…

Computer Vision and Pattern Recognition · Computer Science 2017-12-07 Roohollah Aslanzadeh , Kazem Qazanfari , Mohammad Rahmati

The wavelet tree has become a very useful data structure to efficiently represent and query large volumes of data in many different domains, from bioinformatics to geographic information systems. One problem with wavelet trees is their…

Data Structures and Algorithms · Computer Science 2016-10-20 José Fuentes-Sepúlveda , Erick Elejalde , Leo Ferres , Diego Seco

According to both domain expert knowledge and empirical evidence, wavelet coefficients of real signals tend to exhibit clustering patterns, in that they contain connected regions of coefficients of similar magnitude (large or small). A…

Methodology · Statistics 2020-01-08 Shota Gugushvili , Frank van der Meulen , Moritz Schauer , Peter Spreij

Many applications require randomly sampling bipartite graphs with fixed degrees, or randomly sampling incidence matrices with fixed row and column sums. Although several sampling algorithms exist, the ``curveball'' algorithm is the most…

Data Structures and Algorithms · Computer Science 2022-11-01 Karl Godard , Zachary P. Neal

We propose a novel neural architecture for computer vision -- WaveMix -- that is resource-efficient and yet generalizable and scalable. While using fewer trainable parameters, GPU RAM, and computations, WaveMix networks achieve comparable…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Pranav Jeevan , Kavitha Viswanathan , Anandu A S , Amit Sethi

It is described how the coefficients of Daubechies wavelet matrices can be approximated by rational numbers in such a way that the perfect reconstruction property of the filter bank be preserved exactly

Numerical Analysis · Mathematics 2011-06-28 Lasha Ephremidze , Aleksander Gamkrelidze , Edem Lagvilava

Validation of image segmentation methods is of critical importance. Probabilistic image segmentation is increasingly popular as it captures uncertainty in the results. Image segmentation methods that support multi-region (as opposed to…

Computer Vision and Pattern Recognition · Computer Science 2015-10-14 Shawn Andrews , Ghassan Hamarneh

Recently introduced inpainting algorithms using a combination of applied harmonic analysis and compressed sensing have turned out to be very successful. One key ingredient is a carefully chosen representation system which provides…

Functional Analysis · Mathematics 2016-12-28 Martin Genzel , Gitta Kutyniok

Multiresolution Matrix Factorization (MMF) is unusual amongst fast matrix factorization algorithms in that it does not make a low rank assumption. This makes MMF especially well suited to modeling certain types of graphs with complex…

Machine Learning · Computer Science 2021-11-04 Truong Son Hy , Risi Kondor
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