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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

Recently, many neural network-based image compression methods have shown promising results superior to the existing tool-based conventional codecs. However, most of them are often trained as separate models for different target bit rates,…

Image and Video Processing · Electrical Eng. & Systems 2022-11-09 Jooyoung Lee , Seyoon Jeong , Munchurl Kim

Learned wavelet image and video coding approaches provide an explainable framework with a latent space corresponding to a wavelet decomposition. The wavelet image coder iWave++ achieves state-of-the-art performance and has been employed for…

Image and Video Processing · Electrical Eng. & Systems 2024-11-07 Anna Meyer , Srivatsa Prativadibhayankaram , André Kaup

In practice, LDPC codes are decoded using message passing methods. These methods offer good performance but tend to converge slowly and sometimes fail to converge and to decode the desired codewords correctly. Recently, tree-reweighted…

Information Theory · Computer Science 2014-03-05 J. Li , R. C. de Lamare , H. Wymeersch

Large kernel convolutions offer a scalable alternative to vision transformers for high-resolution 3D volumetric analysis, yet naively increasing kernel size often leads to optimization instability. Motivated by the spatial bias inherent in…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Ho Hin Lee , Quan Liu , Shunxing Bao , Yuankai Huo , Bennett A. Landman

This paper deals with the latest video coding standard H265 SHVC, a scalable extension to High Efficiency Video Coding (HEVC). HEVC introduces new coding tools compared to its predecessor and is backward compatible with all types of…

Multimedia · Computer Science 2020-09-22 L. Balaji , K. K. Thyagharajan

In this paper we propose a novel environmental sound classification approach incorporating unsupervised feature learning from codebook via spherical $K$-Means++ algorithm and a new architecture for high-level data augmentation. The audio…

Machine Learning · Computer Science 2019-11-26 Mohammad Esmaeilpour , Patrick Cardinal , Alessandro Lameiras Koerich

We present a new approach and a novel architecture, termed WSNet, for learning compact and efficient deep neural networks. Existing approaches conventionally learn full model parameters independently and then compress them via ad hoc…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Xiaojie Jin , Yingzhen Yang , Ning Xu , Jianchao Yang , Nebojsa Jojic , Jiashi Feng , Shuicheng Yan

A successful class of image denoising methods is based on Bayesian approaches working in wavelet representations. However, analytical estimates can be obtained only for particular combinations of analytical models of signal and noise, thus…

Computer Vision and Pattern Recognition · Computer Science 2016-02-02 Valero Laparra , Juan Gutiérrez , Gustavo Camps-Valls , Jesús Malo

The Stokeslet and stresslet kernels are commonly used in boundary element simulations and singularity methods for slow viscous flow. Evaluating the velocity induced by a collection of Stokeslets and stresslets by direct summation requires…

Numerical Analysis · Mathematics 2019-08-30 Lei Wang , Svetlana Tlupova , Robert Krasny

This paper proposes novel spectrum sensing algorithms for cognitive radio networks. By assuming known transmitter pulse shaping filter, synchronous and asynchronous receiver scenarios have been considered. For each of these scenarios, the…

Optimization and Control · Mathematics 2013-12-31 Tadilo Endeshaw Bogale , Luc Vandendorpe

Spectral algorithms leverage spectral regularization techniques to analyze and process data, providing a flexible framework for addressing supervised learning problems. To deepen our understanding of their performance in real-world…

Machine Learning · Statistics 2025-07-23 Jun Fan , Zheng-Chu Guo , Lei Shi

In recent years, discrete wavelet transform (DWT) provides an useful platform for digital information hiding and copyright protection. Many DWT-based algorithms for this aim are proposed. The performance of these algorithms is in term of…

Cryptography and Security · Computer Science 2011-04-04 S. -T. Chen , H. -N. Huang , S. -Y. Tu

This paper deals with the problem of function estimation. Using the white noise model setting, we provide a method to construct a new wavelet procedure based on thresholding rules which takes advantage of the dyadic structure of the wavelet…

Statistics Theory · Mathematics 2008-12-18 Florent Autin

This is the first paper in a sequence of studies in which we introduce a new type of neural networks (NNs) -- wavelet-based neural networks (WBNNs) -- and study their properties and potential for applications. We begin this study with a…

Machine Learning · Computer Science 2022-11-02 Lubomir T. Dechevsky , Kristoffer M. Tangrand

Rank and select queries are basic operations on sequences, with applications in compressed text indexes and other space-efficient data structures. One of the standard data structures supporting these queries is the wavelet tree. In this…

Data Structures and Algorithms · Computer Science 2026-04-14 Eric Chiu , Dominik Kempa

The enhancement and detection of elongated structures in noisy image data is relevant for many biomedical applications. To handle complex crossing structures in 2D images, 2D orientation scores were introduced, which already showed their…

Numerical Analysis · Mathematics 2015-05-29 Michiel Janssen , Remco Duits , Marcel Breeuwer

Existing parallel algorithms for wavelet tree construction have a work complexity of $O(n\log\sigma)$. This paper presents parallel algorithms for the problem with improved work complexity. Our first algorithm is based on parallel integer…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-17 Julian Shun

Unoriented surface reconstruction is an important task in computer graphics and has extensive applications. Based on the compact support of wavelet and orthogonality properties, classic wavelet surface reconstruction achieves good and fast…

Computational Geometry · Computer Science 2025-06-23 Yueji Ma , Yanzun Meng , Dong Xiao , Zuoqiang Shi , Bin Wang

With the increasing growth of technology and the entrance into the digital age, we have to handle a vast amount of information every time which often presents difficulties. So, the digital information must be stored and retrieved in an…

Multimedia · Computer Science 2012-08-15 Kamrul Hasan Talukder , Koichi Harada