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The use of Environmental Microorganisms (EMs) offers a highly efficient, low cost and harmless remedy to environmental pollution, by monitoring and decomposing of pollutants. This relies on how the EMs are correctly segmented and…

Computer Vision and Pattern Recognition · Computer Science 2022-09-01 Frank Kulwa , Chen Li , Marcin Grzegorzek , Md Mamunur Rahaman , Kimiaki Shirahama , Sergey Kosov

I discuss approaches to optimally remove noise from images. A generalization of Wiener filtering to Non-Gaussian distributions and wavelets is described, as well as an approach to measure the errors in the reconstructed images. We argue…

Astrophysics · Physics 2009-10-31 Ue-Li Pen

We introduce a fast algorithm for generating long self-affine profiles. The algorithm, which is based on the fast wavelet transform, is faster than the conventional Fourier filtering algorithm. In addition to increased performance for large…

Disordered Systems and Neural Networks · Physics 2010-05-04 Ingve Simonsen , Alex Hansen

In this paper we propose a wavelet-based methodology for estimation and variable selection in partially linear models. The inference is conducted in the wavelet domain, which provides a sparse and localized decomposition appropriate for…

Methodology · Statistics 2016-09-26 Norbert Remenyi

Objective detection of specific patterns in statistical distributions, like groupings or gaps or abrupt transitions between different subsets, is a task with a rich range of applications in astronomy: Milky Way stellar population analysis,…

Instrumentation and Methods for Astrophysics · Physics 2018-05-09 Roman V. Baluev

Bipartite networks are of great importance in many real-world applications. In bipartite networks, butterfly (i.e., a complete 2 x 2 biclique) is the smallest non-trivial cohesive structure and plays a key role. In this paper, we study the…

Social and Information Networks · Computer Science 2019-06-28 Kai Wang , Xuemin Lin , Lu Qin , Wenjie Zhang , Ying Zhang

Digital image segmentation is the process of assigning distinct labels to different objects in a digital image, and the fuzzy segmentation algorithm has been successfully used in the segmentation of images from a wide variety of sources.…

Computer Vision and Pattern Recognition · Computer Science 2017-10-10 José F. S. Neto , Waldson P. N. Leandro , Matheus A. Gadelha , Tiago S. Santos , Bruno M. Carvalho , Edgar Garduño

It is well-known that curvelets provide optimal approximations for so-called cartoon images which are defined as piecewise $C^2$-functions, separated by a $C^2$ singularity curve. In this paper, we consider the more general case of…

Functional Analysis · Mathematics 2014-04-04 Philipp Grohs , Sandra Keiper , Gitta Kutyniok , Martin Schäfer

This paper deals with the problem of the multivariate copula density estimation. Using wavelet methods we provide two shrinkage procedures based on thresholding rules for which the knowledge of the regularity of the copula density to be…

Statistics Theory · Mathematics 2011-11-04 Florent Autin , Erwan Le Pennec , Karine Tribouley

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

This paper presents the Discrete Wavelet based fusion techniques for combining perceptually important image features. SPIHT (Set Partitioning in Hierarchical Trees) algorithm is an efficient method for lossy and lossless coding of fused…

Computer Vision and Pattern Recognition · Computer Science 2012-03-02 S. Chitra , J. B. Bhattacharjee , B. Thilakavathi

We propose a new wavelet-based method for density estimation when the data are size-biased. More specifically, we consider a power of the density of interest, where this power exceeds 1/2. Warped wavelet bases are employed, where warping is…

Methodology · Statistics 2022-12-08 Michel H. Montoril , Aluísio Pinheiro , Brani Vidakovic

We study ways to expedite Yates's algorithm for computing the zeta and Moebius transforms of a function defined on the subset lattice. We develop a trimmed variant of Moebius inversion that proceeds point by point, finishing the calculation…

Data Structures and Algorithms · Computer Science 2008-02-21 Andreas Björklund , Thore Husfeldt , Petteri Kaski , Mikko Koivisto

Normalizing flows are a class of probabilistic generative models which allow for both fast density computation and efficient sampling and are effective at modelling complex distributions like images. A drawback among current methods is…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Jason J. Yu , Konstantinos G. Derpanis , Marcus A. Brubaker

This paper provides a comprehensive study on features and performance of different ways to incorporate neural networks into lifting-based wavelet-like transforms, within the context of fully scalable and accessible image compression.…

Image and Video Processing · Electrical Eng. & Systems 2024-10-28 Xinyue Li , Aous Naman , David Taubman

We show that rate-adaptive multivariate density estimation can be performed using Bayesian methods based on Dirichlet mixtures of normal kernels with a prior distribution on the kernel's covariance matrix parameter. We derive sufficient…

Statistics Theory · Mathematics 2013-08-22 Weining Shen , Surya T. Tokdar , Subhashis Ghosal

The continuous wavelet transform (CWT) is very useful for processing signals with intricate and irregular structures in astrophysics and cosmology. It is crucial to propose precise and fast algorithms for the CWT. In this work, we review…

Instrumentation and Methods for Astrophysics · Physics 2024-08-28 Yun Wang , Ping He

Recent advancements in deep neural networks have significantly enhanced the performance of semantic segmentation. However, class imbalance and instance imbalance remain persistent challenges, where smaller instances and thin boundaries are…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Renhao Lu

Real-time semantic segmentation plays an important role in practical applications such as self-driving and robots. Most semantic segmentation research focuses on improving estimation accuracy with little consideration on efficiency. Several…

Computer Vision and Pattern Recognition · Computer Science 2020-01-01 Shao-Yuan Lo , Hsueh-Ming Hang , Sheng-Wei Chan , Jing-Jhih Lin

As a pixel-level prediction task, semantic segmentation needs large computational cost with enormous parameters to obtain high performance. Recently, due to the increasing demand for autonomous systems and robots, it is significant to make…

Computer Vision and Pattern Recognition · Computer Science 2019-10-02 Gen Li , Inyoung Yun , Jonghyun Kim , Joongkyu Kim
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