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Image quantization is used in several applications aiming in reducing the number of available colors in an image and therefore its size. De-quantization is the task of reversing the quantization effect and recovering the original…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Kalliopi Basioti , George V. Moustakides

Clustering artworks is difficult for several reasons. On the one hand, recognizing meaningful patterns in accordance with domain knowledge and visual perception is extremely difficult. On the other hand, applying traditional clustering and…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Giovanna Castellano , Gennaro Vessio

The search for image compression optimization techniques is a topic of constant interest both in and out of academic circles. One method that shows promise toward future improvements in this field is image colorization since image…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Ian Tassin , Kristen Goebel , Brittany Lasher

We present an asymptotic criterion to determine the optimal number of clusters in k-means. We consider k-means as data compression, and propose to adopt the number of clusters that minimizes the estimated description length after…

Machine Learning · Statistics 2017-03-02 Hiromitsu Mizutani , Ryota Kanai

Nowadays digital image compression and decompression techniques are very much important. So our aim is to calculate the quality of face and other regions of the compressed image with respect to the original image. Image segmentation is…

Computer Vision and Pattern Recognition · Computer Science 2014-02-07 Abhishek Bhattacharya , Tanusree Chatterjee

The ability to characterize the color content of natural imagery is an important application of image processing. The pixel by pixel coloring of images may be viewed naturally as points in color space, and the inherent structure and…

Geometric Topology · Mathematics 2012-02-21 Lori Ziegelmeier , Michael Kirby , Chris Peterson

Clustering large, mixed data is a central problem in data mining. Many approaches adopt the idea of k-means, and hence are sensitive to initialisation, detect only spherical clusters, and require a priori the unknown number of clusters. We…

Machine Learning · Statistics 2020-11-13 Joshua Tobin , Mimi Zhang

Vector Quantization (VQ) is an appealing model compression method to obtain a tiny model with less accuracy loss. While methods to obtain better codebooks and codes under fixed clustering dimensionality have been extensively studied,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Zezhou Zhu , Yucong Zhou , Zhao Zhong

Though mostly used as a clustering algorithm, k-means are originally designed as a quantization algorithm. Namely, it aims at providing a compression of a probability distribution with k points. Building upon [21, 33], we try to investigate…

Statistics Theory · Mathematics 2018-01-31 Clément Levrard

Inpainting-based compression represents images in terms of a sparse subset of its pixel data. Storing the carefully optimised positions of known data creates a lossless compression problem on sparse and often scattered binary images. This…

Image and Video Processing · Electrical Eng. & Systems 2021-08-03 Rahul Mohideen Kaja Mohideen , Pascal Peter , Joachim Weickert

Specific data compression techniques, formalized by the concept of coresets, proved to be powerful for many optimization problems. In fact, while tightly controlling the approximation error, coresets may lead to significant speed up of the…

Optimization and Control · Mathematics 2022-04-05 Maximilian Fiedler , Peter Gritzmann , Fabian Klemm

Embedding tables are used by machine learning systems to work with categorical features. In modern Recommendation Systems, these tables can be very large, necessitating the development of new methods for fitting them in memory, even during…

Machine Learning · Computer Science 2023-10-24 Henry Ling-Hei Tsang , Thomas Dybdahl Ahle

Deep image clustering methods are typically evaluated on small-scale balanced classification datasets while feature-based $k$-means has been applied on proprietary billion-scale datasets. In this work, we explore the performance of…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Nikolas Adaloglou , Felix Michels , Kaspar Senft , Diana Petrusheva , Markus Kollmann

Large-scale image datasets are fundamental to deep learning, but their high storage demands pose challenges for deployment in resource-constrained environments. While existing approaches reduce dataset size by discarding samples, they often…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Chenyue Yu , Lingao Xiao , Jinhong Deng , Ivor W. Tsang , Yang He

This work explores the scope of Frequent Sequence Mining in the domain of Lossy Image Compression. The proposed work is based on the idea of clustering pixels and using the cluster identifiers in the compression. The DCT phase in JPEG is…

Image and Video Processing · Electrical Eng. & Systems 2026-01-28 Avinash Kadimisetty , Oswald C , Sivaselvan B , Alekhya Kadimisetty

In this work we focus on the problem of colorization for image compression. Since color information occupies a large proportion of the total storage size of an image, a method that can predict accurate color from its grayscale version can…

Computer Vision and Pattern Recognition · Computer Science 2017-03-03 Mohammad Haris Baig , Lorenzo Torresani

In this contribution, the clustering procedure based on K-Means algorithm is studied as an inverse problem, which is a special case of the illposed problems. The attempts to improve the quality of the clustering inverse problem drive to…

Numerical Analysis · Mathematics 2022-11-16 Alberto Arturo Vergani

We consider some iterative methods for finding the best interpolation data in the images compression with noise. The interpolation data consists of the set of pixels and their grey/color values. The aim in the iterative approach is to allow…

Analysis of PDEs · Mathematics 2022-09-30 Zakaria Belhachmi , Thomas Jacumin

It is well-known that there is no universal metric for image quality evaluation. In this case, distortion-specific metrics can be more reliable. The artifact imposed by image compression can be considered as a combination of various…

Image and Video Processing · Electrical Eng. & Systems 2024-02-05 S. Farhad Hosseini-Benvidi , Hossein Motamednia , Azadeh Mansouri , Mohammadreza Raei , Ahmad Mahmoudi-Aznaveh

Inpainting-based codecs store sparse, quantised pixel data directly and decode by interpolating the discarded image parts. This interpolation can be used simultaneously for efficient coding by predicting pixel data to be stored. Such joint…

Image and Video Processing · Electrical Eng. & Systems 2020-10-21 Rahul Mohideen Kaja Mohideen , Pascal Peter , Tobias Alt , Joachim Weickert , Alexander Scheer