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The input of most clustering algorithms is a symmetric matrix quantifying similarity within data pairs. Such a matrix is here turned into a quadratic set function measuring cluster score or similarity within data subsets larger than pairs.…

Discrete Mathematics · Computer Science 2015-09-30 Giovanni Rossi

Clustering is an important facet of explorative data mining and finds extensive use in several fields. In this paper, we propose an extension of the classical Fuzzy C-Means clustering algorithm. The proposed algorithm, abbreviated as VFC,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Srinjoy Ganguly , Digbalay Bose , Amit Konar

Clustering uncertain data has emerged as a challenging task in uncertain data management and mining. Thanks to a computational complexity advantage over other clustering paradigms, partitional clustering has been particularly studied and a…

Databases · Computer Science 2012-03-30 Francesco Gullo , Andrea Tagarelli

This paper investigates into the colorization problem which converts a grayscale image to a colorful version. This is a very difficult problem and normally requires manual adjustment to achieve artifact-free quality. For instance, it…

Computer Vision and Pattern Recognition · Computer Science 2016-05-03 Zezhou Cheng , Qingxiong Yang , Bin Sheng

Chromatic dispersion compensation (CDC), implemented in either the time-domain or frequency-domain, is crucial for enhancing power efficiency in the digital signal processing of modern optical fiber communication systems. Developing…

Signal Processing · Electrical Eng. & Systems 2025-03-18 Wenkai Wan , Aiying Yang , Peng Guo , Zhe Zhao , Tianjia Xu , Jinxuan Wu , Zhiheng Liu

Given a grayscale photograph as input, this paper attacks the problem of hallucinating a plausible color version of the photograph. This problem is clearly underconstrained, so previous approaches have either relied on significant user…

Computer Vision and Pattern Recognition · Computer Science 2016-10-06 Richard Zhang , Phillip Isola , Alexei A. Efros

Although the validation step can appear crucial in the case of clustering adopting fuzzy approaches, the problem of the partition validity obtained by those adopting the hard ones was not tackled. To cure this problem, we propose in this…

Other Computer Science · Computer Science 2012-04-17 Minyar Sassi

Modelling of complex systems is mainly based on the decomposition of these systems in autonomous elements, and the identification and definitio9n of possible interactions between these elements. For this, the agent-based approach is a…

Artificial Intelligence · Computer Science 2013-02-27 Alain-Jérôme Fougères

Line-based density plots are used to reduce visual clutter in line charts with a multitude of individual lines. However, these traditional density plots are often perceived ambiguously, which obstructs the user's identification of…

Graphics · Computer Science 2023-11-23 Yumeng Xue , Patrick Paetzold , Rebecca Kehlbeck , Bin Chen , Kin Chung Kwan , Yunhai Wang , Oliver Deussen

Centroid-based methods including k-means and fuzzy c-means are known as effective and easy-to-implement approaches to clustering purposes in many applications. However, these algorithms cannot be directly applied to supervised tasks. This…

Machine Learning · Computer Science 2021-04-20 Pooya Ashtari , Fateme Nateghi Haredasht , Hamid Beigy

Clustering is one of the widely used data mining techniques for medical diagnosis. Clustering can be considered as the most important unsupervised learning technique. Most of the clustering methods group data based on distance and few…

Machine Learning · Computer Science 2012-12-24 K. Dhanalakshmi , H. Hannah Inbarani

Cluster assignment of large and complex images is a crucial but challenging task in pattern recognition and computer vision. In this study, we explore the possibility of employing fuzzy clustering in a deep neural network framework. Thus,…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Dayu Tan , Zheng Huang , Xin Peng , Weimin Zhong , Vladimir Mahalec

Fuzzy K-Means clustering is a critical technique in unsupervised data analysis. Unlike traditional hard clustering algorithms such as K-Means, it allows data points to belong to multiple clusters with varying degrees of membership,…

Machine Learning · Computer Science 2024-11-08 Yichen Bao , Han Lu , Quanxue Gao

Art objects can evoke certain emotions. Color is a fundamental element of visual art and plays a significant role in how art is perceived. This paper introduces a novel approach to classifying emotions in art using Fuzzy Sets. We employ a…

Computer Vision and Pattern Recognition · Computer Science 2024-04-10 Muragul Muratbekova , Pakizar Shamoi

Clustering is an efficient and essential technique for exploring latent knowledge of data. However, limited attention has been given to the interpretability of the clusters detected by most clustering algorithms. In addition, due to the…

Machine Learning · Computer Science 2025-04-08 Suhang Gu , Ye Wang , Yongxin Chou , Jinliang Cong , Mingli Lu , Zhuqing Jiao

Federated Learning (FL) is a setting where multiple parties with distributed data collaborate in training a joint Machine Learning (ML) model while keeping all data local at the parties. Federated clustering is an area of research within FL…

Machine Learning · Computer Science 2022-01-20 Morris Stallmann , Anna Wilbik

A novel procedure to perform fuzzy clustering of multivariate time series generated from different dependence models is proposed. Different amounts of dissimilarity between the generating models or changes on the dynamic behaviours over…

Methodology · Statistics 2021-09-09 Ángel López-Oriona , José A. Vilar , Pierpaolo-D'Urso

About 8% of the male population of the world are affected by a determined type of color vision disturbance, which varies from the partial to complete reduction of the ability to distinguish certain colors. A considerable amount of color…

Computer Vision and Pattern Recognition · Computer Science 2017-11-30 Jinmi Lee , Wellington Pinheiro dos Santos

We consider a framework for clustering edge-colored hypergraphs, where the goal is to cluster (equivalently, to color) objects based on the primary type of multiway interactions they participate in. One well-studied objective is to color…

Data Structures and Algorithms · Computer Science 2025-02-19 Alex Crane , Thomas Stanley , Blair D. Sullivan , Nate Veldt

The colorization of grayscale images is a complex and subjective task with significant challenges. Despite recent progress in employing large-scale datasets with deep neural networks, difficulties with controllability and visual quality…

Computer Vision and Pattern Recognition · Computer Science 2023-12-08 Nir Zabari , Aharon Azulay , Alexey Gorkor , Tavi Halperin , Ohad Fried