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Several data analysis techniques employ similarity relationships between data points to uncover the intrinsic dimension and geometric structure of the underlying data-generating mechanism. In this paper we work under the model assumption…

Machine Learning · Statistics 2019-04-09 Nicolas Garcia Trillos , Daniel Sanz-Alonso , Ruiyi Yang

The process of using one image to guide the filtering process of another one is called Guided Image Filtering (GIF). The main challenge of GIF is the structure inconsistency between the guidance image and the target image. Besides, noise in…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Wei Liu , Xiaogang Chen , Chunhua Shen , Jingyi Yu , Qiang Wu , Jie Yang

In this paper we propose a method of proving impossibility results based on applying strong data-processing inequalities to estimate mutual information between sets of variables forming certain Markov random fields. The end result is that…

Information Theory · Computer Science 2020-05-22 Yury Polyanskiy , Yihong Wu

Data stream has been the underlying challenge in the age of big data because it calls for real-time data processing with the absence of a retraining process and/or an iterative learning approach. In realm of fuzzy system community, data…

Neural and Evolutionary Computing · Computer Science 2018-08-29 Md Meftahul Ferdaus , Mahardhika Pratama , Sreenatha G. Anavatti , Matthew A. Garratt

We survey information-theoretic approaches to the reduction of Markov chains. Our survey is structured in two parts: The first part considers Markov chain coarse graining, which focuses on projecting the Markov chain to a process on a…

Information Theory · Computer Science 2022-05-02 Bernhard C. Geiger

In the realm of data classification, broad learning system (BLS) has proven to be a potent tool that utilizes a layer-by-layer feed-forward neural network. However, the traditional BLS treats all samples as equally significant, which makes…

Machine Learning · Computer Science 2024-05-17 M. Sajid , A. K. Malik , M. Tanveer

Phishing attacks represent an increasingly sophisticated and pervasive threat to individuals and organizations, causing significant financial losses, identity theft, and severe damage to institutional reputations. Existing phishing…

Cryptography and Security · Computer Science 2025-04-29 Lohith Srikanth Pentapalli , Jon Salisbury , Josette Riep , Kelly Cohen

The shapes and morphological features of grains in sand assemblies have far-reaching implications in many engineering applications, such as geotechnical engineering, computer animations, petroleum engineering, and concentrated solar power.…

Computational Engineering, Finance, and Science · Computer Science 2023-06-08 Nikolaos N. Vlassis , WaiChing Sun , Khalid A. Alshibli , Richard A. Regueiro

A fuzzy inference system was developed for predicting the heat index from temperature and relative humidity data. The effectiveness of fuzzy logic in using imprecise mapping of input to output to encode interconnectedness of system…

Machine Learning · Computer Science 2022-10-31 Nnamdi Uzoukwu , Acep Purqon

Progress in the application of machine learning (ML) methods to materials design is hindered by the lack of understanding of the reliability of ML predictions, in particular for the application of ML to small data sets often found in…

Materials Science · Physics 2023-04-06 Evan M. Askanazi , Emanuel A. Lazar , Ilya Grinberg

This study, fundamentals of fuzzy block theory, and its application in assessment of stability in underground openings, has surveyed. Using fuzzy topics and inserting them in to key block theory, in two ways, fundamentals of fuzzy block…

Artificial Intelligence · Computer Science 2008-05-16 H. Owladeghaffari

The Gaussian graphical model is a widely used tool for learning gene regulatory networks with high-dimensional gene expression data. Most existing methods for Gaussian graphical models assume that the data are homogeneous, i.e., all samples…

Methodology · Statistics 2018-05-08 Bochao Jia , Faming Liang

Fuzzy clustering has become a widely used data mining technique and plays an important role in grouping, traversing and selectively using data for user specified applications. The deterministic Fuzzy C-Means (FCM) algorithm may result in…

Neural and Evolutionary Computing · Computer Science 2018-10-23 Saptarshi Sengupta , Sanchita Basak , Richard Alan Peters

Fuzzy clustering algorithms can be roughly categorized into two main groups: Fuzzy C-Means (FCM) based methods and mixture model based methods. However, for almost all existing FCM based methods, how to automatically selecting proper…

Machine Learning · Computer Science 2024-05-24 Qiang Chen , Weizhong Yu , Feiping Nie , Xuelong Li

In order to achieve faster and more robust convergence (especially under noisy working environments), a sliding mode theory-based learning algorithm has been proposed to tune both the premise and consequent parts of type-2 fuzzy neural…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Erkan Kayacan , Erdal Kayacan , Mojtaba Ahmadieh Khanesar

Pythagorean fuzzy sets provide stronger ability than intuitionistic fuzzy sets to model uncertainty information and knowledge, but little effort has been paid to conflict analysis of Pythagorean fuzzy information systems. In this paper, we…

Artificial Intelligence · Computer Science 2017-07-13 Guangming Lang

We develop an information-theoretic approach to isoperimetric inequalities based on entropy dissipation under heat flow. By viewing diffusion as a noisy information channel, we measure how mutual information about set membership decays over…

Differential Geometry · Mathematics 2025-11-20 Amandip Sangha

In this paper, we are trying to examine trade offs between fuzzy logic and certain Bayesian networks and we propose to combine their respective advantages into fuzzy certain Bayesian networks (FCBN), a certain Bayesian networks of fuzzy…

Artificial Intelligence · Computer Science 2012-06-07 Abdelkader Heni , Mohamed Nazih Omri , Adel Alimi

Information theory is an outstanding framework to measure uncertainty, dependence and relevance in data and systems. It has several desirable properties for real world applications: it naturally deals with multivariate data, it can handle…

Machine Learning · Statistics 2024-10-30 Valero Laparra , J. Emmanuel Johnson , Gustau Camps-Valls , Raul Santos-Rodríguez , Jesus Malo

Neural operations that rely on neighborhood information are much more expensive when deployed on point clouds than on grid data due to the irregular distances between points in a point cloud. In a grid, on the other hand, we can compute the…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Putri A. van der Linden , David W. Romero , Erik J. Bekkers