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In a data matrix, we may distinguish between cases, each represented by a row vector for a statistical unit, and cells, which correspond to single entries of the data matrix. Recent developments in Robust Statistics have introduced the…

In this paper we propose a novel approach for learning from data using rule based fuzzy inference systems where the model parameters are estimated using Bayesian inference and Markov Chain Monte Carlo (MCMC) techniques. We show the…

Machine Learning · Statistics 2018-06-25 Indranil Pan , Dirk Bester

Fuzzy systems are a way to allow machines, systems and frameworks to deal with uncertainty, which is not possible in binary systems that most computers use. These systems have already been deployed for certain use cases, and fuzzy systems…

Machine Learning · Computer Science 2025-07-10 Arthur Alexander Lim , Zhen Bin It , Jovan Bowen Heng , Tee Hui Teo

In a recent paper [1] we introduced the Fuzzy Bayesian Learning (FBL) paradigm where expert opinions can be encoded in the form of fuzzy rule bases and the hyper-parameters of the fuzzy sets can be learned from data using a Bayesian…

Machine Learning · Statistics 2017-04-07 Indranil Pan , Dirk Bester

Methods for analyzing or learning from "fuzzy data" have attracted increasing attention in recent years. In many cases, however, existing methods (for precise, non-fuzzy data) are extended to the fuzzy case in an ad-hoc manner, and without…

Machine Learning · Computer Science 2017-10-10 Eyke Hüllermeier

The deep extension of the restricted Boltzmann machine (RBM), known as the deep Boltzmann machine (DBM), is an expressive family of machine learning models which can serve as compact representations of complex probability distributions.…

Machine Learning · Computer Science 2021-02-18 Haik Manukian , Massimiliano Di Ventra

In dealing with veracity of data analytics, fuzzy methods are more and more relying on probabilistic and statistical techniques to underpin their applicability. Conversely, standard statistical models usually disregard to take into account…

Statistics Theory · Mathematics 2019-12-23 Elvira Di Nardo , Rosaria Simone

The methods of extracting image features are the key to many image processing tasks. At present, the most popular method is the deep neural network which can automatically extract robust features through end-to-end training instead of…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Xiang Ma , Liangzhe Chen , Zhaohong Deng , Peng Xu , Qisheng Yan , Kup-Sze Choi , Shitong Wang

Artificial intelligence models trained from data can only be as good as the underlying data is. Biases in training data propagating through to the output of a machine learning model are a well-documented and well-understood phenomenon, but…

Machine Learning · Computer Science 2025-04-02 Stefan Rass , Martin Dallinger

Fuzzy data, prevalent in social sciences and other fields, capture uncertainties arising from subjective evaluations and measurement imprecision. Despite significant advancements in fuzzy statistics, a unified inferential regression-based…

Methodology · Statistics 2025-06-05 Antonio Calcagnì , Przemysław Grzegorzewski , Maciej Romaniuk

Fuzzy clustering methods allow the objects to belong to several clusters simultaneously, with different degrees of membership. However, a factor that influences the performance of fuzzy algorithms is the value of fuzzifier parameter. In…

Methodology · Statistics 2015-10-08 Carmela Iorio , Gianluca Frasso , Antonio D'Ambrosio , Roberta Siciliano

Interpretability has always been a major concern for fuzzy rule-based classifiers. The usage of human-readable models allows them to explain the reasoning behind their predictions and decisions. However, when it comes to Big Data…

Machine Learning · Computer Science 2019-02-26 Mikel Elkano , Jose Sanz , Edurne Barrenechea , Humberto Bustince , Mikel Galar

Robust optimization has been established as a leading methodology to approach decision problems under uncertainty. To derive a robust optimization model, a central ingredient is to identify a suitable model for uncertainty, which is called…

Optimization and Control · Mathematics 2021-09-10 Marc Goerigk , Jannis Kurtz

Recently, several studies have claimed that using class-specific feature subsets provides certain advantages over using a single feature subset for representing the data for a classification problem. Unlike traditional feature selection…

Machine Learning · Computer Science 2023-07-11 Suchismita Das , Nikhil R. Pal

Fuzzy rough set theory is effective for processing datasets with complex attributes, supported by a solid mathematical foundation and closely linked to kernel methods in machine learning. Attribute reduction algorithms and classifiers based…

Artificial Intelligence · Computer Science 2025-01-31 Shuyin Xia , Xiaoyu Lian , Binbin Sang , Guoyin Wang , Xinbo Gao

Graphical models are a rich language for describing high-dimensional distributions in terms of their dependence structure. While there are algorithms with provable guarantees for learning undirected graphical models in a variety of…

Machine Learning · Computer Science 2018-11-07 Guy Bresler , Frederic Koehler , Ankur Moitra , Elchanan Mossel

Fuzzy Cognitive Maps (FCMs) is a complex systems modeling technique which, due to its unique advantages, has lately risen in popularity. They are based on graphs that represent the causal relationships among the parameters of the system to…

Neural and Evolutionary Computing · Computer Science 2021-02-02 Stefanos Tsimenidis

The integration of different learning paradigms has long been a focus of machine learning research, aimed at overcoming the inherent limitations of individual methods. Fuzzy rule-based models excel in interpretability and have seen…

Machine Learning · Computer Science 2025-11-12 Jinbo Li , Peng Liu , Long Chen , Witold Pedrycz , Weiping Ding

Many state-of-the-art technologies developed in recent years have been influenced by machine learning to some extent. Most popular at the time of this writing are artificial intelligence methodologies that fall under the umbrella of deep…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Stanton R. Price , Steven R. Price , Derek T. Anderson

This paper proposes a novel fuzzy action selection method to leverage human knowledge in reinforcement learning problems. Based on the estimates of the most current action-state values, the proposed fuzzy nonlinear mapping as-signs each…

Artificial Intelligence · Computer Science 2021-06-15 Mohsen Annabestani , Ali Abedi , Mohammad Reza Nematollahi , Mohammad Bagher Naghibi Sis-tani
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