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Federated learning (FL) and federated distillation (FD) are distributed learning paradigms that train UE models with enhanced privacy, each offering different trade-offs between noise robustness and learning speed. To mitigate their…

Machine Learning · Computer Science 2026-01-09 Yongjun Kim , Hyeongjun Park , Hwanjin Kim , Junil Choi

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

In this paper an alternative approach to solve uncertain Stochastic Differential Equation (SDE) is proposed. This uncertainty occurs due to the involved parameters in system and these are considered as Triangular Fuzzy Numbers (TFN). Here…

Numerical Analysis · Computer Science 2015-02-11 Sukanta Nayak , Snehashish Chakraverty

The starting point of this paper is the introduction of a new measure of inclusion of fuzzy set A in fuzzy set B. Previously used inclusion measures take values in the interval [0,1]; the inclusion measure proposed here takes values in a…

Other Computer Science · Computer Science 2011-11-09 Ath. Kehagias , M. Konstantinidou

Federated Learning (FL) has been an area of active research in recent years. There have been numerous studies in FL to make it more successful in the presence of data heterogeneity. However, despite the existence of many publications, the…

Machine Learning · Computer Science 2023-07-31 Mahdi Morafah , Weijia Wang , Bill Lin

Federated learning becomes increasingly attractive in the areas of wireless communications and machine learning due to its powerful functions and potential applications. In contrast to other machine learning tools that require no…

Information Theory · Computer Science 2020-05-13 Zhijin Qin , Geoffrey Ye Li , Hao Ye

Machine learning can greatly benefit from providing learning algorithms with pairs of contrastive training examples -- typically pairs of instances that differ only slightly, yet have different class labels. Intuitively, the difference in…

Machine Learning · Computer Science 2025-06-23 Farnam Mansouri , Hans U. Simon , Adish Singla , Yuxin Chen , Sandra Zilles

Federated learning involves training statistical models over edge devices such as mobile phones such that the training data is kept local. Federated Learning (FL) can serve as an ideal candidate for training spatial temporal models that…

Machine Learning · Computer Science 2024-02-09 Yacine Belal , Sonia Ben Mokhtar , Hamed Haddadi , Jaron Wang , Afra Mashhadi

We study a fuzzy Boltzmann equation, where particles interact via delocalised collisions, in contrast to classical Boltzmann equations. We discuss the existence and uniqueness of solutions and provide a natural variational characterisation…

Analysis of PDEs · Mathematics 2024-04-19 Matthias Erbar , Zihui He

Federated learning (FL) is a recently proposed distributed machine learning paradigm dealing with distributed and private data sets. Based on the data partition pattern, FL is often categorized into horizontal, vertical, and hybrid…

Machine Learning · Computer Science 2021-02-19 Xinwei Zhang , Wotao Yin , Mingyi Hong , Tianyi Chen

A fuzzy theoretic analytical approach was recently introduced that leads to efficient and robust models while addressing automatically the typical issues associated to parametric deep models. However, a formal conceptualization of the fuzzy…

Machine Learning · Computer Science 2022-06-13 Mohit Kumar , Bernhard A. Moser , Lukas Fischer , Bernhard Freudenthaler

Fractional Differential Equations (FDEs) are essential tools for modelling complex systems in science and engineering. They extend the traditional concepts of differentiation and integration to non-integer orders, enabling a more precise…

Machine Learning · Computer Science 2025-03-27 C. Coelho , M. Fernanda P. Costa , L. L. Ferrás

In this study, we introduce the Fuzzy Additive Model (FAM) and FAM with Explainability (FAME) as a solution for Explainable Artificial Intelligence (XAI). The family consists of three layers: (1) a Projection Layer that compresses the input…

Machine Learning · Computer Science 2025-04-10 Omer Bahadir Gokmen , Yusuf Guven , Tufan Kumbasar

Collocations are important for many tasks of Natural language processing such as information retrieval, machine translation, computational lexicography etc. So far many statistical methods have been used for collocation extraction. Almost…

Computation and Language · Computer Science 2008-11-11 Raj Kishor Bisht , H. S. Dhami

In this paper, We have introduced a new class of sequences of fuzzy numbers defined by using modulus function and generalized weighted mean over the class defined in \cite{OS}. We have proved that this class form a quasilinear complete…

General Mathematics · Mathematics 2016-02-12 Sarita Ojha , P. D. Srivastava

Given that the restricted equivalence functions (REFs) can serve to measure the similarity of two fuzzy sets, this motivates the integration of REFs with similarity-based approximate reasoning systems to enhance inference capabilities.…

General Mathematics · Mathematics 2026-05-04 Dechao Li , Yuhui Zhu

This study concerns the use of e-learning in the mathematics education system, shedding the light on its advantages and disadvantages, analyzing its applicability either partially or totally, and discussing the ways of improvement. From…

History and Overview · Mathematics 2023-01-31 Hasan Almanasreh

Federated learning (FL) is a privacy-preserving learning technique that enables distributed computing devices to train shared learning models across data silos collaboratively. Existing FL works mostly focus on designing advanced FL…

Machine Learning · Computer Science 2023-02-20 Yash Travadi , Le Peng , Xuan Bi , Ju Sun , Mochen Yang

In federated learning (FL), accommodating clients' varied computational capacities poses a challenge, often limiting the participation of those with constrained resources in global model training. To address this issue, the concept of model…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-10 Feijie Wu , Xingchen Wang , Yaqing Wang , Tianci Liu , Lu Su , Jing Gao

We introduce a general theory of epistemic random fuzzy sets for reasoning with fuzzy or crisp evidence. This framework generalizes both the Dempster-Shafer theory of belief functions, and possibility theory. Independent epistemic random…

Artificial Intelligence · Computer Science 2024-05-08 Thierry Denoeux