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An investigation of deep fuzzy systems is presented in this paper. A deep fuzzy system is represented by recursive fuzzy systems from an input terminal to output terminal. Recursive fuzzy systems are sequences of fuzzy grade memberships…

Other Computer Science · Computer Science 2019-06-20 Khaled Ahmed Nagaty

We show that recent results on randomized dimension reduction schemes that exploit structural properties of data can be applied in the context of persistent homology. In the spirit of compressed sensing, the dimension reduction is…

Computational Geometry · Computer Science 2019-09-09 Martin Lotz

Model compression is important in federated learning (FL) with large models to reduce communication cost. Prior works have been focusing on sparsification based compression that could desparately affect the global model accuracy. In this…

Machine Learning · Computer Science 2022-04-05 Shengyuan Hu , Jack Goetz , Kshitiz Malik , Hongyuan Zhan , Zhe Liu , Yue Liu

Suppose there is a large file which should be transmitted (or stored) and there are several (say, m) admissible data-compressors. It seems natural to try all the compressors and then choose the best, i.e. the one that gives the shortest…

Information Theory · Computer Science 2018-09-11 Boris Ryabko

This paper provides an in-depth review of the optimal design of type-1 and type-2 fuzzy inference systems (FIS) using five well known computational frameworks: genetic-fuzzy systems (GFS), neuro-fuzzy systems (NFS), hierarchical fuzzy…

Artificial Intelligence · Computer Science 2019-08-28 Varun Ojha , Ajith Abraham , Vaclav Snasel

Data preprocessing is an important component of machine learning pipelines, which requires ample time and resources. An integral part of preprocessing is data transformation into the format required by a given learning algorithm. This paper…

Machine Learning · Computer Science 2020-10-30 Nada Lavrač , Blaž Škrlj , Marko Robnik-Šikonja

Resource allocation is a fundamental problem in Industrial Internet of Things (IIoT) systems, in which devices work together under limited communication bandwidth to complete diverse tasks. This paper proposes a communication-efficient…

Optimization and Control · Mathematics 2026-05-26 Yuzhu Duan , Ziwen Yang , Xiaoming Duan , Shanying Zhu

One of the fundamental steps toward understanding a complex system is identifying variation at the scale of the system's components that is most relevant to behavior on a macroscopic scale. Mutual information provides a natural means of…

Machine Learning · Computer Science 2024-03-20 Kieran A. Murphy , Dani S. Bassett

Data fabric is an automated and AI-driven data fusion approach to accomplish data management unification without moving data to a centralized location for solving complex data problems. In a Federated learning architecture, the global model…

This study aims to alleviate the trade-off between utility and privacy of differentially private clustering. Existing works focus on simple methods, which show poor performance for non-convex clusters. To fit complex cluster distributions,…

Machine Learning · Computer Science 2024-08-23 Junyoung Byun , Yujin Choi , Jaewook Lee

For finite-dimensional quantum systems, such as qubits, a well established strategy to protect such systems from decoherence is dynamical decoupling. However many promising quantum devices, such as oscillators, are infinite dimensional, for…

Quantum Physics · Physics 2017-04-05 Christian Arenz , Robin Hillier , Daniel Burgarth

This paper initiates the study of picture fuzzy topological spaces. In order to develop a mechanism to construct picture fuzzy topological spaces, we prove some basic results related to picture fuzzy sets together with the introduction of…

General Mathematics · Mathematics 2022-01-25 Abdul Razaq , Harish Garg , Umer Shuaib

Physics concepts have often been borrowed and independently developed by other fields of science. In this perspective a significant example is that of entropy in Information Theory. The aim of this paper is to provide a short and…

Physics Education · Physics 2007-05-23 Andrea Baronchelli , Emanuele Caglioti , Vittorio Loreto

Most of the world's digital data is currently encoded in a sequential form, and compression methods for sequences have been studied extensively. However, there are many types of non-sequential data for which good compression techniques are…

Information Theory · Computer Science 2016-01-15 Christian Steinruecken

Privacy-preserving data processing refers to the methods and models that allow computing and analyzing sensitive data with a guarantee of confidentiality. As cloud computing and applications that rely on data continue to expand, there is an…

Cryptography and Security · Computer Science 2026-01-13 Gaurav Sarraf , Vibhor Pal

We present an informal survey (meant to accompany another paper) on graph compression methods. We focus on lossless methods, briefly list available pproaches, and compare them where possible or give some indicators on their compression…

Data Structures and Algorithms · Computer Science 2015-04-03 Sebastian Maneth , Fabian Peternek

The increasing rise in artificial intelligence has made the use of imprecise language in computer programs like ChatGPT more prominent. Fuzzy logic addresses this form of imprecise language by introducing the concept of fuzzy sets, where…

Databases · Computer Science 2023-11-08 Kevin Min , Hayden Jananthan , Jeremy Kepner

Bipolar fuzzy relation equations arise as a generalization of fuzzy relation equations considering unknown variables together with their logical connective negations. The occurrence of a variable and the occurrence of its negation…

Artificial Intelligence · Computer Science 2024-10-07 M. Eugenia Cornejo , David Lobo , Jesús Medina

In this new and current era of technology, advancements and techniques, efficient and effective text document classification is becoming a challenging and highly required area to capably categorize text documents into mutually exclusive…

Information Retrieval · Computer Science 2012-04-11 Shalini Puri , Sona Kaushik

Unlike traditional distributed machine learning, federated learning stores data locally for training and then aggregates the models on the server, which solves the data security problem that may arise in traditional distributed machine…

Machine Learning · Computer Science 2023-01-02 Wan Jiang , Gang Liu , Xiaofeng Chen , Yipeng Zhou