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In many fields where human understanding plays a crucial role, such as bioprocesses, the capacity of extracting knowledge from data is of critical importance. Within this framework, fuzzy learning methods, if properly used, can greatly help…

Machine Learning · Computer Science 2008-08-22 Sébastien Destercke , Serge Guillaume , Brigitte Charnomordic

We introduce a finite dimensional matrix model approximation to the algebra of functions on a disc based on noncommutative geometry. The algebra is a subalgebra of the one characterizing the noncommutative plane with a * product and depends…

High Energy Physics - Theory · Physics 2014-11-18 F. Lizzi , P. Vitale , A. Zampini

We develop an effective nonhierarchical data clustering method using an analogy to the dynamic coarse graining of a stochastic system. Analyzing the eigensystem of an interitem transition matrix identifies fuzzy clusters corresponding to…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Daniel Korenblum , David Shalloway

This paper shows a novel fuzzy approximate reasoning method based on the least common multiple (LCM). Its fundamental idea is to obtain a new fuzzy reasoning result by the extended distance measure based on LCM between the antecedent fuzzy…

Artificial Intelligence · Computer Science 2020-10-13 I. M. Son , S. I. Kwak , M. O. Choe

The treatment of complex systems often requires the manipulation of vague, imprecise and uncertain information. Indeed, the human being is competent in handling of such systems in a natural way. Instead of thinking in mathematical terms,…

Artificial Intelligence · Computer Science 2013-11-20 Baghdad Atmani , Sofia Benbelkacem , Mohamed Benamina

Decision-making in real applications is often affected by vagueness, incomplete information, heterogeneous data, and conflicting expert opinions. This survey reviews uncertainty-aware multi-criteria decision-making (MCDM) and organizes the…

Artificial Intelligence · Computer Science 2026-03-23 Takaaki Fujita , Florentin Smarandache

We propose semantic fusion, a lightweight scheme that augments a Transformer language model (LM) with a parallel, fuzzy-membership feature channel that encodes token-level semantics. Each token is represented by a vector of interpretable…

Artificial Intelligence · Computer Science 2025-09-18 Yongchao Huang , Hassan Raza

The rapid growth of unlabeled time series data, driven by the Internet of Things (IoT), poses significant challenges in uncovering underlying patterns. Traditional unsupervised clustering methods often fail to capture the complex nature of…

Machine Learning · Computer Science 2025-03-31 Congyu Wang , Mingjing Du , Xiang Jiang , Yongquan Dong

Object-Centric Learning (OCL) aims to discover objects in images or videos by reconstructing the input. Representative methods achieve this by reconstructing the input as its Variational Autoencoder (VAE) discrete representations, which…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Rongzhen Zhao , Vivienne Wang , Juho Kannala , Joni Pajarinen

Inconsistency in prediction problems occurs when instances that relate in a certain way on condition attributes, do not follow the same relation on the decision attribute. For example, in ordinal classification with monotonicity…

Artificial Intelligence · Computer Science 2021-11-29 Marko Palangetić , Chris Cornelis , Salvatore Greco , Roman Słowiński

Complex systems are typically characterized by intricate internal dynamics that are often hard to elucidate. Ideally, this requires methods that allow to detect and classify in unsupervised way the microscopic dynamical events occurring in…

Data Analysis, Statistics and Probability · Physics 2024-11-26 Matteo Becchi , Federico Fantolino , Giovanni M. Pavan

Compositional generalization, the ability to reason about novel combinations of familiar concepts, is fundamental to human cognition and a critical challenge for machine learning. Object-centric (OC) representations, which encode a scene as…

Computer Vision and Pattern Recognition · Computer Science 2026-02-19 Ferdinand Kapl , Amir Mohammad Karimi Mamaghan , Maximilian Seitzer , Karl Henrik Johansson , Carsten Marr , Stefan Bauer , Andrea Dittadi

Humans naturally decompose their environment into entities at the appropriate level of abstraction to act in the world. Allowing machine learning algorithms to derive this decomposition in an unsupervised way has become an important line of…

For the semantic segmentation of images, state-of-the-art deep neural networks (DNNs) achieve high segmentation accuracy if that task is restricted to a closed set of classes. However, as of now DNNs have limited ability to operate in an…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Svenja Uhlemeyer , Matthias Rottmann , Hanno Gottschalk

Out-of-distribution (OOD) detection aims to discern outliers from the intended data distribution, which is crucial to maintaining high reliability and a good user experience. Most recent studies in OOD detection utilize the information from…

Computation and Language · Computer Science 2022-10-21 Hyunsoo Cho , Choonghyun Park , Jaewook Kang , Kang Min Yoo , Taeuk Kim , Sang-goo Lee

The fuzzy integral is a powerful parametric nonlin-ear function with utility in a wide range of applications, from information fusion to classification, regression, decision making,interpolation, metrics, morphology, and beyond. While the…

Artificial Intelligence · Computer Science 2020-10-22 Derek Anderson , Matthew Deardorff , Timothy Havens , Siva Kakula , Timothy Wilkin , Muhammad Islam , Anthony Pinar , Andrew Buck

Probabilistic programming languages (PPLs) are an expressive and intuitive means of representing complex probability distributions. In that realm, languages like Dice target an important class of probabilistic programs: those whose…

Logic in Computer Science · Computer Science 2026-02-24 Tobias Gürtler , Benjamin Lucien Kaminski

Unsupervised Re-ID methods aim at learning robust and discriminative features from unlabeled data. However, existing methods often ignore the relationship between module parameters of Re-ID framework and feature distributions, which may…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Ziqi He , Mengjia Xue , Yunhao Du , Zhicheng Zhao , Fei Su

Vision-Language Models (VLMs) have shown significant progress in open-set challenges. However, the limited availability of 3D datasets hinders their effective application in 3D scene understanding. We propose LOC, a general language-guided…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Yuhang Gao , Xiang Xiang , Sheng Zhong , Guoyou Wang

The bag of words (BOW) represents a corpus in a matrix whose elements are the frequency of words. However, each row in the matrix is a very high-dimensional sparse vector. Dimension reduction (DR) is a popular method to address sparsity and…

Machine Learning · Statistics 2017-12-19 Amir Karami
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