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We introduce a new framework for learning dense correspondence between deformable 3D shapes. Existing learning based approaches model shape correspondence as a labelling problem, where each point of a query shape receives a label…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Or Litany , Tal Remez , Emanuele Rodolà , Alex M. Bronstein , Michael M. Bronstein

Patterns are fundamental to human cognition, enabling the recognition of structure and regularity across diverse domains. In this work, we focus on structural repeats, patterns that arise from the repetition of hierarchical relations within…

Computation and Language · Computer Science 2025-04-15 Zeng Ren , Xinyi Guan , Martin Rohrmeier

Spatial interaction and spatial autocorrelation are two different fields of geo-spatial analysis, revealing the internal relationship between the two fields will help to develop the theory and method of geographical analysis. This paper is…

Physics and Society · Physics 2023-05-30 Yanguang Chen

Intrinsic isometric shape matching has become the standard approach for pose invariant correspondence estimation among deformable shapes. Most existing approaches assume global consistency, i.e., the metric structure of the whole manifold…

Computer Vision and Pattern Recognition · Computer Science 2014-01-14 Alan Brunton , Michael Wand , Stefanie Wuhrer , Hans-Peter Seidel , Tino Weinkauf

This paper considers metric spaces where distances between a pair of nodes are represented by distance intervals. The goal is to study methods for the determination of hierarchical clusters, i.e., a family of nested partitions indexed by a…

Social and Information Networks · Computer Science 2016-10-17 Weiyu Huang , Alejandro Ribeiro

This paper introduces a novel Choquet distance using fuzzy rough set based measures. The proposed distance measure combines the attribute information received from fuzzy rough set theory with the flexibility of the Choquet integral. This…

Machine Learning · Computer Science 2025-02-18 Adnan Theerens , Chris Cornelis

A fuzzy clustering algorithm for multidimensional data is proposed in this article. The data is described by vectors whose components are linguistic variables defined in an ordinal scale. The obtained results confirm the efficiency of the…

Artificial Intelligence · Computer Science 2017-01-16 Zhengbing Hu , Yevgeniy V. Bodyanskiy , Oleksii K. Tyshchenko , Viktoriia O. Samitova

Information extraction identifies useful and relevant text in a document and converts unstructured text into a form that can be loaded into a database table. Named entity extraction is a main task in the process of information extraction…

Information Retrieval · Computer Science 2013-03-05 Kanagavalli V R , Raja. K

This article discusses a particular case of the data clustering problem, where it is necessary to find groups of adjacent text segments of the appropriate length that match a fuzzy pattern represented as a sequence of fuzzy properties. To…

Artificial Intelligence · Computer Science 2022-02-01 Armen Kostanyan , Arevik Harmandayan

Recent advancements in machine learning (ML) for materials have demonstrated that "simple" materials representations (e.g., the chemical formula alone without structural information) can sometimes achieve competitive property prediction…

Materials Science · Physics 2025-01-31 Raul Ortega-Ochoa , Alán Aspuru-Guzik , Tejs Vegge , Tonio Buonassisi

Remote sensing images and techniques are powerful tools to investigate earth surface. Data quality is the key to enhance remote sensing applications and obtaining a clear and noise-free set of data is very difficult in most situations due…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Hessah Albanwan , Rongjun Qin

The need to measure bias encoded in tabular data that are used to solve pattern recognition problems is widely recognized by academia, legislators and enterprises alike. In previous work, we proposed a bias quantification measure, called…

Machine Learning · Computer Science 2022-01-24 Gonzalo Nápoles , Lisa Koutsoviti Koumeri

Limits and colimits of diagrams, defined by maps between sets, are universal constructions fundamental in different mathematical domains and key concepts in theoretical computer science. Its importance in semantic modeling is described by…

Logic in Computer Science · Computer Science 2016-04-12 Carlos Leandro , Luís Monteiro

The nature of an atom in a bonded structure -- such as in molecules, in nanoparticles or solids, at surfaces or interfaces -- depends on its local atomic environment. In atomic-scale modeling and simulation, identifying groups of atoms with…

Chemical Physics · Physics 2023-06-29 King Chun Lai , Sebastian Matera , Christoph Scheurer , Karsten Reuter

This paper discusses a class of uncertain optimization problems, in which unknown parameters are modeled by fuzzy intervals. The membership functions of the fuzzy intervals are interpreted as possibility distributions for the values of the…

Data Structures and Algorithms · Computer Science 2020-09-15 Adam Kasperski , Pawel Zielinski

The precise tracking of micron sized colloidal particles - held in the vicinity of each other using optical tweezers - is an elegant way to gain information about the particle-particle pair interaction potential. The accuracy of the method,…

Optics · Physics 2017-09-26 Chi Zhang , Georges Brügger , Frank Scheffold

Spatial and spatiotemporal volatility models are a class of models designed to capture spatial dependence in the volatility of spatial and spatiotemporal data. Spatial dependence in the volatility may arise due to spatial spillovers among…

Econometrics · Economics 2023-08-28 Philipp Otto , Osman Doğan , Süleyman Taşpınar , Wolfgang Schmid , Anil K. Bera

The introduction of Fuzzy Relational Equations (FREs) has made problems that were unsolvable using algebraic linear equations into solvable ones. FREs have been applied to problemsin medicine, industry, transportation and all types of…

General Mathematics · Mathematics 2007-05-23 W. B. Vasantha Kandasamy , Florentin Smarandache

Fuzzy authentication allows authentication based on the fuzzy matching of two objects, for example based on the similarity of two strings in the Hamming metric, or on the similiarity of two sets in the set difference metric. Aim of this…

Information Theory · Computer Science 2017-03-10 Alessandro Neri , Joachim Rosenthal , Davide Schipani

On the basis of network analysis, and within the context of modeling imprecision or vague information with fuzzy sets, we propose an innovative way to analyze, aggregate and apply this uncertain knowledge into community detection of…

Statistics Theory · Mathematics 2024-02-08 Inmaculada Gutiérrez , Daniel Gómez , Javier Castro , Rosa Espínola