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Estimation of density functions supported on general domains arises when the data is naturally restricted to a proper subset of the real space. This problem is complicated by typically intractable normalizing constants. Score matching…

Methodology · Statistics 2020-09-25 Shiqing Yu , Mathias Drton , Ali Shojaie

In the paper, a Newton-type method for the solution of generalized equations (GEs) is derived, where the linearization concerns both the single-valued and the multi-valued part of the considered GE. The method is based on the new notion of…

Optimization and Control · Mathematics 2019-04-22 H. Gfrerer , J. V. Outrata

This article aims to introduce the broad field of soft active matter physics and its relevance to the life sciences in simple, accessible language. Although this area of research is relatively new, it has already demonstrated significant…

Soft Condensed Matter · Physics 2026-04-14 Nitin Kumar

Interval valued bipolar fuzzy weighted neutrosophic set(IVBFWN-set) is a new generalization of fuzzy set, bipolar fuzzy set, neutrosophic set and bipolar neutrosophic set so that it can handle uncertain information more flexibly in the…

General Mathematics · Mathematics 2016-02-08 Irfan Deli , Yusuf Şubaş , Florentin Smaradache , Mumtaz Ali

We present a brief overview of some key concepts in the theory of generalised complex manifolds. This new geometry interpolates, so to speak, between symplectic geometry and complex geometry. As such it provides an ideal framework to…

Mathematical Physics · Physics 2015-08-21 P. Fernandez de Cordoba , J. M. Isidro

We introduce the framework of general probabilistic theories (GPTs for short). GPTs are a class of operational theories that generalize both finite-dimensional classical and quantum theory, but they also include other, more exotic theories,…

Quantum Physics · Physics 2023-10-27 Martin Plávala

Generalized zero-shot learning (GZSL) aims to train a model for classifying data samples under the condition that some output classes are unknown during supervised learning. To address this challenging task, GZSL leverages semantic…

Computer Vision and Pattern Recognition · Computer Science 2022-07-18 Farhad Pourpanah , Moloud Abdar , Yuxuan Luo , Xinlei Zhou , Ran Wang , Chee Peng Lim , Xi-Zhao Wang , Q. M. Jonathan Wu

Compact sets in constructive mathematics capture our intuition of what computable subsets of the plane (or any other complete metric space) ought to be. A good representation of compact sets provides an efficient means of creating and…

Logic in Computer Science · Computer Science 2010-08-04 Russell O'Connor

In this paper, we introduce the neutrosophic contractive and neutrosophic mapping. We establish some results on fixed points of a neutrosophic mapping.

General Mathematics · Mathematics 2019-10-09 Murat Kirişci , Necip Şimşek , Mahmut Akyiğit

Axiomatic set theory is almost universally accepted as the basic theory which provides the foundations of mathematics, and in which the whole of present day mathematics can be developed. As such, it is the most natural framework for…

Logic in Computer Science · Computer Science 2012-03-29 Arnon Avron

Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because…

Artificial Intelligence · Computer Science 2014-06-10 Florentin Smarandache

In a previous work ("Abstract Data Type Systems", TCS 173(2), 1997), the last two authors presented a combined language made of a (strongly normalizing) algebraic rewrite system and a typed lambda-calculus enriched by pattern-matching…

Logic in Computer Science · Computer Science 2013-09-17 Frédéric Blanqui , Jean-Pierre Jouannaud , Mitsuhiro Okada

Mustafa and Sims [12] introduced the notion of $G$-metric as a possible generalization of usual notion of a metric space. The author generalized the notion of G-metric to more than three variables and introduced the concept of Generalized…

General Topology · Mathematics 2021-08-21 Kamran Alam Khan

Statistical ensembles of networks, i.e., probability spaces of all networks that are consistent with given aggregate statistics, have become instrumental in the analysis of complex networks. Their numerical and analytical study provides the…

Physics and Society · Physics 2016-08-09 Giona Casiraghi , Vahan Nanumyan , Ingo Scholtes , Frank Schweitzer

The main aim of the present work is to arrive at a mathematical theory close to the historically original conception of generalized functions, i.e. set theoretical functions defined on, and with values in, a suitable ring of scalars and…

Functional Analysis · Mathematics 2024-09-02 Paolo Giordano , Michael Kunzinger , Hans Vernaeve

Generalized topological spaces in the sense of Cs\'{a}sz\'{a}r have two main features which distinguish them from typical topologies. First, these families of subsets are not closed under intersections. Second, we allow for the possibility…

Logic · Mathematics 2019-09-23 Tomasz Witczak

Rough set theory is a new method that deals with vagueness and uncertainty emphasized in decision making. Data mining is a discipline that has an important contribution to data analysis, discovery of new meaningful knowledge, and autonomous…

Databases · Computer Science 2013-11-19 Thabet Slimani

The purpose of this simple note is to provide elementary model-theoretic proofs to some existing results on sumset phenomena and IP sets, motivated by Hrushovski's work on the stabilizer theorem.

Logic · Mathematics 2024-06-18 Amador Martin-Pizarro , Daniel Palacín

This paper present a strong data mining method based on rough set, which can realize feature selection, classification and knowledge representation at the same time. Rough set has good interpretability, and is a popular method for feature…

Machine Learning · Computer Science 2022-01-13 Shuyin Xia , Xinyu Bai , Guoyin Wang , Deyu Meng , Xinbo Gao , Zizhong Chen , Elisabeth Giem

Convolutional neural networks require numerous data for training. Considering the difficulties in data collection and labeling in some specific tasks, existing approaches generally use models pre-trained on a large source domain (e.g.…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Zhichen Zhao , Bowen Zhang , Yuning Jiang , Li Xu , Lei Li , Wei-Ying Ma