Results 21 to 30 of about 115,684,632 (178)
Going Beyond the Data as the Patching (Sheaving) of Local Knowledge
Frontiers in Psychology, 2018 Consistently predicting outcomes in novel situations is colloquially called “going beyond the data,” or “generalization.” Going beyond the data features in spatial and non-spatial cognition, raising the question of whether such features have a common ...
Steven Phillips
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A short history of algebraic statistics [PDF]
, 2008 In algebraic statistics, computational techniques from algebraic geometry become tools to address statistical problems. This, in turn, may prompt research in algebraic geometry. The basic ideas at the core of algebraic statistics will be presented. In
Eva Riccomagno, Riccomagno, Eva
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On a notion of entropy in coarse geometry
Topological Algebra and its Applications, 2019 The notion of entropy appears in many branches of mathematics. In each setting (e.g., probability spaces, sets, topological spaces) entropy is a non-negative real-valued function measuring the randomness and disorder that a self-morphism creates. In this
Zava Nicolò
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Applications of the Topological Data Analysis in Real Life
WSEAS Transactions on Mathematics, 2022 Statistical topology inference is a branch of algebraic topology that analyzes the geometric structure's global topological properties underlying a point cloud dataset.
S. Rida, A. H. Noreldeen, F. R. Karar
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International Journal of Mathematical Combinatorics, Vol.3 [PDF]
, 2009 The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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Algebraic entropy for algebraic maps [PDF]
, 2015 We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map.
Hone, A. N. W. +4 more
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On the geometry and topology of Cayley condition in Poncelet porism for triangles [PDF]
Differential geometry and its applicationsThis paper investigates the differential-geometric and topological properties of the Cayley condition in Poncelet porism for triangles, defined as the locus of pairs of non-degenerate conics that admit a Poncelet triangle.
Yirmeyahu Kaminski
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Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry [PDF]
, 2013 This note surveys basic topological properties of nonarchimedean analytic spaces, in the sense of Berkovich, including the recent tameness results of Hrushovski and Loeser.
Sam Payne
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Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals [PDF]
The importance of simple geometrical invariants, such as the Berry curvature and quantum metric, constructed from the Bloch states of a crystal has become well-established over four decades of research.
J. Mitscherling +2 more
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Topological Multi-groups and Multi-fields [PDF]
, 2009 Topological groups, particularly, Lie groups are very important in differential geometry, analytic mechanics and theoretical physics. Applying Smarandache multi-spaces, topological spaces, particularly, manifolds and groups were generalized to ...
MAO, Linfan
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