Results 11 to 20 of about 69,240 (308)
On contraction coefficients, partial orders and approximation of capacities for quantum channels [PDF]
Quantum, 2022 The data processing inequality is the most basic requirement for any meaningful measure of information. It essentially states that distinguishability measures between states decrease if we apply a quantum channel and is the centerpiece of many results in
Christoph Hirche +2 more
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Partial Order Rank Features in Colour Space [PDF]
Applied Sciences, 2020 Partial orders are the natural mathematical structure for comparing multivariate data that, like colours, lack a natural order. We introduce a novel, general approach to defining rank features in colour spaces based on partial orders, and show that it is
Fabrizio Smeraldi +3 more
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On Information Orders on Metric Spaces
Information, 2021 Information orders play a central role in the mathematical foundations of Computer Science. Concretely, they are a suitable tool to describe processes in which the information increases successively in each step of the computation.
Oliver Olela Otafudu, Oscar Valero
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Transition graphs of interacting hysterons: structure, design, organization and statistics [PDF]
Royal Society Open ScienceTransition graphs capture the memory and sequential response of multistable media, by specifying their evolution under external driving. Microscopically, collections of bistable elements, or hysterons, provide a powerful model for these materials, with ...
Margot Teunisse, Martin van Hecke
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Statistical significance of episodes with general partial orders
Information Sciences, 2015 Frequent episode discovery is one of the methods used for temporal pattern discovery in sequential data. An episode is a partially ordered set of nodes with each node associated with an event type.
Sastry, PS, Achar, Avinash
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A General Extension Theorem for Directed-Complete Partial Orders [PDF]
Reports on Mathematical Logic, 2018 The typical indirect proof of an abstract extension theorem, by the Kuratowski-Zorn lemma, is based on a one-step extension argument. While Bell has observed this in case of the axiom of choice, for subfunctions of a given relation, we now consider such ...
Schuster, P +3 more
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Generalized Dold Sequences on Partially-Ordered Sets [PDF]
The Electronic Journal of Combinatorics, 2022 Dold sequences constitute an important class of integer sequences that play an important role in combinatorics, number theory, topology and dynamical systems. We generalize the notion of Dold sequence for the case of partially ordered sets and describe their properties.
Grzegorz Graff +2 more
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Big Ramsey Degrees of the Generic Partial Order [PDF]
, 2021 As a result of 33 intercontinental Zoom calls, we characterise big Ramsey degrees of the generic partial order in a similar way as Devlin characterised big Ramsey degrees of the generic linear order (the order of rationals).
Balko, Martin +6 more
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Healthcare Analytics, 2023 This study presents a fractional mathematical model based on nonlinear Partial Differential Equations (PDEs) of fractional variable-order derivatives for the host populations experiencing transmission and evolution of the Severe Acute Respiratory ...
Hayman Thabet, Subhash Kendre
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Non-singular spherical harmonic expressions of geomagnetic vector and gradient tensor fields in the local north-oriented reference frame [PDF]
Geoscientific Model Development, 2015 General expressions of magnetic vector (MV) and magnetic gradient tensor (MGT) in terms of the first- and second-order derivatives of spherical harmonics at different degrees/orders are relatively complicated and singular at the poles. In this paper, we
J. Du, C. Chen, V. Lesur, L. Wang
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