Results 11 to 20 of about 140 (137)
CoRR, 2022 We study supervised learning problems that have significant effects on individuals from two demographic groups, and we seek predictors that are fair with respect to a group fairness criterion such as statistical parity (SP). A predictor is SP-fair if the distributions of predictions within the two groups are close in Kolmogorov distance, and fairness ...
Rychener, Yves +2 more
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𝜅-metrizable spaces, stratifiable spaces and metrization [PDF]
Proceedings of the American Mathematical Society, 1989 It is shown that every κ \kappa ...
Suzuki, J., Tamano, K., Tanaka, Y.
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European Journal of Combinatorics, 2019 We present an algorithm that, given a channel, determines if there is a distance for it such that the maximum likelihood decoder coincides with the minimum distance decoder. We also show that any metric, up to a decoding equivalence, can be isometrically embedded into the hypercube with the Hamming metric, and thus, in terms of decoding, the Hamming ...
Rafael Gregorio Lucas D'Oliveira +1 more
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Proceedings of the American Mathematical Society, 1966 A. characterization of metrizable topological spaces in terms of subtopologies is given. First, several terms are defined in order to describe the pertinent subtopologies. Then, the characterization is readily established as a result of a metrization theorem due to Bing [l ] and a metrization theorem due to Ceder [2]. Definition 1.
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Metrizable and $\mathbb {R}$-metrizable betweenness spaces [PDF]
Proceedings of the American Mathematical Society, 1999 If \(d\) is a metric on a nonempty set \(A\) taking values in an ordered field then \((A,T_d)\), with \(T_d(x,y,z):\leftrightarrow d(x,y)+d(y,z)=d(x,z)\), will be called a metrizable betweenness space (MBS). If \(d\) takes values in \({\mathbb R}\), then \((A,T_d)\) is called an \({\mathbb R}\)-MBS.
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Partial metrizability in value quantales
Applied General Topology, 2004 Partial metrics are metrics except that the distance from a point to itself need not be 0. These are useful in modelling partially defined information, which often appears in computer science.
Ralph D. Kopperman +2 more
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Electronic Notes in Theoretical Computer Science, 2007 AbstractEvery second-countable regular topological space X is metrizable. For a given “computable” topological space satisfying an axiom of computable regularity M. Schröder [M. Schröder, Effective metrization of regular spaces, in: K.-I. Ko, A. Nerode, M. B. Pour-El, K. Weihrauch and J.
Tanja Grubba, Klaus Weihrauch
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Quasi-pseudometrizability of the point open ordered spaces and the compact open ordered spaces
International Journal of Mathematics and Mathematical Sciences, 2001 We determine conditions for quasi-pseudometrizability of the point open ordered spaces and the compact open ordered spaces. This generalizes the results on metrizability of the point open topology and the compact open topology for function spaces.
Koena Rufus Nailana
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A Rim-Metrizable Continuum [PDF]
Proceedings of the American Mathematical Society, 1995 A locally connected rim-metrizable continuum is constructed which admits a continuous mapping onto a non rim-metrizable space.
Nikiel, J. +2 more
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S-Metrizability and the Wallman basis of a frame [PDF]
Categories and General Algebraic Structures with ApplicationsThe Wallman basis of a frame and the corresponding induced compactification was first investigated by Baboolal [2]. In this paper, we provide an intrinsic characterisation of S-metrizability in terms of the Wallman basis of a frame. Particularly, we show
Cerene Rathilal
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