Results 21 to 30 of about 86 (83)
On the cross‐validation bias due to unsupervised preprocessing
Journal of the Royal Statistical Society: Series B (Statistical Methodology), Volume 84, Issue 4, Page 1474-1502, September 2022., 2022 Abstract Cross‐validation is the de facto standard for predictive model evaluation and selection. In proper use, it provides an unbiased estimate of a model's predictive performance. However, data sets often undergo various forms of data‐dependent preprocessing, such as mean‐centring, rescaling, dimensionality reduction and outlier removal. It is often
Amit Moscovich, Saharon Rosset
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Functional Ecology, Volume 36, Issue 7, Page 1806-1817, July 2022., 2022 Read the free Plain Language Summary for this article on the Journal blog. Abstract The avian beak is a key morphological trait used for foraging. If parasites alter beak shape, we may expect changes in host foraging behaviour. Larvae of the avian vampire fly Philornis downsi cause naris enlargement in Darwin's finch nestlings when first and second ...
Sonia Kleindorfer +8 more
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Diversity and Distributions, Volume 28, Issue 6, Page 1313-1326, June 2022., 2022 Abstract Aim Pleistocene climatic fluctuations have been identified as a dominant factor in evolutionary and ecological processes underlying contemporary species distribution. In contrast, anthropogenic activity during the Holocene has been largely neglected in phylogeographic inference.
Tongyi Liu +4 more
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Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space
Abstract and Applied Analysis, Volume 2022, Issue 1, 2022., 2022 In this paper, we first introduce two new notions of uniform convexity on a geodesic space, and we prove their properties. Moreover, we reintroduce a concept of the set‐convergence in complete geodesic spaces, and we prove a relation between the metric projections and the convergence of a sequence of sets.
Yasunori Kimura +2 more
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Graph‐like spaces approximated by discrete graphs and applications
Mathematische Nachrichten, Volume 294, Issue 11, Page 2237-2278, November 2021., 2021 Abstract We define a distance between energy forms on a graph‐like metric measure space and on a suitable discrete weighted graph using the concept of quasi‐unitary equivalence. We apply this result to metric graphs, graph‐like manifolds (e.g. a small neighbourhood of an embedded metric graph) or pcf self‐similar fractals as metric measure spaces with ...
Olaf Post, Jan Simmer
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Convergence theorems for Banach space valued integrable multifunctions
International Journal of Mathematics and Mathematical Sciences, 1987 In this work we generalize a result of Kato on the pointwise behavior of a weakly convergent sequence in the Lebesgue-Bochner spaces LXP(Ω) (1≤p≤∞). Then we use that result to prove Fatou's type lemmata and dominated convergence theorems for the Aumann ...
Nikolaos S. Papageorgiou
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“Does Anybody Have A Map?”: The Impact of “Virtual Broadway” on Musical Theater Composition
, 2021 The Journal of Popular Culture, Volume 54, Issue 2, Page 276-300, April 2021.
Clare Chandler, Simeon Scheuber‐Rush
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Convergence Results for Elliptic Variational-Hemivariational Inequalities
Advances in Nonlinear Analysis, 2020 We consider an elliptic variational-hemivariational inequality 𝓟 in a reflexive Banach space, governed by a set of constraints K, a nonlinear operator A, and an element f.
Cai Dong-ling +2 more
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On the continuity of the vector valued and set valued conditional expectations
International Journal of Mathematics and Mathematical Sciences, 1989 In this paper we study the dependence of the vector valued conditional expectation (for both single valued and set valued random variables), on the σ–field and random variable that determine it. So we prove that it is continuous for the L1(X) convergence
Nikolaos S. Papageorgiou
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A strong law of large numbers for independent compactly uniformly integrable random sets [PDF]
Arab Journal of Mathematical SciencesPurposeThe aim of this work is to prove a strong law of large numbers for a sequence of independent compactly uniformly integrable random sets with values in the family of convex closed subsets of a separable Banach space E, again without requiring any ...
Mohammed El Allali +2 more
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