Results 21 to 30 of about 3,398 (121)
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
wiley +1 more source
Mathematics, 2023 In this work, we used reflexive Banach spaces to study the differential variational—hemivariational inequality problems with constraints. We established a sequence of perturbed differential variational–hemivariational inequality problems with perturbed ...
Shih-Sen Chang +4 more
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Weak Convergence of $n$-Particle Systems Using Bilinear Forms [PDF]
, 2013 The paper is concerned with the weak convergence of $n$-particle processes to deterministic stationary paths as $n\to\infty$. A Mosco type convergence of a class of bilinear forms is introduced.
Löbus, Jörg-Uwe
core +1 more source
H-compactness of elliptic operators on weighted Riemannian Manifolds [PDF]
, 2019 In this paper we study the asymptotic behavior of second-order uniformly elliptic operators on weighted Riemannian manifolds. They naturally emerge when studying spectral properties of the Laplace-Beltrami operator on families of manifolds with rapidly ...
Hoppe, Helmer +2 more
core +3 more sources
On Mosco convergence of convex sets [PDF]
Bulletin of the Australian Mathematical Society, 1988 We present a natural topology compatible with the Mosco convergence of sequences of closed convex sets in a reflexive space, and characterise the topology in terms of the continuity of the distance between convex sets and fixed weakly compact ones. When the space is separable, the topology is Polish.
openaire +1 more source
Reinforcement problems for variational inequalities on fractal sets [PDF]
, 2015 The aim of this paper is to study reinforcement problems for variational inequalities of the obstacle type on fractal ...
Capitanelli, Raffaela +1 more
core +1 more source