Results 61 to 70 of about 5,027 (259)
A note on generalised information criteria for structured sparse models
International Statistical Review, EarlyView.Summary We propose a generalised information criteria ( gic) that accounts for sparsity pattern in the model. We obtain both asymptotic and nonasymptotic results for model selection. Moreover, we show that the gic is useful for selecting the regularisation parameter in regularised m$$ m $$ estimation in high‐dimensional scenarios.
Eduardo Fonseca Mendes +1 more
wiley +1 more source
Selectors for Borel sets with large sections
, 1983 We prove a result asserting the existence of a Borel selector for a Borel set in the product of two Polish spaces. This subsumes a number of results about Borel selectors for Borel sets having large sections.
Ashok Maitra
core +1 more source
Borel type asymptotic relation for entire Dirichlet series and $h$-measure of an exceptional sets
Математичні СтудіїThere are presented sufficient conditions for the entire Dirichlet series with monotonically increasing sequence of exponents providing validity of Borel-type relation outside some set $E$ of finite $h$-measure, i.e. $m_h E=\int_E dh(x)
A. O. Kuryliak, T. M. Salo
doaj +1 more source
A note on Riemann integrability
International Journal of Mathematics and Mathematical Sciences, 1978 In this note we define Riemann integrabillty for real valued functions defined on a compact metric space accompanied by a finite Borel measure. If the measure of each open ball equals the measure of its corresponding closed ball, then a bounded function ...
G. A. Beer
doaj +1 more source
Journal of Sleep Research, Volume 34, Issue 2, April 2025.This scheme illustrates the main results of the present study showing an increase in circulating free fatty acids (FFA) that are likely to be related to several mechanisms like decrease in FFA insulin sensitivity and increase in FFA production. Significant changes are labelled in white, and non‐significant or hypothesis are labelled in pale green ...
Anne Briançon‐Marjollet +8 more
wiley +1 more source
Extensions of lattice set functions to regular Borel measures
, 2012 CITATION: Maritz, P. 2012. Extensions of lattice set functions to regular Borel measures. Journal of Informatics and Mathematical Sciences, 4(1):1–14, doi:10.26713/jims.v4i1.62.The original publication is available at https://www.rgnpublications.comThis
Maritz. P.
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Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We study quantum integrable models with GL(3) trigonometric $R$-matrix and solvable by the nested algebraic Bethe ansatz.Using the presentation of the universal Bethe vectors in terms of projections of products of the currents of the quantum affine ...
Samuel Belliard +3 more
doaj +1 more source
THE PROGRAM ITERATIONS METHOD IN GAME PROBLEM OF GUIDANCE AND SET-VALUED QUASISTRATEGIES
Ural Mathematical Journal, 2016 We consider a differential game of guidance-evasion, which is solved with the program iterations method. The iterated procedure is realized in the space of sets, the elements of which are the game's positions.
Alexander G. Chentsov
doaj +1 more source
Annales Mathematicae Silesianae, 2020 The paper consists of two parts. At first, assuming that (Ω, A, P) is a probability space and (X, ϱ) is a complete and separable metric space with the σ-algebra of all its Borel subsets we consider the set c of all ⊗ 𝒜-measurable and contractive in ...
Baron Karol
doaj +1 more source
The Annals of Probability, 1981 A family of games $G = G(\sigma, u)$ is defined such that (a) for each $\sigma$ the set of all $u$ for which Player I can force a win in $G(\sigma, u)$ is a Borel set $B(u)$ and (b) every Borel set is a $B(u)$ for some $u$.
openaire +3 more sources