Results 71 to 80 of about 3,011 (212)
Abstract and Applied Analysis, 2011 The purpose of this paper is to give some properties of several 𝑞-Bernstein-type polynomials to express the 𝑞-integral on [0, 1] in terms of 𝑞-beta and 𝑞-gamma functions.
Taekyun Kim
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Human Brain Mapping, Volume 47, Issue 8, June 1, 2026.We propose MSSM+, an extension of multiscale structural mapping (MSSM), together with surface supervertex mapping (SSVM) and a Supervertex Vision Transformer (SV‐ViT). Together, these methods exhibited better performance in detecting Alzheimer's disease and less variability across MR vendors than MSSM.
Geonwoo Baek +3 more
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Gram Decay and Intrinsic Dimensions of Krylov Subspaces
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT Krylov subspace methods solve large sparse linear systems Ax=b$$ Ax=b $$ by building a sequence of polynomial approximations to A−1b$$ {A}^{-1}b $$ from successive matrix‐vector products. In finite precision, the number of numerically independent directions that can be extracted from this sequence is bounded by the intrinsic information ...
Stephen J. Thomas
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Bernstein polynomials and learning theory
Journal of Approximation Theory, 2004 Let \(f(x)= -x\log x- (I- x)\log(1 - x)\) for \(0\leq x\leq 1\); it is referred to as the entropy function. Let \(B_n[f]\) denote the nth Bernstein polynomial of \(f\). One half of the paper establishes the estimates \[ f(x)- B_n[f](x)\geq {1\over 2n}+ {1\over 20n^2 x(1-x)}- {1\over 12n^2}\text{ for }{15\over n}\leq x\leq 1-{15\over n}, \] \[ \lim_{n ...
Dietrich Braess, Tomas Sauer
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Circular Bernstein polynomial distributions [PDF]
This paper introduces a new non-parametric approach to the modeling of circular data, based on the use of Bernstein polynomial densities which generalizes the standard Bernstein polynomial model to account for the specific characteristics of circular ...
José Antonio Carnicero +2 more
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Quantum (q, h)-Bézier surfaces based on bivariate (q, h)-blossoming
Demonstratio Mathematica, 2019 We introduce the (q, h)-blossom of bivariate polynomials, and we define the bivariate (q, h)-Bernstein polynomials and (q, h)-Bézier surfaces on rectangular domains using the tensor product.
Jegdić Ilija +2 more
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A numerical study for off-centered stagnation flow towards a rotating disc
Propulsion and Power Research, 2015 In this investigation, a semi-numerical method based on Bernstein polynomials for solving off-centered stagnation flow towards a rotating disc is introduced.
M. Heydari +3 more
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Neural Network Repair With Shapley‐Guided Search
CAAI Transactions on Intelligence Technology, Volume 11, Issue 3, Page 816-834, June 2026.ABSTRACT The deployment of deep neural networks (DNNs) in safety‐critical domains is critically hampered by their vulnerability to defects, which can arise from malicious attacks or low‐quality data. Therefore, precisely locating the network components responsible for these defects, and subsequently repairing them without compromising overall model ...
Xiaofu Du +4 more
wiley +1 more source
Area of Bernstein-Type Polynomials [PDF]
Proceedings of the American Mathematical Society, 1974 Bernstein polynomials in one variable are known to be total-variation diminishing when compared to the approximated function f . Here we consider the two variable case and give a counterexample to show they are not area-diminishing.
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Asymptotic properties of the Bernstein density copula for dependent data [PDF]
Copulas are extensively used for dependence modeling. In many cases the data does not reveal how the dependence can be modeled using a particular parametric copula. Nonparametric copulas do not share this problem since they are entirely data based.
ROMBOUTS, Jeroen V.K. +2 more
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