Bilevel Training Schemes in Imaging for Total Variation--Type Functionals with Convex Integrands
SIAM Journal on Imaging Sciences, 2022 27 pages, 6 ...
Valerio Pagliari +3 more
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Regularity for nonlinear elliptic equations and systems
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We study the regularity of weak solutions to the elliptic system in divergence form divA(x, Du)=0 in an open set Ω of R^n, n≥2. The vector field A(x.ξ), A: Ω×R^(m×n)→R^(m×n), has a variational nature in the sense that A(x,ξ)= Dξ f(x,ξ), where f:Ω×R^(m×n)→
Paolo Marcellini
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Legendre-type integrands and convex integral functions
, 2012 31 ...
Borwein, Jonathan M., Yao, Liangjin
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Quadrature error functional expansions for the simplex when the integrand function has singularities at vertices [PDF]
Mathematics of Computation, 1980 In a previous paper by Lyness, an asymptotic expansion for the quadrature error functional for the n-dimensional simplex, valid when the integrand is an analytic function, was given. In this paper we develop the analogue of this result to cover the cases in which the integrand function has singularities of a specified nature at one or more vertices of ...
Lyness, J. N., Monegato, G.
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Error bounds for Gaussian quadrature formulae with Legendre weight function for analytic integrands
ETNA - Electronic Transactions on Numerical Analysis, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jandrlić, Davorka +4 more
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Integrals with two-variable generating function in the integrand
Montes Taurus journal of pure and applied mathematics, 2021 The main motive of this study is to present a new class of generalized integral formulae which involve a generating function of two variables G(u, x). By this approach we deduce a set of new outcomes, which are integrals associated with generalized hypergeometric function, Laguerre, Hermite and Bessel polynomials, Kampe de Feriet hypergeometric series ...
Ali, Musharraf +2 more
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On the best possible description of an exceptional set in asymptotic estimates for Laplace–Stieltjes integrals [PDF]
Математичні Студії, 2011 For the Laplace–Stieltjes integrals new description of the exceptional set in asymptotic upper estimates in terms of the maximum of the integrand function is obtained.
O. B. Skaskiv, D. Yu. Zikrach
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A relaxation result in BV for integral functionals with discontinuous integrands [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2007 Summary: We prove a relaxation theorem in BV for a non coercive functional with linear growth. No continuity of the integrand with respect to the spatial variable is assumed.
AMAR, Micol +2 more
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A goodness‐of‐fit test for regression models with discrete outcomes
Canadian Journal of Statistics, EarlyView.Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang +2 more
wiley +1 more source
Donaldson-Witten theory and indefinite theta functions
Journal of High Energy Physics, 2017 We consider partition functions with insertions of surface operators of topologically twisted N=2 $$ \mathcal{N}=2 $$, SU(2) supersymmetric Yang-Mills theory, or Donaldson-Witten theory for short, on a four-manifold.
Georgios Korpas, Jan Manschot
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