Results 21 to 30 of about 728 (254)
The Sobolev Regularity of Refinable Functions
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Ron, A., Shen, Z.
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Generalized interpolating refinable function vectors
Interpolating scalar refinable functions with compact support are of interest in several applications such as sampling theory, signal processing, computer graphics, and numerical algorithms.
Kwon, Soon-Geol +2 more
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Refinements of the Lower Bounds of the Jensen Functional [PDF]
The lower bounds of the functional defined as the difference of the right‐hand and the left‐hand side of the Jensen inequality are studied. Refinements of some previously known results are given by applying results from the theory of majorization. Furthermore, some interesting special cases are considered.
Iva Franjić +2 more
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Orthogonal polynomials for refinable linear functionals [PDF]
A refinable linear functional is one that can be expressed as a convex combination and defined by a finite number of mask coefficients of certain stretched and shifted replicas of itself. The notion generalizes an integral weighted by a refinable function.
Dirk Laurie, Johan de Villiers 0001
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Refinable Functions with PV Dilations [PDF]
A PV number is an algebraic integer $α$ of degree $d \geq 2$ all of whose Galois conjugates other than itself have modulus less than $1$. Erdös \cite{erdos} proved that the Fourier transform $\widehat φ,$ of a nonzero compactly supported scalar valued function satisfying the refinement equation $φ(x) = \frac{|α|}{2}φ(αx) + \frac{|α|}{2}φ(αx-1)$ with ...
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ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
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Neural Network Approximation of Refinable Functions
In the desire to quantify the success of neural networks in deep learning and other applications, there is a great interest in understanding which functions are efficiently approximated by the outputs of neural networks. By now, there exists a variety of results which show that a wide range of functions can be approximated with sometimes surprising ...
Ingrid Daubechies +8 more
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ABSTRACT Background Central nervous system (CNS) involvement in childhood acute lymphoblastic leukemia (ALL) is assessed by cell counting and cytomorphology from cerebrospinal fluid (CSF) and is used for treatment stratification worldwide. The ratio of “CNS2” patients in clinical trials ranges from 3% to 40%, with unclear prognostic significance ...
Laura Almási +14 more
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A Bibliometric Analysis of Publications in Uremic Toxins From 1991 to 2024
ABSTRACT Background Uremic toxins are a growing area of research in nephrology, with significant implications in the progression and treatment of chronic kidney disease (CKD) and the management of end‐stage kidney disease (ESKD). This bibliometric analysis aims to evaluate the global research trends, key contributors, and the impact of publications in ...
Yuh‐Shan Ho +7 more
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Uniformly refinable maps [PDF]
[EN] We introduce the notion of uniformly refinable map for compact, Hausdorff spaces, as a generalization of refinable maps originallydefined for metric continua by Jo Ford (Heath) and Jack W. Rogers, Jr., Refinable maps, Colloq.
Macías, Sergio
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