Results 21 to 30 of about 1,925,469 (317)
Convergence Rates for Learning Linear Operators from Noisy Data [PDF]
SIAM/ASA J. Uncertain. Quantification, 2021 This paper studies the learning of linear operators between infinite-dimensional Hilbert spaces. The training data comprises pairs of random input vectors in a Hilbert space and their noisy images under an unknown self-adjoint linear operator.
M. Hoop +3 more
semanticscholar +1 more source
On Stancu-Type Generalization of Modified p,q-Szász-Mirakjan-Kantorovich Operators
Journal of Function Spaces, 2021 In the present article, we construct p,q-Szász-Mirakjan-Kantorovich-Stancu operators with three parameters λ,α,β. First, the moments and central moments are estimated.
Yong-Mo Hu +3 more
doaj +1 more source
A generalization of $(q,t)$-Catalan and nabla operators [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We introduce non-commutative analogs of $k$-Schur functions and prove that their images by the non-commutative nabla operator $\blacktriangledown$ is ribbon Schur positive, up to a global sign.
N. Bergeron, F. Descouens, M. Zabrocki
doaj +1 more source
Data-Driven Learning for the Mori-Zwanzig Formalism: A Generalization of the Koopman Learning Framework [PDF]
SIAM Journal on Applied Dynamical Systems, 2021 A theoretical framework which unifies the conventional Mori-Zwanzig formalism and the approximate Koopman learning is presented. In this framework, the Mori-Zwanzig formalism, developed in statistical mechanics to tackle the hard problem of construction ...
Y. Lin +3 more
semanticscholar +1 more source
Spontaneous Parity Violation in QCD At Finite Temperature: On the Inapplicability of the Vafa-Witten Theorem [PDF]
, 2001 The generalization of the Vafa-Witten theorem ruling out parity violation to QCD at finite temperature is considered. It is shown that this generalization of the theorem rules out Lorentz-invariant parity violating operators from spontaneously acquiring ...
C. Vafa +12 more
core +2 more sources
On the algebra of symmetries of Laplace and Dirac operators [PDF]
, 2018 We consider a generalization of the classical Laplace operator, which includes the Laplace-Dunkl operator defined in terms of the differential-difference operators associated with finite reflection groups called Dunkl operators.
De Bie, Hendrik +2 more
core +2 more sources
Generalized #-unknotting operations
Journal of the Mathematical Society of Japan, 1997 In this note certain crossing change operations on knot diagrams are considered. Take the usual crossing change operation but replace each of the two strands by a number of parallel strands. If the two collections each number, algebraically, a multiple of \(p\), it is called an \(\#_p\)-move. For \(p=1, 2\), this has been considered earlier.
MIYAZAKI, Katura, YASUHARA, Akira
openaire +2 more sources
Hypercyclic Generalized Shift Operators
Complex Analysis and Operator Theory, 2023 In this paper, we study the linear dynamical properties of shift operators on some classes of Segal algebras. Moreover, we characterize hypercyclic generalized bilateral shift operators on the standard Hilbert module.
Ivković, Stefan +1 more
openaire +3 more sources
Heat Kernel Expansion for Operators of the Type of the Square Root of the Laplace Operator [PDF]
, 1996 A method is suggested for the calculation of the DeWitt-Seeley-Gilkey (DWSG) coefficients for the operator $\sqrt{-\nabla^2 + V(x)}$ basing on a generalization of the pseudodifferential operator technique.
Gorbar, E. V.
core +2 more sources
Generalized Euclidean operator radius
Georgian Mathematical Journal, 2023 Abstract In this paper, we introduce the f-operator radius of Hilbert space operators as a generalization of the Euclidean operator radius and the q-operator radius. The properties of the newly defined radius are discussed, emphasizing how it extends some known results in the literature.
Alomari, Mohammad W. +3 more
openaire +3 more sources