Results 11 to 20 of about 1,739,474 (329)
Ghost-free theories with arbitrary higher-order time derivatives [PDF]
Journal of High Energy Physics, 2018 We construct no-ghost theories of analytic mechanics involving arbitrary higher-order derivatives in Lagrangian. It has been known that for theories involving at most second-order time derivatives in the Lagrangian, eliminating linear dependence of ...
Hayato Motohashi +2 more
doaj +3 more sources
Stability of optimal filter higher-order derivatives [PDF]
Stochastic Processes and their Applications, 2019 In many scenarios, a state-space model depends on a parameter which needs to be inferred from data. Using stochastic gradient search and the optimal filter (first-order) derivative, the parameter can be estimated online. To analyze the asymptotic behavior of online methods for parameter estimation in non-linear state-space models, it is necessary to ...
Tadic, VZB, Doucet, A
openaire +8 more sources
Variational Problems with Time Delay and Higher-Order Distributed-Order Fractional Derivatives with Arbitrary Kernels [PDF]
Mathematics, 2021 In this work, we study variational problems with time delay and higher-order distributed-order fractional derivatives dealing with a new fractional operator.
Fátima Cruz +2 more
doaj +2 more sources
Higher order derivatives of matrix functions
CoRR, 2023 We present theory for general partial derivatives of matrix functions on the form $f(A(x))$ where $A(x)$ is a matrix path of several variables ($x=(x_1,\dots,x_j)$). Building on results by Mathias [SIAM J. Matrix Anal. Appl., 17 (1996), pp. 610-620] for the first order derivative, we develop a block upper triangular form for higher order partial ...
Rubensson, Emanuel H.
openaire +3 more sources
On Ostrowski-Type Inequalities for Higher-Order Partial Derivatives [PDF]
Journal of Inequalities and Applications, 2010 We establish some new Ostrowski-type integral inequalities involving higher-order partial derivatives. As applications, we get some interrelated results. Our results provide new estimates on inequalities of this type.
Zhao Changjian, Wing-Sum Cheung
doaj +4 more sources
A Comparison Lemma for Higher Order Trajectory Derivatives [PDF]
Proceedings of the American Mathematical Society, 1971 A basic result from higher order differential inequalities is used to obtain a comparison lemma, useful when higher order trajectory derivatives of Liapunov functions are known.
R. W. Gunderson
openaire +3 more sources
HIGHER ORDER SCHWARZIAN DERIVATIVES FOR CONVEX UNIVALENT FUNCTIOS
Проблемы анализа, 2008 We observe that in contrast to the class S, the extremal functions for the bound of higher order Schwarzian derivatives for the class S c of convex univalent functions are different. We prove the sharp bound for three first consecutive derivatives.
DORFF M., SZYNAL J.
doaj +1 more source
Invertible disformal transformations with arbitrary higher-order derivatives [PDF]
Physical Review D, 2023 Invertible disformal transformations serve as a useful tool to explore ghost-free scalar-tensor theories. In this paper, we construct a generalization of invertible disformal transformations that involves arbitrary higher-order covariant derivatives of ...
Kazufumi Takahashi
semanticscholar +1 more source
Estimating the gradient and higher-order derivatives on quantum hardware [PDF]
Physical Review A, 2020 The authors show how to evaluate, with near-term quantum computers, high-order derivatives of expectation values with respect to the variational parameters of quantum circuits. The authors also study how such derivatives are affected by statistical noise.
A. Mari, T. Bromley, N. Killoran
semanticscholar +1 more source
Higher order derivatives of quantum neural networks with barren plateaus [PDF]
Quantum Science and Technology, 2020 Quantum neural networks (QNNs) offer a powerful paradigm for programming near-term quantum computers and have the potential to speed up applications ranging from data science to chemistry to materials science.
M. Cerezo, Patrick J. Coles
semanticscholar +1 more source