Results 271 to 280 of about 6,761,743 (311)

Differentiation of Distributions

2010
If f is continuously differentiable on an open set X in R n, one obtains by means of integration by parts that for every test function \(\phi\) the following holds: \(({\rm{test}}\ \partial _j\ f)(\phi ) = - ({\rm {test}}\ f)(\partial _j\ \phi ).\)
J. J. Duistermaat, J. A. C. Kolk
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Differential Geometry of Distributions

Journal of Mathematical Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Differential Equations in Distributions

2021
This chapter presents both ordinary and partial differential equations in distributions. Linear differential equations with constant coefficients are discussed in the framework of the theory of distributions. Hyperbolic, parabolic and elliptic partial differential equations are solved by means of the Fourier transform. The Cauchy problem is discussed.
Adina Chirilă, Marin Marin, Andreas Öchsner   +2 more
openaire   +1 more source

Estimation Distribution Differential Evolution

2010
This paper proposes a novel adaptation scheme for Differential Evolution (DE) frameworks. The proposed algorithm, namely Estimation Distribution Differential Evolution (EDDE), is based on a DE structure and employs randomized scale factor ad crossover rate values.
Ernesto Mininno, Ferrante Neri
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Differentially private distributed sensing

2016 IEEE 3rd World Forum on Internet of Things (WF-IoT), 2016
The growth of the Internet of Things (IoT) creates the possibility of decentralized systems of sensing and actuation, potentially on a global scale. IoT devices connected to cloud networks can offer sensing and actuation as a service enabling networks of sensors to grow to a global scale.
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DIFFERENTIAL OPERATORS ON SCHWARTZ DISTRIBUTIONS

International Journal of Geometric Methods in Modern Physics, 2012
Differential operators on Schwartz distributions usually are defined as the transpose of differential operators on test functions. However, they do not exhaust all differential operators. In a general setting, Schwartz distributions on sections of compact support of a vector bundle Y over a smooth manifold X are considered.
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Linear distribution differential equations

Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1984
Let \(c\in {\mathbb{R}}\), let \({\mathcal P}^ 0\) be the set of Borel measures with support in \(x\leq c\). Let \({\mathcal B}^ 0\) be the set of all locally bounded Borel measurable functions with support in \(x\geq c\). Let \(\mu\in {\mathcal D}'({\mathbb{R}})\). Let \(j\geq 0\) be an integer. If for some \(\eta\in {\mathcal P}^ 0\) \(D^ j\mu =\eta\)
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Distributed Linear Bandits With Differential Privacy

IEEE Transactions on Network Science and Engineering
Accepted ...
Fengjiao Li, Xingyu Zhou 0001, Bo Ji 0001   +2 more
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Autonomy and Differentiation in Distributed Systems

2013
A bio-inspired approach for self-adaptive software agents on distributed systems is presented. It introduces the notion of (de)differentiation in cellular slime molds, e.g., dictyostelium discoideum, into real distributed systems. When an agent delegates a function to another agent coordinating with it, if the former has the function, this function ...
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Locally differentially-private distribution estimation

2016 IEEE International Symposium on Information Theory (ISIT), 2016
We consider a setup in which confidential i.i.d. samples X 1 , ..., X n from an unknown discrete distribution P X are passed through a discrete memoryless privatization channel (a.k.a. mechanism) which guarantees an ∊-level of local differential privacy.
Pastore, Adriano, Gastpar, Michael C.
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