Results 61 to 70 of about 498,404 (212)
A Quantised Push‐Sum Distributed Adaptive Momentum Algorithm for Optimisation Over Directed Networks
ABSTRACT In this paper, we investigate a distributed constrained optimisation problem over directed networks. The agents in the networks conduct local computations and communications, endeavouring to collaboratively minimise the aggregation of all locally known convex cost functions subject to a global constraint set.
Qingguo Lü +6 more
wiley +1 more source
Rank-one perturbation of Toeplitz operators and reflexivity [PDF]
It was shown that rank-one perturbation of the space of Toeplitz operators preserves \(2\)-hyperreflexivity.
Kamila Kliś-Garlicka
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The Mathematical History Behind the Granger–Johansen Representation Theorem
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
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Properties of two variables Toeplitz type operators
The investigation of properties of generalized Toeplitz operators with respect to the pairs of doubly commuting contractions (the abstract analogue of classical two variable Toeplitz operators) is proceeded. We especially concentrate on the condition of
Elżbieta Król-Klimkowska, Marek Ptak
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Cointegration in a MIDAS Regression
ABSTRACT Mixed data sampling (MIDAS) cointegration models are used to analyse variables observed at different frequencies. In this paper, we start from an assumed autoregressive distributed lag (ADL) model for high‐frequency observations, and derive the resulting representation when the dependent variable is only observed at a lower frequency.
H. Peter Boswijk, Philip Hans Franses
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Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols
A major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it.
Aissa Bouhali +2 more
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Commutative C⁎-Algebras of Toeplitz Operators via the Moment Map on the Polydisk
We found that in the polydisk Dn there exist (n+1)(n+2)/2 different classes of commutative C⁎-algebras generated by Toeplitz operators whose symbols are invariant under the action of maximal Abelian subgroups of biholomorphisms.
Mauricio Hernández-Marroquin +2 more
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On Calder�n-Toeplitz operators
Let \(\psi\in L^ 2(\mathbb{R}^ d)\) be an admissible wavelet, \(\psi_ \xi(x)= t^{-d/2} \psi\Bigl({x-v\over t}\Bigr)\), \(\xi= (v,t)\), \(G\) the ``\(ax+ b\)''-group, i.e. \(G=\{\xi= (v,t): v\in \mathbb{R}^ d, t>0\}\), \(d\xi= t^{d-1}dv dt\) the left invariant measure on \(G\).
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Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
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Group Differences of Multiregion Glutamate Concentration in Clinical High Risk and Schizophrenia
We investigated group effects of glutamate concentrations in 99 participants in four brain regions using proton magnetic resonance spectroscopy in clinical high risk, schizophrenia spectrum psychotic disorder individuals and healthy controls. Results showed no significant group differences, exploratory analyses showed significant positive symptom ...
Shue Kit Man +7 more
wiley +1 more source

