Circulant Matrices And Time-Series Analysis
نویسندگان
چکیده
منابع مشابه
Circulant Matrices and Time-series Analysis
where τ is an arbitrary integer. Such a process is the finite equivalent of a stationary stochastic process. An ordinary stationary process is, by definition, distributed over the set of all positive and negative integers, which corresponds to a set of equally spaced points on the time axis. It is statistically invariant with respect to translations along this axis. A circular process, in compa...
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We employ theoretical and computational techniques to construct new weighing matrices constructed from two circulants. In particular, we construct W (148, 144), W (152, 144), W (156, 144) which are listed as open in the second edition of the Handbook of Combinatorial Designs. We also fill a missing entry in Strassler’s table with answer ”YES”, by constructing a circulant weighing matrix of orde...
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This paper resolves an open problem raised by Blocki et al. (FOCS 2012), i.e., whether other variants of the Johnson-Lindenstrauss transform preserves differential privacy or not? We prove that a general class of random projection matrices that satisfies the Johnson-Lindenstrauss lemma also preserves differential privacy. This class of random projection matrices requires only n Gaussian samples...
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A k x k matrix A = [aU lover a field F is called circulant if aij = a (j-i) mod k' A [2k ,k l linear code over F = GF (q) is called double-circulant if it is generated by a matrix of the fonn [I A l, where A is a circulant matrix. In this work we ftrst employ the Fourier transform techJ nique to analyze and construct se:veral families of double-circulant codes. The minimum distance of the resul...
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Note. The determinant of a circulant matrix is an example of a group determinant, where the group is the cyclic group of order n. In 1880 Dedekind suggested generalizing the case of circulants (and more generally group de terminants for abelian groups) to arbitrary groups. It was this suggestion that led Frobenius to the creation group of representation theory. See [1] and the references therein.
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2000
ISSN: 1556-5068
DOI: 10.2139/ssrn.249427