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Weighted mean of a pair of clusterings
Pattern Analysis and Applications, 2012In this paper, we introduce the weighted mean of a pair of clusterings. Given two clusterings C 1 and C 2, the weighted mean of C 1 and C 2 is a clustering C w that has distances d(C 1, C w ) and d(C w , C 2) to C 1 and C 2, respectively, such that d(C 1, C w ) + d(C w , C 2) = d(C 1, C 2) holds for some clustering distance function d.
Lucas Franek +2 more
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Bonferroni Mean With Weighted Interaction
IEEE Transactions on Fuzzy Systems, 2018Bonferroni mean aggregates the interaction between all pairs of inputs from some $n$ -dimensional input vector. Therefore, it is able to capture the dependency structure between the inputs. Weighted version of the Bonferroni mean then assumes that each input has a possibly different weight.
Andrea Mesiarová-Zemánková +2 more
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Weighted Means and Characterization of Balls
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spherical Means and Weighted Inequalities
Journal of the London Mathematical Society, 1996This paper studies weighted inequalities, that is, norm inequalities in the \(L^p\)-space defined by the measure \(w(x)dx\), for maximal operators defined through spherical means. The unweighted inequalities are due to \textit{E. M. Stein} [Proc. Nat. Acad. Sci. USA 73, 2174-2175 (1976; Zbl 0332.42018)] for \(n\geq 3\) and \textit{J. Bourgain} [J. Anal.
Duoandikoetxea, Javier, Vega, Luis
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The Spectrum of Weighted Mean Operators
Canadian Mathematical Bulletin, 1987AbstractRecently J. B. Reade determined the spectrum of C, the Cesaro matrix of order 1, considered as an operator on c0, the space of null sequences. Previously F. P. A. Cass and the author had determined the spectra for a large class of weighted mean operators on c, the space of convergent sequences.
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Weighted Iterative Truncated Mean Filter
IEEE Transactions on Signal Processing, 2013The iterative truncated arithmetic mean (ITM) filter was proposed recently. It offers a way to estimate the sample median by simple arithmetic computing instead of the time consuming data sorting. In this paper, a rich class of filters named weighted ITM (WITM) filters are proposed.
Zhenwei Miao, Xudong Jiang 0001
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WEIGHTED MEANS BASED ON TRIANGULAR CONORMS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2001Generalizing the construction of weighted quasi–arithmetic means from generated t–conorms, we propose a new class of weighted means related to continuous t–conorms. By duality, t–norm based weighted means can be obtained, too. Our method fits also in the case of finite ordinal scales. Several examples are given.
Tomasa Calvo, Radko Mesiar
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Generalized Weighted Mean Programming
SIAM Journal on Applied Mathematics, 1971Two algorithms for nonlinear programming are given. The idea behind these algorithms is the arithmetic-geometric mean inequality. Two examples are shown together with the necessary proofs of convergence.
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2006
Some Jensen's type inequalities strongly connected with weighted L-conjugate means of n≥ 2 variables are given. Comparison and equality problems for weighted L-conjugate means are solved.
Klaričić Bakula, M. +2 more
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Some Jensen's type inequalities strongly connected with weighted L-conjugate means of n≥ 2 variables are given. Comparison and equality problems for weighted L-conjugate means are solved.
Klaričić Bakula, M. +2 more
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Terrestrial Magnetism and Atmospheric Electricity, 1927
It is often desirable to express, according to some suitable criterion, the order of agreement of separate results obtained in repeated measures of a constant quantity, or the amount of dispersion or scattering of values of some periodically recurrent natural phenomenon.
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It is often desirable to express, according to some suitable criterion, the order of agreement of separate results obtained in repeated measures of a constant quantity, or the amount of dispersion or scattering of values of some periodically recurrent natural phenomenon.
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