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Weighted bivariate geometric distribution: Simulation and estimation
Communications in Statistics - Simulation and Computation, 2018In this paper, we develop a new discrete bivariate distribution, i.e., the weighted bivariate geometric distribution whose marginals are univariate weighted geometric distributions and show that th...
Hossein Najarzadegan +3 more
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Learning weighted geometric pooling for image classification
2013 IEEE International Conference on Image Processing, 2013Local feature extraction, coding, spatial pooling, and image classification are the four typical steps for state-of-the-art visual recognition systems. Unlike previous work that treats spatial pooling and image classification as separated steps, we propose to jointly learn the geometric pooling and image classifier such that class-specific geometric ...
Chaoqun Weng +2 more
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A Geometrical Interpretation of the Weighted Mean
The College Mathematics Journal, 1984(1984). A Geometrical Interpretation of the Weighted Mean. The Two-Year College Mathematics Journal: Vol. 15, No. 2, pp. 135-139.
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SHARP WEIGHTED BOUNDS FOR GEOMETRIC MAXIMAL OPERATORS
Glasgow Mathematical Journal, 2016AbstractLet $\mathcal{M}$ and G denote, respectively, the maximal operator and the geometric maximal operator associated with the dyadic lattice on $\mathbb{R}^d$. (i)We prove that for any 0 < p < ∞, any weight w on $\mathbb{R}^d$ and any measurable f on $\mathbb{R}^d$, we have Fefferman–Stein-type estimate $$\begin{equation*} ||G(f)||_{L^p(w ...
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A geometric approach to the weighted estimates of hilbert transforms
Functional Analysis and Its Applications, 1983In this short communication a geometrical approach has been applied to prove three fundamental inequalities for absolutely continuous measures in the set of trigonometric polynomials. The non-commutative case is considered when these inequalities cease to be equivalent. An operator analogue of the Koosis theorem is established.
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The Symmetry Groupoid and Weighted Signature of a Geometric Object
Journal of Lie Theory, 2016Summary: We refine the concept of the symmetry group of a geometric object through its symmetry groupoid, which incorporates both global and local symmetries in a common framework. The symmetry groupoid is related to the weighted differential invariant signature of a submanifold, that is introduced to capture its fine grain equivalence and symmetry ...
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A weighted geometric inequality and its applications
2008Let \(ABC\) be an arbitrary triangle of sides \(a,b,c\), and let \(P\) be an arbitrary point in the plane of \(\triangle ABC\); let \(R_1, R_2, R_3\) be the distances from \(P\) to the vertices \(A, B, C\). Let \(x, y, z\) be arbitrary positive real numbers.
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On the generalized Hamming weights of geometric Goppa codes
IEEE Transactions on Information Theory, 1994Summary: We study the generalized Hamming weights of geometric Goppa codes, giving a translation of these weights into arithmetical terms, concerning the arithmetic of the curve used to construct the code. We derive some results and bounds that we apply to some known codes.
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Geometric weighting subspace clustering on nonlinear manifolds
Multimedia Tools and Applications, 2022Shujun Liu, Huajun Wang 0001
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