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An ellipsoidal approximation to the Hadamard product of ellipsoids
Computational efficiency ellipsoid signal
2015/8/11
This paper introduces a computationally efficient outer approximation to the Hadamard, i.e., element-wise, product of two ellipsoids. This element-wise product corresponds to multiplicative uncertaint...
Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields
Gaussian random determinant Wishart matrix Gaussian random parallelotope mixed volumes of ellipsoids location-dispersion ellipsoid
2012/6/2
Consider a $d\times d$ matrix $M$ whose rows are independent centered non-degenerate Gaussian vectors $\xi_1,...,\xi_d$ with covariance matrices $\Sigma_1,...,\Sigma_d$. Denote by $\mathcal{E}_i$ the ...
Packing ellipsoids with overlap
ellipsoid packing, trust-region algorithm, semide nite programming, chromosome territories
2012/4/1
The problem of packing ellipsoids of different sizes and shapes into an ellipsoidal container so as to minimize a measure of overlap between ellipsoids is considered. A bilevel optimization formulatio...
On affine maps on non-compact convex sets and some characterizations of finite-dimensional solid ellipsoids
affine maps non-compact convex sets characterizations of finite-dimensional solid ellipsoids
2010/12/31
In recent studies, properties of the set of affine maps between two convex sets have been
investigated with intensive motivation from quantum physics, but in those preceding works
the underlying con...
On concentration and inertia ellipsoids
concentration ellipsoid correlation ellipsoid ellipsoid of residuals
2008/12/31
We review the known intricate connections between the concentration ellipsoid of statistics [1, 2] and the inertia ellipsoid of mechanics [3, 4]. We then contribute a new relationship involving the ec...