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COUNTING FACES OF RANDOMLY-PROJECTED POLYTOPES WHEN THE PROJECTION RADICALLY LOWERS DIMENSION
RANDOMLY-PROJECTED RADICALLY LOWERS DIMENSION
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2015/8/21
The modern trend in statistics and probability is to consider the case where both
the number of dimensions d and the sample size n are large [19, 21]. In that case, the
intuition fostered by the cla...
The Connection between the Metric and Generalized Projection Operators in Banach Spaces
Banach spaces normalized duality mappings metric and generalized projection operators variational inequalities minimization problems closed and convex subsets and cones
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2007/12/12
In this paper we study the connection between the metric projection operator $P_{K}: B \rightarrow K$, where $B$ is a reflexive Banach space with dual space $B^*$ and $K$ is a non-empty closed convex ...
Petty Projection Inequality for $L_p$-Mixed Projection Body
petty projection inequality $L_p$-projection body $L_p$-mixed projection body $L_p$-centroid body $L_p$-mixed quermassintegrals
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2007/12/12
Recently, Lutwak, Yang and Zhang posed the notion of $L_p$-projection body and established the $L_p$-analog of the Petty projection inequality. In this paper, the notion of $L_p$-mixed projection body...