Minimal multi-convex projections
نویسندگان
چکیده
منابع مشابه
Compact Convex Projections
We study the usefulness of conditional gradient like methods for determining projections onto convex sets, in particular, projections onto naturally arising convex sets in reproducing kernel Hilbert spaces. Our work is motivated by the recently introduced kernel herding algorithm which is closely related to the Conditional Gradient Method (CGM). It is known that the herding algorithm converges ...
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Nonempty sets X1 and X2 in the Euclidean space R n are called homothetic provided X1 = z+λX2 for a suitable point z ∈ R n and a scalar λ 6= 0, not necessarily positive. Extending results of Süss and Hadwiger (proved by them for the case of convex bodies and positive λ), we show that compact (respectively, closed) convex sets K1 and K2 in R n are homothetic provided for any given integer m, 2 ≤ ...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2007
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm178-2-1