Given a collection of n functions defined on R d , and a polyhedral set Q β R d , we consider the problem of minimizing the sum of the k largest functions of the collection over Q. Specifically we focus on collections of linear functions and several classes of convex, piecewise linear functions whic
β¦ LIBER β¦
Linear separation and approximation by minimizing the sum of concave functions of distances
β Scribed by Plastria, Frank; Carrizosa, Emilio
- Book ID
- 125353643
- Publisher
- Springer
- Year
- 2013
- Tongue
- English
- Weight
- 168 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1619-4500
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It is well known that the sum of negative (positive) eigenvalues of some finite Hermitian matrix V is concave (convex) with respect to V. Using the theory of the spectral shift function we generalize this property to self-adjoint operators on a separable Hilbert space with an arbitrary spectrum. Mor