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IPCO
2004
100views Optimization» more  IPCO 2004»
15 years 5 months ago
Valid Inequalities Based on Simple Mixed-Integer Sets
In this paper we use facets of simple mixed-integer sets with three variables to derive a parametric family of valid inequalities for general mixed-integer sets. We call these ine...
Sanjeeb Dash, Oktay Günlük
ICML
2010
IEEE
15 years 5 months ago
Interactive Submodular Set Cover
We introduce a natural generalization of submodular set cover and exact active learning with a finite hypothesis class (query learning). We call this new problem interactive submo...
Andrew Guillory, Jeff Bilmes
CORR
2010
Springer
113views Education» more  CORR 2010»
15 years 4 months ago
Opaque sets
The problem of finding "small" sets that meet every straight-line which intersects a given convex region was initiated by Mazurkiewicz in 1916. We call such a set an opa...
Adrian Dumitrescu, János Pach
DAM
2007
84views more  DAM 2007»
15 years 4 months ago
Estimates of covering numbers of convex sets with slowly decaying orthogonal subsets
Covering numbers of precompact symmetric convex subsets of Hilbert spaces are investigated. Lower bounds are derived for sets containing orthogonal subsets with norms of their ele...
Vera Kurková, Marcello Sanguineti
ENDM
2007
93views more  ENDM 2007»
15 years 4 months ago
Measurable sets with excluded distances
For a set of distances D = {d1, . . . , dk} a set A is called D-avoiding if no pair of points of A is at distance di for some i. We show that the density of A is exponentially sma...
Boris Bukh