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» The Jump Classes of Minimal Covers
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CIE
2006
Springer
13 years 8 months ago
The Jump Classes of Minimal Covers
We work in D[< 0 ]. Given the jump class of any (Turing) degree a, the jump classes of the minimal covers of a is a matter which is entirely settled unless a is high2. We show t...
Andrew E. M. Lewis
ISAAC
2010
Springer
272views Algorithms» more  ISAAC 2010»
13 years 2 months ago
Neighbor Systems, Jump Systems, and Bisubmodular Polyhedra
The concept of neighbor system, introduced by Hartvigsen (2009), is a set of integral vectors satisfying a certain combinatorial property. In this paper, we reveal the relationship...
Akiyoshi Shioura
JMLR
2006
106views more  JMLR 2006»
13 years 4 months ago
Stability Properties of Empirical Risk Minimization over Donsker Classes
We study some stability properties of algorithms which minimize (or almost-minimize) empirical error over Donsker classes of functions. We show that, as the number n of samples gr...
Andrea Caponnetto, Alexander Rakhlin
TIT
1998
127views more  TIT 1998»
13 years 4 months ago
On a New Class of Codes for Identifying Vertices in Graphs
—We investigate a new class of codes for the optimal covering of vertices in an undirected graph Gsuch that any vertex in G can be uniquely identified by examining the vertices ...
Mark G. Karpovsky, Krishnendu Chakrabarty, Lev B. ...
DAM
1999
119views more  DAM 1999»
13 years 4 months ago
On the Algorithmic Complexity of Twelve Covering and Independence Parameters of Graphs
The definitions of four previously studied parameters related to total coverings and total matchings of graphs can be restricted, thereby obtaining eight parameters related to cov...
David Manlove