IS
2011
13 years 6 months ago
2011
Metric access methods based on hyperplane partitioning have the advantage, compared to the ballpartitioning-based ones, that regions do not overlap. The price is less flexibility...
JCT
2007
13 years 11 months ago
2007
Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
EOR
2007
13 years 11 months ago
2007
In the constraint proposal method a mediator locates points at which the two decision makers have joint tangent hyperplanes. We give conditions under which these points are Pareto...
DCG
2008
13 years 11 months ago
2008
We investigate algorithmic questions that arise in the statistical problem of computing lines or hyperplanes of maximum regression depth among a set of n points. We work primarily...
EJC
2010
13 years 11 months ago
2010
In this paper, we investigate some properties of partial covers of PG(n, q). We show that a set of q + a hyperplanes, q 81, a < (q - 1)/3, or q > 13 and a (q - 10)/4, that...
ANOR
2010
13 years 11 months ago
2010
We consider the linear classification method consisting of separating two sets of points in d-space by a hyperplane. We wish to determine the hyperplane which minimises the sum of...
COMPGEOM
2000
ACM
14 years 3 months ago
2000
ACM
The regression depth of a hyperplane with respect to a set of n points in Rd is the minimum number of points the hyperplane must pass through in a rotation to vertical. We general...