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COMBINATORICS
2004
76views more  COMBINATORICS 2004»
13 years 8 months ago
Geometrically Constructed Bases for Homology of Partition Lattices
Abstract. We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "sp...
Anders Björner, Michelle L. Wachs
SOFSEM
1998
Springer
14 years 1 months ago
Some Results on the Modelling of Spatial Data
Abstract. Formal methods based on the mathematical theory of partially ordered sets (i.e., posets) have been used in the database field for the modelling of spatial data since many...
Luca Forlizzi, Enrico Nardelli
ICML
2005
IEEE
14 years 9 months ago
Comparing clusterings: an axiomatic view
This paper views clusterings as elements of a lattice. Distances between clusterings are analyzed in their relationship to the lattice. From this vantage point, we first give an a...
Marina Meila
COMBINATORICS
2006
108views more  COMBINATORICS 2006»
13 years 8 months ago
Grothendieck Bialgebras, Partition Lattices, and Symmetric Functions in Noncommutative Variables
We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual of the bialgebra of symmetric functions in noncommutative ...
Nantel Bergeron, Christophe Hohlweg, Mercedes Rosa...
CLA
2007
13 years 10 months ago
Policies Generalization in Reinforcement Learning using Galois Partitions Lattices
The generalization of policies in reinforcement learning is a main issue, both from the theoretical model point of view and for their applicability. However, generalizing from a se...
Marc Ricordeau, Michel Liquiere