923 search results - page 1 / 185 » On the Topology of Discrete Strategies |
IJRR
2010
13 years 5 months ago
2010
This paper explores a topological perspective of planning in the presence of uncertainty, focusing on tasks specified by goal states in discrete spaces. The paper introduces stra...
Publication
I. Introduction
II. Foundations
A. The Mathematical Structure of Physical Field Theories
B. Geometric Objects and Orientation
1. Space-Time Object...
Publication
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
AUTOMATICA
2008
13 years 7 months ago
2008
In this paper we study averaging algorithms and coverage control laws in a unified light. First, we characterize the convergence properties of averaging algorithms over acyclic di...
COMPGEOM
2007
ACM
13 years 11 months ago
2007
ACM
Persistent homology captures the topology of a filtration