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CORR
2008
Springer
92views Education» more  CORR 2008»
15 years 7 months ago
Discrete Jordan Curve Theorem: A proof formalized in Coq with hypermaps
This paper presents a formalized proof of a discrete form of the Jordan Curve Theorem. It is based on a hypermap model of planar subdivisions, formal specifications and proofs assi...
Jean-François Dufourd
SIAMSC
2010
142views more  SIAMSC 2010»
15 years 1 months ago
Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Problems
Abstract. We develop in this paper some efficient algorithms which are essential to implementations of spectral methods on the sparse grid by Smolyak's construction based on a...
Jie Shen, Haijun Yu
AGI
2011
14 years 10 months ago
An Information Theoretic Representation of Agent Dynamics as Set Intersections
We represent agents as sets of strings. Each string encodes a potential interaction with another agent or environment. We represent the total set of dynamics between two agents as ...
Samuel Epstein, Margrit Betke
CVPR
2005
IEEE
16 years 8 months ago
Online Learning of Probabilistic Appearance Manifolds for Video-Based Recognition and Tracking
This paper presents an online learning algorithm to construct from video sequences an image-based representation that is useful for recognition and tracking. For a class of object...
Kuang-Chih Lee, David J. Kriegman
KI
2007
Springer
16 years 29 days ago
Negation in Spatial Reasoning
How do we reason about spatial descriptions? In recent years a lot of research has been investigated in order to determine factors of complexity in spatial relational reasoning. S...
Stefan Schleipen, Marco Ragni, Thomas Fangmeier