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» Discretization: An Enabling Technique
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ECML
2006
Springer
15 years 10 months ago
Deconvolutive Clustering of Markov States
In this paper we formulate the problem of grouping the states of a discrete Markov chain of arbitrary order simultaneously with deconvolving its transition probabilities. As the na...
Ata Kabán, Xin Wang
CORR
2007
Springer
79views Education» more  CORR 2007»
15 years 6 months ago
Type-II/III DCT/DST algorithms with reduced number of arithmetic operations
We present algorithms for the discrete cosine transform (DCT) and discrete sine transform (DST), of types II and III, that achieve a lower count of real multiplications and additi...
Xuancheng Shao, Steven G. Johnson
ICRA
2010
IEEE
132views Robotics» more  ICRA 2010»
15 years 4 months ago
Sampling-based motion planning with temporal goals
Abstract— This paper presents a geometry-based, multilayered synergistic approach to solve motion planning problems for mobile robots involving temporal goals. The temporal goals...
Amit Bhatia, Lydia E. Kavraki, Moshe Y. Vardi
CDC
2010
IEEE
151views Control Systems» more  CDC 2010»
15 years 1 months ago
Convergence of discrete-time approximations of constrained linear-quadratic optimal control problems
Abstract-- Continuous-time linear constrained optimal control problems are in practice often solved using discretization techniques, e.g. in model predictive control (MPC). This re...
Lanshan Han, M. Kanat Camlibel, Jong-Shi Pang, W. ...

Publication
289views
14 years 4 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
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...
Claudio Mattiussi