Title
Functional Approximation in Multiscale Complex Systems.
Abstract
One common approach for exploring, approximating and estimating complex system dynamics refers to models based on elementary or atomic building block components of easier interpretation and efficient computation. We adopt a combination of wavelets, greedy approximation and subspace techniques to investigate complex systems such as speculative financial markets. These systems are endowed with multiscale and non-stationary dynamics that we aim to artificially learn by using functional approximation and optimization theory. We show that volatility dynamics are embedded in a sequence of nested informative scales and thus a multiscale estimation approach is indicated to deal with them.
Year
DOI
Venue
2003
10.1142/S0219525903000840
ADVANCES IN COMPLEX SYSTEMS
Keywords
Field
DocType
atomic dictionaries,wavelets,subspace decomposition,greedy approximation
Complex system,Greedy approximation,Subspace topology,Subspace decomposition,Artificial intelligence,Functional approximation,Machine learning,Mathematics,Wavelet,Computation
Journal
Volume
Issue
ISSN
6
2
0219-5259
Citations 
PageRank 
References 
0
0.34
3
Authors
1
Name
Order
Citations
PageRank
Enrico Capobianco1227.39