Paper Info
Title
The curse of instability
Abstract
High-dimensional computational challenges are frequently explained via the curse of dimensionality, i.e., increasing the number of dimensions leads to exponentially growing computational complexity. In this commentary, we argue that thinking on a different level helps to understand, why we face the curse of dimensionality. We introduce as a guiding principle the curse of instability, which triggers the classical curse of dimensionality. Furthermore, we claim that the curse of instability is a strong indicator for analytical difficulties and multiscale complexity. Finally, we suggest some practical conclusions for the analysis of mathematical models and formulate several conjectures.
Year
DOI
Venue
2015
10.1002/cplx.21703
Complexity
Field
DocType
Volume
Mathematical economics,Curse,Instability,Mathematics
Journal
20
Issue
ISSN
Citations 
6
1076-2787
0
PageRank 
References 
Authors
0.34
10
1
Name
Order
Citations
PageRank
Christian Kuehn19012.21