Title
Interaction between financial risk measures and machine learning methods
Abstract
The purpose of this article is to review the similarity and difference between financial risk minimization and a class of machine learning methods known as support vector machines, which were independently developed. By recognizing their common features, we can understand them in a unified mathematical framework. On the other hand, by recognizing their difference, we can develop new methods. In particular, employing the coherent measures of risk, we develop a generalized criterion for two-class classification. It includes existing criteria, such as the margin maximization and \(\nu \)-SVM, as special cases. This extension can also be applied to the other type of machine learning methods such as multi-class classification, regression and outlier detection. Although the new criterion is first formulated as a nonconvex optimization, it results in a convex optimization by employing the nonnegative \(\ell _1\)-regularization. Numerical examples demonstrate how the developed methods work for bond rating.
Year
DOI
Venue
2014
10.1007/s10287-013-0175-5
Comput. Manag. Science
Keywords
Field
DocType
credit rating
Financial risk,Anomaly detection,Mathematical optimization,Regression,Support vector machine,Credit rating,Minification,Artificial intelligence,Bond credit rating,Convex optimization,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
11
4
1619-6988
Citations 
PageRank 
References 
4
0.44
18
Authors
3
Name
Order
Citations
PageRank
Jun-Ya Gotoh111710.17
Akiko Takeda219629.72
Rei Yamamoto3374.31