Why LASSO, Ridge Regression, and EN

Explanation Based on Soft Computing

authored by
Woraphon Yamaka, Hamza Alkhatib, Ingo Neumann, Vladik Kreinovich
Abstract

In many practical situations, observations and measurement results are consistent with many different models–i.e., the corresponding problem is ill-posed. In such situations, a reasonable idea is to take into account that the values of the corresponding parameters should not be too large; this idea is known as regularization. Several different regularization techniques have been proposed; empirically the most successful are LASSO method, when we bound the sum of absolute values of the parameters, ridge regression method, when we bound the sum of the squares, and a EN method in which these two approaches are combined. In this paper, we explain the empirical success of these methods by showing that these methods can be naturally derived from soft computing ideas.

Organisation(s)
Geodetic Institute
External Organisation(s)
Chiang Mai University
University of Texas at El Paso
Type
Conference contribution
Pages
123-130
No. of pages
8
Publication date
27.07.2021
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Artificial Intelligence
Electronic version(s)
https://scholarworks.utep.edu/cs_techrep/1465/ (Access: Open)
https://doi.org/10.1007/978-3-030-77094-5_12 (Access: Closed)
 

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