Title
Optimizations for Categorizations of Explanatory Variables in Linear Regression via Generalized Fused Lasso
Abstract
In linear regression, a non-linear structure can be naturally considered by transforming quantitative explanatory variables to categorical variables. Moreover, smaller categories make estimation more flexible. However, a trade-off between flexibility of estimation and estimation accuracy occurs because the number of parameters increases for smaller categorizations. We propose an estimation method wherein parameters for categories with equal effects are equally estimated via generalized fused Lasso. By such a method, it can be expected that the degrees of freedom for the model decreases, flexibility of estimation and estimation accuracy are maintained, and categories of explanatory variables are optimized. We apply the proposed method to modeling of apartment rents in Tokyo's 23 wards.
Year
DOI
Venue
2021
10.1007/978-981-16-2765-1_38
INTELLIGENT DECISION TECHNOLOGIES, KES-IDT 2021
Keywords
DocType
Volume
Coordinate descent algorithm, Generalized fused lasso, Linear model, Real estate data analysis
Conference
238
ISSN
Citations 
PageRank 
2190-3018
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Mineaki Ohishi100.34
Kensuke Okamura200.34
Yoshimichi Itoh300.34
Hirokazu Yanagihara4218.66