Classification and Regression via Integer Optimization. CRIO separates data points in different polyhedral regions. In classification each region is assigned a class, while in regression each region has its own distinct regression coefficients. Computational experimentation with real data sets shows that CRIO is comparable to and often outperforms the current leading methods in classification and regression. The second part describes our cardinality-constrained quadratic mixed-integer optimization algorithm, used to solve subset selection in regression and portfolio selection in asset allocation.
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References in zbMATH (referenced in 8 articles )
Showing results 1 to 8 of 8.
- Amaldi, E.; Coniglio, S.; Taccari, L.: Discrete optimization methods to fit piecewise affine models to data points (2016)
- Sun, Lei; Nikolaev, Alexander G.: Mutual information based matching for causal inference with observational data (2016)
- Brandner, Hubertus; Lessmann, Stefan; Voß, Stefan: A memetic approach to construct transductive discrete support vector machines (2013)
- Toriello, Alejandro; Vielma, Juan Pablo: Fitting piecewise linear continuous functions (2012)
- Brooks, J.Paul: Support vector machines with the ramp loss and the hard margin loss (2011)
- Sun, Minghe: A mixed integer programming model for multiple-class discriminant analysis (2011)
- Nguyen, T.D.; Welsch, R.: Outlier detection and least trimmed squares approximation using semi-definite programming (2010)
- Bertsimas, Dimitris; Shioda, Romy: Classification and regression via integer optimization (2007)