Generating optimal robust continuous piecewise linear regression with outliers through combinatorial Benders decomposition

JA Warwicker, S Rebennack - IISE Transactions, 2023 - Taylor & Francis
Using piecewise linear (PWL) functions to model discrete data has applications for example
in healthcare, engineering and pattern recognition. Recently, mixed-integer linear …

[HTML][HTML] A unified framework for bivariate clustering and regression problems via mixed-integer linear programming

JA Warwicker, S Rebennack - Discrete Applied Mathematics, 2023 - Elsevier
Clustering and regression are two of the most important problems in data analysis and
machine learning. Recently, mixed-integer linear programs (MILPs) have been presented in …

[HTML][HTML] Support vector machines within a bivariate mixed-integer linear programming framework

JA Warwicker, S Rebennack - Expert Systems with Applications, 2024 - Elsevier
Support vector machines (SVMs) are a powerful machine learning paradigm, performing
supervised learning for classification and regression analysis. A number of SVM models in …

[HTML][HTML] Mathematical programming for simultaneous feature selection and outlier detection under l1 norm

M Barbato, A Ceselli - European Journal of Operational Research, 2024 - Elsevier
The goal of simultaneous feature selection and outlier detection is to determine a sparse
linear regression vector by fitting a dataset possibly affected by the presence of outliers. The …

[引用][C] Generating Optimal Continuous Piecewise Linear Regression with Outliers through Combinatorial Benders Decomposition

JA Warwicker, S Rebennack