@inproceedings{wu2015clustering, author = {Wu, Cathy and Kamar, Ece and Horvitz, Eric}, title = {Clustering for Set Partitioning: A Case Study in Carpooling}, booktitle = {In Proceedings of the Workshop on Optimization for Machine Learning (OPT) at NIPS 2015.}, year = {2015}, month = {May}, abstract = {By exploring alternative approaches to combinatorial optimization, we propose the first known formal connection between clustering and set partitioning, with the goal of identifying a subclass of set partitioning problems that can be solved efficiently and with optimality guarantees through a clustering approach. We prove the equivalence between classical centroid clustering problems and a special case of set partitioning called metric k-set partitioning, we discuss k-means and regularized geometric k-medians, and we give several future extensions and applications. Finally, we discuss a case study in combinatorial optimization for carpooling.}, url = {http://approjects.co.za/?big=en-us/research/publication/clustering-set-partitioning-case-study-carpooling/}, edition = {In Proceedings of the Workshop on Optimization for Machine Learning (OPT) at NIPS 2015.}, }