eprintid: 3131 rev_number: 7 eprint_status: archive userid: 69 dir: disk0/00/00/31/31 datestamp: 2016-02-26 14:43:14 lastmod: 2016-02-26 14:43:14 status_changed: 2016-02-26 14:43:14 type: conference_item metadata_visibility: show creators_name: Sanguineti, Marcello creators_name: Gnecco, Giorgio creators_name: Gori, Marco creators_name: Melacci, Stefano creators_id: creators_id: giorgio.gnecco@imtlucca.it creators_id: creators_id: title: Dealing with mixed hard/soft constraints via Support constraint Machines ispublished: pub subjects: QA75 divisions: CSA full_text_status: none pres_type: paper abstract: A learning paradigm is presented, which extends the classical framework of learning from examples by including hard pointwise constraints, i.e., constraints that cannot be violated. In applications, hard pointwise constraints may encode very precise prior knowledge coming from rules, applied, e.g., to a large collection of unsupervised examples. The classical learning framework corresponds to soft pointwise constraints, which can be violated at the cost of some penalization. The functional structure of the optimal solution is derived in terms of a set of “support constraints”, which generalize the classical concept of “support vectors”. They are at the basis of a novel learning parading, that we called “Support Constraint Machines”. A case study and a numerical example are presented. date: 2015 pagerange: 218-219 event_title: 45th Conference of Italian Operational Research Society (AIRO 2015) event_location: Pisa, Italy event_dates: September 7-10, 2015 event_type: conference refereed: TRUE book_title: Book of abstracts of the 45th Conference of Italian Operational Research Society (AIRO) official_url: http://www.airo.org/conferences/airo2015/images/booklet.pdf citation: Sanguineti, Marcello and Gnecco, Giorgio and Gori, Marco and Melacci, Stefano Dealing with mixed hard/soft constraints via Support constraint Machines. In: 45th Conference of Italian Operational Research Society (AIRO 2015), September 7-10, 2015, Pisa, Italy pp. 218-219. (2015)