{"citation":{"short":"A. Bellet, A. Habrard, E. Morvant, M. Sebban, Machine Learning 97 (2014) 129–154.","ama":"Bellet A, Habrard A, Morvant E, Sebban M. Learning a priori constrained weighted majority votes. <i>Machine Learning</i>. 2014;97(1-2):129-154. doi:<a href=\"https://doi.org/10.1007/s10994-014-5462-z\">10.1007/s10994-014-5462-z</a>","ista":"Bellet A, Habrard A, Morvant E, Sebban M. 2014. Learning a priori constrained weighted majority votes. Machine Learning. 97(1–2), 129–154.","apa":"Bellet, A., Habrard, A., Morvant, E., &#38; Sebban, M. (2014). Learning a priori constrained weighted majority votes. <i>Machine Learning</i>. Springer. <a href=\"https://doi.org/10.1007/s10994-014-5462-z\">https://doi.org/10.1007/s10994-014-5462-z</a>","chicago":"Bellet, Aurélien, Amaury Habrard, Emilie Morvant, and Marc Sebban. “Learning a Priori Constrained Weighted Majority Votes.” <i>Machine Learning</i>. Springer, 2014. <a href=\"https://doi.org/10.1007/s10994-014-5462-z\">https://doi.org/10.1007/s10994-014-5462-z</a>.","ieee":"A. Bellet, A. Habrard, E. Morvant, and M. Sebban, “Learning a priori constrained weighted majority votes,” <i>Machine Learning</i>, vol. 97, no. 1–2. Springer, pp. 129–154, 2014.","mla":"Bellet, Aurélien, et al. “Learning a Priori Constrained Weighted Majority Votes.” <i>Machine Learning</i>, vol. 97, no. 1–2, Springer, 2014, pp. 129–54, doi:<a href=\"https://doi.org/10.1007/s10994-014-5462-z\">10.1007/s10994-014-5462-z</a>."},"ec_funded":1,"_id":"2180","language":[{"iso":"eng"}],"author":[{"full_name":"Bellet, Aurélien","last_name":"Bellet","first_name":"Aurélien"},{"full_name":"Habrard, Amaury","first_name":"Amaury","last_name":"Habrard"},{"orcid":"0000-0002-8301-7240","first_name":"Emilie","last_name":"Morvant","full_name":"Morvant, Emilie","id":"4BAC2A72-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Sebban, Marc","last_name":"Sebban","first_name":"Marc"}],"publication":"Machine Learning","page":"129 - 154","doi":"10.1007/s10994-014-5462-z","acknowledgement":"This work was funded by the French project SoLSTiCe ANR-13-BS02-01 of the ANR. ","project":[{"grant_number":"308036","name":"Lifelong Learning of Visual Scene Understanding","_id":"2532554C-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"intvolume":"        97","volume":97,"publist_id":"4802","year":"2014","publication_status":"published","date_published":"2014-10-01T00:00:00Z","issue":"1-2","department":[{"_id":"ChLa"}],"abstract":[{"lang":"eng","text":"Weighted majority votes allow one to combine the output of several classifiers or voters. MinCq is a recent algorithm for optimizing the weight of each voter based on the minimization of a theoretical bound over the risk of the vote with elegant PAC-Bayesian generalization guarantees. However, while it has demonstrated good performance when combining weak classifiers, MinCq cannot make use of the useful a priori knowledge that one may have when using a mixture of weak and strong voters. In this paper, we propose P-MinCq, an extension of MinCq that can incorporate such knowledge in the form of a  constraint over the distribution of the weights, along with general proofs of convergence that stand in the sample compression setting for data-dependent voters. The approach is applied to a vote of k-NN classifiers with a specific modeling of the voters' performance. P-MinCq significantly outperforms the classic k-NN classifier, a symmetric NN and MinCq using the same voters. We show that it is also competitive with LMNN, a popular metric learning algorithm, and that combining both approaches further reduces the error."}],"main_file_link":[{"open_access":"1","url":"https://hal.archives-ouvertes.fr/hal-01009578/document"}],"type":"journal_article","day":"01","month":"10","date_updated":"2021-01-12T06:55:49Z","title":"Learning a priori constrained weighted majority votes","quality_controlled":"1","status":"public","oa_version":"Submitted Version","oa":1,"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","date_created":"2018-12-11T11:56:10Z","publisher":"Springer","scopus_import":1}