A Combinatorial Algorithm to Compute Regularization Paths

dc.creatorGärtner, Bernd
dc.creatorGiesen, Joachim
dc.creatorJaggi, Martin
dc.creatorWelsch, Torsten
dc.date2009-03-27
dc.date.accessioned2026-07-07T12:57:32Z
dc.date.available2026-07-07T12:57:32Z
dc.descriptionFor a wide variety of regularization methods, algorithms computing the entire solution path have been developed recently. Solution path algorithms do not only compute the solution for one particular value of the regularization parameter but the entire path of solutions, making the selection of an optimal parameter much easier. Most of the currently used algorithms are not robust in the sense that they cannot deal with general or degenerate input. Here we present a new robust, generic method for parametric quadratic programming. Our algorithm directly applies to nearly all machine learning applications, where so far every application required its own different algorithm. We illustrate the usefulness of our method by applying it to a very low rank problem which could not be solved by existing path tracking methods, namely to compute part-worth values in choice based conjoint analysis, a popular technique from market research to estimate consumers preferences on a class of parameterized options.
dc.description7 Pages, 1 Figure
dc.identifierhttps://arxiv.org/abs/0903.4856
dc.identifierhttp://arxiv.org/abs/0903.4856
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224966
dc.subjectMachine Learning
dc.subjectArtificial Intelligence
dc.subjectComputer Vision and Pattern Recognition
dc.subjectF.2.2; I.5.1
dc.titleA Combinatorial Algorithm to Compute Regularization Paths
dc.typetext

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