# Online Multi-task Learning with Hard Constraints

Abstract : We discuss multi-task online learning when a decision maker has to deal simultaneously with M tasks. The tasks are related, which is modeled by imposing that the M-tuple of actions taken by the decision maker needs to satisfy certain constraints. We give natural examples of such restrictions and then discuss a general class of tractable constraints, for which we introduce computationally efficient ways of selecting actions, essentially by reducing to an on-line shortest path problem. We briefly discuss tracking'' and bandit'' versions of the problem and extend the model in various ways, including non-additive global losses and uncountably infinite sets of tasks.
Type de document :
Pré-publication, Document de travail
2009
Domaine :

Littérature citée [9 références]

https://hal.archives-ouvertes.fr/hal-00362643
Contributeur : Gilles Stoltz <>
Soumis le : vendredi 20 mars 2009 - 14:05:44
Dernière modification le : jeudi 29 mars 2018 - 17:08:03
Document(s) archivé(s) le : mercredi 22 septembre 2010 - 12:32:47

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### Identifiants

• HAL Id : hal-00362643, version 2
• ARXIV : 0902.3526

### Citation

Gabor Lugosi, Omiros Papaspiliopoulos, Gilles Stoltz. Online Multi-task Learning with Hard Constraints. 2009. 〈hal-00362643v2〉

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