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- Rodolphe Jenatton, Jean-Yves Audibert, Francis R. Bach
- Journal of Machine Learning Research
- 2011

We consider the empirical risk minimization problem for lin ear supervised learning, with regularization by structured sparsity-inducing norms. These are d efined as sums of Euclidean norms onâ€¦ (More)

Many data such as social networks, movie preferences or knowledge bases are multi-relational, in that they describe multiple relations between entities. While there is a large body of work focused onâ€¦ (More)

- Rodolphe Jenatton, Guillaume Obozinski, Francis R. Bach
- AISTATS
- 2010

We present an extension of sparse PCA, or sparse dictionary learning, where the sparsity patterns of all dictionary elements are structured and constrained to belong to a prespecified set of shapes.â€¦ (More)

We propose to combine two approaches for modeling data admitting sparse representations: on the one hand, dictionary learning has proven effective for various signal processing tasks. On the otherâ€¦ (More)

- Rodolphe Jenatton, Julien Mairal, Guillaume Obozinski, Francis R. Bach
- Journal of Machine Learning Research
- 2011

Sparse coding consists in representing signals as sparse li near combinations of atoms selected from a dictionary. We consider an extension of this framework whe re the atoms are further assumed toâ€¦ (More)

We consider a class of learning problems that involve a structured sparsityinducing norm defined as the sum of lâˆž-norms over groups of variables. Whereas a lot of effort has been put in developingâ€¦ (More)

We consider a class of learning problems regularized by a str uctu ed sparsity-inducing norm defined as the sum of l2or lâˆž-norms over groups of variables. Whereas much effort has bee n put inâ€¦ (More)

Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. While naturally cast as a combinatorial optimization problem, variable or feature selectionâ€¦ (More)

Seriation seeks to reconstruct a linear order between variables using unsorted similarity information. It has direct applications in archeology and shotgun gene sequencing for example. We prove theâ€¦ (More)

- Rodolphe Jenatton, Jim C. Huang, CÃ©dric Archambeau
- ICML
- 2016

We present an adaptive online gradient descent algorithm to solve online convex optimization problems with long-term constraints, which are constraints that need to be satisfied when accumulated overâ€¦ (More)