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- Michel Journée, Yurii Nesterov, Peter Richtárik, Rodolphe Sepulchre
- Journal of Machine Learning Research
- 2010

In this paper we develop a new approach to sparse principal component analysis (sparse PCA). We propose two single-unit and two block optimization formulations of the sparse PCA problem, aimed at extracting a single sparse dominant principal component of a data matrix, or more components at once, respectively. While the initial formulations involve… (More)

- Rodolphe Sepulchre, Derek A. Paley, Naomi Ehrich Leonard
- IEEE Trans. Automat. Contr.
- 2007

This paper proposes a design methodology to stabilize isolated relative equilibria in a model of all-to-all coupled, identical, steered particles moving in the plane at unit speed. Isolated relative equilibria either correspond to parallel motion of all particles with fixed relative spacing or to circular motion of all particles with fixed relative phases.… (More)

- Naomi Ehrich Leonard, Derek A. Paley, Francois Lekien, Rodolphe Sepulchre, David M. Fratantoni, Russ E. Davis
- Proceedings of the IEEE
- 2007

This paper addresses the design of mobile sensor networks for optimal data collection. The development is strongly motivated by the application to adaptive ocean sampling for an autonomous ocean observing and prediction system. A performance metric, used to derive optimal paths for the network of mobile sensors, defines the optimal data set as one which… (More)

- Rodolphe Sepulchre, Derek A. Paley, Naomi Ehrich Leonard
- IEEE Trans. Automat. Contr.
- 2008

This paper proposes a design methodology to stabilize relative equilibria in a model of identical, steered particles moving in the plane at unit speed. Relative equilibria either correspond to parallel motion of all particles with fixed relative spacing or to circular motion of all particles around the same circle. Particles exchange relative information… (More)

- Luca Scardovi, Rodolphe Sepulchre
- CDC
- 2008

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling that achieves synchronization if the decoupled systems have no exponentially unstable mode and if the communication… (More)

- Michel Journée, Francis R. Bach, Pierre-Antoine Absil, Rodolphe Sepulchre
- SIAM Journal on Optimization
- 2010

We propose an algorithm for solving optimization problems defined on a subset of the cone of symmetric positive semidefinite matrices. This algorithm relies on the factorization X = Y Y T , where the number of columns of Y fixes an upper bound on the rank of the positive semidefinite matrix X. It is thus very effective for solving problems that have a… (More)

- Peter Wieland, Rodolphe Sepulchre, Frank Allgöwer
- Automatica
- 2011

This paper presents a Lyapunov design for the stabilization of collective motion in a planar kinematic model of N particles moving at constant speed. We derive a control law that achieves asymptotic stability of the splay state formation, characterized by uniform rotation of N evenly spaced particles on a circle. In designing the control law, the particle… (More)

- Guy-Bart Stan, Rodolphe Sepulchre
- IEEE Trans. Automat. Contr.
- 2007

This paper employs dissipativity theory for the global analysis of limit cycles in particular dynamical systems of possibly high dimension. Oscillators are regarded as open systems that satisfy a particular dissipation inequality. It is shown that this characterization has implications for the global stability analysis of limit cycle oscillations: i) in… (More)