8 citations · 16 across the 9 of their papers we have counts for
5 papers · 1 filter
Factorization Approach for Low-complexity Matrix Completion Problems: Exponential Number of Spurious Solutions and Failure of Gradient Methods
Baturalp Yalcin, Haixiang Zhang, Javad Lavaei +1
It is well-known that the Burer-Monteiro (B-M) factorization approach can efficiently solve low-rank matrix optimization problems under the RIP condition. It is natural to ask whet…
Internally Hankel -positive systems
Christian Grussler, Thiago B. Burghi, Somayeh Sojoudi
The classes of externally Hankel -positive LTI systems and autonomous -positive systems have recently been defined, and their properties and applications began to be explored…
Efficient Learning of Distributed Linear-Quadratic Controllers
Salar Fattahi, Nikolai Matni, Somayeh Sojoudi
In this work, we propose a robust approach to design distributed controllers for unknown-but-sparse linear and time-invariant systems. By leveraging modern techniques in distribute…
On the Absence of Spurious Local Trajectories in Time-varying Nonconvex Optimization
S. Fattahi, C. Josz, Y. Ding +3
In this paper, we study the landscape of an online nonconvex optimization problem, for which the input data vary over time and the solution is a trajectory rather than a single poi…
Transient Stability Analysis of Power Systems via Occupation Measures
Cedric Josz, Daniel K. Molzahn, Matteo Tacchi +1
We propose the application of occupation measure theory to the classical problem of transient stability analysis for power systems. This enables the computation of certified inner…