8 papers
Distributed Synchronisation of Heterogeneous Dynamical Networks With Nonlinear Diffusive Couplings
Yongkang Su, Joaquin Carrasco, Iñaki Esnaola +1
This letter investigates the problem of output synchronisation in heterogeneous dynamical networks with nonlinear diffusive couplings in the presence of disturbances on the couplin…
Empirical Risk Minimization with -Divergence Regularization
Francisco Daunas, Iñaki Esnaola, Samir M. Perlaza +1
In this paper, the solution to the empirical risk minimization problem with -divergence regularization (ERM-DR) is presented and conditions under which the solution also serv…
A Dual Optimization View to Empirical Risk Minimization with f-Divergence Regularization
Francisco Daunas, Iñaki Esnaola, Samir M. Perlaza
The dual formulation of empirical risk minimization with f-divergence regularization (ERM-fDR) is introduced. The solution of the dual optimization problem to the ERM-fDR is connec…
Proofs for Folklore Theorems on the Radon-Nikodym Derivative
Yaiza Bermudez, Gaetan Bisson, Iñaki Esnaola +1
In this technical report, rigorous statements and formal proofs are presented for both foundational and advanced folklore theorems on the Radon-Nikodym derivative. The cases of con…
Decentralized Stealth Attacks on Cyber-Physical Systems
Xiuzhen Ye, Inaki Esnaola, Samir M. Perlaza +1
Decentralized stealth attack constructions that minimize the mutual information between the state variables and the measurements are proposed. The attack constructions are formulat…
Generalization Error of -Divergence Stabilized Algorithms via Duality
Francisco Daunas, Iñaki Esnaola, Samir M. Perlaza +1
The solution to empirical risk minimization with -divergence regularization (ERM-DR) is extended to constrained optimization problems, establishing conditions for equivalence…