511 citations · 1.2k across the 54 of their papers we have counts for
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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…
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…
Variations on the Expectation due to Changes in the Probability Measure
Samir M. Perlaza, Gaetan Bisson
In this paper, closed-form expressions are presented for the variation of the expectation of a given function due to changes in the probability measure used for the expectation. Th…
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…