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A few more Lonely Runners
Avinash Bhardwaj, Vishnu Narayanan, Hrishikesh Venkataraman
Lonely Runner Conjecture, proposed by Jörg M. Wills and so nomenclatured by Luis Goddyn, has been an object of interest since it was first conceived in 1967 : Given positive intege…
Exact augmented Lagrangian duality for mixed integer convex optimization
Avinash Bhardwaj, Vishnu Narayanan, Abhishek Pathapati
Augmented Lagrangian dual augments the classical Lagrangian dual with a non-negative non-linear penalty function of the violation of the relaxed/dualized constraints in order to re…
Stochastic Gradient Methods with Compressed Communication for Decentralized Saddle Point Problems
Chhavi Sharma, Vishnu Narayanan, P. Balamurugan
We develop two compression based stochastic gradient algorithms to solve a class of non-smooth strongly convex-strongly concave saddle-point problems in a decentralized setting (wi…