Search Results for author: Javier Peña

Found 2 papers, 0 papers with code

Margins, Kernels and Non-linear Smoothed Perceptrons

no code implementations15 May 2015 Aaditya Ramdas, Javier Peña

This allows us to give guarantees for a primal-dual algorithm that halts in $\min\{\tfrac{\sqrt n}{|\rho|}, \tfrac{\sqrt n}{\epsilon}\}$ iterations with a perfect separator in the RKHS if the primal is feasible or a dual $\epsilon$-certificate of near-infeasibility.

Towards A Deeper Geometric, Analytic and Algorithmic Understanding of Margins

no code implementations20 Jun 2014 Aaditya Ramdas, Javier Peña

Given a matrix $A$, a linear feasibility problem (of which linear classification is a special case) aims to find a solution to a primal problem $w: A^Tw > \textbf{0}$ or a certificate for the dual problem which is a probability distribution $p: Ap = \textbf{0}$.

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