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20172026
most citedSample average approximation with heavier tails II: localization in stochastic convex optimization and persistence results for the Lasso

6 citations · 18 across the 11 of their papers we have counts for

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math.OC2017★ 6 cited

Sample average approximation with heavier tails II: localization in stochastic convex optimization and persistence results for the Lasso

Roberto I. Oliveira, Philip Thompson

``Localization'' has proven to be a valuable tool in the Statistical Learning literature as it allows sharp risk bounds in terms of the problem geometry. Localized bounds seem to b…

math.OC2017

On variance reduction for stochastic smooth convex optimization with multiplicative noise

Alejandro Jofré, Philip Thompson

We propose dynamic sampled stochastic approximation (SA) methods for stochastic optimization with a heavy-tailed distribution (with finite 2nd moment). The objective is the sum of…

math.OC2017★ 1 cited

Sample average approximation with heavier tails I: non-asymptotic bounds with weak assumptions and stochastic constraints

Roberto I. Oliveira, Philip Thompson

We derive new and improved non-asymptotic deviation inequalities for the sample average approximation (SAA) of an optimization problem. Our results give strong error probability bo…

math.OC2017

Incremental constraint projection methods for monotone stochastic variational inequalities

Alfredo Iusem, Alejandro Jofré, Philip Thompson

We consider stochastic variational inequalities with monotone operators defined as the expected value of a random operator. We assume the feasible set is the intersection of a larg…

math.OC2017★ 5 cited

Variance-based stochastic extragradient methods with line search for stochastic variational inequalities

Alfredo Iusem, Alejandro Jofré, Roberto I. Oliveira +1

A dynamic sampled stochastic approximated (DS-SA) extragradient method for stochastic variational inequalities (SVI) is proposed that is \emph{robust} with respect to an unknown Li…

math.OC2017

Extragradient method with variance reduction for stochastic variational inequalities

Alfredo Iusem, Alejandro Jofré, Roberto I. Oliveira +1

We propose an extragradient method with stepsizes bounded away from zero for stochastic variational inequalities requiring only pseudo-monotonicity. We provide convergence and comp…