InOrMo, momentum isincorporated into ASGD byorganizing the gradients in order based on their iteration indexes. We theoretically prove the convergence of OrMo with both constant and delay-adaptive learning rates for non-convexproblems.

The current methods for estimating the nadir objective vector perform effectivelyonly onspecific MOPs.

Manynon-parametric regression methods areproposed to solve the regression problem by assuming thatf falls into certain function classes, including polynomial splines Stone (1994), local polynomials Cleveland (1979); Stone (1977), the spectral algorithmsCaponnetto(2006);CaponnettoandDeVito(2007);CaponnettoandYao(2010),etc.

That is, letusregardHk = Cq.

We study the set of continuous functions that admit no spurious local optima (i.e.

We consider the problem of learning optimal reserve price in repeated auctions against non-myopic bidders, who may bidstrategically inorder togaininfuture rounds even if the single-round auctions are truthful.

There aretwointeresting andwell-studied computational paradigms aimed attackling uncertainty.

Most previous distributed algorithms have their communication costs linearly depending onz,thenumber ofoutliers.