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Distributed consensus and other linear systems with system stochastic matrices $W_k$ emerge in various settings, like opinion formation in social networks, rendezvous of robots, and distributed infere...
Abstract: Applying the max-product (and belief-propagation) algorithms to loopy graphs is now quite popular for best assignment problems. This is largely due to their low computational complexity and ...
Let (X, Y) be a pair of random variables such that X ranges over [0, 1] and Y is real-valued and let go(X) be the conditional expectation of Y given X. Based on a training sample, the piecewise polyno...
Convergence properties of trust-region methods for unconstrained nonconvex optimization is considered in the case where information on the objective function's local curvature is incomplete, in the...
摘要 Let (Y,X) be a random vector with its value in R~1×R~d,d\le 1. Let \Theta be the collection of real valued functions θ(x) on R~d which is p times differ-entiable at x=0 and p-1 times differentiable...
This paper presents a variant algorithm of Goldfarb's method for linearly constrained optimization problems. In the variant algorithm, we introduce a concept called conjugate projection, which differs...
In [1] we proved a general result on the directional derivative of optimal value functions in mathematical programming problems. In this paper, we prove, in addition to the general theorem, several ot...

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