Huo-Duo Qi

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The problem of data representation on a sphere of unknown radius arises from various disciplines such as Statistics (spatial data representation), Psychology (constrained multidimensional scaling), and Computer Science (machine learning and pattern recognition). The best representation often needs to minimize a distance function of the data on a sphere as(More)
Towards optimal Newton-type methods for nonconvex smooth optimization Coralia Cartis Coralia.Cartis (at) School of Mathematics, Edinburgh University We show that the steepest-descent and Newton methods for unconstrained non-convex optimization, under standard assumptions, may both require a number of iterations and function evaluations arbitrarily(More)
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