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EDMbox

This repository contains a collection of Matlab routines to accompany the paper Euclidean Distance Matrices: A Short Walk Through Theory, Algorithms and Applications by Ivan Dokmanic, Reza Parhizkar, Juri Ranieri and Martin Vetterli.

Main functions

Filename Description
edm.m Creates an EDM from a list of points
classic_mds.m Classic multidimensional scaling
alternating_descent.m S-stress minimization with ACD
random_deletion_mask.m Observation mask with randomly removed distances
sdr_complete_edm.m EDM completion with semidefinite relaxation
rank_complete_edm.m EDM completion with rank alternation
sdr_complete_edm_noise.m EDM completion with noise (trace maximization)

Helper functions

Filename Description
cubicfcnroots.m Roots of a cubic polynomial
quadfcn.m Roots of a quadratic

Examples and paper figures

Filename Description
Example1_SwissTrains_SBB.m City locations in the Swiss trains box
Example2_RandomCompletion.m Generates Fig. 6 of the paper
Example3_UnfoldingCompletion.m Generates Fig. 7 of the paper

NOTE: Example2 and Example3 are outdated (they correspond to version 1 of the paper which was superseded by a revised version). We will commit the new routines in the coming days.

Authors

Ivan Dokmanić, Juri Ranieri, and Martin Vetterli are with Laboratory for Audiovisual Communications (LCAV) at EPFL, Switzerland. Reza Parhizkar is with macx red AG (Financial services), Zug, Switzerland.

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Matlab routines for Euclidean distance matrices

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