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math.OC2024
On the local and global minimizers of the smooth stress function in Euclidean Distance Matrix problems
Mengmeng Song, Douglas Goncalves, Woosuk L. Jung +3
We consider the nonconvex minimization problem, with quartic objective function, that arises in the exact recovery of a configuration matrix of points when a Euc…
math.OC2024
Projection, Degeneracy, and Singularity Degree for Spectrahedra
Haesol Im, Woosuk L. Jung, David Torregrosa-Belén +1
Facial reduction, FR, is a regularization technique for convex programs where the strict feasibility constraint qualification, CQ, fails.Though this CQ holds generically, failure i…
math.OC2024
Single Element Error Correction/ in a Euclidean Distance Matrix
Abdo Alfakih, Woosuk L. Jung, Henry Wolkowicz +1
We consider the \emph{exact} error correction of a noisy Euclidean distance matrix, EDM, where the elements are the squared distances between points in . For our problem w…