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1 sty 2011 · Given a partially specified symmetric matrix A with zero diagonal, the Euclidean distance matrix completion problem (EDMCP) is to determine the unspecified entries to make A an EDM.We...
Abstract. A Euclidean distance matrix is one in which the (i,j) entry specifies the squared distance between particle i and particle j. Given a partially-specified symmetric matrix A with zero diagonal, the Euclidean distance matrix completion problem (EDMCP) is to determine the unspecified entries to make A a Euclidean distance matrix.
3.1] A Euclidean distance matrix, an EDM in RN×N +, is an exhaustive table of distance-square dij between points taken by pair from a list of N points {xℓ, ℓ=1...N} in Rn; the squared metric, the measure of distance-square: dij = kxi − xjk 2 2, hxi − xj, xi − xji (1037)
Using semidefinite optimization to solve Euclidean distance matrix problems is studied in [2, 4]. Further theoretical results are given in [10, 13]. Books and survey papers containing a treatment of Euclidean distance matrices in-clude, for example, [31, 44, 87], and most recently [3]. The topic of rank mini-mization for Euclidean distance ...
How can I show that the Euclidean distance satisfies the triangle inequality? Where the Euclidean distance is given by: $$d(p,q) = \sqrt{(p_1-q_1)^2 + \cdots + (p_n-q_n)^2}$$ Triangle Inequality...
1 sty 1999 · Given a partial symmetric matrix A with only certain elements specified, the Euclidean distance matrix completion problem (EDMCP) is to find the unspecified elements of A that make A a...
22 gru 2011 · Given a partially specified symmetric matrix A with zero diagonal, the Euclidean distance matrix completion problem (EDMCP) is to determine the unspecified entries to make A an EDM. We survey three different approaches to solving the EDMCP.
