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POSITIVE SEMIDEFINITE GERMS ON THE CONE
 PACIFIC JOURNAL OF MATHEMATICS VOL. 205, NO. 1, 2002
, 2002
"... We show that any positive semidefinite analytic function germ on the cone z² = x² + y² is a sum of two squares of analytic function germs. ..."
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Cited by 6 (5 self)
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We show that any positive semidefinite analytic function germ on the cone z² = x² + y² is a sum of two squares of analytic function germs.
POSITIVE SEMIDEFINITE ZERO FORCING
, 2011
"... The positive semidefinite zero forcing number Z+(G) of a graph G was introduced in [4]. We establish a variety of properties of Z+(G): Any vertex of G can be in a minimum positive semidefinite zero forcing set (this is not true for standard zero forcing). The graph parameters tw(G) (treewidth), Z+( ..."
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The positive semidefinite zero forcing number Z+(G) of a graph G was introduced in [4]. We establish a variety of properties of Z+(G): Any vertex of G can be in a minimum positive semidefinite zero forcing set (this is not true for standard zero forcing). The graph parameters tw(G) (treewidth), Z
Positive semidefinite rank
, 2014
"... Let M ∈ Rp×q be a nonnegative matrix. The positive semidefinite rank (psd rank) of M is the smallest integer k for which there exist positive semidefinite matrices Ai, Bj of size k × k such that Mij = trace(AiBj). The psd rank has many appealing geometric interpretations, including semidefinite re ..."
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Let M ∈ Rp×q be a nonnegative matrix. The positive semidefinite rank (psd rank) of M is the smallest integer k for which there exist positive semidefinite matrices Ai, Bj of size k × k such that Mij = trace(AiBj). The psd rank has many appealing geometric interpretations, including semidefinite
POSITIVE SEMIDEFINITE GERMS ON THE CONE
, 2002
"... We show that any positive semidefinite analytic function germ on the cone z2 = x2 + y2 is a sum of two squares of analytic function germs. 1. Introduction and statement of the result. The problem of representing a positive semidefinite function (=psd) as a sum of squares (=sos) is a very old matter ..."
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We show that any positive semidefinite analytic function germ on the cone z2 = x2 + y2 is a sum of two squares of analytic function germs. 1. Introduction and statement of the result. The problem of representing a positive semidefinite function (=psd) as a sum of squares (=sos) is a very old matter
Positive semidefinite propagation time
, 2013
"... Let G be a simple, undirected graph. Positive semidefinite (PSD) zero forcing on G is based on the following colorchange rule: Let W1, W2,..., Wk be the sets of vertices of the k connected components in G − B (where B is a set of blue vertices). If w ∈ Wi is the only white neighbor of some b ∈ B i ..."
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Let G be a simple, undirected graph. Positive semidefinite (PSD) zero forcing on G is based on the following colorchange rule: Let W1, W2,..., Wk be the sets of vertices of the k connected components in G − B (where B is a set of blue vertices). If w ∈ Wi is the only white neighbor of some b ∈ B
Positive Semidefinite Metric Learning with Boosting
"... The learning of appropriate distance metrics is a critical problem in image classification and retrieval. In this work, we propose a boostingbased technique, termed BOOSTMETRIC, for learning a Mahalanobis distance metric. One of the primary difficulties in learning such a metric is to ensure that t ..."
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Cited by 26 (1 self)
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that the Mahalanobis matrix remains positive semidefinite. Semidefinite programming is sometimes used to enforce this constraint, but does not scale well. BOOSTMETRIC is instead based on a key observation that any positive semidefinite matrix can be decomposed into a linear positive combination of traceone rank
AFFINE PROCESSES ON POSITIVE SEMIDEFINITE MATRICES
, 910
"... Abstract. This paper provides the mathematical foundation for stochastically continuous affine processes on the cone of positive semidefinite symmetric matrices. These matrixvalued affine processes have arisen from a large and growing range of useful applications in finance, including multiasset o ..."
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Cited by 29 (11 self)
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Abstract. This paper provides the mathematical foundation for stochastically continuous affine processes on the cone of positive semidefinite symmetric matrices. These matrixvalued affine processes have arisen from a large and growing range of useful applications in finance, including multi
Results 1  10
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