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115
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TIT
2008
133views more  TIT 2008»
15 years 3 months ago
On the Uniqueness of Nonnegative Sparse Solutions to Underdetermined Systems of Equations
An underdetermined linear system of equations Ax = b with non-negativity constraint x 0 is considered. It is shown that for matrices A with a row-span intersecting the positive o...
Alfred M. Bruckstein, Michael Elad, Michael Zibule...
144
Voted
ARSCOM
2004
75views more  ARSCOM 2004»
15 years 3 months ago
On Theorems Equivalent with Kotzig's Result on Graphs with Unique 1-Factors
We show that several known theorems on graphs and digraphs are equivalent. The list of equivalent theorems include Kotzig's result on graphs with unique 1-factors, a lemma by...
Stefan Szeider
78
Voted
ICASSP
2011
IEEE
14 years 7 months ago
An uniqueness condition for the 4-way CANDECOMP/PARAFAC model with collinear loadings in three modes
In this paper we investigate the uniqueness of the 4-way CANDECOMP/PARAFAC (CP) model in the case where the only possible linear dependencies between the columns of the loading ma...
David Brie, Sebastian Miron, Fabrice Caland, Chris...
140
Voted
EOR
2011
106views more  EOR 2011»
14 years 6 months ago
Probability of unique integer solution to a system of linear equations
We consider a system of m linear equations in n variables Ax = d and give necessary and sufficient conditions for the existence of a unique solution to the system that is integer:...
O. L. Mangasarian, Benjamin Recht
CCA
2009
Springer
15 years 10 months ago
Uniqueness, Continuity, and Existence of Implicit Functions in Constructive Analysis
We extract a quantitative variant of uniqueness from the usual hypotheses of the implicit functions theorem. This leads not only to an a priori proof of continuity, but also to an ...
Hannes Diener, Peter Schuster