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One-Bit-Matching Theorem for ICA, Convex-Concave Programming on Polyhedral Set, and Distribution Approximation for Combinatorics

Neural Computation, 2007
According to the proof by Liu, Chiu, and Xu (2004) on the so-called one-bit-matching conjecture (Xu, Cheung, and Amari, 1998a), all the sources can be separated as long as there is an one-to-one same-sign correspondence between the kurtosis signs of all source probability density functions (pdf's) and the kurtosis signs of all model pdf's, which is ...
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SU(3)×𝒮20 algebras for uniform spin‐1 ensembles on [2H12C]20, or [14N]20, dodecahedrane‐type lattices and analogous isotopomeric [M2012C40] met‐carb subensembles: M‐based cardinalities and completeness of 𝒮20 spin irreps, via hierarchical {𝒞λ⊢(n=20):(M)} designs of polyhedral combinatorics*

International Journal of Quantum Chemistry, 2002
AbstractThe M‐based hierarchy cardinalities of spin irreps for \documentclass{article}\pagestyle{empty}\begin{document}$[A]_{20}^{(I_{i}=1)}$\end{document} uniform nuclear magnetic resonance (NMR) /isotopomer spin ensembles are derived. Such ideas define the completeness of the number‐partition‐based (intermediate) combinatorial designs (on M ...
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Polyhedral Combinatorics of Quadratic Assignment Problems with Less Objects than Locations

1998
For the classical quadratic assignment problem (QAP) that requires n objects to be assigned to n locations (the n × n-case), polyhe- dral studies have been started in the very recent years by several authors. In this paper, we investigate the variant of the QAP, where the number of locations may exceed the number of objects (the m × n-case).
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Recent Advances in Polyhedral Combinatorics

2018
Combinatorial optimization searches for an optimal object in a nite collection; typically the collection has a concise representation while the number of objects is huge. Polyhedral and linear programming techniques have proved to be very powerful and successful in tackling various combinatorial optimization problems, and the end products of these ...
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Polyhedral Combinatorics

2005
Robert D. Carr, Goran Konjevod
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Tilting theory and cluster combinatorics

Advances in Mathematics, 2006
Aslak Bakke Buan   +2 more
exaly  

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