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On information structures, convexity, and linear optimality
2008 47th IEEE Conference on Decision and Control, 2008In 1968, Witsenhausen introduced his celebrated counterexample, which illustrated that when an information pattern is nonclassical, the controllers which optimize an expected quadratic cost may be nonlinear. For the special invited session commemorating the fortieth anniversary of the counter-example, we address one of the four follow-up questions ...
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The complementary convex structure in global optimization
Journal of Global Optimization, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Classification of Symplectic Structures of Convex Type
Geometriae Dedicata, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Structural Property of Convex 3-Polytopes
Geometriae Dedicata, 1997A \((d_1,d_2, \dots, d_k)\)-path on a convex 3-polytope (3-connected planar graph) is one whose successive vertices have degrees \(d_1\), \(d_2, \dots, d_k\). The author shows here that a 3-polytope always has \((a,b,c)\)-paths for certain restrictions on the degrees. In particular, generalizing the (best possible) cases \(k=1\) \((a\leq 5)\) and \(k=2(
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Games on convex geometries with a coalition structure
International Journal of Modelling, Identification and Control, 2013In this study, the model of games on convex geometries with a coalition structure is introduced, where the players can participate in different unions. The Shapley value for games on convex geometries with a coalition structure is researched, which can be seen as an extension of the Shapley value for games on convex geometries and that for the ...
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On the convexity in Kronecker structured covariance estimation
2012 IEEE Statistical Signal Processing Workshop (SSP), 2012A classical model for the covariance of a random matrix is the Kronecker product of two smaller covariance matrices associated with the rows and columns. Maximum likelihood estimation in such structures involves a non-convex optimization problem and is traditionally handled via an alternating maximization Flip-Flop technique.
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An evolutionary structure of convex quadrilaterals. II
2013Summary: We solve explicitly the generalized Gauss problem for convex quadrilaterals in the two dimensional Euclidean space. By introducing the variable \( c=c_{G}+\frac{|B_{1}-B_{4}|+|B_{2}-B_{3}|}{2}\), where \(c_{G}=\frac{1}{2} \) is the Gauss constant and \(B_{i}\) are positive real variables such that \(\sum_{i=1}^{4}B_{i}=1,\) we derive some new ...
Zachos, Anastasios N. +1 more
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The characteristic of convexity of a Banach space and normal structure
Journal of Mathematical Analysis and Applications, 2008Satit Saejung
exaly

