Diagonals of convex sets
Miroslav Fiedler, Vlastimil Pták (1978)
Czechoslovak Mathematical Journal
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Miroslav Fiedler, Vlastimil Pták (1978)
Czechoslovak Mathematical Journal
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Bair, J., Dupin, J.C. (1999)
Journal of Convex Analysis
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Németh, A.B. (2004)
Mathematica Pannonica
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Rostislav Matveev, Jacobus W. Portegies (2020)
Kybernetika
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In a series of articles, we have been developing a theory of tropical diagrams of probability spaces, expecting it to be useful for information optimization problems in information theory and artificial intelligence. In this article, we give a summary of our work so far and apply the theory to derive a dimension-reduction statement about the shape of the entropic cone.
Nicu Boboc, Gheorghe Bucur, A. Cornea (1975)
Annales de l'institut Fourier
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The -cone is an abstract model for the cone of positive superharmonic functions on a harmonic space or for the cone of excessive functions with respect to a resolvent family, having sufficiently many properties in order to develop a good deal of balayage theory and also to construct a dual concept which is also an -cone. There are given an integral representation theorem and a representation theorem as an -cone of functions for which fine topology, thinnes, negligible sets and the...
Eriksson-Bique, Sirkka-Liisa (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Chai, Yan-Fei, Cho, Yeol Je, Li, Jun (2008)
Journal of Inequalities and Applications [electronic only]
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