Coherence invariant maps on tensor products
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DOI: 10.1016/j.laa.2016.11.023
Abstract: Abstract In 1940s, Hua established the fundamental theorem of geometry of rectangular matrices which describes the general form of coherence invariant bijective maps on the space of all matrices of a given size. In 1955,… read more here.
Keywords: tensor products; coherence invariant; coherence; maps tensor ... See more keywords
Decomposability of linear maps under tensor powers
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DOI: 10.1063/1.5045559
Abstract: Both completely positive and completely copositive maps stay decomposable under tensor powers, i.e., under tensoring the linear map with itself. But are there other examples of maps with this property? We show that this is… read more here.
Keywords: linear maps; maps tensor; tensor; tensor powers ... See more keywords
Extending Fuzzy Cognitive Maps with Tensor-Based Distance Metrics
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DOI: 10.3390/math8111898
Abstract: Cognitive maps are high level representations of the key topological attributes of real or abstract spatial environments progressively built by a sequence of noisy observations. Currently such maps play a crucial role in cognitive sciences… read more here.
Keywords: tensor based; distance; fuzzy cognitive; cognitive maps ... See more keywords