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Exact probabilities...
Abstract
Ämnesord
Stäng
- We show that the probability to be of rank 2 for a 2×2×2 tensor with elements from a standard normal distribution is π/4, and that the probability to be of rank 3 for a 3×3×2 tensor is 1/2. In the proof results on the expected number of real generalized eigenvalues of random matrices are applied. For n×n×2 tensors with n≥4 we also present some new aspects of their rank.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Tensors; Multi-way arrays; Typical rank; Random matrices
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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