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Neighborliness of randomly projected simplices in high dimensions
Let A be a d × n matrix and T = T(n)(-1) be the standard simplex in R(n). Suppose that d and n are both large and comparable: d ≈ δn, δ ∈ (0, 1). We count the faces of the projected simplex AT when the projector A is chosen uniformly at random from the Grassmann manifold of d-dimensional orthoprojec...
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| Main Authors: | , |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
National Academy of Sciences
2005
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| Assuntos: | |
| Acesso em linha: | https://ncbi.nlm.nih.gov/pmc/articles/PMC1172250/ https://ncbi.nlm.nih.gov/pubmed/15972808 https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0502258102 |
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