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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...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Donoho, David L., Tanner, Jared
Formatua: Artigo
Hizkuntza:Inglês
Argitaratua: National Academy of Sciences 2005
Gaiak:
Sarrera elektronikoa: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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