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» Sharp thresholds for hypergraph regressive Ramsey numbers
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JCT
2011
115views more  JCT 2011»
14 years 5 months ago
Sharp thresholds for hypergraph regressive Ramsey numbers
The f-regressive Ramsey number Rreg f (d, n) is the minimum N such that every colouring of the d-tuples of an N-element set mapping each x1, . . . , xd to a colour ≤ f(x1) contai...
Lorenzo Carlucci, Gyesik Lee, Andreas Weiermann
81
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JCT
2000
110views more  JCT 2000»
14 years 10 months ago
Unordered Canonical Ramsey Numbers
Following ideas of Richer (2000) we introduce the notion of unordered regressive Ramsey numbers or unordered Kanamori-McAloon numbers. We show that these are of Ackermannian growt...
Duncan C. Richer
82
Voted
CORR
2007
Springer
110views Education» more  CORR 2007»
14 years 10 months ago
Information-theoretic limits on sparsity recovery in the high-dimensional and noisy setting
The problem of recovering the sparsity pattern of a fixed but unknown vector β∗ ∈ Rp based on a set of n noisy observations arises in a variety of settings, including subset...
Martin J. Wainwright