作者：Pensky, Marianna; Sapatinas, Theofanis
作者单位：State University System of Florida; University of Central Florida; University of Cyprus
摘要：Using the asymptotical minimax framework, we examine convergence rates equivalency between a continuous functional deconvolution model and its real-life discrete counterpart over a wide range of Besov balls and for the L-2-risk. For this purpose, all possible models are divided into three groups. For the models in the first group, which we call uniform, the convergence rates in the discrete and the continuous models coincide no matter what the sampling scheme is chosen, and hence the replaceme...
作者：Ravikumar, Pradeep; Wainwright, Martin J.; Lafferty, John D.
作者单位：University of California System; University of California Berkeley; Carnegie Mellon University; Carnegie Mellon University
摘要：We consider the problem of estimating the graph associated with a binary Ising Markov random field. We describe a method based on l(1)-regularized logistic regression, in which the neighborhood of any given node is estimated by performing logistic regression subject to an l(1)-constraint. The method is analyzed under high-dimensional scaling in which both the number of nodes p and maximum neighborhood size d are allowed to grow as a function of the number of observations n. Our main results pr...
