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Uniform Convergence and Rate Adaptive Estimation of a Convex Function
Adaptive estimate B-splines convex regression minimax risk
2012/5/9
This paper addresses the problem of estimating a convex regression function under both the sup-norm risk and the pointwise risk using B-splines. The presence of the convex constraint complicates vario...
Convergence Analysis of Coefficient Regularized Classification Online Algorithms
Classification algorithm online learning coefficient regularization error analysis
2011/11/9
The present paper considers online classification learning algorithms associated with convex loss functions, and gives the error analysis of coefficient regularized online classification algorithms. T...
Random Sequences and Pointwise Convergence of Multiple Ergodic Averages
Ergodic averages mean convergence pointwise convergence multiple recurrence
2011/1/18
We prove pointwise convergence, as N ! 1, for the multiple ergodic averages 1 N PN n=1 f(T nx) ·g(Sanx), where T and S are commuting measure preserving transformations,and an is a random version of th...
Convergence of distributed asynchronous learning vector quantization algorithms
distributed asynchronous vector quantization algorithms
2011/1/4
Motivated by the problem of effectively executing clustering algorithms on very large data sets, we address a model for large scale distributed clustering methods. To this end, we briefly recall some ...