Title :
Correction to "The Importance of Convexity in Learning With Squared Loss" [Sep 98 1974-1980]
Author :
Wee Sun Lee ; Bartlett, P.L. ; Williamson, R.C.
Author_Institution :
Dept. of Comput. Sci., Nat. Univ. of Singapore, Singapore
Abstract :
The paper "the importance of convexity in learning with squared loss" gave a lower bound on the sample complexity of learning with quadratic loss using a nonconvex function class. The proof contains an error. We show that the lower bound is true under a stronger condition that holds for many cases of interest.
Keywords :
computational complexity; learning (artificial intelligence); convexity importance; nonconvex function class; quadratic loss; sample complexity; squared loss; Algorithm design and analysis; Australia; Computer science; Hilbert space; Minimization methods; Pattern recognition; Probability distribution; Statistical learning; Statistics; Sun; Agnostic learning; lower bound; sample complexity;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.928242
