P. Bartlett, N. Harvey, C. Liaw, and A. Mehrabian. (2017)cite arxiv:1703.02930Comment: Extended abstract appeared in COLT 2017; the upper bound was presented at the 2016 ACM Conference on Data Science. This version includes all the proofs and a refinement of the upper bound, Theorem 6. 16 pages, 2 figures.
P. Bartlett, D. Foster, and M. Telgarsky. (2017)cite arxiv:1706.08498Comment: Comparison to arXiv v1: 1-norm in main bound refined to (2,1)-group-norm. Comparison to NIPS camera ready: typo fixes.