Sequential complexities and uniform martingale laws of large numbers
DOI10.1007/s00440-013-0545-5zbMath1356.60029OpenAlexW2029922822WikidataQ114229372 ScholiaQ114229372MaRDI QIDQ2257118
Alexander Rakhlin, Ambuj Tewari, Karthik Sridharan
Publication date: 23 February 2015
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://repository.upenn.edu/cgi/viewcontent.cgi?article=1066&context=statistics_papers
empirical processesdependent dataRademacher averagesuniform Glivenko-Cantelli classessequential prediction
Inequalities; stochastic orderings (60E15) Martingales with discrete parameter (60G42) Strong limit theorems (60F15) Combinatorial probability (60C05) Martingales with continuous parameter (60G44) Multistage and repeated games (91A20)
Related Items (9)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Glivenko-Cantelli problem, ten years later
- Some limit theorems for empirical processes (with discussion)
- Uniform and universal Glivenko-Cantelli classes
- Combinatorics of random processes and sections of convex bodies
- A new convex objective function for the supervised learning of single-layer neural networks
- Uniform convergence of Vapnik-Chervonenkis classes under ergodic sampling
- Rates of convergence for classes of functions: The non-i.i.d. case
- The Glivenko-Cantelli problem
- Martingales with values in uniformly convex spaces
- Empirical discrepancies and subadditive processes
- Rates of convergence for empirical processes of stationary mixing sequences
- Efficient distribution-free learning of probabilistic concepts
- Entropy and the combinatorial dimension
- A note on uniform laws of averages for dependent processes
- Optimum bounds for the distributions of martingales in Banach spaces
- Weak convergence and empirical processes. With applications to statistics
- Fat-shattering and the learnability of real-valued functions
- The universal Glivenko-Cantelli property
- A combinatorial problem; stability and order for models and theories in infinitary languages
- On the density of families of sets
- Uniform Central Limit Theorems
- Scale-sensitive dimensions, uniform convergence, and learnability
- The Generic Chaining
- 10.1162/153244303321897690
- On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
This page was built for publication: Sequential complexities and uniform martingale laws of large numbers