Title
Online Passive-Aggressive Algorithms
Abstract
We present a family of margin based online learning algorithms for various prediction tasks. In particular we derive and analyze algorithms for binary and multiclass categorization, regression, uniclass prediction and sequence prediction. The update steps of our different algorithms are all based on analytical solutions to simple constrained optimization problems. This unified view allows us to prove worst-case loss bounds for the different algorithms and for the various decision problems based on a single lemma. Our bounds on the cumulative loss of the algorithms are relative to the smallest loss that can be attained by any fixed hypothesis, and as such are applicable to both realizable and unrealizable settings. We demonstrate some of the merits of the proposed algorithms in a series of experiments with synthetic and real data sets.
Year
Venue
Keywords
2006
Journal of Machine Learning Research
decision problem,cumulant,analytic solution
Field
DocType
Volume
Sequence prediction,Data set,Artificial intelligence,Lemma (mathematics),Binary number,Categorization,Decision problem,Mathematical optimization,Regression,Margin Infused Relaxed Algorithm,Algorithm,Mathematics,Machine learning
Journal
7,
ISSN
Citations 
PageRank 
1532-4435
367
27.02
References 
Authors
26
6
Search Limit
100367
Name
Order
Citations
PageRank
Koby Crammer15252466.86
Ofer Dekel21353113.83
Joseph Keshet392569.84
Shai Shalev-Shwartz43681276.32
Y Singer5134551559.02
k warmuth636727.02