Title
Online convex optimization and no-regret learning: Algorithms, guarantees and applications.
Abstract
Spurred by the enthusiasm surrounding the Big Data paradigm, the mathematical and algorithmic tools of online optimization have found widespread use in problems where the trade-off between data exploration and exploitation plays a predominant role. This trade-off is of particular importance to several branches and applications of signal processing, such as data mining, statistical inference, multimedia indexing and wireless communications (to name but a few). With this in mind, the aim of this tutorial paper is to provide a gentle introduction to online optimization and learning algorithms that are asymptotically optimal in hindsight - i.e., they approach the performance of a virtual algorithm with unlimited computational power and full knowledge of the future, a property known as no-regret. Particular attention is devoted to identifying the algorithmsu0027 theoretical performance guarantees and to establish links with classic optimization paradigms (both static and stochastic). To allow a better understanding of this toolbox, we provide several examples throughout the tutorial ranging from metric learning to wireless resource allocation problems.
Year
Venue
Field
2018
arXiv: Learning
Signal processing,Wireless,Regret,Toolbox,Algorithm,Statistical inference,Convex optimization,Big data,Hindsight bias,Mathematics
DocType
Volume
Citations 
Journal
abs/1804.04529
0
PageRank 
References 
Authors
0.34
16
4
Name
Order
Citations
PageRank
Elena-Veronica Belmega115919.91
Panayotis Mertikopoulos225843.71
Romain Negrel3333.42
L. Sanguinetti4137879.34