Title
Exponential weight algorithm in continuous time
Abstract
The exponential weight algorithm has been introduced in the framework of discrete time on-line problems. Given an observed process $$\{X_m\}_{m=1,2,\ldots}$$ the input at stage m + 1 is an exponential function of the sum $$S_m = \sum_{\ell = 1}^m X_{\ell}$$. We define the analog algorithm for a continuous time process X t and prove similar properties in terms of external or internal consistency. We then deduce results for discrete time from their counterpart in continuous time. Finally we compare this approach to another continuous time approximation of a discrete time exponential algorithm based on the average sum S m /m.
Year
DOI
Venue
2009
10.1007/s10107-007-0111-y
Math. Program.
Keywords
Field
DocType
average sum,m x,analog algorithm,exponential weight algorithm · continuous time · consistency,continuous time process x,exponential weight algorithm,discrete time exponential algorithm,discrete time,continuous time approximation,exponential function,continuous time
Discrete mathematics,Mathematical optimization,Exponential function,Algorithm,Discrete time and continuous time,Mathematics,Exponential growth
Journal
Volume
Issue
ISSN
116
1
1436-4646
Citations 
PageRank 
References 
23
1.31
7
Authors
1
Name
Order
Citations
PageRank
Sylvain Sorin130049.48