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Content Provider | IEEE Xplore Digital Library |
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Author | Meshram, Rahul Manjunath, D. Gopalan, Aditya |
Copyright Year | 2015 |
Description | Author affiliation: Deptt. of Elecl. Commun. Engg., Indian Inst. of Science, Bangalore INDIA (Gopalan, Aditya) || Deptt. of Elecl. Engg., IIT Bombay, Mumbai INDIA (Meshram, Rahul; Manjunath, D.) |
Abstract | A restless bandit is used to model a user's interest in a topic or item. The interest evolves as a Markov chain whose transition probabilities depend on the action (display the ad or desist) in a time step. A unit reward is obtained if the ad is displayed and if the user clicks on the ad. If no ad is displayed then a fixed reward is assumed. The probability of click-through is determined by the state of the Markov chain. The recommender never gets to observe the state but in each time step it has a belief, denoted by πt; about the state of the Markov chain. πt evolves as a function of the action and the signal from each state. For the one-armed restless bandit with two states, we characterize the policy that maximizes the infinite horizon discounted reward. We first characterize the value function as a function of the system parameters and then characterize the optimal policies for different ranges of the parameters. We will see that the Gilbert-Elliot channel in which the two states have different success probabilities becomes a special case. For one special case, we argue that the optimal policy is of the threshold type with one threshold; extensive numerical results indicate that this may be true in general. |
Starting Page | 7820 |
Ending Page | 7825 |
File Size | 350862 |
Page Count | 6 |
File Format | |
e-ISBN | 9781479978861 |
DOI | 10.1109/CDC.2015.7403456 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2015-12-15 |
Publisher Place | Japan |
Access Restriction | Subscribed |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Markov processes History Transmitters Linear programming Process control Analytical models Context modeling |
Content Type | Text |
Resource Type | Article |
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