Abstract
In this paper, we provide a rigorous theoretical investigation of an online learning version of the Facility Location problem which is motivated by emerging problems in real-world applications. In our formulation, we are given a set of sites and an online sequence of user requests. At each trial, the learner selects a subset of sites and then incurs a cost for each selected site and an additional cost which is the price of the user’s connection to the nearest site in the selected subset. The problem may be solved by an application of the well-known Hedge algorithm. This would, however, require time and space exponential in the number of the given sites, which motivates our design of a novel quasi-linear time algorithm for this problem, with good theoretical guarantees on its performance.
Original language | English (US) |
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Pages (from-to) | 1002-1050 |
Number of pages | 49 |
Journal | Proceedings of Machine Learning Research |
Volume | 132 |
State | Published - 2021 |
Event | 32nd International Conference on Algorithmic Learning Theory, ALT 2021 - Virtual, Online Duration: Mar 16 2021 → Mar 19 2021 |
All Science Journal Classification (ASJC) codes
- Artificial Intelligence
- Software
- Control and Systems Engineering
- Statistics and Probability