Optimal and Efficient Online Inverse Optimization

Published
Source
arXiv
Paper number
1171
Field
Machine Learning
arXiv ID
2610.08735

Key points

  • In a setting where the hidden linear criterion is learned only from the expert's observed choices, the algorithm achieves the optimal regret proportional to the square root of the dimension d.
  • The previous optimal algorithm required nearly exponential-time computation per round, and this paper presents the first polynomial-time version.
  • The key idea is a 'revocation' rule that undoes a metric update once the query point moves too far from where the update was made.
  • The algorithm is deterministic and guarantees optimal regret for every horizon T without any randomness.

Paper links

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