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A Theory of Multi-objective Machine Learning

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Introduces a concrete formalism: learn one model good for k distributions (per-distribution losses and calibration), cast as a min‑max game solved by no-regret vs best-response dynamics and online bandit/full‑info tools; shows interactive, adaptive sampling cuts sample cost from naive linear‑in‑k VC blowup to roughly additive log‑H + poly(k) regret terms (practical algorithms and benchmark results reported); flags incentive failures (need individual rationality and stability for collaborators) and open gaps like whether the log k factor is necessary.

AI-written summary · about

  1. 0:00Multi-objective ML intro
  2. 10:50Multi-objective learning framework
  3. 24:48Resource needs in multi-objective learning
  4. 34:30Adaptive learning protocols
  5. 46:19Offline problems with online algorithms
  6. 56:05Generalization with infinite hypotheses
  7. 1:03:11Incentives in resource procurement
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