Learning Theoretic Foundations of Data-Driven Algorithm Design

Learning Theoretic Foundations of Data-Driven Algorithm Design

International Mathematical Union via YouTube Direct link

Data-driven Algorithm Design Data-driven algo design: use learning & data for algo design. Suited when repeatedly solve instances of the same algo problem

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3 of 11

Data-driven Algorithm Design Data-driven algo design: use learning & data for algo design. Suited when repeatedly solve instances of the same algo problem

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Learning Theoretic Foundations of Data-Driven Algorithm Design

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  1. 1 Intro
  2. 2 Machine Learning for Algorithm Design Learning algorithms for solving combinatorial problems. E.g.
  3. 3 Data-driven Algorithm Design Data-driven algo design: use learning & data for algo design. Suited when repeatedly solve instances of the same algo problem
  4. 4 Data-driven algorithm design: Problem Setup
  5. 5 Uniform Convergence Uniform convergence for any algo in Als, average performance over samples close to its expected performance. • Imply that Ā that does best over the sample has high expected perfor…
  6. 6 General Sample Complexity via Dual Classes
  7. 7 Pseudo-dimension (for real valued classes)
  8. 8 Pseudo-dimension, Uniform Convergence
  9. 9 Online Algorithm Selection (via online optimization of piecewise Lipschitz functions)
  10. 10 Online Regret Guarantees Existing techniques (for finite, linear, or convex case) select
  11. 11 Summary and Discussion Data-driven algo design can overcome major shortcomings of classic design by adapting the algo to the domain at hand. Different methods work better in different settings Learn …

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