Research map / Bandits and online learning / Online convex optimization and games
A Lyapunov-Based Methodology for Constrained Optimization with Bandit Feedback
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use empirical drift-plus-penalty estimates with confidence-bound exploration under bandit feedback | Constrained bandit problem · Constrained bandit problem (theoretical) | regret: O(\sqrt{K B \log B}) | Helped |
| Use empirical drift-plus-penalty estimates with confidence-bound exploration under bandit feedback | Constrained bandit problem · Constrained bandit problem (theoretical) | constraint-violation: O(\frac{-1}{\sqrt{B}}) | Helped |
| Use known first-order statistics instead of learning them online | LyOff · Constrained bandit problem (theoretical) | regret: O(\sqrt{B}) | Helped |
| Use known first-order statistics instead of learning them online | LyOff · Constrained bandit problem (theoretical) | constraint-violation: O( \frac{-1}{\sqrt{B}} ) | Helped |
| Use the optimal stationary randomized policy as a static benchmark | Constrained bandit problem · Constrained bandit problem (theoretical) | regret: O(1) | Helped |
| Use the optimal stationary randomized policy as a static benchmark | Constrained bandit problem · Constrained bandit problem (theoretical) | constraint-violation: O(\frac{1}{B}) | Helped |
| Use LyOn rather than the optimal stationary randomized policy | K=2 Bernoulli-arm simulation · K=2 Bernoulli-arm simulation | reward rate | No clear effect |
| Use LyOn rather than the optimal stationary randomized policy | K=2 Bernoulli-arm simulation · K=2 Bernoulli-arm simulation | constraint-violation: \Tilde{O}(1/B) | Helped |
| Increase V and tune δ as specified for sufficiently large budgets (ablation) | LyOn · Constrained bandit problem (theoretical) | constraint-violation: O(\frac{-1}{\sqrt{B}}) | Helped |
| Increase V and tune δ as specified for sufficiently large budgets (ablation) | LyOn · Constrained bandit problem (theoretical) | regret: O(\sqrt{K B\log B}) | Mixed |
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