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Stochastic Graphical Bandits with Adversarial Corruptions

AAAI 2021 · Bandits and online learning › Multi-armed bandits · approach: Non-stationary and structured-reward bandits · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Elise instead of BARBARMAB with adversarially corrupted stochastic rewards · MAB experiments, K = 5 and K = 10cumulative regretHelped
Use Elise instead of UCBMAB with adversarially corrupted stochastic rewards · MAB experiments, K = 5 and K = 10cumulative regretHelped
Use Elise instead of Exp3-Setgraphical bandits with adversarially corrupted stochastic rewards · Graphical bandits experiments, p = 0.2 and p = 0.5cumulative regretHelped
Use Elise instead of AAE-AlphaSamplegraphical bandits with adversarially corrupted stochastic rewards · Graphical bandits experiments, p = 0.2 and p = 0.5cumulative regretHelped
Replace BARBAR's expected observation count with the actual observation count when estimating mean rewards (ablation)Elise · stochastic graphical bandits with adversarial corruptionsregret-bound validityHelped
Use Bernstein inequality instead of the multiplicative Chernoff-Hoeffding inequality in the regret analysis (ablation)Elise · stochastic graphical bandits with adversarial corruptionsleading constant in the regret bound: 1024 -> 273Helped
Use a smaller epoch-length constant (ablation)Elise · MAB experimentscumulative regretHelped
Restrict exploration to a carefully constructed independent set instead of the full arm setElise · stochastic graphical bandits with adversarial corruptionsregret: O(K ln K ln T + KC) -> O(α ln K ln T + αC)Helped

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