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An Efficient Pessimistic-Optimistic Algorithm for Stochastic Linear Bandits with General Constraints

NeurIPS 2021 · Bandits and online learning › Contextual bandits and Thompson sampling · approach: Linear and generalized linear bandits · 17 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use LinUCB reward estimates with dual variables updated from observed costsStochastic linear bandits with general anytime cumulative constraints · Theoretical analysisregretHelped
Use pessimistic dual updates with a time-varying tightness parameterStochastic linear bandits with general anytime cumulative constraints · Theoretical analysisconstraint violationHelped
Use a primal-dual algorithm whose dual update scales with the number of constraintsPessimistic-Optimistic Algorithm · Computational complexitycomputational efficiencyHelped
Use the proposed algorithm instead of OPAConstrained MAB example · Constrained MABregretHelped
Use the proposed algorithm for inpatient flow routingInpatient flow routing · Capacity, fairness, and resource constraintsconstraint violationHelped
Use the proposed algorithm for inpatient flow routingInpatient flow routing · Capacity, fairness, and resource constraintsrounds until zero constraint violation: capacity, fairness and resource constraints are (32,50,54)Helped

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