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A Unifying Theory of Thompson Sampling for Continuous Risk-Averse Bandits

AAAI 2022 · Bandits and online learning › Contextual bandits and Thompson sampling · approach: Thompson sampling analysis · 12 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use continuous and dominant risk functionals with ρ-MTSMultinomial risk-averse bandits · Finite-alphabet banditsasymptotic risk regretHelped
Replace the slack mean-variance regret constant with the exact KL-based constantBernoulli-MVTS analysis · Bernoulli mean-variance banditsregret bound: inv{(2min{(p_1-p_i)^2, (1 - γ - p_1 - p_i)^2})} -> K_inf^ρ(ν_k,r_1)^{-1}Helped
Apply ρ-NPTS to continuous risk measures formed from linear combinationsρ-NPTS · Three-arm Beta bandits; ρ₁ and ρ₂risk regret relative to lower boundHelped
Use VaR, which is discontinuous under the stated metricρ-MTS guarantees · Finite-alphabet risk-averse banditsavailability of asymptotic regret guaranteeHurt

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