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1122 · Jun 202519922001200920172026
4 results for Vovk-Azoury-Warmuth

Optimal online linear regression in dynamic environments using discounted Vovk-Azoury-Warmuth forecaster.

problem Achieving optimal performance in dynamic online linear regression without prior knowledge.
method Developed a discounted variant of the Vovk-Azoury-Warmuth forecaster to achieve optimal dynamic regret guarantees.
result Achieved dynamic regret of the form $O\left(d\log(T)\vee \sqrt{dP_{T}^γ(\vec{u})T} ight)$, with a learnable discount factor.

New algorithm reduces online regression error in RKHS.

problem Online regression with time-varying functions in RKHS.
method Hierarchical Vovk-Azoury-Warmuth with discounting.
result Achieves optimal dynamic regret with O(T2/3PT1/3+TlnT)O(T^{2/3}P_T^{1/3} + \sqrt{T}\ln T) regret bound.

Improved online convex optimization with delayed feedback using curvature.

problem Online convex optimization with curved losses and delayed feedback.
method Variant of follow-the-regularized-leader and Online Newton Step algorithm with adaptive learning rate.
result Regret bounds of order min{σmaxlnT,dtot}\min\{σ_{\max}\ln T, \sqrt{d_{\mathrm{tot}}}\} for exp-concave losses.