Parameter-free algorithms for unconstrained online learning achieve regret bounds of order O(||u|| sqrt(V_T(u)) + L||u||^2 + G^4) for L-smooth convex losses without prior knowledge of ||u||, L or G, with extensions to dynamic regret and the SEA model.
Online convex programming and generalized infinitesimal gradient ascent
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Gradient-Variation Regret Bounds for Unconstrained Online Learning
Parameter-free algorithms for unconstrained online learning achieve regret bounds of order O(||u|| sqrt(V_T(u)) + L||u||^2 + G^4) for L-smooth convex losses without prior knowledge of ||u||, L or G, with extensions to dynamic regret and the SEA model.