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Adaptive Feature Selection: Computationally Efficient Online Sparse Linear Regression under RIP

ICML 2017 · Bandits and online learning › Online convex optimization and games · approach: Online learning with feedback graphs · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Assume the feature matrix satisfies RIP and use randomized feature sampling with a bias-corrected Dantzig selectorOnline sparse linear regression in the realizable model · POSLR, realizableregret: \mathcal{O} \left( k^2 \log(d/\delta) (d/{k_0})^3 \log(T) \right)Helped
Assume bounded block restricted condition number and use online greedy feature selection with BEXP and VAWOnline sparse linear regression in the agnostic setting · POSLR, agnosticexpected regret: \tilde{O}((\frac{\kappa^8 dk^4}{{k_0}})^{1/3}T^{2/3})Helped

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