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FairPlay Team, CREST, ENSAE, Institut Polytechnique de Paris
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Achieving optimal competitive ratios in prophet inequalities without relying on offline samples could revolutionize online learning strategies.
Even with noisy reward observations and unknown reward distributions, near-optimal online decision-making is possible using LCB thresholding, achieving competitive ratios of $1 - 1/e$ and $1/2$ in i.i.d. and non-i.i.d. settings, respectively.