Introduces a geometry-based framework for comparison-oracle optimization, with O(d log(d/ε)) comparisons for normal direction estimation and Õ(d D²/ε²) comparisons to reach ε level-set optimality gap under regularity, convexity, and growth conditions.
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Function-free Optimization via Comparison Oracles
Introduces a geometry-based framework for comparison-oracle optimization, with O(d log(d/ε)) comparisons for normal direction estimation and Õ(d D²/ε²) comparisons to reach ε level-set optimality gap under regularity, convexity, and growth conditions.