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"title": "Reproduction: Gradient Testing and Estimation by Comparisons",
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"slug": "claim-1-a-gradient-testing-algorithm-determines-whether-the-normalized-gradient-of-a-smooth-function-is-close-or-2-far-f",
"title": "Claim 1: A gradient testing algorithm determines whether the normalized gradient of a smooth function is ε-close or 2ε-far from a given unit vector using O(1) queries to a comparison oracle (abstract only).",
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{
"slug": "claim-2-a-gradient-estimation-algorithm-produces-an-accurate-estimate-of-the-normalized-gradient-using-o-n-log-1-compari",
"title": "Claim 2: A gradient estimation algorithm produces an ε-accurate estimate of the normalized gradient using O(n log(1/ε)) comparison queries, which is proven to be optimal (abstract only).",
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"slug": "claim-3-a-quantum-variant-using-a-quantum-comparison-oracle-with-superposition-achieves-gradient-estimation-in-o-log-n-q",
"title": "Claim 3: A quantum variant using a quantum comparison oracle with superposition achieves gradient estimation in O(log(n/ε)) queries (abstract only).",
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"slug": "claim-4-the-comparison-oracle-model-is-used-to-characterize-gradient-properties-of-smooth-functions-without-direct-acces",
"title": "Claim 4: The comparison-oracle model is used to characterize gradient properties of smooth functions without direct access to function values, relying only on pairwise comparative information (abstract only).",
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