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| "schema_version": 2, | |
| "title": "Reproduction: Gradient Testing and Estimation by Comparisons", | |
| "emoji": "🎯", | |
| "space_id": "algorise/repro-gradient-testing-and-estimation-by-comparisons", | |
| "paper": { | |
| "arxiv_id": "2405.11454" | |
| }, | |
| "tags": [ | |
| "icml2026-repro", | |
| "paper-1JG0y5cOmK" | |
| ], | |
| "updated_at": "2026-07-23T10:15:31+00:00", | |
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| "slug": "index", | |
| "title": "Reproduction: Gradient Testing and Estimation by Comparisons", | |
| "file": "pages/index.md", | |
| "children": [ | |
| { | |
| "slug": "executive-summary", | |
| "title": "Executive summary", | |
| "file": "pages/executive-summary/page.md", | |
| "children": [] | |
| }, | |
| { | |
| "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).", | |
| "file": "pages/claim-1-a-gradient-testing-algorithm-determines-whether-the-normalized-gradient-of-a-smooth-function-is-close-or-2-far-f/page.md", | |
| "children": [] | |
| }, | |
| { | |
| "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).", | |
| "file": "pages/claim-2-a-gradient-estimation-algorithm-produces-an-accurate-estimate-of-the-normalized-gradient-using-o-n-log-1-compari/page.md", | |
| "children": [] | |
| }, | |
| { | |
| "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).", | |
| "file": "pages/claim-3-a-quantum-variant-using-a-quantum-comparison-oracle-with-superposition-achieves-gradient-estimation-in-o-log-n-q/page.md", | |
| "children": [] | |
| }, | |
| { | |
| "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).", | |
| "file": "pages/claim-4-the-comparison-oracle-model-is-used-to-characterize-gradient-properties-of-smooth-functions-without-direct-acces/page.md", | |
| "children": [] | |
| }, | |
| { | |
| "slug": "conclusion", | |
| "title": "Conclusion", | |
| "file": "pages/conclusion/page.md", | |
| "children": [] | |
| } | |
| ] | |
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