{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/an-adaptive-test-of-independence-with","title":"An Adaptive Test of Independence with Analytic Kernel Embeddings","arxiv_id":"1610.04782","date":"2016-10-15","proceeding":"ICML 2017 8","authors":["Wittawat Jitkrittum","Zoltan Szabo","Arthur Gretton"],"abstract":"A new computationally efficient dependence measure, and an adaptive\nstatistical test of independence, are proposed. The dependence measure is the\ndifference between analytic embeddings of the joint distribution and the\nproduct of the marginals, evaluated at a finite set of locations (features).\nThese features are chosen so as to maximize a lower bound on the test power,\nresulting in a test that is data-efficient, and that runs in linear time (with\nrespect to the sample size n). The optimized features can be interpreted as\nevidence to reject the null hypothesis, indicating regions in the joint domain\nwhere the joint distribution and the product of the marginals differ most.\nConsistency of the independence test is established, for an appropriate choice\nof features. In real-world benchmarks, independence tests using the optimized\nfeatures perform comparably to the state-of-the-art quadratic-time HSIC test,\nand outperform competing O(n) and O(n log n) tests.","url_abs":"http://arxiv.org/abs/1610.04782v1","url_pdf":"http://arxiv.org/pdf/1610.04782v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"an-adaptive-test-of-independence-with","repo_url":"https://github.com/wittawatj/fsic-test","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":"https://syntology.ai/paper/1610.04782","atlas_url":"https://app.syntology.ai/?focus=1610.04782","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"1610.04782"}},"developers":"https://syntology.ai/developers","read_at":"2026-09-25T09:33:49+00:00","read_at_is":"when the build read Syntology's graph, not when any sample ran","claim":"Per-sample execution status on synthesized fixtures; not a correctness claim about the paper. Samples come from repositories linked to the paper, official or community; repo_kind says which.","repos":[{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/wittawatj/fsic-test","reach":null}],"summary":{"ran_fixture":1,"ran_draft_wrong":1},"by_repo_kind":{"official":{"samples":2,"ran":2,"repositories":1}},"repo_kind_vocabulary":{"official":"The archive marks this repository official for the paper","named_in_paper":"The archive records that the paper mentions this repository; it is not marked official","listed":"In the archive's code links for this paper, not marked official and not recorded as mentioned in the paper","found_in_text":"Syntology found this repository in the paper's own text; whether it is the authors' implementation is not asserted","community":"Not in the archive's code links for this paper; a community repository Syntology harvested"},"n_pointer_only_for_licence":0,"samples":[{"code_sha256_prefix":"1041d2f52af97e4d","entry":"nfsic_from_u_sig","repo":"wittawatj/fsic-test","repo_kind":"official","path":"fsic/indtest.py","file_url":"https://github.com/wittawatj/fsic-test/blob/HEAD/fsic/indtest.py","link_basis":"first_harvest_node","language":"python","status":"ran_fixture","verification_level":1,"contract_check":"RAISES","metamorphic_tier":"invariant","behaviour_fingerprint":true,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"1041d2f52af97e4d"}},{"code_sha256_prefix":"a5ff634a487daaac","entry":"nfsic_grid_search_kernel","repo":"wittawatj/fsic-test","repo_kind":"official","path":"fsic/indtest.py","file_url":"https://github.com/wittawatj/fsic-test/blob/HEAD/fsic/indtest.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"a5ff634a487daaac"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}