{"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/kernel-stein-tests-for-multiple-model","title":"Kernel Stein Tests for Multiple Model Comparison","arxiv_id":"1910.12252","date":"2019-10-27","proceeding":"NeurIPS 2019 12","authors":["Jen Ning Lim","Makoto Yamada","Bernhard Schölkopf","Wittawat Jitkrittum"],"abstract":"We address the problem of non-parametric multiple model comparison: given $l$ candidate models, decide whether each candidate is as good as the best one(s) or worse than it. We propose two statistical tests, each controlling a different notion of decision errors. The first test, building on the post selection inference framework, provably controls the number of best models that are wrongly declared worse (false positive rate). The second test is based on multiple correction, and controls the proportion of the models declared worse but are in fact as good as the best (false discovery rate). We prove that under appropriate conditions the first test can yield a higher true positive rate than the second. Experimental results on toy and real (CelebA, Chicago Crime data) problems show that the two tests have high true positive rates with well-controlled error rates. By contrast, the naive approach of choosing the model with the lowest score without correction leads to more false positives.","url_abs":"https://arxiv.org/abs/1910.12252v1","url_pdf":"https://arxiv.org/pdf/1910.12252v1.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":"kernel-stein-tests-for-multiple-model","repo_url":"https://github.com/jenninglim/model-comparison-test","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"tf","reach":{"status":"ok","spdx":"MIT"}},{"paper_slug":"kernel-stein-tests-for-multiple-model","repo_url":"https://github.com/jenninglim/multiscale-features","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok","spdx":"MIT"}},{"paper_slug":"kernel-stein-tests-for-multiple-model","repo_url":"https://github.com/wittawatj/model-comparison-test","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"tf","reach":{"status":"ok","spdx":"MIT"}}],"tasks":[{"task_slug":"model","task_name":"model"}],"methods":[{"method_slug":"test","method_name":"Test"}],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1910.12252","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"1910.12252"}},"developers":"https://syntology.ai/developers","read_at":"2026-09-24T18:15:14+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/jenninglim/multiscale-features","reach":{"status":"ok","spdx":"MIT"}},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/wittawatj/model-comparison-test","reach":{"status":"ok","spdx":"MIT"}},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/jenninglim/model-comparison-test","reach":{"status":"ok","spdx":"MIT"}}],"summary":{"unverified":18},"by_repo_kind":{"official":{"samples":10,"ran":0,"repositories":1},"listed":{"samples":8,"ran":0,"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":"1b3a3d7b7d6814fc","entry":"aic","repo":"jenninglim/multiscale-features","repo_kind":"listed","path":"mskernel/model.py","file_url":"https://github.com/jenninglim/multiscale-features/blob/HEAD/mskernel/model.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"1b3a3d7b7d6814fc"}},{"code_sha256_prefix":"42e85116f7e428e7","entry":"bh","repo":"jenninglim/multiscale-features","repo_kind":"listed","path":"mskernel/fdr.py","file_url":"https://github.com/jenninglim/multiscale-features/blob/HEAD/mskernel/fdr.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"42e85116f7e428e7"}},{"code_sha256_prefix":"8054f5435b4792ef","entry":"calculate_threshold","repo":"jenninglim/model-comparison-test","repo_kind":"official","path":"reltest/psi.py","file_url":"https://github.com/jenninglim/model-comparison-test/blob/HEAD/reltest/psi.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"8054f5435b4792ef"}},{"code_sha256_prefix":"67c8ee8affdf9826","entry":"compute_params","repo":"jenninglim/model-comparison-test","repo_kind":"official","path":"reltest/mctest.py","file_url":"https://github.com/jenninglim/model-comparison-test/blob/HEAD/reltest/mctest.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"67c8ee8affdf9826"}},{"code_sha256_prefix":"fa552989f21d8f4a","entry":"dist2_matrix","repo":"jenninglim/model-comparison-test","repo_kind":"official","path":"reltest/util.py","file_url":"https://github.com/jenninglim/model-comparison-test/blob/HEAD/reltest/util.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"fa552989f21d8f4a"}},{"code_sha256_prefix":"b682b7ee51bdc47b","entry":"dist_matrix","repo":"jenninglim/model-comparison-test","repo_kind":"official","path":"reltest/util.py","file_url":"https://github.com/jenninglim/model-comparison-test/blob/HEAD/reltest/util.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"b682b7ee51bdc47b"}},{"code_sha256_prefix":"b2b3e0b6a4eae24c","entry":"fisher","repo":"jenninglim/multiscale-features","repo_kind":"listed","path":"mskernel/fdr.py","file_url":"https://github.com/jenninglim/multiscale-features/blob/HEAD/mskernel/fdr.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"b2b3e0b6a4eae24c"}},{"code_sha256_prefix":"7cf1aa785fe7f442","entry":"get_cross_covariance","repo":"jenninglim/model-comparison-test","repo_kind":"official","path":"reltest/mmd.py","file_url":"https://github.com/jenninglim/model-comparison-test/blob/HEAD/reltest/mmd.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"7cf1aa785fe7f442"}},{"code_sha256_prefix":"a901cbc0db6e924f","entry":"hsic","repo":"jenninglim/multiscale-features","repo_kind":"listed","path":"mskernel/hsic.py","file_url":"https://github.com/jenninglim/multiscale-features/blob/HEAD/mskernel/hsic.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"a901cbc0db6e924f"}},{"code_sha256_prefix":"e4ac96914f0f8feb","entry":"meddistance","repo":"jenninglim/model-comparison-test","repo_kind":"official","path":"reltest/util.py","file_url":"https://github.com/jenninglim/model-comparison-test/blob/HEAD/reltest/util.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"e4ac96914f0f8feb"}},{"code_sha256_prefix":"accccac21ec9d78e","entry":"params_block","repo":"jenninglim/multiscale-features","repo_kind":"listed","path":"experiments/exp1c.py","file_url":"https://github.com/jenninglim/multiscale-features/blob/HEAD/experiments/exp1c.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"accccac21ec9d78e"}},{"code_sha256_prefix":"639648c5b9d04fb2","entry":"psi_inf","repo":"jenninglim/model-comparison-test","repo_kind":"official","path":"reltest/psi.py","file_url":"https://github.com/jenninglim/model-comparison-test/blob/HEAD/reltest/psi.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"639648c5b9d04fb2"}},{"code_sha256_prefix":"2b1235e0aab28903","entry":"region","repo":"jenninglim/multiscale-features","repo_kind":"listed","path":"mskernel/featsel.py","file_url":"https://github.com/jenninglim/multiscale-features/blob/HEAD/mskernel/featsel.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"2b1235e0aab28903"}},{"code_sha256_prefix":"dd44c79eec42dde6","entry":"rot2d_cov","repo":"jenninglim/model-comparison-test","repo_kind":"official","path":"reproduce-results/ex_models.py","file_url":"https://github.com/jenninglim/model-comparison-test/blob/HEAD/reproduce-results/ex_models.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"dd44c79eec42dde6"}},{"code_sha256_prefix":"59552ad60dbaa016","entry":"rot2d_matrix","repo":"jenninglim/model-comparison-test","repo_kind":"official","path":"reproduce-results/ex_models.py","file_url":"https://github.com/jenninglim/model-comparison-test/blob/HEAD/reproduce-results/ex_models.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"59552ad60dbaa016"}},{"code_sha256_prefix":"6af490234c52e764","entry":"select","repo":"jenninglim/multiscale-features","repo_kind":"listed","path":"mskernel/featsel.py","file_url":"https://github.com/jenninglim/multiscale-features/blob/HEAD/mskernel/featsel.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"6af490234c52e764"}},{"code_sha256_prefix":"8d68f0dd8c6c203b","entry":"selection","repo":"jenninglim/model-comparison-test","repo_kind":"official","path":"reltest/psi.py","file_url":"https://github.com/jenninglim/model-comparison-test/blob/HEAD/reltest/psi.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"8d68f0dd8c6c203b"}},{"code_sha256_prefix":"8e56a9a8c3f6bdf3","entry":"sse","repo":"jenninglim/multiscale-features","repo_kind":"listed","path":"mskernel/model.py","file_url":"https://github.com/jenninglim/multiscale-features/blob/HEAD/mskernel/model.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"8e56a9a8c3f6bdf3"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}