{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,19]],"date-time":"2026-08-19T20:13:59Z","timestamp":1787170439072,"version":"build-2736575974"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T00:00:00Z","timestamp":1759104000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T00:00:00Z","timestamp":1759104000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"University of Information Technology, Vietnam National University, Ho Chi Minh City"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Stat Comput"],"published-print":{"date-parts":[[2025,12]]},"DOI":"10.1007\/s11222-025-10738-z","type":"journal-article","created":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T19:57:25Z","timestamp":1759175845000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Post-transfer learning statistical inference in high-dimensional regression"],"prefix":"10.1007","volume":"35","author":[{"given":"Nguyen Vu Khai","family":"Tam","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Cao Huyen","family":"My","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vo Nguyen","family":"Le Duy","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2025,9,29]]},"reference":[{"key":"10738_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1017\/S0962492900002336","volume":"2","author":"EL Allgower","year":"1993","unstructured":"Allgower, E.L., George, K.: Continuation and path following. Acta Numer 2, 1\u201363 (1993)","journal-title":"Acta Numer"},{"key":"10738_CR2","doi-asserted-by":"crossref","unstructured":"Best, M.J.: An algorithm for the solution of the parametric quadratic programming problem. Applied Mathematics and Parallel Computing, 57\u201376 (1996)","DOI":"10.1007\/978-3-642-99789-1_5"},{"key":"10738_CR3","unstructured":"Duy, V.N.L., Lin, H.-T., Takeuchi, I.: Cad-da: Controllable anomaly detection after domain adaptation by statistical inference. In: International Conference on Artificial Intelligence and Statistics, pp. 1828\u20131836 (2024). PMLR"},{"issue":"1","key":"10738_CR4","first-page":"13544","volume":"23","author":"VNL Duy","year":"2022","unstructured":"Duy, V.N.L., Takeuchi, I.: More powerful conditional selective inference for generalized lasso by parametric programming. The Journal of Machine Learning Research 23(1), 13544\u201313580 (2022)","journal-title":"The Journal of Machine Learning Research"},{"key":"10738_CR5","doi-asserted-by":"crossref","unstructured":"Efron, B., Hastie, T., Johnstone, I., Tibshirani, R.: Least angle regression (2004)","DOI":"10.1214\/009053604000000067"},{"issue":"456","key":"10738_CR6","doi-asserted-by":"publisher","first-page":"1348","DOI":"10.1198\/016214501753382273","volume":"96","author":"J Fan","year":"2001","unstructured":"Fan, J., Li, R.: Variable selection via nonconcave penalized likelihood and its oracle properties. J. Am. Stat. Assoc. 96(456), 1348\u20131360 (2001)","journal-title":"J. Am. Stat. Assoc."},{"key":"10738_CR7","unstructured":"Fithian, W., Sun, D., Taylor, J.: Optimal inference after model selection. arXiv preprint arXiv:1410.2597 (2014)"},{"key":"10738_CR8","doi-asserted-by":"crossref","unstructured":"Gal, T.: Postoptimal analysis, parametric programming, and related topics (1995)","DOI":"10.1515\/9783110871203"},{"key":"10738_CR9","first-page":"1391","volume":"5","author":"T Hastie","year":"2004","unstructured":"Hastie, T., Rosset, S., Tibshirani, R., Zhu, J.: The entire regularization path for the support vector machine. J. Mach. Learn. Res. 5, 1391\u20131415 (2004)","journal-title":"J. Mach. Learn. Res."},{"key":"10738_CR10","unstructured":"He, Z., Sun, Y., Li, R.: Transfusion: Covariate-shift robust transfer learning for high-dimensional regression. In: International Conference on Artificial Intelligence and Statistics, pp. 703\u2013711 (2024). PMLR"},{"key":"10738_CR11","unstructured":"Le\u00a0Duy, V.N., Takeuchi, I.: Parametric programming approach for more powerful and general lasso selective inference. In: International Conference on Artificial Intelligence and Statistics, pp. 901\u2013909 (2021). PMLR"},{"issue":"3","key":"10738_CR12","doi-asserted-by":"publisher","first-page":"907","DOI":"10.1214\/15-AOS1371","volume":"44","author":"JD Lee","year":"2016","unstructured":"Lee, J.D., Sun, D.L., Sun, Y., Taylor, J.E., et al.: Exact post-selection inference, with application to the lasso. Ann. Stat. 44(3), 907\u2013927 (2016)","journal-title":"Ann. Stat."},{"key":"10738_CR13","doi-asserted-by":"crossref","unstructured":"Li, S., Cai, T.T., Li, H.: Transfer learning for high-dimensional linear regression: prediction, estimation and minimax optimality. J. R. Stat. Soc. Ser. B Stat Methodol. 84(1), 149\u2013173 (2022)","DOI":"10.1111\/rssb.12479"},{"key":"10738_CR14","unstructured":"Liu, K., Markovic, J., Tibshirani, R.: More powerful post-selection inference, with application to the lasso. arXiv preprint arXiv:1801.09037 (2018)"},{"key":"10738_CR15","unstructured":"Liu, S.S.: Unified transfer learning in high-dimensional linear regression. In: Proceedings of The 27th International Conference on Artificial Intelligence and Statistics, vol. 238, pp. 1036\u20131044 (2024). PMLR"},{"key":"10738_CR16","unstructured":"Loftus, J.R., Taylor, J.E.: A significance test for forward stepwise model selection. arXiv preprint arXiv:1405.3920 (2014)"},{"key":"10738_CR17","unstructured":"Loi, N.T., Loc, D.T., Duy, V.N.L.: Statistical inference for feature selection after optimal transport-based domain adaptation. arXiv preprint arXiv:2410.15022 (2024)"},{"key":"10738_CR18","unstructured":"Mairal, J., Yu, B.: Complexity analysis of the lasso regularization path. arXiv preprint arXiv:1205.0079 (2012)"},{"key":"10738_CR19","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/1471-2105-12-44","volume":"12","author":"S Mei","year":"2011","unstructured":"Mei, S., Fei, W., Zhou, S.: Gene ontology based transfer learning for protein subcellular localization. BMC Bioinformatics 12, 1\u201312 (2011)","journal-title":"BMC Bioinformatics"},{"issue":"3","key":"10738_CR20","doi-asserted-by":"publisher","first-page":"389","DOI":"10.1093\/imanum\/20.3.389","volume":"20","author":"MR Osborne","year":"2000","unstructured":"Osborne, M.R., Presnell, B., Turlach, B.A.: A new approach to variable selection in least squares problems. IMA J. Numer. Anal. 20(3), 389\u2013403 (2000)","journal-title":"IMA J. Numer. Anal."},{"key":"10738_CR21","doi-asserted-by":"crossref","unstructured":"Reid, S., Tibshirani, R., Friedman, J.: A study of error variance estimation in lasso regression. Statistica Sinica, 35\u201367 (2016)","DOI":"10.5705\/ss.2014.042"},{"key":"10738_CR22","unstructured":"Ritter, K.: On parametric linear and quadratic programming problems. mathematical Programming: Proceedings of the International Congress on Mathematical Programming, 307\u2013335 (1984)"},{"issue":"5","key":"10738_CR23","doi-asserted-by":"publisher","first-page":"1285","DOI":"10.1109\/TMI.2016.2528162","volume":"35","author":"H-C Shin","year":"2016","unstructured":"Shin, H.-C., Roth, H.R., Gao, M., Lu, L., Xu, Z., Nogues, I., Yao, J., Mollura, D., Summers, R.M.: Deep convolutional neural networks for computer-aided detection: cnn architectures, dataset characteristics and transfer learning. IEEE Trans. Med. Imaging 35(5), 1285\u20131298 (2016)","journal-title":"IEEE Trans. Med. Imaging"},{"key":"10738_CR24","unstructured":"Sugiyama, K., Le\u00a0Duy, V.N., Takeuchi, I.: More powerful and general selective inference for stepwise feature selection using homotopy method. In: International Conference on Machine Learning, pp. 9891\u20139901 (2021). PMLR"},{"key":"10738_CR25","unstructured":"Suzumura, S., Nakagawa, K., Umezu, Y., Tsuda, K., Takeuchi, I.: Selective inference for sparse high-order interaction models. In: Proceedings of the 34th International Conference on Machine Learning-Volume 70, pp. 3338\u20133347 (2017). JMLR. org"},{"issue":"544","key":"10738_CR26","doi-asserted-by":"publisher","first-page":"2684","DOI":"10.1080\/01621459.2022.2071278","volume":"118","author":"Y Tian","year":"2023","unstructured":"Tian, Y., Feng, Y.: Transfer learning under high-dimensional generalized linear models. J. Am. Stat. Assoc. 118(544), 2684\u20132697 (2023)","journal-title":"J. Am. Stat. Assoc."},{"issue":"514","key":"10738_CR27","doi-asserted-by":"publisher","first-page":"600","DOI":"10.1080\/01621459.2015.1108848","volume":"111","author":"RJ Tibshirani","year":"2016","unstructured":"Tibshirani, R.J., Taylor, J., Lockhart, R., Tibshirani, R.: Exact post-selection inference for sequential regression procedures. J. Am. Stat. Assoc. 111(514), 600\u2013620 (2016)","journal-title":"J. Am. Stat. Assoc."},{"key":"10738_CR28","unstructured":"Yang, F., Barber, R.F., Jain, P., Lafferty, J.: Selective inference for group-sparse linear models. In: Advances in Neural Information Processing Systems, pp. 2469\u20132477 (2016)"},{"key":"10738_CR29","doi-asserted-by":"publisher","first-page":"52","DOI":"10.1016\/j.jspi.2016.01.011","volume":"174","author":"Y Yang","year":"2016","unstructured":"Yang, Y., Wu, L.: Nonnegative adaptive lasso for ultra-high dimensional regression models and a two-stage method applied in financial modeling. Journal of Statistical Planning and Inference 174, 52\u201367 (2016)","journal-title":"Journal of Statistical Planning and Inference"},{"issue":"2","key":"10738_CR30","doi-asserted-by":"publisher","first-page":"894","DOI":"10.1214\/09-AOS729","volume":"38","author":"C-H Zhang","year":"2010","unstructured":"Zhang, C.-H.: Nearly unbiased variable selection under minimax concave penalty. Ann. Stat. 38(2), 894\u2013942 (2010)","journal-title":"Ann. Stat."}],"container-title":["Statistics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-025-10738-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11222-025-10738-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-025-10738-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T07:17:58Z","timestamp":1762327078000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11222-025-10738-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,29]]},"references-count":30,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2025,12]]}},"alternative-id":["10738"],"URL":"https:\/\/doi.org\/10.1007\/s11222-025-10738-z","relation":{},"ISSN":["0960-3174","1573-1375"],"issn-type":[{"value":"0960-3174","type":"print"},{"value":"1573-1375","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,9,29]]},"assertion":[{"value":"25 April 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 September 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 September 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"205"}}