| Presentation | 2021-03-02 Selective Inference for Convex Clustering Using Parametric Programming Yumehiro Omori, Yu Inatsu, Ichiro Takeuchi, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Traditional statistical inference assumes that the hypothesis is predetermined and cannot be used as is for statistical inference of the data-driven hypothesis selected by data analysis. In recent years, an approach called Selective Inference has attracted attention as a statistical inference method for data-driven hypotheses. In this study, we propose a selective inference method using parametric programming for convex clustering. Through artificial data experiments，we show that it is possible to control the false positive rate at any significance level, and that the proposed method is more powerful than the conventional selective inference method using the polyhedral approach. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Selective Inference / Convex Clustering / Parametric Programming |
| Paper # | IBISML2020-35 |
| Date of Issue | 2021-02-23 (IBISML) |
| Conference Information | |
| Committee | IBISML |
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| Conference Date | 2021/3/2(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Organized and general sessions on machine learning |
| Chair | Ichiro Takeuchi(Nagoya Inst. of Tech.) |
| Vice Chair | Masashi Sugiyama(Univ. of Tokyo) / Koji Tsuda(Univ. of Tokyo) |
| Secretary | Masashi Sugiyama(AIST) / Koji Tsuda(NTT) |
| Assistant | Atsuyoshi Nakamura(Hokkaido Univ.) / Shigeyuki Oba(Miidas) |
| Paper Information | |
| Registration To | Technical Committee on Infomation-Based Induction Sciences and Machine Learning |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Selective Inference for Convex Clustering Using Parametric Programming |
| Sub Title (in English) | |
| Keyword(1) | Selective Inference |
| Keyword(2) | Convex Clustering |
| Keyword(3) | Parametric Programming |
| 1st Author's Name | Yumehiro Omori |
| 1st Author's Affiliation | Nagoya Institute of Technology(Nitech) |
| 2nd Author's Name | Yu Inatsu |
| 2nd Author's Affiliation | Nagoya Institute of Technology(Nitech) |
| 3rd Author's Name | Ichiro Takeuchi |
| 3rd Author's Affiliation | Nagoya Institute of Technology/RIKEN(Nitech/RIKEN) |
| Date | 2021-03-02 |
| Paper # | IBISML2020-35 |
| Volume (vol) | vol.120 |
| Number (no) | IBISML-395 |
| Page | pp.pp.9-15(IBISML), |
| #Pages | 7 |
| Date of Issue | 2021-02-23 (IBISML) |