| Presentation | 2023-03-01 Multiscale Manifold Clustering and Embedding with Multiple Kernels Kyohei Suzuki, Masahiro Yukawa, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper presents a clustering and embedding method to analyze data which lie on a union of multiple manifolds having different scales. The proposed method executes the following two processes alternately: (i) data are clustered by using bases of the manifolds, and (ii) the bases are updated based on the clustered data. To achieve this, the task is cast as maximization of the variance of data mapped to a subspace of the reproducing kernel Hilbert space that corresponds to the relevant manifold of each cluster. The optimization problem involves real-valued variables to construct the bases and binary variables to assign each datum to its corresponding cluster. Each set of variables is updated in an alternate fashion. For sake of scalability, we extend the domain of the binary variables to the whole Euclidean space under normalization subject to the orthonormality constraint. Despite the nonconvexity of the constraint, the problem in terms of each set of variables admits an analytic solution. The efficacy of the proposed algorithm is demonstrated by simulations using toy data. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | manifold clusteringmanifold learningmultiscale frameworkkernel methods |
| Paper # | EA2022-123,SIP2022-167,SP2022-87 |
| Date of Issue | 2023-02-21 (EA, SIP, SP) |
| Conference Information | |
| Committee | SP / IPSJ-SLP / EA / SIP |
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| Conference Date | 2023/2/28(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Tomoki Toda(Nagoya Univ.) / Tomoki Toda(Nagoya Univ.) / Kenichi Furuya(Oita Univ.) / Toshihisa Tanaka(Tokyo Univ. Agri.&Tech.) |
| Vice Chair | / / Tatsuya Kako(NTT) / Junki Ono(Tokyo Metropolitan Univ.) / Koichi Ichige(Yokohama National Univ.) / Takayuki Nakachi(Ryukyu Univ.) |
| Secretary | (NTT) / (Univ. of Electro-Comm.) / Tatsuya Kako(NTT) / Junki Ono(Univ. of Electro-Comm.) / Koichi Ichige(NTT) / Takayuki Nakachi(RitsumeikanUniv.) |
| Assistant | Ryo Aihara(Mitsubishi Electric) / Daisuke Saito(Univ. of Tokyo) / Ryo Aihara(Mitsubishi Electric) / Daisuke Saito(Univ. of Tokyo) / Masato Nakayama(Osaka Sangyo Univ.) / Kouhei Yatabe(Tuat) / Taichi Yoshida(UEC) / Shoko Imaizumi(Chiba Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Speech / Special Interest Group on Spoken Language Processing / Technical Committee on Engineering Acoustics / Technical Committee on Signal Processing |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Multiscale Manifold Clustering and Embedding with Multiple Kernels |
| Sub Title (in English) | |
| Keyword(1) | manifold clusteringmanifold learningmultiscale frameworkkernel methods |
| 1st Author's Name | Kyohei Suzuki |
| 1st Author's Affiliation | Keio University(Keio Univ.) |
| 2nd Author's Name | Masahiro Yukawa |
| 2nd Author's Affiliation | Keio University(Keio Univ.) |
| Date | 2023-03-01 |
| Paper # | EA2022-123,SIP2022-167,SP2022-87 |
| Volume (vol) | vol.122 |
| Number (no) | EA-387,SIP-388,SP-389 |
| Page | pp.pp.276-281(EA), pp.276-281(SIP), pp.276-281(SP), |
| #Pages | 6 |
| Date of Issue | 2023-02-21 (EA, SIP, SP) |