{"scopus_import":"1","date_updated":"2024-12-12T14:08:46Z","type":"journal_article","date_created":"2024-10-15T11:20:55Z","publication_identifier":{"eissn":["1939-3539"],"issn":["0162-8828"]},"page":"2505-2517","author":[{"full_name":"Eynard, Davide","first_name":"Davide","last_name":"Eynard"},{"full_name":"Kovnatsky, Artiom","first_name":"Artiom","last_name":"Kovnatsky"},{"first_name":"Michael M.","full_name":"Bronstein, Michael M.","last_name":"Bronstein"},{"full_name":"Glashoff, Klaus","first_name":"Klaus","last_name":"Glashoff"},{"id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","last_name":"Bronstein","first_name":"Alexander","orcid":"0000-0001-9699-8730","full_name":"Bronstein, Alexander"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","oa_version":"None","issue":"12","article_processing_charge":"No","citation":{"chicago":"Eynard, Davide, Artiom Kovnatsky, Michael M. Bronstein, Klaus Glashoff, and Alex M. Bronstein. “Multimodal Manifold Snalysis by Simultaneous Diagonalization of Laplacians.” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>. IEEE, 2015. <a href=\"https://doi.org/10.1109/tpami.2015.2408348\">https://doi.org/10.1109/tpami.2015.2408348</a>.","apa":"Eynard, D., Kovnatsky, A., Bronstein, M. M., Glashoff, K., &#38; Bronstein, A. M. (2015). Multimodal manifold snalysis by simultaneous diagonalization of Laplacians. <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>. IEEE. <a href=\"https://doi.org/10.1109/tpami.2015.2408348\">https://doi.org/10.1109/tpami.2015.2408348</a>","mla":"Eynard, Davide, et al. “Multimodal Manifold Snalysis by Simultaneous Diagonalization of Laplacians.” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>, vol. 37, no. 12, IEEE, 2015, pp. 2505–17, doi:<a href=\"https://doi.org/10.1109/tpami.2015.2408348\">10.1109/tpami.2015.2408348</a>.","ama":"Eynard D, Kovnatsky A, Bronstein MM, Glashoff K, Bronstein AM. Multimodal manifold snalysis by simultaneous diagonalization of Laplacians. <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>. 2015;37(12):2505-2517. doi:<a href=\"https://doi.org/10.1109/tpami.2015.2408348\">10.1109/tpami.2015.2408348</a>","ieee":"D. Eynard, A. Kovnatsky, M. M. Bronstein, K. Glashoff, and A. M. Bronstein, “Multimodal manifold snalysis by simultaneous diagonalization of Laplacians,” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>, vol. 37, no. 12. IEEE, pp. 2505–2517, 2015.","short":"D. Eynard, A. Kovnatsky, M.M. Bronstein, K. Glashoff, A.M. Bronstein, IEEE Transactions on Pattern Analysis and Machine Intelligence 37 (2015) 2505–2517.","ista":"Eynard D, Kovnatsky A, Bronstein MM, Glashoff K, Bronstein AM. 2015. Multimodal manifold snalysis by simultaneous diagonalization of Laplacians. IEEE Transactions on Pattern Analysis and Machine Intelligence. 37(12), 2505–2517."},"_id":"18416","month":"12","extern":"1","doi":"10.1109/tpami.2015.2408348","volume":37,"year":"2015","external_id":{"pmid":["26539854"]},"pmid":1,"publication":"IEEE Transactions on Pattern Analysis and Machine Intelligence","publication_status":"published","language":[{"iso":"eng"}],"publisher":"IEEE","title":"Multimodal manifold snalysis by simultaneous diagonalization of Laplacians","date_published":"2015-12-01T00:00:00Z","abstract":[{"text":"We construct an extension of spectral and diffusion geometry to multiple modalities through simultaneous diagonalization of Laplacian matrices. This naturally extends classical data analysis tools based on spectral geometry, such as diffusion maps and spectral clustering. We provide several synthetic and real examples of manifold learning, object classification, and clustering, showing that the joint spectral geometry better captures the inherent structure of multi-modal data. We also show the relation of many previous approaches for multimodal manifold analysis to our framework.","lang":"eng"}],"quality_controlled":"1","intvolume":"        37","day":"01","status":"public"}