{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,11]],"date-time":"2025-06-11T04:13:03Z","timestamp":1749615183221,"version":"3.41.0"},"publisher-location":"Cham","reference-count":32,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319464534"},{"type":"electronic","value":"9783319464541"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-46454-1_43","type":"book-chapter","created":{"date-parts":[[2016,9,15]],"date-time":"2016-09-15T09:15:09Z","timestamp":1473930909000},"page":"713-729","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Semi-supervised Learning Based on Joint Diffusion of Graph Functions and Laplacians"],"prefix":"10.1007","author":[{"given":"Kwang In","family":"Kim","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,9,16]]},"reference":[{"key":"43_CR1","unstructured":"Zhou, D., Bousquet, O., Lal, T.N., Weston, J., Sch\u00f6lkopf, B.: Learning with local and global consistency. In: NIPS, pp. 321\u2013328 (2003)"},{"key":"43_CR2","doi-asserted-by":"crossref","unstructured":"Kim, K.I., Tompkin, J., Pfister, H., Theobalt, C.: Context-guided diffusion for label propagation on graphs. In: Proceedings of the IEEE ICCV, pp. 2776\u20132784 (2015)","DOI":"10.1109\/ICCV.2015.318"},{"key":"43_CR3","first-page":"1325","volume":"8","author":"M Hein","year":"2007","unstructured":"Hein, M., Audibert, J.Y., von Luxburg, U.: Graph Laplacians and their convergence on random neighborhood graphs. JMLR 8, 1325\u20131368 (2007)","journal-title":"JMLR"},{"issue":"8","key":"43_CR4","doi-asserted-by":"publisher","first-page":"1289","DOI":"10.1016\/j.jcss.2007.08.006","volume":"74","author":"M Belkin","year":"2005","unstructured":"Belkin, M., Niyogi, P.: Towards a theoretical foundation for Laplacian-based manifold methods. J. Comput. Syst. Sci. 74(8), 1289\u20131308 (2005)","journal-title":"J. Comput. Syst. Sci."},{"key":"43_CR5","series-title":"ECMI Series","volume-title":"Anisotropic Diffusion in Image Processing","author":"J Weickert","year":"1998","unstructured":"Weickert, J.: Anisotropic Diffusion in Image Processing. ECMI Series. Teubner-Verlag, Stuttgart (1998)"},{"key":"43_CR6","doi-asserted-by":"crossref","unstructured":"Clarenz, U., Diewald, U., Rumpf, M.: Anisotropic geometric diffusion in surface processing. In: Proceedings of the Visualization, pp. 397\u2013405 (2000)","DOI":"10.1109\/VISUAL.2000.885721"},{"key":"43_CR7","first-page":"1711","volume":"9","author":"AD Szlam","year":"2008","unstructured":"Szlam, A.D., Maggioni, M., Coifman, R.R.: Regularization on graphs with function-adapted diffusion processes. JMLR 9, 1711\u20131739 (2008)","journal-title":"JMLR"},{"key":"43_CR8","doi-asserted-by":"crossref","unstructured":"Tschumperl\u00e9, D., Deriche, R.: Diffusion tensor regularization with constraints preservation. In: Proceedings of the IEEE CVPR, pp. I948\u2013I953 (2001)","DOI":"10.1109\/CVPR.2001.990631"},{"issue":"2","key":"43_CR9","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1016\/j.sigpro.2006.02.049","volume":"87","author":"CA Casta\u00f1o-Moraga","year":"2007","unstructured":"Casta\u00f1o-Moraga, C.A., Lenglet, C., Deriche, R., Ruiz-Alzola, J.: A Riemannian approach to anisotropic filtering of tensor fields. Sig. Process. 87(2), 263\u2013276 (2007)","journal-title":"Sig. Process."},{"issue":"8","key":"43_CR10","doi-asserted-by":"publisher","first-page":"1067","DOI":"10.1002\/cpa.21395","volume":"65","author":"A Singer","year":"2012","unstructured":"Singer, A., Wu, H.T.: Vector diffusion maps and the connection Laplacian. Commun. Pure Appl. Math. 65(8), 1067\u20131144 (2012)","journal-title":"Commun. Pure Appl. Math."},{"key":"43_CR11","unstructured":"Zhang, T., Ando, R.: Analysis of spectral kernel design based semi-supervised learning. In: NIPS, pp. 1601\u20131608 (2006)"},{"issue":"1","key":"43_CR12","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1109\/TIT.2007.911294","volume":"54","author":"R Johnson","year":"2008","unstructured":"Johnson, R., Zhang, T.: Graph-based semi-supervised learning and spectral kernel design. IEEE Trans. Inf. Theor. 54(1), 275\u2013288 (2008)","journal-title":"IEEE Trans. Inf. Theor."},{"key":"43_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"272","DOI":"10.1007\/978-3-642-33718-5_20","volume-title":"Computer Vision \u2013 ECCV 2012","author":"KI Kim","year":"2012","unstructured":"Kim, K.I., Tompkin, J., Theobald, M., Kautz, J., Theobalt, C.: Match graph construction for large image databases. In: Fitzgibbon, A., Lazebnik, S., Perona, P., Sato, Y., Schmid, C. (eds.) ECCV 2012. LNCS, vol. 7572, pp. 272\u2013285. Springer, Heidelberg (2012). doi: 10.1007\/978-3-642-33718-5_20"},{"key":"43_CR14","doi-asserted-by":"crossref","unstructured":"Szummer, M., Yilmaz, E.: Semi-supervised learning to rank with preference regularization. In: Proceedings of the ACM CIKM, pp. 269\u2013278 (2011)","DOI":"10.1145\/2063576.2063620"},{"key":"43_CR15","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1016\/0024-3795(93)00068-B","volume":"214","author":"MKH Fan","year":"1995","unstructured":"Fan, M.K.H., Nekooie, B.: On minimizing the largest eigenvalue of a symmetric matrix. Linear Algebra Appl. 214, 225\u2013246 (1995)","journal-title":"Linear Algebra Appl."},{"issue":"6","key":"43_CR16","doi-asserted-by":"publisher","first-page":"2215","DOI":"10.1080\/00207178908559769","volume":"49","author":"S Boyd","year":"1989","unstructured":"Boyd, S., Yang, Q.: Structured and simultaneous Lyapunov functions for system stability problems. Int. J. Control 49(6), 2215\u20132240 (1989)","journal-title":"Int. J. Control"},{"key":"43_CR17","unstructured":"Hein, M.: Geometrical Aspects of Statistical Learning Theory. Ph.d. thesis, Fachbereich Informatik, Technische Universit\u00e4t Darmstadt, Germany (2005)"},{"issue":"1","key":"43_CR18","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1016\/j.acha.2006.04.006","volume":"21","author":"RR Coifman","year":"2006","unstructured":"Coifman, R.R., Lafon, S.: Diffusion maps. Appl. Comput. Harmonic Anal. 21(1), 5\u201330 (2006)","journal-title":"Appl. Comput. Harmonic Anal."},{"key":"43_CR19","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511623783","volume-title":"The Laplacian on a Riemannian Manifold","author":"S Rosenberg","year":"1997","unstructured":"Rosenberg, S.: The Laplacian on a Riemannian Manifold. Cambridge University Press, Cambridge (1997)"},{"key":"43_CR20","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"470","DOI":"10.1007\/11503415_32","volume-title":"Learning Theory","author":"M Hein","year":"2005","unstructured":"Hein, M., Audibert, J.-Y., von Luxburg, U.: From graphs to manifolds \u2013 weak and strong pointwise consistency of graph Laplacians. In: Auer, P., Meir, R. (eds.) COLT 2005. LNCS (LNAI), vol. 3559, pp. 470\u2013485. Springer, Heidelberg (2005)"},{"key":"43_CR21","unstructured":"Zhou, X., Belkin, M.: Semi-supervised learning by higher order regularization. In: JMLR W&CP (Proceedings of AISTATS), pp. 892\u2013900 (2011)"},{"key":"43_CR22","doi-asserted-by":"crossref","unstructured":"Wang, F., Zhang, C.: Label propagation through linear neighborhoods. In: Proceedings of ICML, pp. 985\u2013992 (2006)","DOI":"10.1145\/1143844.1143968"},{"key":"43_CR23","doi-asserted-by":"crossref","unstructured":"B\u00fchler, T., Hein, M.: Spectral clustering based on the graph p-Laplacian. In: Proceedings of ICML, pp. 81\u201388 (2009)","DOI":"10.1145\/1553374.1553385"},{"key":"43_CR24","volume-title":"Semi-Supervised Learning","author":"O Chapelle","year":"2010","unstructured":"Chapelle, O., Sch\u00f6lkopf, B., Zien, A.: Semi-Supervised Learning. MIT Press, Cambridge (2010). Datasets: http:\/\/olivier.chapelle.cc\/ssl-book\/benchmarks.html"},{"issue":"11","key":"43_CR25","doi-asserted-by":"publisher","first-page":"2278","DOI":"10.1109\/5.726791","volume":"86","author":"Y LeCun","year":"1998","unstructured":"LeCun, Y., Bottou, L., Bengio, Y., Haffner, P.: Gradient-based learning applied to document recognition. Proc. IEEE 86(11), 2278\u20132324 (1998)","journal-title":"Proc. IEEE"},{"key":"43_CR26","unstructured":"S\u00f6derkvist, O.: Computer Vision Classification of Leaves from Swedish Trees. Ph.d. thesis, Master thesis, Link\u00f6ping University, Sweden (2001). Datasets: http:\/\/www.dabi.temple.edu\/~hbling\/code_data.htm"},{"issue":"2","key":"43_CR27","doi-asserted-by":"publisher","first-page":"286","DOI":"10.1109\/TPAMI.2007.41","volume":"29","author":"H Ling","year":"2007","unstructured":"Ling, H., Jacobs, D.W.: Shape classification using the inner-distance. IEEE T-PAMI 29(2), 286\u2013299 (2007)","journal-title":"IEEE T-PAMI"},{"key":"43_CR28","doi-asserted-by":"crossref","unstructured":"Latecki, L.J., Lak\u00e4mper, R., Eckhardt, U.: Shape descriptors for non-rigid shapes with a single closed contour. In: Proceedings of the IEEE CVPR, pp. 424\u2013429 (2000)","DOI":"10.1109\/CVPR.2000.855850"},{"key":"43_CR29","doi-asserted-by":"crossref","unstructured":"Donoser, M., Bischof, H.: Diffusion processes for retrieval revisited. In: Proceedings of the IEEE CVPR, pp. 1320\u20131327 (2013)","DOI":"10.1109\/CVPR.2013.174"},{"key":"43_CR30","unstructured":"Gopalan, R., Turaga, P., Chellappa, R.: Diffusion processes for retrieval revisited. In: Proceedings of the ECCV, pp. 286\u2013299 (2010). Datasets: http:\/\/www.dabi.temple.edu\/~hbling\/code_data.htm"},{"key":"43_CR31","doi-asserted-by":"crossref","unstructured":"Ebert, S., Fritz, M., Schiele, B.: RALF: a reinforced active learning formulation for object class recognition. In: Proceedings of the IEEE CVPR, pp. 3626\u20133633 (2012)","DOI":"10.1109\/CVPR.2012.6248108"},{"key":"43_CR32","unstructured":"Dai, D., Gool, L.V.: Ensemble projection for semi-supervised image classification. In: Proceedings of the IEEE ICCV, pp. 2072\u20132079 (2013). Datasets: http:\/\/people.ee.ethz.ch\/~daid\/EnPro\/"}],"container-title":["Lecture Notes in Computer Science","Computer Vision \u2013 ECCV 2016"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-46454-1_43","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,10]],"date-time":"2025-06-10T19:01:14Z","timestamp":1749582074000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-46454-1_43"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319464534","9783319464541"],"references-count":32,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-46454-1_43","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2016]]},"assertion":[{"value":"16 September 2016","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ECCV","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"European Conference on Computer Vision","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Amsterdam","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"The Netherlands","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2016","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8 October 2016","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16 October 2016","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"eccv2016","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.eccv2016.org\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}