{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,12]],"date-time":"2025-12-12T13:39:41Z","timestamp":1765546781871,"version":"3.40.3"},"publisher-location":"Cham","reference-count":14,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030802080"},{"type":"electronic","value":"9783030802097"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-80209-7_57","type":"book-chapter","created":{"date-parts":[[2021,7,14]],"date-time":"2021-07-14T00:02:40Z","timestamp":1626220960000},"page":"524-533","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Wasserstein Proximal of GANs"],"prefix":"10.1007","author":[{"given":"Alex Tong","family":"Lin","sequence":"first","affiliation":[]},{"given":"Wuchen","family":"Li","sequence":"additional","affiliation":[]},{"given":"Stanley","family":"Osher","sequence":"additional","affiliation":[]},{"given":"Guido","family":"Mont\u00fafar","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,7,14]]},"reference":[{"issue":"2","key":"57_CR1","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1162\/089976698300017746","volume":"10","author":"S Amari","year":"1998","unstructured":"Amari, S.: Natural gradient works efficiently in learning. Neural Comput. 10(2), 251\u2013276 (1998)","journal-title":"Neural Comput."},{"key":"57_CR2","series-title":"Applied Mathematical Sciences","doi-asserted-by":"publisher","DOI":"10.1007\/978-4-431-55978-8","volume-title":"Information Geometry and Its Applications","author":"S Amari","year":"2016","unstructured":"Amari, S.: Information Geometry and Its Applications. AMS, vol. 194. Springer, Tokyo (2016). https:\/\/doi.org\/10.1007\/978-4-431-55978-8"},{"key":"57_CR3","unstructured":"Arjovsky, M., Chintala, S., Bottou, L.: Wasserstein GAN. arXiv:1701.07875 [cs, stat] (2017)"},{"key":"57_CR4","series-title":"Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge \/ A Series of Modern Surveys in Mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-56478-4","volume-title":"Information Geometry","author":"N Ay","year":"2017","unstructured":"Ay, N., Jost, J., L\u00ea, H.V., Schwachh\u00f6fer, L.: Information Geometry. EMGFASMSM, vol. 64. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-56478-4"},{"key":"57_CR5","unstructured":"Frogner, C., Zhang, C., Mobahi, H., Araya-Polo, M., Poggio, T.: Learning with a Wasserstein Loss. arXiv:1506.05439 [cs, stat] (2015)"},{"key":"57_CR6","unstructured":"Goodfellow, I., et al.: Generative adversarial nets. In: Advances in Neural Information Processing Systems, vol. 27, pp. 2672\u20132680. Curran Associates Inc. (2014)"},{"issue":"1","key":"57_CR7","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1137\/S0036141096303359","volume":"29","author":"R Jordan","year":"1998","unstructured":"Jordan, R., Kinderlehrer, D., Otto, F.: The variational formulation of the Fokker-Planck equation. SIAM J. Math. Anal. 29(1), 1\u201317 (1998)","journal-title":"SIAM J. Math. Anal."},{"key":"57_CR8","unstructured":"Li, W.: Transport information geometry: Riemannian calculus on probability simplex. arXiv:1803.06360 [math] (2018)"},{"issue":"2","key":"57_CR9","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1007\/s41884-018-0015-3","volume":"1","author":"W Li","year":"2018","unstructured":"Li, W., Mont\u00fafar, G.: Natural gradient via optimal transport. Inf. Geom. 1(2), 181\u2013214 (2018)","journal-title":"Inf. Geom."},{"key":"57_CR10","unstructured":"Li, W., Mont\u00fafar, G.: Ricci curvature for parametric statistics via optimal transport. arXiv:1807.07095 [cs, math, stat] (2018)"},{"key":"57_CR11","unstructured":"Montavon, G., M\u00fcller, K.-R., Cuturi, M.: Wasserstein training of restricted Boltzmann machines. In: Lee, D.D., Sugiyama, M., Luxburg, U.V., Guyon, I., Garnett, R. (eds.) Advances in Neural Information Processing Systems, vol. 29, pp. 3718\u20133726. Curran Associates Inc. (2016)"},{"key":"57_CR12","doi-asserted-by":"crossref","unstructured":"Ollivier, Y.: Riemannian metrics for neural networks I: feedforward networks. Inf. Infer. J. IMA 4(2), 108\u2013153 (2015)","DOI":"10.1093\/imaiai\/iav006"},{"issue":"1\u20132","key":"57_CR13","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1081\/PDE-100002243","volume":"26","author":"F Otto","year":"2001","unstructured":"Otto, F.: The geometry of dissipative evolution equations the porous medium equation. Commun. Partial Differ. Equ. 26(1\u20132), 101\u2013174 (2001)","journal-title":"Commun. Partial Differ. Equ."},{"key":"57_CR14","unstructured":"Tong Lin, A., Li, W., Osher, S., Mont\u00fafar, G.: Wasserstein proximal of GANs. arXiv:2102.06862 (2018)"}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-80209-7_57","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,14]],"date-time":"2021-07-14T00:08:53Z","timestamp":1626221333000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-80209-7_57"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030802080","9783030802097"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-80209-7_57","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"14 July 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"GSI","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Geometric Science of Information","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Paris","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"France","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21 July 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"23 July 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"5","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"gsi2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.see.asso.fr\/en\/GSI2021?screen_check=done&Width=1280&Height=720","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"125","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"98","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"78% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"The conference was held virtually.","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}