Majhi, Sushovan; Wenk, Carola Distance measures for geometric graphs. (English) Zbl 1544.05030 Comput. Geom. 118, Article ID 102056, 17 p. (2024). MSC: 05C10 05C12 68Q17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Shiying; Moosmüller, Caroline Approximation properties of slice-matching operators. (English) Zbl 1543.49039 Sampl. Theory Signal Process. Data Anal. 22, No. 1, Paper No. 15, 32 p. (2024). MSC: 49Q22 68T10 41A65 65D18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Erickson, William Q. Comparing weighted difference and Earth mover’s distance via Young diagrams. (English) Zbl 1525.05196 Discrete Math. 347, No. 1, Article ID 113667, 19 p. (2024). MSC: 05E14 05A18 05A15 62R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mémoli, Facundo; Munk, Axel; Wan, Zhengchao; Weitkamp, Christoph The ultrametric Gromov-Wasserstein distance. (English) Zbl 07781566 Discrete Comput. Geom. 70, No. 4, 1378-1450 (2023). MSC: 53C23 49Q22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Tsung-Ming; Liao, Wei-Hung; Lin, Wen-Wei; Yueh, Mei-Heng; Yau, Shing-Tung Convergence analysis of volumetric stretch energy minimization and its associated optimal mass transport. (English) Zbl 07754947 SIAM J. Imaging Sci. 16, No. 3, 1825-1855 (2023). MSC: 68U05 65D18 52C35 33F05 65E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Jia-Wei; Li, Tiexiang; Lin, Wen-Wei; Huang, Tsung-Ming Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations. (English) Zbl 1519.49033 Adv. Comput. Math. 49, No. 4, Paper No. 50, 26 p. (2023). MSC: 49Q22 52C26 65F05 68U05 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Cole, Sam; Eckstein, Michał; Friedland, Shmuel; Życzkowski, Karol On quantum optimal transport. (English) Zbl 1515.81042 Math. Phys. Anal. Geom. 26, No. 2, Paper No. 14, 67 p. (2023). MSC: 81P40 90C22 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khurana, Varun; Kannan, Harish; Cloninger, Alexander; Moosmüller, Caroline Supervised learning of sheared distributions using linearized optimal transport. (English) Zbl 1501.60010 Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 1, 51 p. (2023). MSC: 60D05 60B05 68T10 68T05 49Q22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiao, Mian; Sun, WaiChing Geometric prior of multi-resolution yielding manifolds and the local closest point projection for nearly non-smooth plasticity. (English) Zbl 1507.74087 Comput. Methods Appl. Mech. Eng. 400, Article ID 115469, 28 p. (2022). MSC: 74C05 × Cite Format Result Cite Review PDF Full Text: DOI
Komarichev, Artem; Hua, Jing; Zhong, Zichun Learning geometry-aware joint latent space for simultaneous multimodal shape generation. (English) Zbl 1489.65041 Comput. Aided Geom. Des. 93, Article ID 102076, 15 p. (2022). MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dai; Gao, Junbin; Hong, Xia; Boris Choy, S. T.; Wang, Zhiyong Coupling matrix manifolds assisted optimization for optimal transport problems. (English) Zbl 07432812 Mach. Learn. 110, No. 3, 533-558 (2021). MSC: 68T05 × Cite Format Result Cite Review PDF Full Text: DOI
Heimowitz, Ayelet; Sharon, Nir; Singer, Amit Centering noisy images with application to cryo-EM. (English) Zbl 1538.94008 SIAM J. Imaging Sci. 14, No. 2, 689-716 (2021). MSC: 94A08 65D18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ping, Yuhan; Wei, Guodong; Yang, Lei; Cui, Zhiming; Wang, Wenping Self-attention implicit function networks for 3D dental data completion. (English) Zbl 1505.65136 Comput. Aided Geom. Des. 90, Article ID 102026, 12 p. (2021). MSC: 65D18 65D17 × Cite Format Result Cite Review PDF Full Text: DOI
Kerber, Michael; Nigmetov, Arnur Metric spaces with expensive distances. (English) Zbl 1508.68387 Int. J. Comput. Geom. Appl. 30, No. 2, 141-165 (2020). MSC: 68U05 51K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Budinich, Renato; Plonka, Gerlind A tree-based dictionary learning framework. (English) Zbl 1458.94077 Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 5, Article ID 2050041, 24 p. (2020). MSC: 94A12 94A08 68U10 65D18 42C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Jiarui; Xia, Qing; Li, Shuai; Hao, Aimin; Qin, Hong Quantitative and flexible 3D shape dataset augmentation via latent space embedding and deformation learning. (English) Zbl 1462.68207 Comput. Aided Geom. Des. 71, 63-76 (2019). MSC: 68U05 68T07 68T45 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Jian-Guo; Pego, Robert L.; Slepčev, Dejan Least action principles for incompressible flows and geodesics between shapes. (English) Zbl 1428.35376 Calc. Var. Partial Differ. Equ. 58, No. 5, Paper No. 179, 43 p. (2019). MSC: 35Q35 65D18 35J96 58E10 53C22 76B45 86A05 35R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kline, Jeffery Properties of the \(d\)-dimensional Earth mover’s problem. (English) Zbl 1461.90069 Discrete Appl. Math. 265, 128-141 (2019). MSC: 90C05 90C90 × Cite Format Result Cite Review PDF Full Text: DOI
Cloninger, Alexander; Roy, Brita; Riley, Carley; Krumholz, Harlan M. People mover’s distance: class level geometry using fast pairwise data adaptive transportation costs. (English) Zbl 1417.90049 Appl. Comput. Harmon. Anal. 47, No. 1, 248-257 (2019). MSC: 90B20 90C35 91C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Gournay, Frédéric; Kahn, Jonas; Lebrat, Léo Differentiation and regularity of semi-discrete optimal transport with respect to the parameters of the discrete measure. (English) Zbl 1475.49055 Numer. Math. 141, No. 2, 429-453 (2019). Reviewer: Nicolò De Ponti (Trieste) MSC: 49Q22 49M15 65D18 46N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Hu; Liu, Manni On geometric prototype and applications. (English) Zbl 1522.68643 Azar, Yossi (ed.) et al., 26th annual European symposium on algorithms, ESA 2018, August 20–22, 2018, Helsinki, Finland. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 112, Article 23, 15 p. (2018). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ben-Eliezer, Omri; Fischer, Eldar Earthmover resilience and testing in ordered structures. (English) Zbl 1441.68152 Servedio, Rocco A. (ed.), 33rd computational complexity conference, CCC 2018, June 22–24, 2018, San Diego, California, USA. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 102, Article 18, 35 p. (2018). MSC: 68R05 06A99 68R10 68U05 68W20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dessein, Arnaud; Papadakis, Nicolas; Rouas, Jean-Luc Regularized optimal transport and the rot mover’s distance. (English) Zbl 1444.49017 J. Mach. Learn. Res. 19, Paper No. 15, 53 p. (2018). MSC: 49Q22 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Cuturi, Marco; Peyré, Gabriel Semidual regularized optimal transport. (English) Zbl 1402.49037 SIAM Rev. 60, No. 4, 941-965 (2018). MSC: 49Q20 93E20 49N60 49J20 65D99 68U10 90C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dsilva, Carmeline J.; Talmon, Ronen; Coifman, Ronald R.; Kevrekidis, Ioannis G. Parsimonious representation of nonlinear dynamical systems through manifold learning: a chemotaxis case study. (English) Zbl 1390.68523 Appl. Comput. Harmon. Anal. 44, No. 3, 759-773 (2018). MSC: 68T05 62H11 62H25 92C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Hu; Xu, Jinhui FPTAS for minimizing the earth mover’s distance under rigid transformations and related problems. (English) Zbl 1378.68193 Algorithmica 78, No. 3, 741-770 (2017). MSC: 68W25 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Dsilva, Carmeline J.; Talmon, Ronen; Gear, C. William; Coifman, Ronald R.; Kevrekidis, Ioannis G. Data-driven reduction for a class of multiscale fast-slow stochastic dynamical systems. (English) Zbl 1353.37151 SIAM J. Appl. Dyn. Syst. 15, No. 3, 1327-1351 (2016). MSC: 37M10 37H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koulouri, Alexandra; Rimpiläinen, Ville; Brookes, Mike; Kaipio, Jari P. Compensation of domain modelling errors in the inverse source problem of the Poisson equation: application in electroencephalographic imaging. (English) Zbl 1382.65365 Appl. Numer. Math. 106, 24-36 (2016). MSC: 65N21 92C55 35J25 35R30 62F15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cuturi, Marco; Peyré, Gabriel A smoothed dual approach for variational Wasserstein problems. (English) Zbl 1335.49076 SIAM J. Imaging Sci. 9, No. 1, 320-343 (2016). MSC: 49Q20 49M29 49J20 90C08 90C25 65D99 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Solomon, Justin; de Goes, Fernando; Peyré, Gabriel; Cuturi, Marco; Butscher, Adrian; Nguyen, Andy; Du, Tao; Guibas, Leonidas Convolutional Wasserstein distances: efficient optimal transportation on geometric domains. (English) Zbl 1334.68267 ACM Trans. Graph. 34, No. 4, Article No. 66, 11 p. (2015). MSC: 68U05 65D05 65D18 65K10 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Bronstein, Alexander M.; Bronstein, Michael M. Manifold intrinsic similarity. (English) Zbl 1331.68245 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer (ISBN 978-1-4939-0789-2/print; 978-1-4939-0790-8/ebook; 978-1-4939-0791-5/print+ebook; 978-3-642-27795-5/online (updated continuously)). Springer Reference, 1859-1908 (2015). MSC: 68U05 68T10 68T45 00A71 × Cite Format Result Cite Review PDF Full Text: DOI
Delbracio, Mauricio; Musé, Pablo; Buades, Antoni; Chauvier, Julien; Phelps, Nicholas; Morel, Jean-Michel Boosting Monte Carlo rendering by ray histogram fusion. (English) Zbl 1288.68223 ACM Trans. Graph. 33, No. 1, Paper No. 8, 15 p. (2014). MSC: 68U05 68U10 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Geiß, Darius; Klein, Rolf; Penninger, Rainer; Rote, Günter Reprint of: Optimally solving a transportation problem using Voronoi diagrams. (English) Zbl 1282.49040 Comput. Geom. 47, No. 3, Part B, 499-506 (2014). MSC: 49Q20 52C17 01A75 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Peihua Tensor-SIFT based earth mover’s distance for contour tracking. (English) Zbl 1304.68176 J. Math. Imaging Vis. 46, No. 1, 44-65 (2013). MSC: 68T45 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Geiß, Darius; Klein, Rolf; Penninger, Rainer; Rote, Günter Optimally solving a transportation problem using Voronoi diagrams. (English) Zbl 1282.49039 Comput. Geom. 46, No. 8, 1009-1016 (2013). MSC: 49Q20 52C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lipman, Y.; Puente, J.; Daubechies, I. Conformal Wasserstein distance: II. Computational aspects and extensions. (English) Zbl 1281.65034 Math. Comput. 82, No. 281, 331-381 (2013). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 65D18 53D20 53A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guibas, Leonidas; Morozov, Dmitriy; Mérigot, Quentin Witnessed \(k\)-distance. (English) Zbl 1272.68414 Discrete Comput. Geom. 49, No. 1, 22-45 (2013). MSC: 68U05 68Q87 × Cite Format Result Cite Review PDF Full Text: DOI
Mileyko, Yuriy; Mukherjee, Sayan; Harer, John Probability measures on the space of persistence diagrams. (English) Zbl 1247.68310 Inverse Probl. 27, No. 12, Article ID 124007, 22 p. (2011). Reviewer: Patrizio Frosini (Bologna) MSC: 68U05 55N35 65D18 68Q87 60D05 60B05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Mémoli, Facundo Gromov-Wasserstein distances and the metric approach to object matching. (English) Zbl 1244.68078 Found. Comput. Math. 11, No. 4, 417-487 (2011). MSC: 68U05 68T10 53C23 60D05 × Cite Format Result Cite Review PDF Full Text: DOI
Lipman, Y.; Daubechies, I. Conformal Wasserstein distances: comparing surfaces in polynomial time. (English) Zbl 1217.53026 Adv. Math. 227, No. 3, 1047-1077 (2011). MSC: 53B50 58D17 53B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ba, Khanh Do; Nguyen, Huy L.; Nguyen, Huy N.; Rubinfeld, Ronitt Sublinear time algorithms for earth mover’s distance. (English) Zbl 1209.62001 Theory Comput. Syst. 48, No. 2, 428-442 (2011). MSC: 62-07 68U05 05C90 65C60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chazal, Frédéric; Cohen-Steiner, David; Mérigot, Quentin Boundary measures for geometric inference. (English) Zbl 1196.52006 Found. Comput. Math. 10, No. 2, 221-240 (2010). Reviewer: Stefan Nickel (Saarbrücken) MSC: 52A39 51K10 49Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peyré, Gabriel; Péchaud, Mickael; Keriven, Renaud; Cohen, Laurent D. Geodesic methods in computer vision and graphics. (English) Zbl 1217.65042 Found. Trends Comput. Graph. Vis. 5, No. 3-4, 197-397 (2009). MSC: 65D17 65D18 68U05 68U10 68-02 × Cite Format Result Cite Review PDF Full Text: DOI Link
Andoni, Alexandr; Indyk, Piotr; Krauthgamer, Robert Earth mover distance over high-dimensional spaces. (English) Zbl 1192.68725 Proceedings of the nineteenth annual ACM-SIAM symposium on discrete algorithms, San Francisco, CA, January 20–22, 2008. New York, NY: Association for Computing Machinery (ACM); Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-47-4). 343-352 (2008). MSC: 68U05 68Q30 × Cite Format Result Cite Review PDF
Cabello, Sergio; Giannopoulos, Panos; Knauer, Christian; Rote, Günter Matching point sets with respect to the earth mover’s distance. (English) Zbl 1129.65008 Comput. Geom. 39, No. 2, 118-133 (2008). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Madden, Christopher; Cheng, Eric Dahai; Piccardi, Massimo Tracking people across disjoint camera views by an illumination-tolerant appearance representation. (English) Zbl 1118.68736 Mach. Vis. Appl. 18, No. 3-4, 233-247 (2007). MSC: 68U10 94A08 × Cite Format Result Cite Review PDF Full Text: DOI Link
Abellanas, Manuel; Bereg, Sergey; Hurtado, Ferran; Olaverri, Alfredo García; Rappaport, David; Tejel, Javier Moving coins. (English) Zbl 1098.65022 Comput. Geom. 34, No. 1, 35-48 (2006). Reviewer: Vladimir Yu. Rovenskij (Nesher) MSC: 65D18 05B30 05C20 05C45 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI