Prof. Dr. Bernhard Schmitzer

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  • 2024 | Preprint
    ​ ​Transfer Operators from Batches of Unpaired Points via Entropic Transport Kernels​
    Beier, F.; Bi, H.; Sarrazin, C.; Schmitzer, B.  & Steidl, G.​ (2024)
    ​Details 
  • 2024 | Preprint
    ​ ​Cytoarchitecture of SARS-CoV-2 infected hamster lungs by X-ray phase contrast tomography: imaging workflow and classification for drug testing​
    Reichmann, J. ; Sarrazin, C.; Schmale, S.; Blaurock, C.; Balkema-Buschmann, A.; Schmitzer, B.  & Salditt, T.​ (2024). DOI: https://doi.org/10.1101/2024.01.21.576083 
    ​Details  DOI 
  • 2024 | Preprint
    ​ ​MultiMatch: Geometry-Informed Colocalization in Multi-Color Super-Resolution Microscopy​
    Naas, J.; Nies, G.; Li, H.; Stoldt, S.; Schmitzer, B. ; Jakobs, S.& Munk, A.​ (2024). DOI: https://doi.org/10.1101/2024.02.28.581557 
    ​Details  DOI 
  • 2023 | Preprint
    ​ ​Vimentin intermediate filaments structure and mechanically support microtubules in cells​
    Blob, A.; Ventzke, D.; Nies, G.; Dühmert, J. N.; Schmitzer, B. ; Munk, A.  & Schaedel, L. et al.​ (2023). DOI: https://doi.org/10.1101/2023.04.19.537509 
    ​Details  DOI 
  • 2023 | Journal Article
    ​ ​3d Virtual Histology Reveals Pathological Alterations of Cerebellar Granule Cells in Multiple Sclerosis​
    Frost, J.; Schmitzer, B. ; Töpperwien, M.; Eckermann, M.; Franz, J.; Stadelmann, C.   & Salditt, T. ​ (2023) 
    Neuroscience,.​ DOI: https://doi.org/10.1016/j.neuroscience.2023.04.002 
    ​Details  DOI  PMID  PMC 
  • 2023 | Journal Article | 
    ​ ​Asymptotic analysis of domain decomposition for optimal transport​
    Bonafini, M.; Medina, I. & Schmitzer, B. ​ (2023) 
    Numerische Mathematik, 153(2-3) pp. 451​-492​.​ DOI: https://doi.org/10.1007/s00211-023-01347-x 
    ​Details  DOI 
  • 2023 | Journal Article | 
    ​ ​Hellinger–Kantorovich barycenter between Dirac measures​
    Bonafini, M.; Minevich, O. & Schmitzer, B. ​ (2023) 
    Control, Optimisation and Calculus of Variations, 29 pp. 19​.​ DOI: https://doi.org/10.1051/cocv/2022088 
    ​Details  DOI 
  • 2023 | Preprint
    ​ ​Linearized optimal transport on manifolds​
    Sarrazin, C.& Schmitzer, B. ​ (2023). DOI: https://doi.org/10.48550/ARXIV.2303.13901 
    ​Details  DOI 
  • 2023 | Preprint
    ​ ​Manifold learning in Wasserstein space​
    Hamm, K.; Moosmüller, C.; Schmitzer, B.  & Thorpe, M.​ (2023). DOI: https://doi.org/10.48550/ARXIV.2311.08549 
    ​Details  DOI 
  • 2023 | Preprint
    ​ ​A Bayesian model for dynamic mass reconstruction from PET listmode data​
    Mauritz, M.; Schmitzer, B.  & Wirth, B.​ (2023). DOI: https://doi.org/10.48550/ARXIV.2311.17784 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​The Linearized Hellinger--Kantorovich Distance​
    Cai, T.; Cheng, J.; Schmitzer, B.   & Thorpe, M.​ (2022) 
    SIAM Journal on Imaging Sciences, 15(1) pp. 45​-83​.​ DOI: https://doi.org/10.1137/21M1400080 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​Data-driven entropic spatially inhomogeneous evolutionary games​
    Bonafini, M.; Fornasier, M. & Schmitzer, B. ​ (2022) 
    European Journal of Applied Mathematics, pp. 1​-54​.​ DOI: https://doi.org/10.1017/S0956792522000043 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​Formulation of branched transport as geometry optimization​
    Lohmann, J.; Schmitzer, B.   & Wirth, B.​ (2022) 
    Journal de Mathématiques Pures et Appliquées, 163 pp. 739​-779​.​ DOI: https://doi.org/10.1016/j.matpur.2022.05.021 
    ​Details  DOI 
  • 2022 | Preprint
    ​ ​Entropic transfer operators​
    Junge, O.; Matthes, D.& Schmitzer, B. ​ (2022). DOI: https://doi.org/10.48550/ARXIV.2204.04901 
    ​Details  DOI 
  • 2022 | Journal Article | 
    ​ ​Duality in Branched Transport and Urban Planning​
    Lohmann, J.; Schmitzer, B.   & Wirth, B.​ (2022) 
    Applied Mathematics & Optimization, 86(3).​ DOI: https://doi.org/10.1007/s00245-022-09927-3 
    ​Details  DOI 
  • 2021 | Journal Article | Research Paper | 
    ​ ​Three-dimensional virtual histology of the human hippocampus based on phase-contrast computed tomography​
    Eckermann, M.; Schmitzer, B. ; van der Meer, F. ; Franz, J.; Hansen, O.; Stadelmann, C.   & Salditt, T. ​ (2021) 
    Proceedings of the National Academy of Sciences, 118(48) art. e2113835118​.​ DOI: https://doi.org/10.1073/pnas.2113835118 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Barycenters for the Hellinger--Kantorovich Distance Over $\mathbb{R}^d$​
    Friesecke, G.; Matthes, D. & Schmitzer, B. ​ (2021) 
    SIAM Journal on Mathematical Analysis, 53(1) pp. 62​-110​.​ DOI: https://doi.org/10.1137/20M1315555 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Dynamic Cell Imaging in PET With Optimal Transport Regularization​
    Schmitzer, B. ; Wirth, B. & Schäfers, K.​ (2020) 
    IEEE Transactions on Medical Imaging, 39(5) pp. 1626​-1635​.​ DOI: https://doi.org/10.1109/TMI.2019.2953773 
    ​Details  DOI  PMID  PMC  arXiv 
  • 2020 | Journal Article
    ​ ​Domain decomposition for entropy regularized optimal transport​
    Bonafini, M. & Schmitzer, B. ​ (2020) 
    Numerische Mathematik,.​ DOI: https://doi.org/10.1007/s00211-021-01245-0 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Stabilized Sparse Scaling Algorithms for Entropy Regularized Transport Problems​
    Schmitzer, B. ​ (2019) 
    SIAM Journal on Scientific Computing, 41(3) pp. A1443​-A1481​.​ DOI: https://doi.org/10.1137/16M1106018 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Computation of optimal transport on discrete metric measure spaces​
    Erbar, M.; Rumpf, M.; Schmitzer, B.   & Simon, S.​ (2019) 
    Numerische Mathematik, 144(1) pp. 157​-200​.​ DOI: https://doi.org/10.1007/s00211-019-01077-z 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Dynamic models of Wasserstein-1-type unbalanced transport​
    Schmitzer, B.   & Wirth, B.​ (2019) 
    European Series in Applied and Industrial Mathematics. Proceedings and Surveys, 25 pp. 23​.​ DOI: https://doi.org/10.1051/cocv/2018017 
    ​Details  DOI 
  • 2018 | Preprint
    ​ ​Semi-discrete unbalanced optimal transport and quantization​
    Bourne, D.; Schmitzer, B.  & Wirth, B.​ (2018)
    ​Details 
  • 2018 | Journal Article
    ​ ​Scaling algorithms for unbalanced optimal transport problems​
    Chizat, L.; Peyré, G.; Schmitzer, B.   & Vialard, F.-X.​ (2018) 
    Mathematics of Computation, 87(314) pp. 2563​-2609​.​ DOI: https://doi.org/10.1090/mcom/3303 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Unbalanced optimal transport: Dynamic and Kantorovich formulations​
    Chizat, L.; Peyré, G.; Schmitzer, B.   & Vialard, F.-X.​ (2018) 
    Journal of Functional Analysis, 274(11) pp. 3090​-3123​.​ DOI: https://doi.org/10.1016/j.jfa.2018.03.008 
    ​Details  DOI 
  • 2018 | Conference Paper
    ​ ​Multi-Scale Algorithms for Optimal Transport​
    Schmitzer, B. ​ (2018)
    ​Proceedings DSW 2018 pp. 1​-5. ​2018 IEEE Data Science Workshop (DSW)​, Lausanne, Switzerland. DOI: https://doi.org/10.1109/DSW.2018.8439922 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​A Framework for Wasserstein-1-Type Metrics​
    Schmitzer, B.   & Wirth, B.​ (2017) 
    Journal of Convex Analysis, 26.​
    ​Details 
  • 2017 | Journal Article
    ​ ​Image Labeling by Assignment​
    Åström, F.; Petra, S.; Schmitzer, B.   & Schnörr, C.​ (2017) 
    Journal of Mathematical Imaging and Vision, 58(2) pp. 211​-238​.​ DOI: https://doi.org/10.1007/s10851-016-0702-4 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Convergence of Entropic Schemes for Optimal Transport and Gradient Flows​
    Carlier, G.; Duval, V.; Peyré, G. & Schmitzer, B. ​ (2017) 
    SIAM Journal on Mathematical Analysis, 49(2) pp. 1385​-1418​.​ DOI: https://doi.org/10.1137/15M1050264 
    ​Details  DOI 
  • 2017 | Conference Paper
    ​ ​Optimal Transport for Manifold-Valued Images​
    Fitschen, J. H.; Laus, F. & Schmitzer, B. ​ (2017)
    ​Scale space and variational methods in computer vision pp. 460​-472. ​6th International Conference, SSVM 2017​, Kolding, Denmark.
    Cham​: Springer. DOI: https://doi.org/10.1007/978-3-319-58771-4_37 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​A Sparse Multiscale Algorithm for Dense Optimal Transport​
    Schmitzer, B. ​ (2016) 
    Journal of Mathematical Imaging and Vision, 56(2) pp. 238​-259​.​ DOI: https://doi.org/10.1007/s10851-016-0653-9 
    ​Details  DOI 
  • 2016 | Conference Paper
    ​ ​The Assignment Manifold: A Smooth Model for Image Labeling​
    Astrom, F.; Petra, S.; Schmitzer, B.   & Schnorr, C.​ (2016)
    ​Proceedings CVPRW 2016 pp. 963​-971. ​2016 IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW)​, Las Vegas, Nevada. DOI: https://doi.org/10.1109/CVPRW.2016.124 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​An Interpolating Distance Between Optimal Transport and Fisher–Rao Metrics​
    Chizat, L.; Peyré, G.; Schmitzer, B.   & Vialard, F.-X.​ (2016) 
    Foundations of Computational Mathematics, 18(1) pp. 1​-44​.​ DOI: https://doi.org/10.1007/s10208-016-9331-y 
    ​Details  DOI 
  • 2016 | Conference Paper
    ​ ​A Geometric Approach to Image Labeling​
    Åström, F.; Petra, S.; Schmitzer, B.   & Schnörr, C.​ (2016)
    ​Computer vision pp. 139​-154. ​ECCV 2016 : 14th European conference​, Amsterdam.
    Cham​: Springer. DOI: https://doi.org/10.1007/978-3-319-46454-1_9 
    ​Details  DOI 
  • 2015 | Conference Paper
    ​ ​A sparse algorithm for dense optimal transport​
    Schmitzer, B. ​ (2015)
    ​Scale space and variational methods in computer vision pp. 629​-641. ​5th International Conference, SSVM 2015​, Lège-Cap Ferret, France.
    Cham​: Springer. DOI: https://doi.org/10.1007/978-3-319-18461-6_50 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Globally Optimal Joint Image Segmentation and Shape Matching Based on Wasserstein Modes​
    Schmitzer, B.   & Schnörr, C.​ (2014) 
    Journal of Mathematical Imaging and Vision, 52(3) pp. 436​-458​.​ DOI: https://doi.org/10.1007/s10851-014-0546-8 
    ​Details  DOI 
  • 2013 | Preprint
    ​ ​Contour Manifolds and Optimal Transport​
    Schmitzer, B.  & Schnörr, C.​ (2013)
    ​Details 
  • 2013 | Conference Paper
    ​ ​A Hierarchical Approach to Optimal Transport​
    Schmitzer, B.   & Schnörr, C.​ (2013)
    ​Scale space and variational methods in computer vision pp. 452​-464. ​4th International Conference, SSVM 2013​, Schloss Seggau, Leibnitz, Austria.
    Berlin​: Springer. DOI: https://doi.org/10.1007/978-3-642-38267-3_38 
    ​Details  DOI 
  • 2013 | Conference Paper
    ​ ​Object Segmentation by Shape Matching with Wasserstein Modes​
    Schmitzer, B.   & Schnörr, C.​ (2013)
    ​Energy minimization methods in computer vision and pattern recognition pp. 123​-136. ​9th International Conference, EMMCVPR 2013​, Lund, Sweden.
    Berlin​: Springer. DOI: https://doi.org/10.1007/978-3-642-40395-8_10 
    ​Details  DOI 
  • 2012 | Conference Paper
    ​ ​Weakly Convex Coupling Continuous Cuts and Shape Priors​
    Schmitzer, B.   & Schnörr, C.​ (2012)
    ​Scale space and variational methods in computer vision pp. 423​-434. ​Third International Conference, SSVM 2011​, Ein-Gedi, Israel.
    Berlin​: Springer. DOI: https://doi.org/10.1007/978-3-642-24785-9_36 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Modelling Convex Shape Priors and Matching Based on the Gromov-Wasserstein Distance​
    Schmitzer, B.   & Schnörr, C.​ (2012) 
    Journal of Mathematical Imaging and Vision, 46(1) pp. 143​-159​.​ DOI: https://doi.org/10.1007/s10851-012-0375-6 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​The random discrete action for two-dimensional spacetime​
    Benincasa, D. M T; Dowker, F. & Schmitzer, B. ​ (2011) 
    Classical and Quantum Gravity, 28(10) art. 105018​.​ DOI: https://doi.org/10.1088/0264-9381/28/10/105018 
    ​Details  DOI 
  • 2009 | Journal Article
    ​ ​Pulses of chaos synchronization in coupled map chains with delayed transmission​
    Schmitzer, B. ; Kinzel, W. & Kanter, I.​ (2009) 
    Physical Review. E, 80(4).​ DOI: https://doi.org/10.1103/PhysRevE.80.047203 
    ​Details  DOI 

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