Stefan Horst Sommer

Stefan Horst Sommer

Professor

ORCID: 0000-0001-6784-0328

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  1. 2024
  2. E-pub ahead of print

    Long‐time existence of Brownian motion on configurations of two landmarks

    Habermann, K., Harms, P. & Sommer, Stefan Horst, 2024, (E-pub ahead of print) In: Bulletin of the London Mathematical Society.

    Research output: Contribution to journal › Journal article › Research › peer-review

  3. Published

    Most Probable Flows for Kunita SDEs

    Grong, E. & Sommer, Stefan Horst, 2024, In: Applied Mathematics and Optimization. 89, 2, 15 p., 44.

    Research output: Contribution to journal › Journal article › Research › peer-review

  4. E-pub ahead of print

    Most Probable Paths for Anisotropic Brownian Motions on Manifolds

    Grong, E. & Sommer, Stefan Horst, 2024, (E-pub ahead of print) In: Foundations of Computational Mathematics. 33 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  5. Published

    Sliding at First-Order: Higher-Order Momentum Distributions for Discontinuous Image Registration

    Bao, L., Lu, *, Ying, S. & Sommer, Stefan Horst, 2024, In: SIAM Journal on Imaging Sciences. 17, 2, p. 861-887

    Research output: Contribution to journal › Journal article › Research › peer-review

  6. 2023
  7. Published

    A Function Space Perspective on Stochastic Shape Evolution

    Baker, Elizabeth Louise, Besnier, T. & Sommer, Stefan Horst, 2023, Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings. Gade, R., Felsberg, M. & Kämäräinen, J-K. (eds.). Springer, p. 278-292 15 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 13886 LNCS).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  8. Published

    Diffusion means in geometric spaces

    Eltzner, B., Hansen, P. E. H., Huckemann, S. F. & Sommer, Stefan Horst, 2023, In: Bernoulli. 29, 4, p. 3141-3170 30 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  9. Published

    Geometry of sample spaces

    Harms, P., Michor, P. W., Pennec, X. & Sommer, Stefan Horst, 2023, In: Differential Geometry and its Application. 90, 29 p., 102029.

    Research output: Contribution to journal › Journal article › Research › peer-review

  10. Published

    Instance-Specific Augmentation of Brain MRIs with Variational Autoencoders

    Middleton, Jon Anthony, Bauer, Marko, Johansen, Jacob, Nielsen, Mads, Sommer, Stefan Horst & Pai, A. S. U., 2023, Medical Applications with Disentanglements : First MICCAI Workshop, MAD 2022, Held in Conjunction with MICCAI 2022, Singapore, September 22, 2022, Proceedings. Springer, p. 49-58 (Lecture Notes in Computer Science, Vol. 13823).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  11. Published

    Moment Evolution Equations and Moment Matching for Stochastic Image EPDiff

    Christgau, Alexander Mangulad, Arnaudon, A. & Sommer, Stefan Horst, 2023, In: Journal of Mathematical Imaging and Vision. 65, 4, p. 563-576 14 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  12. Published

    Stochastic Shape Analysis

    Arnaudon, A., Holm, D. & Sommer, Stefan Horst, 2023, Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging: Mathematical Imaging and Vision. Springer, p. 1325-1348

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  13. Published

    Tangent Phylogenetic PCA

    Pedersen, Morten Akhøj, Pennec, X. & Sommer, Stefan Horst, 2023, Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings. Gade, R., Felsberg, M. & Kämäräinen, J-K. (eds.). Springer, p. 77-90 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 13886 LNCS).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  14. 2022
  15. Published

    Atlas generative models and geodesic interpolation

    Stolberg-Larsen, J. & Sommer, Stefan Horst, 2022, In: Image and Vision Computing. 122, 23 p., 104433.

    Research output: Contribution to journal › Journal article › Research › peer-review

  16. Published

    Diffusion Bridges for Stochastic Hamiltonian Systems and Shape Evolutions

    Arnaudon, A., Van Der Meulen, F., Schauer, M. & Sommer, Stefan Horst, 2022, In: SIAM Journal on Imaging Sciences. 15, 1, p. 293-323

    Research output: Contribution to journal › Journal article › Research › peer-review

  17. Published

    Discrete-Time Observations of Brownian Motion on Lie Groups and Homogeneous Spaces: Sampling and Metric Estimation

    Jensen, M. H., Joshi, S. & Sommer, Stefan Horst, 2022, In: Algorithms. 15, 8, p. 1-17 290.

    Research output: Contribution to journal › Journal article › Research › peer-review

  18. Published

    ICLR 2022 Challenge for Computational Geometry & Topology: Design and Results

    Myers, A., Sanborn, S., Donnat, C. D. & Sommer, Stefan Horst, 2022. 8 p.

    Research output: Contribution to conference › Paper › Research

  19. Published

    Mean Estimation on the Diagonal of Product Manifolds

    Jensen, M. H. & Sommer, Stefan Horst, 2022, In: Algorithms. 15, 3, p. 1-16 92.

    Research output: Contribution to journal › Journal article › Research › peer-review

  20. 2021
  21. Published

    Bridge Simulation and Metric Estimation on Lie Groups

    Højgaard Jensen, M., Joshi, S. & Sommer, Stefan Horst, 2021, Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings. Springer, p. 430-438 (Lecture Notes in Computer Science, Vol. 12829).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  22. Published

    Currents and K-functions for Fiber Point Processes

    Hansen, P. E. H., Waagepetersen, R. P., Svane, A. M., Sporring, Jon, Stephensen, Hans Jacob Teglbjærg, Hasselholt, S. & Sommer, Stefan Horst, 2021, arXiv preprint. 12 p.

    Research output: Book/Report › Report › Research

  23. Published

    Currents and K-functions for Fiber Point Processes

    Hansen, P. E. H., Waagepetersen, R. P., Svane, A. M., Sporring, Jon, Stephensen, Hans Jacob Teglbjærg, Hasselholt, S. & Sommer, Stefan Horst, 2021, Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings. Nielsen, F. & Barbaresco, F. (eds.). Springer, p. 127-134 (Lecture Notes in Computer Science, Vol. 12829).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  24. Published

    Diffusion Means and Heat Kernel on Manifolds

    Hansen, P., Eltzner, B. & Sommer, Stefan Horst, 2021, Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings. Springer, p. 111-118 (Lecture Notes in Computer Science, Vol. 12829).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  25. Published

    Horizontal Flows and Manifold Stochastics in Geometric Deep Learning

    Sommer, Stefan Horst & Bronstein, A. M., 2021, In: IEEE Transactions on Pattern Analysis and Machine Intelligence. 44, 2, p. 811 - 822

    Research output: Contribution to journal › Journal article › Research › peer-review

  26. Published

    Information Processing in Medical Imaging: 27th International Conference, IPMI 2021, Virtual Event, June 28–June 30, 2021, Proceedings

    Feragen, A. (ed.), Sommer, Stefan Horst (ed.), Schnabel, J. (ed.) & Nielsen, Mads (ed.), 2021, Springer. 782 p. (Lecture Notes in Computer Science, Vol. 12729).

    Research output: Book/Report › Anthology › Research › peer-review

  27. Published

    Latent Space Geometric Statistics

    Kühnel, L., Fletcher, T., Joshi, S. & Sommer, Stefan Horst, 2021, Pattern Recognition. ICPR International Workshops and Challenges, 2021, Proceedings. Del Bimbo, A., Cucchiara, R., Sclaroff, S., Farinella, G. M., Mei, T., Bertini, M., Escalante, H. J. & Vezzani, R. (eds.). Springer, p. 163-178 16 p. (Lecture Notes in Computer Science, Vol. 12666 ).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  28. Published

    Stochastic Shape Analysis

    Arnaudon, A., Holm, D. D. & Sommer, Stefan Horst, 2021, Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging: Mathematical Imaging and Vision. Chen, K., Schönlieb, C-B., Tai, X-C. & Younces, L. (eds.). Springer, p. 1-24 (Springer Reference).

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  29. Published

    Stochastic flows and shape bridges

    Sommer, Stefan Horst, Schauer, M. & Meulen, F. V. D., 2021, Statistics of Stochastic Differential Equations on Manifolds and Stratified Spaces (hybrid meeting). Mathematisches Forschungsinstitut Oberwolfach, p. 18-21 (Oberwolfach Reports; No. 48, Vol. 2021).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research

  30. 2020
  31. Published

    Introduction

    Pennec, X., Sommer, Stefan Horst & Fletcher, T., 2020, Riemannian Geometric Statistics in Medical Image Analysis. Pennec, X., Sommer, S. & Fletcher, T. (eds.). Academic Press, p. xvii-xix

    Research output: Chapter in Book/Report/Conference proceeding › Preface/postscript › Research › peer-review

  32. Published

    Introduction to differential and Riemannian geometry

    Sommer, Stefan Horst, Fletcher, T. & Pennec, X., 2020, Riemannian Geometric Statistics in Medical Image. Pennec, X., Sommer, S. & Fletcher, T. (eds.). Academic Press, p. 3-37

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  33. Published

    Probabilistic approaches to geometric statistics: Stochastic processes, transition distributions, and fiber bundle geometry

    Sommer, Stefan Horst, 2020, Riemannian Geometric Statistics in Medical Image. Pennec, X., Sommer, S. & Fletcher, T. (eds.). Academic Press, p. 377-416

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  34. Published

    Riemannian Geometric Statistics in Medical Image Analysis

    Pennec, X. (ed.), Sommer, Stefan Horst (ed.) & Fletcher, T. (ed.), 2020, 1. ed. Academic Press. 636 p.

    Research output: Book/Report › Book › Research › peer-review

  35. Published

    Riemannian geometry on shapesand diffeomorphisms: Statistics via actions of the diffeomorphism group

    Marsland, S. & Sommer, Stefan Horst, 2020, Riemannian Geometric Statistics in Medical Image Analysis. Pennec, X., Sommer, S. & Fletcher, T. (eds.). Academic Press, p. 135-167

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  36. 2019
  37. Published

    Generalizations of Ripley’s K-function with Application to Space Curves

    Sporring, Jon, Waagepetersen, R. P. & Sommer, Stefan Horst, Jun 2019, Information Processing in Medical Imaging - 26th International Conference, IPMI 2019, Hong Kong, China, 2019, Proceedings: 26th International Conference, IPMI 2019, Hong Kong, China, June 2–7, 2019, Proceedings. Springer, p. 731-742 (Lecture Notes in Computer Science, Vol. 11492).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  38. Published

    A Geometric Framework for Stochastic Shape Analysis

    Arnaudon, A., Holm, D. D. & Sommer, Stefan Horst, 2019, In: Foundations of Computational Mathematics. 19, 3, p. 653–701 49 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  39. Published

    A Memory-Efficient Parallelizable Method for Computation of Thévenin Equivalents Used in Real-Time Stability Assessment

    Jorgensen, C. H. L., Moller, J. G., Sommer, Stefan Horst & Johannsson, H., 2019, In: IEEE Transactions on Power Systems. 34, 4, p. 2675-2684 10 p., 8645670.

    Research output: Contribution to journal › Journal article › Research › peer-review

  40. Published

    An Infinitesimal Probabilistic Model for Principal Component Analysis of Manifold Valued Data

    Sommer, Stefan Horst, 2019, In: Sankhya A. 81, 1, p. 37-62

    Research output: Contribution to journal › Journal article › Research › peer-review

  41. Published

    Binary Search and Fit Algorithm for Improved Voltage Stability Boundary Monitoring

    Jørgensen, C. H. L., Karatas, B. C., Jóhannsson, H. & Sommer, Stefan Horst, 2019, Proceedings of 2019 IEEE PES Innovative Smart Grid Technologies Europe, ISGT-Europe 2019. IEEE, 5 p. 8905466

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  42. Published

    Differential geometry and stochastic dynamics with deep learning numerics

    Kühnel, L., Sommer, Stefan Horst & Arnaudon, A., 2019, In: Applied Mathematics and Computation. 356, p. 411-437 27 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  43. Published

    PADDIT: Probabilistic Augmentation of Data using Diffeomorphic Image Transformation

    Orbes-Arteaga, M., Sørensen, L., Cardoso , J., Modat , M., Ourselin, S., Sommer, Stefan Horst, Nielsen, Mads, Igel, Christian & Pai, A. S. U., 2019, Proceedings, SPIE 10949, Medical Imaging 2019: Image Processing . SPIE - International Society for Optical Engineering, 6 p.

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  44. Published

    Reduce-factor-solve for fast Thevenin impedance computation and network reduction

    Sommer, Stefan Horst, Aabrandt, A. & Jóhannsson, H., 2019, In: IET Generation, Transmission and Distribution. 13, 2, p. 288-295

    Research output: Contribution to journal › Journal article › Research › peer-review

  45. Published

    Simulation of Conditioned Diffusions on the Flat Torus

    Jensen, M. H., Mallasto, A. & Sommer, Stefan Horst, 2019, Geometric Science of Information - 4th International Conference, GSI 2019, Proceedings. Nielsen, F. & Barbaresco, F. (eds.). Springer VS, p. 685-694 10 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 11712 LNCS).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  46. Published

    Stochastic Metamorphosis with Template Uncertainties

    Arnaudon, A., Holm, D. D. & Sommer, Stefan Horst, 2019, Mathematics of Shapes and Applications. World Scientific, Vol. 37. p. 75-96 22 p. (Lecture Notes Series, Institute for Mathematical Sciences, Vol. 37).

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  47. 2018
  48. Published

    Biomedical Image Registration: 8th International Workshop, WBIR 2018, Leiden, The Netherlands, June 28-29, 2018, Proceedings

    Klein, S. (ed.), Staring, M. (ed.), Durrleman, S. (ed.) & Sommer, Stefan Horst (ed.), 2018, Springer. 127 p. (Image Processing, Computer Vision, Pattern Recognition, and Graphics, Vol. 10883).

    Research output: Book/Report › Anthology › Research › peer-review

  49. Published

    Brain Segmentation in Rodent MR-Images Using Convolutional Neural Networks

    Sigurdsson, B., Darkner, Sune, Sommer, Stefan Horst, Mortensen, K. N., Sanggaard, S., Kostrikov, S. & Nedergaard, Maiken, 2018.

    Research output: Contribution to conference › Conference abstract for conference › Research › peer-review

  50. Published

    String Methods for Stochastic Image and Shape Matching

    Arnaudon, A., Holm, D. & Sommer, Stefan Horst, 2018, In: Journal of Mathematical Imaging and Vision. 60, 6, p. 953-967

    Research output: Contribution to journal › Journal article › Research › peer-review

  51. 2017
  52. Published

    Hippocampal texture predicts rate of cognitive decline in mild cognitive impairment

    Pai, A. S. U., Pillai, J. A., Sørensen, L., Darkner, Sune, Sommer, Stefan Horst & Nielsen, Mads, Jul 2017, In: Alzheimer's & Dementia. 13, 7, supplement, p. P1356 1 p., P4-225.

    Research output: Contribution to journal › Conference abstract in journal › Research

  53. Published

    A statistical model for simultaneous template estimation, bias correction, and registration of 3D brain images

    Pai, A. S. U., Sommer, Stefan Horst, Raket, L. L., Kühnel, L., Darkner, Sune, Sørensen, L. & Nielsen, Mads, 2017, Medical Computer Vision and Bayesian and Graphical Models for Biomedical Imaging: MICCAI 2016 International Workshops, MCV and BAMBI, Athens, Greece, October 21, 2016, Revised Selected Papers. Müller, H., Kelm, B. M., Arbel, T., Cai, W., Cardoso, M. J., Langs, G., Menze, B., Metaxas, D., Montillo, A., Wells, W. M., Zhang, S., Chung, A. C. S., Jenkinson, M. & Ribbens, A. (eds.). Springer, p. 151-159 9 p. (Lecture notes in computer science, Vol. 10081).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  54. Published

    A stochastic large deformation model for computational anatomy

    Arnaudon, A., Holm, D. D., Pai, A. S. U. & Sommer, Stefan Horst, 2017, Information Processing in Medical Imaging: 25th International Conference, IPMI 2017, Boone, NC, USA, June 25-30, 2017, Proceedings. Springer, p. 571-582 12 p. (Lecture notes in computer science, Vol. 10265).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  55. Published

    Bridge simulation and metric estimation on landmark manifolds

    Sommer, Stefan Horst, Arnaudon, A., Kühnel, L. & Joshi, S., 2017, Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics: First International Workshop, GRAIL 2017, 6th International Workshop, MFCA 2017, and Third International Workshop, MICGen 2017, Held in Conjunction with MICCAI 2017, Québec City, QC, Canada, September 10–14, 2017, Proceedings. Cardoso, J., Arbel, T., Ferrante, E., Pennec, X., Dalca, A., Parisot, S., Batmanghelich, N. K., Sotiras, A., Nielsen, M., Sabuncu, M. R., Fletcher, T., Shen, L., Durrleman, S. & Sommer, S. (eds.). Springer, p. 79-91 13 p. (Lecture notes in computer science, Vol. 10551).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  56. Published

    Characterization of errors in deep learning-based brain MRI segmentation

    Pai, A. S. U., Teng, Y., Blair, J. P. M., Kallenberg, M. G. J., Dam, Erik Bjørnager, Sommer, Stefan Horst, Igel, Christian & Nielsen, Mads, 2017, Deep learning for medical image analysis. Zhou, S. K., Greenspan, H. & Shen, D. (eds.). Academic Press, p. 223–242 20 p.

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  57. Published

    Computational anatomy in Theano

    Kühnel, L. & Sommer, Stefan Horst, 2017, Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics: First International Workshop, GRAIL 2017, 6th International Workshop, MFCA 2017, and Third International Workshop, MICGen 2017, Held in Conjunction with MICCAI 2017, Québec City, QC, Canada, September 10–14, 2017, Proceedings. Cardoso, J., Arbel, T., Ferrante, E., Pennec, X., Dalca, A., Parisot, S., Joshi, S., Batmanghelich, N. K., Sotiras, A., Nielsen, M., Sabuncu, M. R., Fletcher, T., Shen, L., Durrleman, S. & Sommer, S. (eds.). Springer, p. 164-176 13 p. (Lecture notes in computer science, Vol. 10551).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  58. Published

    Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics: First International Workshop, GRAIL 2017, 6th International Workshop, MFCA 2017, and Third International Workshop, MICGen 2017, Held in Conjunction with MICCAI 2017, Québec City, QC, Canada, September 10–14, 2017, Proceedings

    Cardoso, M. J. (ed.), Arbel, T. (ed.), Ferrante, E. (ed.), Pennec, X. (ed.), Dalca, A. V., Parisot, S. (ed.), Joshi, S. (ed.), Batmanghelich, N. K. (ed.), Sotiras, A. (ed.), Nielsen, Mads (ed.), Sabuncu, M. R. (ed.), Fletcher, T. (ed.), Shen, L. (ed.), Durrleman, S. (ed.) & Sommer, Stefan Horst (ed.), 2017, Springer. 248 p. (Lecture notes in computer science, Vol. 10551).

    Research output: Book/Report › Anthology › Research › peer-review

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