Stefan Horst Sommer

Søgeresultater

• 2024

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

  Habermann, K., Harms, P. & Sommer, S., 2024, I: Bulletin of the London Mathematical Society. 56, 5, s. 1658-1679

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• Most Probable Flows for Kunita SDEs

  Grong, E. & Sommer, S., 2024, I: Applied Mathematics and Optimization. 89, 2, 15 s., 44.

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• Most Probable Paths for Anisotropic Brownian Motions on Manifolds

  Grong, E. & Sommer, S., 2024, I: Foundations of Computational Mathematics. 24, s. 313–345 33 s.

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  3 Citationer (Scopus)

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

  Bao, L., Lu, J., Ying, S. & Sommer, S., 2024, I: SIAM Journal on Imaging Sciences. 17, 2, s. 861-887

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• 2023

  A Function Space Perspective on Stochastic Shape Evolution

  Baker, E., Besnier, T. & Sommer, S., 2023, Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings. Gade, R., Felsberg, M. & Kämäräinen, J-K. (red.). Springer, s. 278-292 15 s. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Bind 13886 LNCS).

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• Diffusion means in geometric spaces

  Eltzner, B., Hansen, P. E. H., Huckemann, S. F. & Sommer, S., 2023, I: Bernoulli. 29, 4, s. 3141-3170 30 s.

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  2 Citationer (Scopus)

  27 Downloads (Pure)

• Geometry of sample spaces

  Harms, P., Michor, P. W., Pennec, X. & Sommer, S., 2023, I: Differential Geometry and its Application. 90, 29 s., 102029.

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• Instance-Specific Augmentation of Brain MRIs with Variational Autoencoders

  Middleton, J. A., Bauer, M., Johansen, J., Nielsen, M., Sommer, S. H. & 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, s. 49-58 (Lecture Notes in Computer Science, Bind 13823).

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  1 Citationer (Scopus)

• Moment Evolution Equations and Moment Matching for Stochastic Image EPDiff

  Christgau, A. M., Arnaudon, A. & Sommer, S., 2023, I: Journal of Mathematical Imaging and Vision. 65, 4, s. 563-576 14 s.

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• Stochastic Shape Analysis

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

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• Tangent Phylogenetic PCA

  Akhøj, M., Pennec, X. & Sommer, S., 2023, Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings. Gade, R., Felsberg, M. & Kämäräinen, J-K. (red.). Springer, s. 77-90 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Bind 13886 LNCS).

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• 2022

  Atlas generative models and geodesic interpolation

  Stolberg-Larsen, J. & Sommer, S., 2022, I: Image and Vision Computing. 122, 23 s., 104433.

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  1 Citationer (Scopus)

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• Diffusion Bridges for Stochastic Hamiltonian Systems and Shape Evolutions

  Arnaudon, A., Van Der Meulen, F., Schauer, M. & Sommer, S., 2022, I: SIAM Journal on Imaging Sciences. 15, 1, s. 293-323

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  3 Citationer (Scopus)

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

  Jensen, M. H., Joshi, S. & Sommer, S., 2022, I: Algorithms. 15, 8, s. 1-17 290.

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

  Myers, A., Sanborn, S., Donnat, C. D. & Sommer, S. H., 2022. 8 s.

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• Mean Estimation on the Diagonal of Product Manifolds

  Jensen, M. H. & Sommer, S., 2022, I: Algorithms. 15, 3, s. 1-16 92.

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• 2021

  Bridge Simulation and Metric Estimation on Lie Groups

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

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• Currents and K-functions for Fiber Point Processes

  Hansen, P. E. H., Waagepetersen, R. P., Svane, A. M., Sporring, J., Stephensen, H. J. T., Hasselholt, S. & Sommer, S. H., 2021, arXiv preprint. 12 s.

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• Currents and K-functions for Fiber Point Processes

  Hansen, P. E. H., Waagepetersen, R. P., Svane, A. M., Sporring, J., Stephensen, H. J. T., Hasselholt, S. & Sommer, S. H., 2021, Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings. Nielsen, F. & Barbaresco, F. (red.). Springer, s. 127-134 (Lecture Notes in Computer Science, Bind 12829).

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• Diffusion Means and Heat Kernel on Manifolds

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

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• Horizontal Flows and Manifold Stochastics in Geometric Deep Learning

  Sommer, S. & Bronstein, A. M., 2021, I: IEEE Transactions on Pattern Analysis and Machine Intelligence. 44, 2, s. 811 - 822

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  7 Citationer (Scopus)

  37 Downloads (Pure)

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

  Feragen, A. (red.), Sommer, S. H. (red.), Schnabel, J. (red.) & Nielsen, M. (red.), 2021, Springer. 782 s. (Lecture Notes in Computer Science, Bind 12729).

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• Latent Space Geometric Statistics

  Kühnel, L., Fletcher, T., Joshi, S. & Sommer, S., 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. (red.). Springer, s. 163-178 16 s. (Lecture Notes in Computer Science, Bind 12666 ).

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• Stochastic flows and shape bridges

  Sommer, S. H., Schauer, M. & Meulen, F. V. D., 2021, Statistics of Stochastic Differential Equations on Manifolds and Stratified Spaces (hybrid meeting). Mathematisches Forschungsinstitut Oberwolfach, s. 18-21 (Oberwolfach Reports; Nr. 48, Bind 2021).

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• Stochastic Shape Analysis

  Arnaudon, A., Holm, D. D. & Sommer, S. H., 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. (red.). Springer, s. 1-24 (Springer Reference).

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• 2020

  Introduction

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

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  19 Citationer (Scopus)

• Introduction to differential and Riemannian geometry

  Sommer, S. H., Fletcher, T. & Pennec, X., 2020, Riemannian Geometric Statistics in Medical Image. Pennec, X., Sommer, S. & Fletcher, T. (red.). Academic Press, s. 3-37

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  1 Citationer (Scopus)

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

  Sommer, S. H., 2020, Riemannian Geometric Statistics in Medical Image. Pennec, X., Sommer, S. & Fletcher, T. (red.). Academic Press, s. 377-416

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• Riemannian Geometric Statistics in Medical Image Analysis

  Pennec, X. (red.), Sommer, S. H. (red.) & Fletcher, T. (red.), 2020, 1. udg. Academic Press. 636 s.

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  11 Citationer (Scopus)

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

  Marsland, S. & Sommer, S. H., 2020, Riemannian Geometric Statistics in Medical Image Analysis. Pennec, X., Sommer, S. & Fletcher, T. (red.). Academic Press, s. 135-167

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  1 Citationer (Scopus)
• 2019

  A Geometric Framework for Stochastic Shape Analysis

  Arnaudon, A., Holm, D. D. & Sommer, S., 2019, I: Foundations of Computational Mathematics. 19, 3, s. 653–701 49 s.

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  12 Citationer (Scopus)

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

  Jorgensen, C. H. L., Moller, J. G., Sommer, S. & Johannsson, H., 2019, I: IEEE Transactions on Power Systems. 34, 4, s. 2675-2684 10 s., 8645670.

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  8 Citationer (Scopus)

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

  Sommer, S., 2019, I: Sankhya A. 81, 1, s. 37-62

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  4 Citationer (Scopus)

• Binary Search and Fit Algorithm for Improved Voltage Stability Boundary Monitoring

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

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  1 Citationer (Scopus)

• Differential geometry and stochastic dynamics with deep learning numerics

  Kühnel, L., Sommer, S. & Arnaudon, A., 2019, I: Applied Mathematics and Computation. 356, s. 411-437 27 s.

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  20 Citationer (Scopus)

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

  Sporring, J., Waagepetersen, R. P. & Sommer, S. H., 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, s. 731-742 (Lecture Notes in Computer Science, Bind 11492).

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• PADDIT: Probabilistic Augmentation of Data using Diffeomorphic Image Transformation

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

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  2 Citationer (Scopus)

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

  Sommer, S., Aabrandt, A. & Jóhannsson, H., 2019, I: IET Generation, Transmission and Distribution. 13, 2, s. 288-295

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  7 Citationer (Scopus)

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• Simulation of Conditioned Diffusions on the Flat Torus

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

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  2 Citationer (Scopus)

• Stochastic Metamorphosis with Template Uncertainties

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

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  1 Citationer (Scopus)
• 2018

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

  Klein, S. (red.), Staring, M. (red.), Durrleman, S. (red.) & Sommer, S. H. (red.), 2018, Springer. 127 s. (Image Processing, Computer Vision, Pattern Recognition, and Graphics, Bind 10883).

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• Brain Segmentation in Rodent MR-Images Using Convolutional Neural Networks

  Sigurdsson, B., Darkner, S., Sommer, S. H., Mortensen, K. N., Sanggaard, S., Kostrikov, S. & Nedergaard, M., 2018.

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• String Methods for Stochastic Image and Shape Matching

  Arnaudon, A., Holm, D. & Sommer, S., 2018, I: Journal of Mathematical Imaging and Vision. 60, 6, s. 953-967

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  3 Citationer (Scopus)
• 2017

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

  Pai, A. S. U., Sommer, S. H., Raket, L. L., Kühnel, L., Darkner, S., Sørensen, L. & Nielsen, M., 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. (red.). Springer, s. 151-159 9 s. (Lecture notes in computer science, Bind 10081).

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• A stochastic large deformation model for computational anatomy

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

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  8 Citationer (Scopus)

• Bridge simulation and metric estimation on landmark manifolds

  Sommer, S. H., 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. (red.). Springer, s. 79-91 13 s. (Lecture notes in computer science, Bind 10551).

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  19 Citationer (Scopus)

• Characterization of errors in deep learning-based brain MRI segmentation

  Pai, A. S. U., Teng, Y-C., Blair, J. P. M., Kallenberg, M. G. J., Dam, E. B., Sommer, S. H., Igel, C. & Nielsen, M., 2017, Deep learning for medical image analysis. Zhou, S. K., Greenspan, H. & Shen, D. (red.). Academic Press, s. 223–242 20 s.

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  3 Citationer (Scopus)

• Computational anatomy in Theano

  Kühnel, L. & Sommer, S. H., 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. (red.). Springer, s. 164-176 13 s. (Lecture notes in computer science, Bind 10551).

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  10 Citationer (Scopus)

• 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. (red.), Arbel, T. (red.), Ferrante, E. (red.), Pennec, X. (red.), Dalca, A. V., Parisot, S. (red.), Joshi, S. (red.), Batmanghelich, N. K. (red.), Sotiras, A. (red.), Nielsen, M. (red.), Sabuncu, M. R. (red.), Fletcher, T. (red.), Shen, L. (red.), Durrleman, S. (red.) & Sommer, S. H. (red.), 2017, Springer. 248 s. (Lecture notes in computer science, Bind 10551).

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• Hippocampal texture predicts rate of cognitive decline in mild cognitive impairment

  Pai, A. S. U., Pillai, J. A., Sørensen, L., Darkner, S., Sommer, S. H. & Nielsen, M., jul. 2017, I: Alzheimer's & Dementia. 13, 7, supplement, s. P1356 1 s., P4-225.

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