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Peter Ochs

Postdoctoral Researcher


Position:    Postdoctoral Researcher
Phone: +49-681-302-57355
E-mail: ochs -at- mia.uni-saarland.de
Address: Mathematical Image Analysis Group
Faculty of Mathematics and Computer Science,
Campus E1.7
66123 Saarbrücken, Germany
Office: Room 4.12



Research InterestsPublicationsTeaching


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  • Convex and non-convex analysis and optimization
  • Bilevel optimization
  • Tame optimization
  • Image processing and computer vision applications

Publications   ––– JournalsConferencesTheses –––

    Journal Papers

  1. P. Ochs:
    Local Convergence of the Heavy-ball Method and iPiano for Non-convex Optimization. [pdf]
    ArXiv e-prints, arXiv:1606.09070 [math.OC], 2016.

  2. P. Ochs:
    Unifying abstract inexact convergence theorems for descent methods and block coordinate variable metric iPiano. [pdf]
    ArXiv e-prints, arXiv:1602.07283 [math.OC], 2016.

  3. P. Ochs, R. Ranftl, T. Brox, T. Pock:
    Techniques for Gradient Based Bilevel Optimization with Nonsmooth Lower Level Problems. [pdf]
    Journal of Mathematical Imaging and Vision, in press.
    Revised version of ArXiv e-prints, arXiv:1602.07080 [math.OC], 2016.

  4. P. Ochs, A. Dosovitskiy, T. Brox, T. Pock:
    On iteratively reweighted Algorithms for Non-smooth Non-convex Optimization in Computer Vision. [pdf]
    SIAM Journal on Imaging Sciences (SIIMS), 8(1): 331 - 372, 2015.

  5. P. Ochs, T. Brox, T. Pock:
    iPiasco: Inertial Proximal Algorithm for Strongly Convex Optimization. [pdf]
    Journal of Mathematical Imaging and Vision (JMIV), 52(2): 171 - 181, 2015.

  6. P. Ochs, Y. Chen, T. Brox, T. Pock:
    iPiano: Inertial Proximal Algorithm for Non-convex Optimization. [pdf]
    SIAM Journal on Imaging Sciences (SIIMS), 7(2): 1388 - 1419, 2014.

  7. P. Ochs, J. Malik, T. Brox:
    Segmentation of Moving Objects by Long Term Video Analysis. [pdf]
    IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 36(6): 1187 - 1200, 2014.

  8. M. Temerinac-Ott, O. Ronneberger, P. Ochs, W. Driever, T. Brox, H. Burkhardt:
    Multiview Deblurring for 3-D Images from Light Sheet Based Fluorescence Microscopy.
    IEEE Transactions on Image Processing (TIP), 21(4): 1863 - 1873, 2012.

  9. Conference Papers

  10. D. Hafner, P. Ochs, J. Weickert, M. Reißel, S. Grewenig:
    FSI schemes: Fast semi-iterative solvers for PDEs and optimisation methods.
    To appear in B. Andres, B. Rosenhahn (Eds.): Pattern Recognition. Lecture Notes in Computer Science, Springer, Cham, 2016.

  11. S. Müller, P. Ochs, J. Weickert, N. Graf:
    Robust interactive multi-label segmentation with an advanced edge detector.
    To appear in B. Andres, B. Rosenhahn (Eds.): Pattern Recognition. Lecture Notes in Computer Science, Springer, Cham, 2016.

  12. P. Ochs, T. Brox:
    Bilevel Optimization with Nonsmooth Lower Level Problems. [pdf]
    In J.-F. Aujol, M. Nikolova, N. Papadakis (Eds.): International Conference on Scale Space and Variational Methods in Computer Vision (SSVM). Lecture Notes in Computer Science, Vol. 9087, 154-165, Springer, 2015.
    Best Paper Award.

  13. P. Ochs, A. Dosovitskiy, T. Pock, T. Brox:
    An iterated L1 Algorithm for Non-smooth Non-convex Optimization in Computer Vision. [pdf]
    International Conference on Computer Vision and Pattern Recognition (CVPR), 2013.

  14. P. Ochs, T. Brox:
    Higher Order Motion Models and Spectral Clustering. [pdf]
    International Conference on Computer Vision and Pattern Recognition (CVPR), 2012.

  15. N.S. Nagaraja, P. Ochs, K. Liu, T. Brox:
    Hierarchy of Localized Random Forests for Video Annotation. [pdf]
    In A. Pinz, T. Pock, H. Bischof, F.Leberl (Eds.): Pattern Recognition (Proc. DAGM), Springer, LNCS, 2012.

  16. P. Ochs, T. Brox:
    Object Segmentation in Video: a Hierarchical Variational Approach for Turning Point Trajectories into Dense Regions. [pdf]
    IEEE International Conference on Computer Vision (ICCV), 2011.

  17. Theses

  18. Long Term Motion Analysis for Object Level Grouping and Nonsmooth Optimization Methods. [pdf]
    Ph.D., Albert-Ludwigs-Universität, Freiburg, Germany, Mar 2015.

  19. Interpolation with Osmosis.
    M.Sc. in Applied Mathematics, University of Saarland, Germany, 2010.

  20. The Bruhat-Tits Tree of a Local Field.
    B.Sc. in Pure Mathematics (Algebra), University of Saarland, Germany, 2009.


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