Publications

Here is a list of publications and talks.

Journal papers:

  • Antoni Musolas, Estelle Massart, Julien M. Hendrickx, P.-A. Absil, Youssef Marzouk, Low-rank multi-parametric covariance estimation, Technical report (2019).
  • Estelle Massart, P.-A. Absil, Quotient geometry with simple geodesics for the manifold of fixed-rank positive-semidefinite matrices, accepted for SIMAX, 2019 [Preprint] . Code available in the Manopt toolbox ( symfixedrankYYfactory.m )
  • Pierre-Yves Gousenbourger, Estelle Massart, P.-A. Absil, Data fitting on manifolds with composite B├ęzier-like curves and blended cubic splines, Journal of Mathematical Imaging and Vision, 61(5), pp. 645-671 (2019) [Preprint] .
  • Estelle M. Massart, Julien M. Hendrickx, P-A. Absil, Matrix geometric means based on shuffled inductive sequences, Linear Algebra and its Applications, 252, pp. 334-359 (2018) [Preprint] [Code] .

Conference papers:

  • Benjamin Szczapa, Mohamed Daoudi, Stefano Berretti, Alberto Del Bimbo, Pietro Pala, Estelle Massart, Fitting, Comparison, and Alignment of Trajectories on Positive Semi-Definite Matrices with Application to Action Recognition Accepted for the Human Behavior Understanding workshop, satellite workshop of ICCV, 2019 [Preprint]
  • Estelle Massart, Julien M. Hendrickx, P.-A. Absil, Curvature of the manifold of fixed-rank positive-semidefinite matrices endowed with the Bures-Wasserstein metric , accepted for Geometric Science of Information: Fourth International Conference (GSI 2019), 2019. [Preprint] [Slides]
  • Nguyen Thanh Son, Pierre-Yves Gousenbourger, Estelle Massart, P.-A. Absil, Online balanced truncation for linear time-varying systems using continuously differentiable interpolation on Grassmann manifold , Proceedings of the 6th International Conference on Control, Decision and Information Technologies (CoDIT 2019), to appear, 2019. [Preprint]
  • Estelle Massart, Pierre-Yves Gousenbourger, Nguyen Thanh Son, Tatjana Stykel, P.-A. Absil, Interpolation on the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results, Proceedings of the 27th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2019), pages 281-286, 2019 [Preprint]
  • Estelle Massart, Sylvain Chevallier, Inductive means and sequences applied to online classication of EEG, Geometric Science of Information: Third International Conference (GSI 2017), Paris, France, 2017 [Preprint] [Talk]
  • Pierre-Yves Gousenbourger, Estelle Massart, Antoni Musolas, P.-A. Absil, Julien M. Hendrickx, Laurent Jacques, Youssef Marzouk, Piecewise-Bezier C1 smoothing on manifolds with application to wind field estimation. 25th European Symposium on Artifical Neural Networks, Computational Intelligence and Machine Learning (ESANN), Bruges, Belgium, 2017 [Preprint] .
  • Estelle M. Massart, Julien M. Hendrickx, P.-A. Absil, Extending a two-variable mean to a multi-variable mean, 24th European Symposium on Artifical Neural Networks, Computational Intelligence and Machine Learning (ESANN), Bruges, Belgium, 2016 [Preprint] [Poster] [Code].

Other talks / poster presentations:

  • Overview of a quotient geometry with simple geodesics for the manifold of fixed-rank positive-semidefinite matrices
    Low-rank models and applications (LRMA) workshop, Mons, Belgium, 2019.
  • Quotient geometry with simple geodesics on the manifold of fixed-rank positive-semidefinite matrices
    International Congress on Industrial and Applied Mathematics (ICIAM), Valencia, Spain, 2019 [Slides].
  • Data fitting on positive-semidefinite matrices
    Invited seminar, IMT Lille Douai, 2019 [Slides].
  • Injectivity radius on the manifold of fixed-rank positive-semidefinite matrices
    38th Benelux meeting on systems and control, Lommel, Belgium, 2019.
  • Shuffling for incremental gradient descent to compute the Riemannian barycenter
    ICML conference, Geometry for Machine Learning (GimLi 2018) workshop, Stockholm, Sweden, 2018. [Abstract] [Poster]
  • EEG classification based on inductive means
    37th Benelux meeting on systems and control, Soesterberg, The Nederlands, 2018 [Abstract].
  • ASCII tutorial seminar, 2017.
  • Extending two-variable means to many variables
    36th Benelux meeting on systems and control, Spa, Belgium, 2017.
  • Approximate matrix geometric means
    20th Conference of the International Linear Algebra Society (ILAS), Leuven, Belgium, 2016.
  • 35th Benelux meeting on systems and control, Soesterberg, The Nederlands, 2016. [Abstract] [Slides]