Publications

Here is a list of publications and talks.

Preprints:

  • C. Cartis, E. Massart, A. Otemissov, Constrained global optimization of functions with low effective dimensionality using multiple random embeddings, submitted, 2020 [Preprint].

Journal papers:

  • Antoni Musolas, Estelle Massart, Julien M. Hendrickx, P.-A. Absil, Youssef Marzouk, Low-rank multi-parametric covariance estimation, accepted to BIT Numerical Mathematics, 2021 [Preprint].
  • N.T. Son, P.-Y. Gousenbourger, E. Massart, and T. Stykel, Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches, Special issue on model reduction of complex dynamical systems, to appear in the Springer International Series of Numerical Mathematics, 2020. [Preprint]
  • Estelle Massart, P.-A. Absil, Quotient geometry with simple geodesics for the manifold of fixed-rank positive-semidefinite matrices, SIAM Journal on Matrix Analysis and Applications 41(1), pp. 171-198, 2020. [Preprint] . Code available in the Manopt toolbox ( symfixedrankYYfactory.m )
  • Pierre-Yves Gousenbourger, Estelle Massart, P.-A. Absil, Data fitting on manifolds with composite Bézier-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:

  • C. Cartis, E. Massart, A. Otemissov, Dimensionality reduction techniques for global optimization of functions with low effective dimensionality, ICML workshop “Beyond first order methods in ML systems” [Preprint] [3 minutes presentation video] .
  • 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 Proceedings of 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 , Proceedings of Geometric Science of Information: Fourth International Conference (GSI 2019), pp. 739-748, 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:

  • Exploiting geometric structure in the data/parameter space for machine learning
    Invited seminar, SCAN seminar series Cornell University, March 2021 (virtual).
  • Dimensionality reduction techniques for global optimization of functions with low effective dimensionality
    Invited seminar, National Physical Laboratory, Sept. 2020 (virtual).
  • A brief introduction to Riemannian optimization
    Invited seminar, National Physical Laboratory, June 2020 (virtual).
  • 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, Sept. 2019.
  • Quotient geometry with simple geodesics on the manifold of fixed-rank positive-semidefinite matrices
    Oberwolfach mini-workshop: Computational optimization on manifolds, Nov. 2020 (virtual),
    Invited seminar, Communications in Numerical Linear Algebra seminar series (opening session), Sept. 2020 (virtual),
    Invited talk, Online Minisymposium on Low-rank Geometry and Computation, July 2020 (virtual),
    Invited seminar, Optimization group - University of Birmingham, UK, March 2020,
    Invited seminar, Alan Turing Institute, London, UK, Feb. 2020,
    Invited seminar, University of Oxford, UK, Nov. 2019,
    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]