Dr Estelle Massart
PhD in Mathematical Engineering
Status:
Postdoctoral Research Associate
Personal website:
Research groups:
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Research interests:
-
Data fitting on matrix manifolds.
-
Applications of Riemannian geometry (EEG decoding, model order reduction, wind field modeling).
-
Optimization (unconstrained or constrained to manifolds).
- Neural networks: use of "manifold" constraints, e.g., weights restricted to low-rank or orthogonal manifolds in deep neural networks and its impact on convergence of the optimization algorithm in the training step and on the generalization error.
Prizes, awards, and scholarships:
Householder award, 2020.
Best Junior Presentation Award, Benelux meeting on Systems and Control, 2016
Major / recent publications:
Preprints:
- A. Musolas, E. Massart, J. M. Hendrickx, P.-A. Absil, Y. Marzouk,
Low-rank multi-parametric covariance estimation,
2019.
Journal papers:
- 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. - E. 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.
Code available in the Manopt toolbox - P.-Y. Gousenbourger, E. 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. - E. M. Massart, J. M. Hendrickx, P-A. Absil,
Matrix geometric means based on shuffled inductive sequences,
Linear Algebra and its Applications, 252, pp. 334-359, 2018. [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”. - For conference papers published before my arrival at the University of Oxford, please see my personal website .