Publications

PATENTS

  • PATENT BD18193MBT: METHOD AND APPARATUS FOR ACCELERATED MAGNETIC RESONANCE IMAGING .
    C. Lazarus, P. Weiss, J. Kahn, A. Vignaud, P. Ciuciu (2019). (pdf)

PREPRINTS

  • 3/4 discrete optimal transport. 
    F. De Gournay, J. Kahn, L. Lebrat, preprint (2018). (pdf)
  • Long term dynamics of the subgradient method for Lipschitz path differentiable functions
    J. Bolte, E. Pauwels, R. Rios-Zertuche, (2020) (pdf)
  • A mathematical model for automatic differentiation in machine learning
    J. Bolte and E. Pauwels, (2020) (pdf)
  • Conservative set valued fields, automatic differentiation, stochastic gradient methods and deep learning
    J. Bolte and E. Pauwels (pdf)
  • Curiosities and counterexamples in smooth convex optimization
    J. Bolte and E. Pauwels (pdf)
  • Sampling rates for l1 synthesis
    M.März, C. Boyer, J. Kahn, P. Weiss (2020). (pdf)
  • Learning low-dimensional models of microscopes
    V. Debarnot, P. Escande, T. Mangeat, P. Weiss (2020). (pdf)
  • Approximation of curves with piecewise constant or piecewise linear functions.
    F de Gournay, J Kahn, L Lebrat – arXiv preprint arXiv:1909.04582, 2019. (pdf)

JOURNAL PAPERS

  • On the linear convergence rates of exchange and continuous methods for total variation minimization .
    A.Flinth, F. de Gournay, P. Weiss, Mathematical Programming (2020). (pdf)
  • Fast Wavelet Decomposition of Linear Operators through Product-Convolution Expansions
    P. Escande, P. Weiss, IMA Journal of Numerical Analysis (2020). (pdf)
  • On Representer Theorems and Convex Regularization
    C. Boyer, A. Chambolle, Y. de Castro, V. Duval, F. de Gournay, P. Weiss, SIAM Optimization (2019). (pdf)
  • 3D variable-density SPARKLING trajectories for high-resolution T2*-weighted Magnetic Resonance Imaging
    C. Lazarus,P. Weiss, L. El Gueddari, F. Mauconduit, A. Massire, M. Ripart, A. Vignaud, P. Ciuciu, NMR in Biomedicine (2020). (pdf)
  • Correcting the side effects of ADC filtering in MR image reconstruction .
    C. Lazarus, M. März, P. Weiss, Journal of Mathematical Imaging Vision (2018). (pdf)
  • A family of functional inequalities: Lojasewicz inequalities and displacement convex functions.
    A. Blanchet, J. Bolte, Journal of Functional Analysis (2019). (link)
  • A scalable estimator of sets of integral operators .
    V. Debarnot, P. Escande, P. Weiss, Inverse Problems (2019). (pdf)
  • Differentiation and regularity of semi-discrete optimal transport with respect to the parameters of the discrete measure.
    F. De Gournay, J. Kahn, L. Lebrat, Numerische Mathematik (2018). (pdf)
  • Optimal transport approximation of measures
    F. de Gournay, J. Kahn, L. Lebrat, P. Weiss, SIAM Imaging Science (2018). (pdf) (video)
  • SPARKLING: variable-density k-space filling curves for accelerated T2*-weighted MRI. .
    C. Lazarus, P. Weiss, N. Chauffert, F. Mauconduit, L. El Gueddari, C. Destrieux, I. Zemmoura, A. Vignaud, P. Ciuciu, Magnetic Resonance in Medicine (2019). (pdf)
  • Exact solutions of infinite dimensional total-variation regularized problems.
    A. Flinth, P. Weiss, Information&Inference (2018). (pdf)
  • A projection method on measures sets.
    N. Chauffert, P. Ciuciu, J. Kahn, P. Weiss, Constructive Approximation, 83-111 (2017). (pdf)
  • On the generation of sampling schemes for Magnetic Resonance Imaging.
    C. Boyer, N. Chauffert, P. Ciuciu, J. Kahn, P. Weiss, SIAM Imaging Science, Vol. 9, N.4, 2039-2072 (2016). (pdf)
  • Gradient waveform design for variable density sampling in Magnetic Resonance Imaging. 
    N. Chauffert, P. Weiss, J. Kahn, P. Ciuciu, IEEE Transactions on Medical Imaging, 35(9), 2026-2039 (2016). (pdf) (codes)

CONFERENCE PROCEEDINGS

  • Iterative Discretization of Optimization Problems Related to Superresolution.
    A. Flinth, P. Weiss, proc. SAMPTA, (2019).
  • A scalable estimator of space varying blurs – application in super-resolution.
    V. Debarnot, T. Mangeat, P. Weiss, proc. SPARS, (2019).
  • Compressed sensing and the synthesis formulation
    C. Boyer, J. Kahn, M. März, P. Weiss, proc. SPARS, (2019).
  • Eventual linear convergence rate of an exchange algorithm for superresolution.
    A. Flinth, F. de Gournay, P. Weiss, proc. SPARS, (2019).
  • 3D SPARKLING for accelerated ex vivo T2*-weighted MRI with compressed sensing.
    C. Lazarus, P. Weiss, A. Vignaud, P. Ciuciu., proc. ISMRM, (2019).
  • Approches variationnelles pour le stippling: distances L2 ou transport optimal ?
    F. De Gournay, J. Kahn, L. Lebrat, P. Weiss, proc. GRETSI (2017). (pdf)
  • Transport Optimal 3/4 discret.
    F. De Gournay, J. Kahn, L. Lebrat, P. Weiss, proc. CANUM (2018).
  • SPARKLING: Novel Non-Cartesian Sampling Schemes for Accelerated 2D Anatomical Imaging at 7T Using Compressed Sensing .
    C. Lazarus, P. Weiss, N. Chauffert, F. Mauconduit, M. Bottlaender, A. Vignaud, P. Ciuciu, proc. ISMRM (2017).

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