Publications

Preprint

  1. C. Poon and G. Peyr'e. Super-resolved Lasso

  2. F. Andrade and G. Peyré and C. Poon. Sparsistency for Inverse Optimal Transport

  3. F. Wang and C. Poon and T. Shardlow. Compressed Online Sinkhorn.

  4. C. Poon and J. Liang. Geometry of First-Order Methods and Adaptive Acceleration.

Main publications

  1. C. Poon and G. Peyré. Smooth over-parameterized solvers for non-smooth structured optimization. Mathematical Programming (2023): 1-56.

  2. J. Liang and C. Poon. Variable Screening for Sparse Online Regression. Journal of Computational and Graphical Statistics 32.1 (2023): 275-293.

  3. M. Golbabaee and C. Poon. An off-the-grid approach to multi-compartment magnetic resonance fingerprinting. Inverse Problems 38.8 (2022): 085002.

  4. C. Poon and G. Peyré. Smooth Bilevel Programming for Sparse Regularization, Neurips 2021.

  5. C. Poon, N. Keriven and G. Peyré. The geometry of off-the-grid compressed sensing. Foundations of Computational Mathematics (2021): 1-87.

  6. C. Poon and G. Peyré. Degrees of freedom for off-the-grid sparse estimation. Bernoulli 28(3): 2095-2121, 2022.

  7. V. Antun, F. Renna, C. Poon, B. Adcock, A. C. Hansen. On instabilities of deep learning in image reconstruction and the potential costs of AI. PNAS, 2020.

  8. C. Poon, J. Liang. Trajectory of Alternating Direction Method of Multipliers and Adaptive Acceleration, Neurips 2019 (Oral).

  9. C. Poon, N. Keriven and G. Peyré. Support Localization and the Fisher Metric for off-the-grid Sparse Regularization, AISTATS, 2019.

  10. C. Poon and G. Peyré. Multi-dimensional sparse super-resolution. SIAM J. Math. Anal. 51(1), 1-44. 2019.

  11. G. Carlier and C. Poon. On the total variation Wasserstein gradient flow and the TV-JKO scheme. ESAIM COCV, 25, p.42. 2019.

  12. C. Poon, J. Liang and C. Schoenlieb. Local convergence properties of SAGA/Prox-SVRG and acceleration. ICML, 2018.

  13. C. Dossal, V. Duval and C. Poon. Sampling the Fourier transform along radial lines. SIAM J. Numer. Anal., 55(6), 2540-2564. 2017.

  14. B. Adcock, A. C. Hansen and C. Poon and B. Roman. Breaking the coherence barrier: a new theory for compressed sensing. Forum of Mathematics, Sigma 5, 001, 2017.

  15. A. Chambolle, V. Duval and G. Peyré and C. Poon. Geometric properties of solutions to the total variation denoising problem. Inverse Problems 33.1: 015002, 2016.

  16. R. Assier, N. Peake and C. Poon. Spectral study of the Laplace-Beltrami Operator arising in the problem of acoustic wave scattering by a quarter-plane. QJMAM 69 (3): 281-317, 2016.

  17. M. Gataric and C. Poon. A practical guide to the recovery of wavelet coefficients from Fourier measurements. SIAM J. Sci. Comput. 38(2): A1075-A1099, 2016. (Matlab code)

  18. C. Poon. Structure dependent sampling in compressed sensing: theoretical guarantees for tight frames. Appl. Comput. Harm. Anal. 42(3):402-451, 2017.

  19. C. Poon. On the role of total variation in compressed sensing. SIAM J. Imag. Sci. 8(1): 682-720, 2015.

  20. C. Poon. A consistent and stable approach to generalized sampling. J. Fourier Anal. Appl. 20:985–1019, 2014.

  21. B. Adcock, A. C. Hansen and C. Poon. On optimal wavelet reconstructions from Fourier samples: linearity and universality of the stable sampling rate. Appl. Comput. Harm. Anal. 36(3):387-415, 2013.

  22. B. Adcock, A. C. Hansen and C. Poon. Beyond consistent reconstructions: optimality and sharp bounds for generalized sampling, and application to the uniform resampling problem. SIAM J. Math. Anal. 45(5):3132-3167, 2013.

Other refereed conference proceedings

  1. A. Chambolle, V. Duval and G. Peyré and C. Poon. Total variation denoising and support localization of the gradient. NCMIP, 2016.

  2. C. Poon. Recovery guarantees for TV regularized compressed sensing. Proceedings of the 11th International Conference on Sampling Theory and Applications, 2015.

  3. B. Adcock, A. C. Hansen and C. Poon and B. Roman. Overcoming the coherence barrier in compressed sensing. Proceedings of the 10th International Conference on Sampling Theory and Applications, 2013.

  4. B. Adcock, A. C. Hansen and C. Poon. Optimal wavelet reconstructions from Fourier samples via generalized sampling. Proceedings of the 10th International Conference on Sampling Theory and Applications, 2013.