Heriot-Watt University

Edinburgh EH14 4ASColin Maclaurin Building CMT.19A
a.repetti@hw.ac.uk
Associate Professor
Department of Actuarial Mathematics and Statistics School of Mathematical and Computer Sciences
Institute of Sensors, Signals, and Systems School of Engineering and Physical Sciences
Maxwell Institute for Mathematical Sciences - Edinburgh 

Publications

Preprints

6 - H. L. Bester, J. S. Kenyon, A. Repetti, S. J. Perkins, O. M. Smirnov, T. Blecher, Y. Mhiri, J. Roth, I. Heywood, Y. Wiaux, B. V. Hugo, Africanus III. PBF-imaging -- A flexible radio interferometric imaging suite, Preprint, December 2024. [pdf]
5* - M. Kowalski, B. Malézieux, T. Moreau, and A. Repetti, Analysis and synthesis denoisers for forward-backward plug-and-play algorithms, Preprint, November 2024. [pdf]
4 - H. T. V. Le, M. Foare, A. Repetti, and N. Pustelnik, Embedding Blake-Zisserman Regularization in Unfolded Proximal Neural Networks for Enhanced Edge Detection, Preprint, November 2024. [pdf]
3 - J. F. P. J. Abascal, T. Baudier, R. Phan, A. Repetti, and N. Ducros, SPyRiT: An open source package for single-pixel imaging based on deep learning, Preprint, July 2024. [pdf]
2 - M. Tang and A. Repetti, A data-driven approach for Bayesian uncertainty quantification in imaging, Preprint, Apr. 2023. [pdf]
1 - J.-B. Fest, A. Repetti and E. Chouzenoux, A stochastic use of the Kurdyka-Lojasiewicz property: Investigation of optimization algorithm behaviours in a non-convex differentiable framework, Preprint, Feb. 2023. [pdf] 

Accepted/published articles

For items mentioned by , the author names are listed alphabetically, according to standard usage in applied mathematics journals.

Jx -- Journal article

Cx -- Conference with proceedings

ICx -- Invited conference with proceedings

-- 2024 -- 

J25* - Y. Belkouchi, J.-C. Pesquet, A. Repetti, and H. Talbot, Learning truly monotone operators with applications to nonlinear inverse problems, Accepted for publication in SIAM Journal on Imaging Sciences, November 2024. [pdf]
J24 - T. V. Le, A. Repetti, and N. Pustelnik, Unfolded proximal neural network for robust image Gaussian denoising, Accepted for publication in IEEE Transaction on Image Processing, August 2024. [pdf]
J23 - C. S. Garcia, M. Larchevêque, Solal O'Sullivan, M. Van Waerebeke, R. R. Thomson, A. Repetti, and J.-C. Pesquet, A primal-dual data-driven method for computational optical imaging with a photonic lantern, Accepted for publication in PNAS Nexus, March 2024. [pdf] [Python toolbox]
J22 - A. M. Rambojun, H. Komber, J. Rossdale, J. Suntharalingam, J. C. L. Rodrigues, M. J. Ehrhardt, and A. Repetti, Uncertainty Quantification in CT pulmonary angiography. PNAS Nexus, vol. 3, no. 1, Jan. 2024, pgad404. [pdf] [Python toolbox]

C20 - G. Lauga, A. Repetti, E. Riccietti, N. Pustelnik, P. Goncalves, and Y. Wiaux, A multilevel framework for accelerating uSARA in radio-interferometric imaging. Accepted for EUSIPCO 2024, Lyon, France, August 2024. [pdf]

IC17 - X. Wang, M. Benning and A. Repetti, A lifted Bregman strategy for training unfolded proximal neural network Gaussian denoisers. Accepted for IEEE International Workshop on Machine Learning and Image Processing 2024, London, UK, Sept. 2024. [pdf]

-- 2023 -- 

J21 - P.-A. Thouvenin, A. Repetti, and P. Chainais. A Distributed Gibbs Sampler with Hypergraph Structure for High-Dimensional Inverse Problems. Accepted for publication in Journal of Computational and Graphical Statistics, Oct. 2023. [pdf] [Python toolbox]
J20 - P.-A. Thouvenin, A. Abdulaziz, A. Dabbech, A. Repetti, and Y. Wiaux. Parallel faceted imaging in radio interferometry via proximal splitting (Faceted HyperSARA): I. Algorithm and simulations. Monthly Notices of the Royal Astronomical Society, vol. 521, no. 1, pp. 1-19, May 2023. [pdf] 

C19 - J.-B. Fest, A. Repetti, and E. Chouzenoux. A new non-convex framework to improve asymptotical knowledge on generic stochastic gradient descent. In Proceedings of IEEE International Workshop on Machine Learning and Image Processing (MLSP 2023), Rome, Italy 17-20 September 2023. [pdf]
C18 - P.-A. Thouvenin, A. Repetti, and P. Chainais. Un algorithme MCMC distribué pour la résolution de problèmes inverses en grande dimension. In Actes du 28e colloque GRETSI, Brest, France, 3-6 Septembre 2023. [pdf] [Python toolbox]
IC16* - P. L. Combettes, J.-C. Pesquet, and A. Repetti, A variational inequality model for learning neural networks, In Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Rhodes Island, Greece, June 2023. [pdf]

-- 2022 -- 

C17 - P.-A. Thouvenin, A. Repetti, and P. Chainais. A versatile distributed MCMC algorithm for large scale inverse problems. In Proceedings of the 30th European Signal Processing Conference (EUSIPCO 2022), Belgrade, Serbia, Aug. 2022. [pdf] [Python toolbox]

IC15 - A. Repetti, M. Terris, Y. Wiaux, and J.-C. Pesquet. Dual Forward-Backward Unfolded Network for Flexible Plug-and-Play. In Proceedings of the 30th European Signal Processing Conference (EUSIPCO 2022), Belgrade, Serbia, Aug. 2022. [pdf] 

-- 2021 -- 

J19 - M. Pesce, A. Repetti, Anna Auría, Alessandro Daducci, Jean-Philippe Thiran, and Y. Wiaux. Fast Fiber Orientation Estimation in Diffusion MRI from kq-Space Sampling and Anatomical Priors.  Journal of Imaging, vol. 7, no.10, pp. 226, Oct. 2021. [pdf] 
J18 - A. Dabbech, A. Repetti, R. Perley, O. Smirnov, and Y. Wiaux. Cygnus A jointly calibrated and imaged via non-convex optimisation from JVLA data. Monthly Notices of the Royal Astronomical Society, vol. 506, no. 4, pp. 4855--4876, October 2021 [pdf] [matlab toolbox]
J17* - J.-C. Pesquet, A. Repetti, M. Terris, and Y. Wiaux. Learning Maximally Monotone Operators for Image Recovery. SIAM Journal on Imaging Sciences, vol. 14, no. 3, pp. 1206-1237, Aug. 2021. [pdf] [Python toolbox]
J16* - A. Repetti, and  Y. Wiaux. Variable Metric Forward-Backward Algorithm for Composite Minimization Problems.  SIAM Journal on Optimization, vol. 31, no. 2, pp. 1215-1241, May 2021. [pdf]  [matlab toolbox]
J15 - C. Tasse, T. Shimwell, M.J. Hardcastle, S.P. O'Sullivan, R. van Weeren, P.N. Best, L. Bester, B. Hugo, O. Smirnov, J. Sabater, G. Calistro-Rivera, F. de Gasperin, L.K. Morabito, H. Röttgering, W.L. Williams, M. Bonato, M. Bondi, A. Botteon, M. Brüggen, G. Brunetti, K.T. Chyży, M.A. Garrett, G. Gürkan, M.J. Jarvis, R. Kondapally, S. Mandal, I. Prandoni, A. Repetti, E. Retana-Montenegro, D.J. Schwarz, A. Shulevski, Y. Wiaux. The LOFAR Two Meter Sky Survey: Deep Fields, I -- Direction-dependent calibration and imagingAstronomy & Astrophysics, vol. 648, no. A1, Apr. 2021. [pdf]  

C16 - M. Terris, A. Repetti, J.-C. Pesquet, and Y. Wiaux. Enhanced convergent PnP algorithms for image restoration. In Proceedings of 2021 IEEE International Conference on Image Processing (ICIP), 2021, pp. 1684-1688, Anchorage, Alaska, 19-22 Sept. 2021. [pdf]

-- 2020 -- 

J14 - D. Choudhury, D. K. McNicholl, A. Repetti, I. Gris-Sánchez, S. Li, D. B. Phillips, G. Whyte,  T. A. Birks,  Y. Wiaux, and R. R. Thomson. Computational optical imaging with a photonic lantern.  Nature Communications, vol. 11, no. 1, pp. 5217,Oct. 2020. [pdf]  [matlab toolbox] [Python toolbox]
J13 - J. Birdi, A. Repetti, and Y. Wiaux. Polca SARA - Full polarization, direction-dependent calibration and sparse imaging for radio interferometry.  Monthly Notices of the Royal Astronomical Society (MNRAS), vol. 492, no. 3, pp. 3509--3528, March 2020. [pdf]  
J12 - R. Duarte, A. Repetti, P. A. Gómez, M. Davies, and Y. Wiaux. Greedy Approximate Projection for Magnetic Resonance Fingerprinting with Partial Volumes.  Inverse Problems, vol. 36, no. 3, pp. 035015, Feb. 2020. [pdf] 

C15 - H. L. Bester, A. Repetti, S. Perkins, O. M. Smirnov, J. S. Kenyon. A practical preconditioner for wide-field continuum imaging of radio interferometric data. In ADASS XXX, ASP Conference Series, pp. 5--58, Granada, Spain 8-12 Nov. 2020. [pdf] [poster]
C14 - D. McNicholl, S. Li, D. Choudhury, A. Repetti, I. Gris-Sauchez, G. Whyte, T. A. Birks, D. B. Phillips, Y. Wiaux, and R. R. Thomson. Towards Photonic Lantern-Based Microendoscopy. In 14th Pacific Rim Conference on Lasers and Electro-Optics (CLEO PR 2020), OSA Technical Digest (Optical Society of America, 2020), paper C10D_5, Sydney, Australia, 3-5 August 2020. [pdf] [matlab toolbox]
C13 - A. Repetti and Y. Wiaux. A forward-backward algorithm for reweighted procedures: Application to radio-astronomical imaging. In Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Barcelona, Spain, 4-8 Mai 2020. [pdf] [matlab toolbox]

IC14 - M. Terris, A. Repetti, J.-C. Pesquet, and Y. Wiaux. Building firmly nonexpansive convolutional neural networks. In Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 8658-8662, Barcelona, Spain, 4-8 May 2020. [pdf] 

-- 2019 -- 

J11 - A. Lyons, F. Tonolini, A. Boccolini, A. Repetti, R. Henderson, Y. Wiaux, and D. Faccio. Computational time-of-flight diffuse optical tomography. Nature Photonics, vol. 13, pp. 575–579, May 2019. [pdf]  
J10 - A. Repetti, M. Pereyra, and Y. Wiaux. Scalable Bayesian uncertainty quantification in imaging inverse problems via convex optimization. SIAM Journal on Imaging Sciences, vol. 12, no. 1, pp. 87-118,  2019. [pdf] [matlab toolbox] [Python toolbox for CT imaging - see ref 22]

C12 - A. Abdulaziz, A. Repetti, and Y. Wiaux. Hyperspectral Uncertainty Quantification by Optimization. In Proceedings of Signal Processing with Adaptive Sparse Structured Representations workshop (SPARS 2019), Toulouse, France, 1-4 July 2019. [matlab toolbox]
C11 - M. Terris, A. Abdulaziz, A. Dabbech, M. Jiang, A. Repetti, J.-C. Pesquet and Y. Wiaux. Deep Post-Processing for Sparse ImageDeconvolution. In Proceedings of Signal Processing with Adaptive Sparse Structured Representations workshop (SPARS 2019), Toulouse, France, 1-4 July 2019.
C10 - A. Dabbech, A. Repetti, and Y. Wiaux. Self Direction-Dependent Calibration for Wideband Radio-Interferometric Imaging. In Proceedings of international Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop, Villars-sur-Ollon, Switzerland, 3-8 February 2019. [pdf] [matlab toolbox]
C9 - R. Duarte Coello, A. Repetti, and Y. Wiaux. Self-Calibration for Magnetic Resonance Fingerprinting. In Proceedings of international Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop, Villars-sur-Ollon, Switzerland, 3-8 February 2019. [pdf] 

IC13 - P.-A. Thouvenin, A. Abdulaziz, M. Jiang, A. Repetti, A. Dabbech, and Y. Wiaux. A Faceted Prior for Scalable Wideband Imaging: Application to Radio Astronomy. In Proceedings of IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), Le Gosier, Guadeloupe, 15-18 December 2019. [pdf] 
IC12 - M. Pesce, A. Repetti, and Y. Wiaux. Fast Spatially Coherent Fiber Orientation Estimation in Diffusion MRI from kq-Space Sampling. In Proceedings of IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), Le Gosier, Guadeloupe, 15-18 December 2019. [pdf] 
IC11 - A. Repetti, M. Pereyra, and Y. Wiaux. Uncertainty Quantification in Astro-Imaging by Optimisation. In Proceedings of international Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop, Villars-sur-Ollon, Switzerland, 3-8 February 2019. [pdf] [matlab toolbox]

-- 2018 -- 

J9 - J. Birdi, A. Repetti, and Y. Wiaux. Sparse interferometric Stokes imaging under polarization constraint (Polarized SARA). Monthly Notices of the Royal Astronomical Society, vol. 478, no. 4, pp. 4442-4463, Aug. 2018.  [pdf]

C8 - A. Lyons, A. Boccolini, F. Tonolini, A. Repetti, Z. Chen, J. Leach, R. Henderson, Y. Wiaux, and D. Faccio. Diffuse Time-of-flight Imaging with a Single-Photon Camera. In Imaging and Applied Optics 2018 (3D, AO, AIO, COSI, DH, IS, LACSEA, LS&C, MATH, pcAOP), OSA Technical Digest (Optical Society of America, 2018), paper CM2E.6, Orlando, Florida, United States, 25-28 June 2018. [article] 

IC10 - S. Naghibzedeh, A. Repetti, A.-J van der Veen, and Y. Wiaux. Facet-Based Regularization for Scalable Radio-Interferometric Imaging. In Proceedings of the 26th European Signal Processing Conference (EUSIPCO 2018), Rome, Italy, 3-8 Sept. 2018. [pdf] 
IC9 - A. Repetti, M. Pereyra and Y. Wiaux. Uncertainty Quantification in Imaging: When Convex Optimization Meets Bayesian Analysis. In Proceedings of the 26th European Signal Processing Conference (EUSIPCO 2018), Rome, Italy, 3-8 Sept. 2018.[pdf] [matlab toolbox]
IC8 - M. Pesce, A. Repetti and Y. Wiaux. Fast kq-Space Sampling with Motion-Induced Phase in Diffusion MRI. In Proceedings of the IEEE SAM 2018 workshop, Sheffield, UK, pp. 420-424, 8-11 July 2018. [pdf] 
IC7 - P. A. Thouvenin, A. Repetti, A. Dabbech and Y. Wiaux. Time-Regularized Blind Deconvolution Approach for Radio Interferometry. In Proceedings of the IEEE SAM 2018 workshop, Sheffield, UK, pp. 475-479, 8-11 July 2018. [pdf] 
IC6 - J. Birdi, A. Repetti and Y. Wiaux. Scalable Algorithm for Polarization Constrained Sparse Interferometric Stokes Imaging. In Proceedings of the IEEE SAM 2018 workshop, Sheffield, UK, pp. 465-469, 8-11 July 2018. [pdf]  

-- 2017 -- 

J8 - A. Repetti, J. Birdi, A. Dabbech, and Y. Wiaux. Non-convex optimization for self-calibration of direction-dependent effects in radio interferometric imaging. Monthly Notices of the Royal Astronomical Society, vol. 470, no. 4, pp. 3981-4006, Oct. 2017.  [pdf][matlab toolbox]
J7 - J. Birdi, A. Repetti, and Y. Wiaux. A regularized tri-linear approach for optical interferometric imaging. Monthly Notices of the Royal Astronomical Society, vol. 468, no. 1, pp. 1142-1155, Feb. 2017.  [pdf]

C7 - A. Repetti and Y. Wiaux. A non-convex perspective on calibration and imaging in radio interferometry. In Proceedings of the conference on Wavelets and Sparsity XVII, part of the SPIE Optical Engineering + Applications, San Diego, California, United States, 6-9 August 2017. [pdf] [matlab toolbox]
C6 - A. Repetti, J. Birdi, and Y. Wiaux. Non-convex blind deconvolution approach for sparse radio-interferometric imaging. In Proceedings of the Signal Processing with Adaptive Sparse Structured Representations (SPARS 2017), Lisbon, Portugal, 5-8 June 2017. [pdf] [poster] 
C5 - J. Birdi, A. Repetti, and Y. Wiaux. Sparsity regularized optical interferometric imaging. In Proceedings of the Signal Processing with Adaptive Sparse Structured Representations (SPARS 2017), Lisbon, Portugal, 5-8 June 2017. [pdf]  
IC5 - A. Repetti, J. Birdi, and Y. Wiaux. Joint imaging and DDEs calibration for radio interferometry. In Proceedings of international Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop, page 25, Villars-sur-Ollon, Switzerland, 29 January-3 February 2017. [pdf] [matlab toolbox]

-- 2016 -- 

J6 - A. Onose, R. E. Carrillo, A. Repetti, J. D. McEwen, J.-P. Thiran, J.-C. Pesquet, and Y. Wiaux. Scalable splitting algorithms for big-data interferometric imaging in the SKA era. Monthly Notices of the Royal Astronomical Society, vol. 462, no. 4, pp. 4314-4335, Aug. 2016.  [pdf]
J5* - E. Chouzenoux, J.-C. Pesquet and A. Repetti. A Block Coordinate Variable Metric Forward-Backward Algorithm. J. Global Optim, vol. 66, no. 3, pp. 457-485, Nov. 2016.  [pdf]

-- 2015 -- 

J4* - J.-C. Pesquet and A. Repetti. A Class of Randomized Primal-Dual Algorithms for Distributed Optimization. J. Nonlinear Convex Anal., vol. 16, no. 12, pp. 2353-2490, December, 2015. [pdf]
J3* - G. Moerkotte, M. Montag, A. Repetti and G. Steidl. Proximal Operator of Quotient Functions with Application to a Feasibility Problem in Query Optimization. J. Comput. Appl. Math., vol. 285, pp. 243-255, Sept. 2015. [pdf] 
J2 - A. Repetti, M. Q. Pham, L. Duval, E. Chouzenoux and J.-C. Pesquet. Euclid in a Taxicab: Sparse Blind Deconvolution with Smoothed l1/l2 Regularization. IEEE Signal Processing Letters., vol. 22, no. 5, pp. 539-543, May 2015.  [pdf] [poster at ICASSP 2015] [toolbox]

C4 - A. Repetti, E. Chouzenoux and J.-C. Pesquet. A random block-coordinate primal-dual proximal algorithm with application to 3D mesh denoising. In Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2015), Brisbane, Australie, 19-24 April 2015. [pdf] [poster] 

IC4 - A. Repetti, E. Chouzenoux and J.-C. Pesquet. Un petit tutoriel sur les méthodes primales-duales pour l'optimisation convexe. In Actes du 25e colloque GRETSI, Lyon, France, 8-11 Septembre 2015. [pdf] 
IC3 - A. Repetti, E. Chouzenoux and J.-C. Pesquet. A parallel block-coordinate approach for primal-dual splitting with arbitrary random block selection. In Proceedings of the European Signal Processing Conference (EUSIPCO 2015), Nice, France, 31 Août-4 Septembre 2015. [pdf] 
IC2 - A. Repetti, E. Chouzenoux and J.-C. Pesquet. Proximal primal-dual optimization methods. In Proceedings of international Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop, page 25, Villars-sur-Ollon, Switzerland, 25-30 January 2015. [pdf]  

-- 2014 -- 

J1* - E. Chouzenoux, J.-C. Pesquet and A. Repetti. Variable Metric Forward-Backward Algorithm for Minimizing the Sum of a Differentiable Function and a Convex Function. J. Optim. Theory and Appl., vol.162, no. 1, pp. 107-132, Jul. 2014.  [pdf][toolbox]

C3 - A. Repetti, E. Chouzenoux and J.-C. Pesquet. A Nonconvex Regularized Approach for Phase Retrieval. In Proceedings of the IEEE International Conference on Image Processing (ICIP 2014), Paris, France, 27-30 Octobre 2014. [pdf] [poster]

IC1 - A. Repetti, E. Chouzenoux and J.-C. Pesquet. A Preconditioned Forward-Backward Approach with Application to Large-Scale Nonconvex Spectral Unmixing Problems. In Proceedings of the 39th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2014), pp. 1498-1502, Florence, Italie, 4-9 May 2014. [pdf] [slides]

-- 2013 -- 

C2 - A. Repetti, E. Chouzenoux and J.-C. Pesquet. Reconstruction d'image en présence de bruit gaussien dépendant par un algorithme Explicite-Implicite à métrique variable. In Actes du 24e colloque GRETSI, Brest, France, 3-6 Septembre 2013. [abstract] [pdf] [slides] [toolbox]

-- 2012 -- 

C1 - A. Repetti, E. Chouzenoux and J.-C. Pesquet. A Penalized Weighted Least Squares Approach for Restoring Data Corrupted with Signal-Dependent Noise. In Proceedings of the 20th European Signal Processing Conference (EUSIPCO 2012), pp. 1553-1557, Bucarest, Roumanie, 27-31 August 2012. [pdf] [poster]