Journal publications in mathematics

Published

J. Fageot, A. Fallah, M. Unser, Multidimensional Lévy White Noise in Weighted Besov Spaces, Stochastic Processes and their Applications, vol. 127, no. 5, pp. 1599-1621, 2017.

J. Fageot, M. Unser, J.P. Ward, On the Besov Regularity of Periodic Lévy Noises, Applied and Computational Harmonic Analysis, vol. 42, no. 1, pp. 21-36, 2017.

J. Fageot, E. Bostan, M. Unser, Wavelet Statistics of Sparse and Self-similar Images, SIAM Journal on Imaging Sciences, vol. 8, no. 4, pp. 2951-2975, 2015.

J. Fageot, A. Amini, M. Unser, On the Continuity of the Characteristic Functionals and Sparse Stochastic Modeling, Journal of Fourier Analysis and Applications, vol. 20, no. 6, pp. 1179-1211, 2014.

Under review (accessible on arXiv)

J. Fageot, T. Humeau, Unified View on Lévy White Noises: General Integrability Conditions and Applications to Linear SPDE, arXiv preprint arXiv:1708.02500, submitted to Probability Surveys, 2017.

J. Fageot, M. Unser, J.P. Ward, The n-term Approximation of Periodic Generalized Lévy Processes, arXiv preprint arXiv:1702.03335, submitted to Annals of Applied Probability, 2017.

J. Fageot, V. Uhlmann, M. Unser, Gaussian and Sparse Processes are Limits of Generalized Poisson Processes, arXiv preprint arXiv:1702.05003, submitted to Applied and Computational Harmonic Analysis, 2017.

J. Fageot, M. Unser, Scaling Limits of Solutions of linear SDE Driven by Lévy White Noises, arXiv preprint arXiv:1610.06711, submitted to Journal of Theoretical Probabiliy, 2016.

Journal publications in signal processing

Published

M. Unser, J. Fageot, H. Gupta, Representer Theorems for Sparsity-Promoting L1-Regularization, IEEE Transactions on Information Theory, vol. 62, no. 9, pp. 5167-5180, 2016.

V. Uhlmann, J. Fageot, M. Unser, Hermite Snakes with Control of Tangents, IEEE Transactions on Image Processing, vol. 25, no. 6, pp. 2803-2816, 2016.

M. Unser, J. Fageot, J.P. Ward, Splines are Universal Solutions of Linear Inverse Problems with Generalized-TV Regularization, SIAM Review, in press. [pdf]

Under review (accessible on arXiv)

D. Schmitter, J. Fageot, A. Badoual, P. Garcia-Amorena, M. Unser, Compactly-Supported Smooth Interpolators for Shape Modeling with Varying Resolution, preprint arXiv:1710.03617, submitted to Graphical Models.

Zs. Püspöki, A. Amini, J. Fageot, J.P. Ward, M. Unser, Angular Accuracy of Steerable Feature Detectors, preprint arXiv:1710.03631, submitted to IEEE Transactions on Signal Processing.

Book Chapters

A. Depeursinge, J. Fageot, O.S. Al-Kadi, Fundamentals of Texture Processing for Biomedical Image Analysis, Biomedical Texture Analysis, A. Depeursinge, O.S. Al-Kadi, J.R. Mitchell, Eds., Academic Press, Ch. 1, pp. 7-36, 2017.

A. Depeursinge, J. Fageot, Biomedical Texture Operators and Aggregation Functions, Biomedical Texture Analysis, A. Depeursinge, O.S. Al-Kadi, J.R. Mitchell, Eds., Academic Press, Ch. 3, pp. 63-100, 2017.

Conference Proceedings

J. Fageot, J.P. Ward, M. Unser, Interpretation of Continuous-time Autoregressive Processes as Random Exponential Splines, Sampling Theory and Applications (SampTA'15), Washington DC, USA, May, 2015, pp. 231-235.

J.P. Ward, J. Fageot, M. Unser, Compressibility of Symmetric-alpha-stable Processes, Sampling Theory and Applications (SampTA'15), Washington DC, USA, May, 2015, pp. 236-240.

V. Uhlmann, J. Fageot, M. Unser, Statistical Optimality of Hermite Splines, Sampling Theory and Applications (SampTA'15), Washington DC, USA, May, 2015, pp. 226-230.

J. Fageot, E. Bostan, M. Unser, Statistics of Wavelet Coefficients for Sparse Self-similar Images, International Conference on Image Processing (ICIP'2014), Paris, France, October, 2014, pp. 6096-6100.

E. Bostan, J. Fageot, U.S. Kamilov, M. Unser, MAP Estimators for Self-similar Sparse Stochastic Processes, Sampling Theory and Applications (SampTA'13), Bremen, Germany, July, 2013, pp. 197-199.

PhD Thesis

J. Faoget, Gaussian versus Sparse Stochastic Processes: Construction, Regularity, Compressibiilty, PhD Thesis, Swiss Federal Institute of Technology Lausanne (EPFL), under the supervision of Prof. M. Unser, 2017.