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Multivariate selfsimilarity
Estimation of the multivariate self-similarity parameters for operator fractional Brownian motions. Published in TSP.
Paper Toolbox More detailsContour detection in images
Automatic selection of the Discrete Mumford-Shah functional hyperparameter for parameter-free image reconstruction preserving contours. Published in SIVP.
Paper Toolbox More detailsActivity
I am currently a Postdoc in the Department of Mathematics at San Diego State University, California, USA. I am working on the 2D empirical wavelet transform under the supervision Jérôme Gilles. Empirical wavelets consist of adaptative wavelet filterbanks built from a partitioning of the Fourier domain of the data under study. I am developing wavelet frames defined on detected Fourier supports from any mother wavelet using diffeomorphisms.
Research topics
- Multivariate self-similarity: scaling exponents, wavelet transform, bootstrapping, statistical hypothesis testing, spectral clustering, high dimension.
- Image denoising and contour detection: Mumford-Shah model, hyperparameter tuning.
