Journal
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P. Abry, H. Wendt, S. Jaffard, G. Didier,
"Multivariate scale-free temporal dynamics: From spectral (Fourier) to fractal (wavelet) analysis,"
Comptes Rendus de l'Académie des Sciences, 2019. To appear.
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S. Jaffard, S. Seuret, H. Wendt, R. Leonarduzzi, P. Abry,
"Multifractal formalisms for multivariate analysis,"
Proc. Royal Society A, 2019. To appear.
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R. Leonarduzzi, P. Abry, H. Wendt, S. Jaffard, H. Touchette
"A Generalized Multifractal Formalism for the Estimation of Nonconcave Multifractal Spectra,"
IEEE Trans. Signal Proc., vol. 67, no. 1, pp. 110-119, 2019.
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D. La Rocca, N. Zilber, P. Abry, V. van Wassenhove, P. Ciuciu,
"Self-similarity and multifractality in human brain activity: A wavelet-based analysis of scale-free brain dynamics,"
Journal of Neuroscience Methods, 2018, vol. 309, pp. 175-187, 2018.
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P. Abry, G. Didier, L. Hui
"Two-step wavelet-based estimation for mixed Gaussian fractional processes,"
Statistical Inference for Stochastic Processes, 2018. In press.
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H. Wendt, P. Abry, K. Kiyono, J. Hayano, E. Watanabe, Y. Yamamoto,
"Wavelet p-Leader Non Gaussian Multiscale Expansions for Heart Rate Variability Analysis in Congestive Heart Failure Patients,"
IEEE T. Biomedical Engineering, vol. 66, no. 1, pp. 80-87, 2019.
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S. Jaffard, S. Seuret, H. Wendt, R. Leonarduzzi, S. Roux, P. Abry,
"Multivariate multifractal analysis,"
Applied Harmonic and Computational Analysis, vol. 46, no. 3, pp. 653-663, 2019.
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G. Valenza, H. Wendt, K. Kiyono, J. Hayano, E. Watanabe, Y. Yamamoto, P. Abry, R. Barbieri,
"Mortality Prediction in Severe Congestive Heart Failure Patients With Multifractal Point-Process Modeling of Heartbeat Dynamics," IEEE T. Biomedical Engineering, vol. 65, no. 10, pp. 2345-2354, 2018.
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P. Abry, G. Didier,
"Wavelet eigenvalue regression for n-variate operator fractional Brownian motion,"
Journal of Multivariate Analysis, vol. 168, pp. 75-104, 2018.
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P. Abry, J. Spilka, R. Leonarduzzi, V. Chudáček, N. Pustelnik, M. Doret
"Sparse learning for Intrapartum fetal heart rate analysis,"
Biomedical Physics and Engineering Express, vol. 4, pp 034002, 2018.
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R. Leonarduzzi, P. Abry, H. Wendt, K. Kiyono, Y. Yamamoto, E. Watanabe, J. Hayano,
"Scattering Transform of Heart Rate Variability for the Prediction of Ischemic Stroke in Patients with Atrial Fibrillation,"
Methods of Information in Medicine, vol. 57, no. 3, pp. 141-145, 2018.
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H. Wendt, S. Combrexelle, Y. Altmann, J.-Y. Tourneret, S. McLaughlin, P. Abry,
"Multifractal analysis of multivariate images using gamma Markov random field priors," SIAM J. on Imaging Sciences (SIIMS), vol. 11, no. 2, pp. 1294-1316, 2018.
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P. Abry, G. Didier,
"Wavelet estimation for operator fractional Brownian motion"
Bernoulli, vol. 24(2), pp. 895-928, 2018.
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H. Wendt, G. Didier, S. Combrexelle, P. Abry,
"Multivariate Hadamard self-similarity: testing fractal connectivity," Physica D, vol. 356-357, pp. 1-36, 2017.
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S. Jaffard, B. Martin,
"Multifractal analysis of the Brjuno function,"
Inventiones Mathematicae, vol 212, no. 1, pp 109-132. 2018.
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R. Leonarduzzi, H. Wendt, P. Abry, S. Jaffard, C. Melot,
"Finite resolution effects in p-leader multifractal analysis," IEEE T. Signal Proces., vol. 65, no. 13, pp. 3359-3368, 2017.
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R. Fontugne, P. Abry, K. Fukuda, D. Veitch, K. Cho, P. Borgnat, H. Wendt,
"Scaling in Internet Traffic: a 14 year and 3 day longitudinal study, with multiscale analyses and random projections,"
IEEE/ACM T. Networking, vol. 25, no. 4, 2017.
Conference
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C. Boniece, H. Wendt, G. Didier, P. Abry,
"Wavelet-based detection and estimation of fractional Levy signals in high dimensions,"
IEEE Int. Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), Guadeloupe, France, Dec. 2019.
To appear.
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P. Abry, R. Leonarduzzi, H. Wendt, S. Jaffard, S. Seuret,
"A multivariate multifractal analysis of lacunary wavelet series,"
IEEE Int. Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), Guadeloupe, France, Dec. 2019.
To appear.
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B.C. Boniece, G. Didier, H. Wendt, P. Abry,
"On Multivariate non-Gaussian Scale Invariance: Fractional Lévy Processes and Wavelet Estimation,"
European Signal Processing Conference (EUSIPCO), A Coruna, Spain, Sept. 2019.
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V. van Wassenhove, D. LaRocca, D. Engemann, P. Ciuciu,
"Temporal attention and comodulation in multisensory causal inference,"
IEEE Int. Congress on Acoustics, Aachen, Germany, Sept. 2019.
To appear.
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H. Wendt, P. Abry, G. Didier,
"Bootstrap-based bias reduction for the estimation of the self-similarity exponents of multivariate time series,"
IEEE Int. Conf. Acoust., Speech, and Signal Proces. (ICASSP), Brighton, U.K., May 2019.
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G. Didier, H. Wendt, P. Abry,
"Detection and estimation of delays in bivariate self-similarity: bootstrapped complex wavelet coherence,"
IEEE Int. Conf. Acoust., Speech, and Signal Proces. (ICASSP), Brighton, U.K., May 2019.
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O. D. Domingues, P. Ciuciu, D. La Rocca, P. Abry, H. Wendt,
"Multifractal analysis for cumulant-based epilectic seizure detection in EEG time series,"
IEEE International Symposium on Biomedical Imaging (ISBI), 2019.
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D. La Rocca, P. Ciuciu, V. van Wassenhove, H. Wendt, P. Abry, R. Leonarduzzi,
"Scale-free Functional Connectivity Analysis from Source Reconstructed MEG Data",
Proc. European Signal Proc. Conf. (EUSIPCO), 2018.
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R. Leonarduzzi, P. Abry. S. Roux, H. Wendt, S. Jaffard, S. Seuret,
"On multifractal characterization for bivariate data,"
Proc. European Signal Proc. Conf. (EUSIPCO). 2018.
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H. Wendt, P. Abry, G. Didier, "Wavelet domain bootstrap for testing the equality of bivariate self-similarity exponents,"
IEEE Workshop Statistical Signal Proces. (SSP), Freiburg, Germany, June 2018.
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P. Abry, H. Wendt, G. Didier, "Detecting and Estimating Multivariate Self-Similar Sources in High-Dimensional Noisy Mixtures,"
IEEE Workshop Statistical Signal Proces. (SSP), Freiburg, Germany, June 2018.
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H. Wendt, R. Leonarduzzi, P. Abry, S. Roux, S. Jaffard, S. Seuret,
"Assessing cross-dependencies using bivariate multifractal analysis,"
Proc. IEEE Int. Conf. Acoust., Speech, and Signal Proc. (ICASSP), April 2018.
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H. Wendt, P. Ciuciu, P. Abry,
"Spatially regularized wavelet leader scale-free analysis of fMRI data,"
IEEE International Symposium on Biomedical Imaging (ISBI), Washington D.C., USA, April 2018.
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P. Ciuciu, H. Wendt, S. Combrexelle, P. Abry,
"Spatially regularized multifractal analysis for fMRI Data,"
International IEEE EMBS Conference (EMBC), Jeju, South Korea, July 2017.
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S. Combrexelle, H. Wendt, G. Didier, P. Abry,
"Multivariate Scale-free dynamics: Testing Fractal Connectivity,"
IEEE Int. Conf. Acoust., Speech, and Signal Proces. (ICASSP), New Orleans, USA, March 2017.
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R. Leonarduzzi, P. Abry, S. Jaffard, H. Wendt, L. Gournay, T. Kyriacopoulou, C. Martineau, C. Martinez,
"P-Leader Multifractal Analysis for Text Type Identification,"
IEEE Int. Conf. Acoust., Speech, and Signal Proces. (ICASSP), New Orleans, USA, March 2017.
Talks, Seminars and Non-Specialist Audience
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International Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop, Villars-sur-Ollon, Switzerland (3-8/02/2019)
Bayesian Estimation for the Multifractal Analysis of Multivariate Images.
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GdR ISIS, Paris, France (08/02/2018)
A Bayesian estimator for the multifractal analysis of multivariate data.
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CIMPA Research School: Harmonic Analysis, Geometric Measure Theory and Applications, University of Buenos Aires (31.07.2017)
Multivariate Self-similarity: Multiscale eigen structures for the estimation of Hurst exponents
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CIMPA Research School: Harmonic Analysis, Geometric Measure Theory and Applications, University of Buenos Aires (31.07.2017)
Multifractal analysis based on wavelet bases: Part 1. Mathematical foundations and p-leaders analysis
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CIMPA Research School: Harmonic Analysis, Geometric Measure Theory and Applications, University of Buenos Aires (31.07.2017)
Multifractal analysis based on wavelet bases: Part 2. Estimation, Bayesian models and multivariate data
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Séminaire Cristolien d'Analyse Multifractale (SCAM), Université Paris XII (27.04.2017)
Analyse multifractale pour l'identification de types littéraires