A Theory for Multiresolution Signal Decomposition: The Wavelet Representation. - Stéphane Mallat (IEEE Trans. Pattern Anal. Mach. Intell., 1989)

Multifrequency channel decompositions of images and wavelet models. - Stéphane Mallat (IEEE Trans. Acoust. Speech Signal Process., 1989)

Compact image representation from multiscale edges. - Sifen Zhong; Stéphane Mallat (ICCV, 1990)

Signal characterization from multiscale edges. - Stéphane Mallat; Sifen Zhong (ICPR (1), 1990)

Compact image coding from edges with wavelets. - Stéphane Mallat; Sifen Zhong (ICASSP, 1991)

Zero-crossings of a wavelet transform. - Stéphane Mallat (IEEE Trans. Inf. Theory, 1991)

Singularities and noise discrimination with wavelets. - Wen-Liang Hwang; Stéphane Mallat (ICASSP, 1992)

Characterization of Signals from Multiscale Edges. - Stéphane Mallat; Sifen Zhong (IEEE Trans. Pattern Anal. Mach. Intell., 1992)

Introduction to the special issue on wavelet transforms and multiresolution signal analysis. - Ingrid Daubechies; Stéphane Mallat; Alan S. Willsky (IEEE Trans. Inf. Theory, 1992)

Singularity detection and processing with wavelets. - Stéphane Mallat; Wen-Liang Hwang (IEEE Trans. Inf. Theory, 1992)

Adaptive time-frequency transform. - Stéphane Mallat; Zhifeng Zhang (ICASSP (3), 1993)

Matching pursuits with time-frequency dictionaries. - Stéphane Mallat; Zhifeng Zhang (IEEE Trans. Signal Process., 1993)

Geometric interpretation of multiaccess joint detection and the alternating projection algorithm. - Rachel E. Learned; Stéphane Mallat; Bernhard Claus; Alan S. Willsky (ICASSP, 1995)

Best basis algorithm for signal enhancement. - Hamid Krim; Stéphane Mallat; David L. Donoho; Alan S. Willsky (ICASSP, 1995)

Matching pursuit of images. - F. Bergeaud; Stéphane Mallat (ICIP, 1995)

Multiscale geometrical feature extraction and object recognition with wavelets and morphology. - Seema Jaggi; Alan S. Willsky; William Clement Karl; Stéphane Mallat (ICIP (3), 1995)

Sound Signals Decomposition Using a High Resolution Matching Pursuit. - Rémi Gribonval; Philippe Depalle; Xavier Rodet; Emmanuel Bacry; Stéphane Mallat (ICMC, 1996)

Wavelets for a vision. - Stéphane Mallat (Proc. IEEE, 1996)

Wavelet interpolation networks. - Christophe P. Bernard; Stéphane Mallat; Jean-Jacques E. Slotine (ESANN, 1998)

Image Deconvolution in Mirror Wavelet Bases. - Jérôme Kalifa; Stéphane Mallat; Bernard Rougé (ICIP (1), 1998)

Low bit rate image coding over bases. - Frédéric Falzon; Stéphane Mallat (ICPR, 1998)

Analysis of low bit rate image transform coding. - Stéphane Mallat; Frédéric Falzon (IEEE Trans. Signal Process., 1998)

A Wavelet Tour of Signal Processing, 2nd Edition. - Stéphane Mallat (Academic Press, 1999)

Shape from Texture through Deformations. - Maureen Clerc; Stéphane Mallat (ICCV, 1999)

Thresholding estimators for minimax restoration and deconvolution. - Jérôme Kalifa; Stéphane Mallat (NSIP, 1999)

Silhouette recognition using high-resolution pursuit. - Seema Jaggi; William Clement Karl; Stéphane Mallat; Alan S. Willsky (Pattern Recognit., 1999)

On denoising and best signal representation. - Hamid Krim; Dewey Tucker; Stéphane Mallat; David L. Donoho (IEEE Trans. Inf. Theory, 1999)

Image Compression with Geometrical Wavelets. - Erwan Le Pennec; Stéphane Mallat (ICIP, 2000)

Bandelet representations for image compression. - Erwan Le Pennec; Stéphane Mallat (ICIP (1), 2001)

The Texture Gradient Equation for Recovering Shape from Texture. - Maureen Clerc; Stéphane Mallat (IEEE Trans. Pattern Anal. Mach. Intell., 2002)

Geometrical image compression with bandelets. - Erwan Le Pennec; Stéphane Mallat (VCIP, 2003)

Deconvolution by thresholding in mirror wavelet bases. - Jérôme Kalifa; Stéphane Mallat; Bernard Rougé (IEEE Trans. Image Process., 2003)

Locally stationary covariance and signal estimation with macrotiles. - David L. Donoho; Stéphane Mallat; Rainer von Sachs; Yann Samuelides (IEEE Trans. Signal Process., 2003)

Discrete bandelets with geometric orthogonal filters. - Gabriel Peyré; Stéphane Mallat (ICIP (1), 2005)

Bandelet Image Approximation and Compression. - Erwan Le Pennec; Stéphane Mallat (Multiscale Model. Simul., 2005)

Sparse geometric image representations with bandelets. - Erwan Le Pennec; Stéphane Mallat (IEEE Trans. Image Process., 2005)

Surface compression with geometric bandelets. - Gabriel Peyré; Stéphane Mallat (ACM Trans. Graph., 2005)

Audio Signal Denoising with Complex Wavelets and Adaptive Block Attenuation. - Guoshen Yu; Emmanuel Bacry; Stéphane Mallat (ICASSP (3), 2007)

A review of Bandlet methods for geometrical image representation. - Stéphane Mallat; Gabriel Peyré (Numer. Algorithms, 2007)

Audio Denoising by Time-Frequency Block Thresholding. - Guoshen Yu; Stéphane Mallat; Emmanuel Bacry (IEEE Trans. Signal Process., 2008)

A Wavelet Tour of Signal Processing - The Sparse Way, 3rd Edition. - Stéphane Mallat (Academic Press, 2009)

Structured pursuits for geometric super-resolution. - Stéphane Mallat; Guoshen Yu (ICIP, 2009)

Geometric models with co-occurrence groups. - Joan Bruna; Stéphane Mallat (ESANN, 2010)

Image modeling and enhancement via structured sparse model selection. - Guoshen Yu; Guillermo Sapiro; Stéphane Mallat (ICIP, 2010)

Super-Resolution With Sparse Mixing Estimators. - Stéphane Mallat; Guoshen Yu (IEEE Trans. Image Process., 2010)

Classification with scattering operators. - Joan Bruna; Stéphane Mallat (CVPR, 2011)

Multiscale Scattering for Audio Classification. - Joakim Andén; Stéphane Mallat (ISMIR, 2011)

Classification with invariant scattering representations. - Joan Bruna; Stéphane Mallat (IVMSP, 2011)

Group Invariant Scattering - Stéphane Mallat (CoRR, 2011)

Bandlet image estimation with model selection. - Charles Dossal; Erwan Le Pennec; Stéphane Mallat (Signal Process., 2011)

Combined scattering for rotation invariant texture analysis. - Laurent Sifre; Stéphane Mallat (ESANN, 2012)

Solving Inverse Problems With Piecewise Linear Estimators: From Gaussian Mixture Models to Structured Sparsity. - Guoshen Yu; Guillermo Sapiro; Stéphane Mallat (IEEE Trans. Image Process., 2012)

Rotation, Scaling and Deformation Invariant Scattering for Texture Discrimination. - Laurent Sifre; Stéphane Mallat (CVPR, 2013)

Scattering transform for intrapartum fetal heart rate characterization and acidosis detection. - Václav Chudácek; Joakim Andén; Stéphane Mallat; Patrice Abry; Muriel Doret (EMBC, 2013)

Representing environmental sounds using the separable scattering transform. - Carlo Bauge; Mathieu Lagrange; Joakim Andén; Stéphane Mallat (ICASSP, 2013)

Wavelet methods for shape perception in electro-sensing. - Habib Ammari; Stéphane Mallat; Irène Waldspurger; Han Wang (CoRR, 2013)

Audio Texture Synthesis with Scattering Moments. - Joan Bruna; Stéphane Mallat (CoRR, 2013)

Deep Learning by Scattering. - Stéphane Mallat (CoRR, 2013)

Invariant Scattering Convolution Networks. - Joan Bruna; Stéphane Mallat (IEEE Trans. Pattern Anal. Mach. Intell., 2013)

Low dimensional manifold embedding for scattering coefficients of intrapartum fetale heart rate variability. - Václav Chudácek; Ronen Talmon; Joakim Andén; Stéphane Mallat; Ronald R. Coifman; Patrice Abry; Muriel Doret (EMBC, 2014)

Audio source separation with time-frequency velocities. - Guy Wolf; Stéphane Mallat; Shihab A. Shamma (MLSP, 2014)

Unsupervised Deep Haar Scattering on Graphs. - Xu Chen; Xiuyuan Cheng; Stéphane Mallat (NIPS, 2014)

Unsupervised Learning by Deep Scattering Contractions. - Xu Chen; Xiuyuan Cheng; Stéphane Mallat (CoRR, 2014)

Phase retrieval for the Cauchy wavelet transform. - Stéphane Mallat; Irène Waldspurger (CoRR, 2014)

Generic Deep Networks with Wavelet Scattering. - Edouard Oyallon; Stéphane Mallat; Laurent Sifre (ICLR (Workshop Poster), 2014)

Rigid-Motion Scattering for Texture Classification. - Laurent Sifre; Stéphane Mallat (CoRR, 2014)

Scattering Transform for Intrapartum Fetal Heart Rate Variability Fractal Analysis: A Case-Control Study. - Václav Chudácek; Joakim Andén; Stéphane Mallat; Patrice Abry; Muriel Doret (IEEE Trans. Biomed. Eng., 2014)

Deep Scattering Spectrum. - Joakim Andén; Stéphane Mallat (IEEE Trans. Signal Process., 2014)

Deep roto-translation scattering for object classification. - Edouard Oyallon; Stéphane Mallat (CVPR, 2015)

Joint time-frequency scattering for audio classification. - Joakim Andén; Vincent Lostanlen; Stéphane Mallat (MLSP, 2015)

Deep Haar Scattering Networks. - Xiuyuan Cheng; Xu Chen; Stéphane Mallat (CoRR, 2015)

Quantum Energy Regression using Scattering Transforms. - Matthew J. Hirn; Nicolas Poilvert; Stéphane Mallat (CoRR, 2015)

Transformée en scattering sur la spirale temps-chroma-octave. - Vincent Lostanlen; Stéphane Mallat (CoRR, 2015)

Phase recovery, MaxCut and complex semidefinite programming. - Irène Waldspurger; Alexandre d'Aspremont; Stéphane Mallat (Math. Program., 2015)

Manifold Learning for Latent Variable Inference in Dynamical Systems. - Ronen Talmon; Stéphane Mallat; Hitten Zaveri; Ronald R. Coifman (IEEE Trans. Signal Process., 2015)

Inverse Problems with Invariant Multiscale Statistics. - Ivan Dokmanic; Joan Bruna; Stéphane Mallat; Maarten V. de Hoop (CoRR, 2016)

Wavelet Scattering on the Pitch Spiral. - Vincent Lostanlen; Stéphane Mallat (CoRR, 2016)

Understanding Deep Convolutional Networks. - Stéphane Mallat (CoRR, 2016)

Rigid Motion Model for Audio Source Separation. - Guy Wolf; Stéphane Mallat; Shihab A. Shamma (IEEE Trans. Signal Process., 2016)

Solid Harmonic Wavelet Scattering: Predicting Quantum Molecular Energy from Invariant Descriptors of 3D Electronic Densities. - Michael Eickenberg; Georgios Exarchakis; Matthew J. Hirn; Stéphane Mallat (NIPS, 2017)

Multiscale Hierarchical Convolutional Networks. - Jörn-Henrik Jacobsen; Edouard Oyallon; Stéphane Mallat; Arnold W. M. Smeulders (CoRR, 2017)

Wavelet Scattering Regression of Quantum Chemical Energies. - Matthew J. Hirn; Stéphane Mallat; Nicolas Poilvert (Multiscale Model. Simul., 2017)

Generative networks as inverse problems with Scattering transforms. - Tomás Angles; Stéphane Mallat (ICLR (Poster), 2018)

Music Generation and Transformation with Moment Matching-Scattering Inverse Networks. - Mathieu Andreux; Stéphane Mallat (ISMIR, 2018)

Solid Harmonic Wavelet Scattering for Predictions of Molecule Properties. - Michael Eickenberg; Georgios Exarchakis; Matthew J. Hirn; Stéphane Mallat; Louis Thiry (CoRR, 2018)

Classification with Joint Time-Frequency Scattering. - Joakim Andén; Vincent Lostanlen; Stéphane Mallat (CoRR, 2018)

Phase Harmonics and Correlation Invariants in Convolutional Neural Networks. - Stéphane Mallat; Sixin Zhang; Gaspar Rochette (CoRR, 2018)

Kymatio: Scattering Transforms in Python. - Mathieu Andreux; Tomás Angles; Georgios Exarchakis; Roberto Leonarduzzi; Gaspar Rochette; Louis Thiry; John Zarka; Stéphane Mallat; Joakim Andén; Eugene Belilovsky; Joan Bruna; Vincent Lostanlen; et al. (CoRR, 2018)

Maximum-entropy Scattering Models for Financial Time Series. - Roberto Leonarduzzi; Gaspar Rochette; Jean-Phillipe Bouchaud; Stéphane Mallat (ICASSP, 2019)

Statistical learning of geometric characteristics of wireless networks. - Antoine Brochard; Bartlomiej Blaszczyszyn; Stéphane Mallat; Sixin Zhang (INFOCOM, 2019)

Maximum Entropy Models from Phase Harmonic Covariances. - Sixin Zhang; Stéphane Mallat (CoRR, 2019)

Joint Time-Frequency Scattering. - Joakim Andén; Vincent Lostanlen; Stéphane Mallat (IEEE Trans. Signal Process., 2019)

Deep Network Classification by Scattering and Homotopy Dictionary Learning. - John Zarka; Louis Thiry; Tomás Angles; Stéphane Mallat (ICLR, 2020)

Kymatio: Scattering Transforms in Python. - Mathieu Andreux; Tomás Angles; Georgios Exarchakis; Roberto Leonarduzzi; Gaspar Rochette; Louis Thiry; John Zarka; Stéphane Mallat; Joakim Andén; Eugene Belilovsky; Joan Bruna; Vincent Lostanlen; et al. (J. Mach. Learn. Res., 2020)

Separation and Concentration in Deep Networks. - John Zarka; Florentin Guth; Stéphane Mallat (ICLR, 2021)

Generalized rectifier wavelet covariance models for texture synthesis. - Antoine Brochard; Sixin Zhang; Stéphane Mallat (ICLR, 2022)

Phase Collapse in Neural Networks. - Florentin Guth; John Zarka; Stéphane Mallat (ICLR, 2022)

Wavelet Score-Based Generative Modeling. - Florentin Guth; Simon Coste; Valentin De Bortoli; Stéphane Mallat (NeurIPS, 2022)

Scale Dependencies and Self-Similarity Through Wavelet Scattering Covariance. - Rudy Morel; Gaspar Rochette; Roberto Leonarduzzi; Jean-Philippe Bouchaud; Stéphane Mallat (CoRR, 2022)

Wavelet Conditional Renormalization Group. - Tanguy Marchand; Misaki Ozawa; Giulio Biroli; Stéphane Mallat (CoRR, 2022)

Particle gradient descent model for point process generation. - Antoine Brochard; Bartlomiej Blaszczyszyn; Sixin Zhang; Stéphane Mallat (Stat. Comput., 2022)

Learning multi-scale local conditional probability models of images. - Zahra Kadkhodaie; Florentin Guth; Stéphane Mallat; Eero P. Simoncelli (ICLR, 2023)

Conditionally Strongly Log-Concave Generative Models. - Florentin Guth; Etienne Lempereur; Joan Bruna; Stéphane Mallat (ICML, 2023)

A Rainbow in Deep Network Black Boxes. - Florentin Guth; Brice Ménard; Gaspar Rochette; Stéphane Mallat (CoRR, 2023)

Scattering Spectra Models for Physics. - Sihao Cheng; Rudy Morel; Erwan Allys; Brice Ménard; Stéphane Mallat (CoRR, 2023)

Generalization in diffusion models arises from geometry-adaptive harmonic representation. - Zahra Kadkhodaie; Florentin Guth; Eero P. Simoncelli; Stéphane Mallat (CoRR, 2023)

Generalization in diffusion models arises from geometry-adaptive harmonic representations. - Zahra Kadkhodaie; Florentin Guth; Eero P. Simoncelli; Stéphane Mallat (ICLR, 2024)

Hierarchic Flows to Estimate and Sample High-dimensional Probabilities. - Etienne Lempereur; Stéphane Mallat (CoRR, 2024)

Feature-guided score diffusion for sampling conditional densities. - Zahra Kadkhodaie; Stéphane Mallat; Eero P. Simoncelli (CoRR, 2024)

Elucidating the representation of images within an unconditional diffusion model denoiser. - Zahra Kadkhodaie; Stéphane Mallat; Eero P. Simoncelli (CoRR, 2025)

Beyond sparse denoising in frames: minimax estimation with a scattering transform. - Nathanaël Cuvelle-Magar; Stéphane Mallat (CoRR, 2025)