Kymatio: Scattering Transforms in Python
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Abstract (arXiv)
The wavelet scattering transform is an invariant signal representation suitable for many signal processing and machine learning applications. We present the Kymatio software package, an easy-to-use, high-performance Python implementation of the scattering transform in 1D, 2D, and 3D that is compatible with modern deep learning frameworks. All transforms may be executed on a GPU (in addition to CPU), offering a considerable speed up over CPU implementations. The package also has a small memory footprint, resulting inefficient memory usage. The source code, documentation, and examples are available undera BSD license at https://www.kymat.io/
Key facts. Cited by 58 papers in the map (data through 14 Oct 2026). First posted on arXiv 28 Dec 2018.
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Citing papers per year: 2021: 12; 2022: 11; 2023: 9; 2024: 9; 2025: 5; 2026: 12.
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- 2021Learning curves of generic features maps for realistic datasets with a teacher-student modelcited by 126
- 2022Learning Operators with Coupled Attentioncited by 90
- 2022NOMAD: Nonlinear Manifold Decoders for Operator Learningcited by 83
- 2021Fully Learnable Deep Wavelet Transform for Unsupervised Monitoring of High-Frequency Time Seriescited by 29
- 2022Gaussian Universality of Perceptrons with Random Labelscited by 26
- 2023Are Gaussian data all you need? Extents and limits of universality in high-dimensional generalized linear estimationcited by 26
- 2021Parametric Scattering Networkscited by 16
- 2021A Bayesian neural network predicts the dissolution of compact planetary systemscited by 15
- 2021ScatSimCLR: self-supervised contrastive learning with pretext task regularization for small-scale datasetscited by 9
- 2021InQSS: a speech intelligibility and quality assessment model using a multi-task learning networkcited by 7
- 2021Equivariant Wavelets: Fast Rotation and Translation Invariant Wavelet Scattering Transformscited by 6
- 2021Phase Collapse in Neural Networkscited by 5
38 more
- 2023Riesz feature representation: scale equivariant scattering network for classification taskscited by 4
- 2023Divergences in Color Perception between Deep Neural Networks and Humanscited by 4
- 2024Space-scale Exploration of the Poor Reliability of Deep Learning Models: the Case of the Remote Sensing of Rooftop Photovoltaic Systemscited by 4
- 2024Tackling the Accuracy-Interpretability Trade-off in a Hierarchy of Machine Learning Models for the Prediction of Extreme Heatwavescited by 4
- 2022Monogenic Wavelet Scattering Network for Texture Image Classificationcited by 3
- 2022Physics-assisted Generative Adversarial Network for X-Ray Tomographycited by 3
- 2022TRUST-LAPSE: An Explainable and Actionable Mistrust Scoring Framework for Model Monitoringcited by 3
- 2023Heart Murmur and Abnormal PCG Detection via Wavelet Scattering Transform & a 1D-CNNcited by 3
- 2024WhaleNet: a Novel Deep Learning Architecture for Marine Mammals Vocalizations on Watkins Marine Mammal Sound Databasecited by 3
- 2026WaveScat: Wavelet Scattering Front-Ends with Self-Supervised Features for Speech Deepfake Detectioncited by 3
- 2023Mesostructures: Beyond Spectrogram Loss in Differentiable Time-Frequency Analysiscited by 2
- 2023Wavelets Beat Monkeys at Adversarial Robustnesscited by 2
- 2025Wavelet Scattering Transform and Fourier Representation for Offline Detection of Malicious Clients in Federated Learningcited by 2
- 2022Efficient Hybrid Network: Inducting Scattering Featurescited by 1
- 2022Differentiable Time-Frequency Scattering on GPUcited by 1
- 2022Multi-Resolution Online Deterministic Annealing: A Hierarchical and Progressive Learning Architecturecited by 1
- 2023Perceptual-Neural-Physical Sound Matchingcited by 1
- 2023MV-MR: multi-views and multi-representations for self-supervised learning and knowledge distillationcited by 1
- 2024Integrating Graph Neural Networks with Scattering Transform for Anomaly Detectioncited by 1
- 2024Simulation-based inference with scattering representations: scattering is all you needcited by 1
- 2024TRENDy: Temporal Regression of Effective Nonlinear Dynamicscited by 1
- 2025The Maximal Overlap Discrete Wavelet Scattering Transform and Its Application in Classification Taskscited by 1
- 2025VDW-GNNs: Vector diffusion wavelets for geometric graph neural networkscited by 1
- 2026Scale-Equivariant Generative Forecasting: Weight-Tied Dilated Convolutions, Wavelet Scattering Inputs, and Spectral-Consistency Training for Self-Similar Time Seriescited by 1
- 2021Dynamic Texture Recognition via Nuclear Distances on Kernelized Scattering Histogram Spacescited by 0
- 2021Reference-based Texture transfer for Single Image Super-resolution of Magnetic Resonance imagescited by 0
- 2021CXR-Net: An Artificial Intelligence Pipeline for Quick Covid-19 Screening of Chest X-Rayscited by 0
- 2021Towards the One Learning Algorithm Hypothesis: A System-theoretic Approachcited by 0
- 2022Radar-based Materials Classification Using Deep Wavelet Scattering Transform: A Comparison of Centimeter vs. Millimeter Wave Unitscited by 0
- 2022Attention-Based Scattering Network for Satellite Imagerycited by 0
- 2023Mallat Scattering Transformation based surrogate for MagnetoHydroDynamicscited by 0
- 2024Mean-Field Microcanonical Gradient Descentcited by 0
- 2024Hyperspectral Reconstruction of Skin Through Fusion of Scattering Transform Featurescited by 0
- 2024Enhanced Wavelet Scattering Network for image inpainting detectioncited by 0
- 2025Explainable and Class-Revealing Signal Feature Extraction via Scattering Transform and Constrained Zeroth-Order Optimizationcited by 0
- 2025Simulation-informed deep learning for enhanced SWOT observations of fine-scale ocean dynamicscited by 0
- 2026Scattering Transform for Auditory Attention Decodingcited by 0
- 2026Bayesian Scattering: A Principled Baseline for Uncertainty on Image Datacited by 0
50 most cited of 58 All 58 (JSON)
- 2026WaSA: Wavelet Scattering Autoencoders for Unsupervised Offline Detection of Malicious Clients in Federated Learning9 Oct 2026
- 2026Specific Algorithmic Interpretability of Neural Networks: A Case Study on Textures3 Oct 2026
- 2026RIPPLE in Still Water: Zero-Shot Clustering in Federated Learning with Wavelet Scattering Transform2 Oct 2026
- 2026WST-Graph: Topology-Preserving Wavelet Scattering Front-End for Speech Deepfake Detection24 Sep 2026
- 2026ChatImage: Navigating Long-Form LLM Answers through Interactive Images6 Jul 2026
- 2026Wavelet Scattering Transform for Interpretable Schizophrenia Biomarker Discovery and Classification from Resting-State EEG6 Jul 2026
- 2026Let's Ask Gauss: Improved One-Run Privacy Auditing10 Jun 2026
- 2026Scale-Equivariant Generative Forecasting: Weight-Tied Dilated Convolutions, Wavelet Scattering Inputs, and Spectral-Consistency Training for Self-Similar Time Series17 May 2026
- 2026TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information8 May 2026
- 2026Bayesian Scattering: A Principled Baseline for Uncertainty on Image Data21 Mar 2026
- 2026Scattering Transform for Auditory Attention Decoding26 Feb 2026
- 2026WaveScat: Wavelet Scattering Front-Ends with Self-Supervised Features for Speech Deepfake Detection3 Feb 2026
38 more
- 2025VDW-GNNs: Vector diffusion wavelets for geometric graph neural networks1 Oct 2025
- 2025Wavelet Scattering Transform and Fourier Representation for Offline Detection of Malicious Clients in Federated Learning11 Jun 2025
- 2025The Maximal Overlap Discrete Wavelet Scattering Transform and Its Application in Classification Tasks23 May 2025
- 2025Simulation-informed deep learning for enhanced SWOT observations of fine-scale ocean dynamics27 Mar 2025
- 2025Explainable and Class-Revealing Signal Feature Extraction via Scattering Transform and Constrained Zeroth-Order Optimization8 Feb 2025
- 2024TRENDy: Temporal Regression of Effective Nonlinear Dynamics4 Dec 2024
- 2024Simulation-based inference with scattering representations: scattering is all you need11 Oct 2024
- 2024Tackling the Accuracy-Interpretability Trade-off in a Hierarchy of Machine Learning Models for the Prediction of Extreme Heatwaves1 Oct 2024
- 2024Enhanced Wavelet Scattering Network for image inpainting detection25 Sep 2024
- 2024Space-scale Exploration of the Poor Reliability of Deep Learning Models: the Case of the Remote Sensing of Rooftop Photovoltaic Systems31 Jul 2024
- 2024Integrating Graph Neural Networks with Scattering Transform for Anomaly Detection16 Apr 2024
- 2024Hyperspectral Reconstruction of Skin Through Fusion of Scattering Transform Features15 Apr 2024
- 2024Mean-Field Microcanonical Gradient Descent13 Mar 2024
- 2024WhaleNet: a Novel Deep Learning Architecture for Marine Mammals Vocalizations on Watkins Marine Mammal Sound Database20 Feb 2024
- 2023Divergences in Color Perception between Deep Neural Networks and Humans11 Sep 2023
- 2023Riesz feature representation: scale equivariant scattering network for classification tasks17 Jul 2023
- 2023Wavelets Beat Monkeys at Adversarial Robustness19 Apr 2023
- 2023MV-MR: multi-views and multi-representations for self-supervised learning and knowledge distillation21 Mar 2023
- 2023Heart Murmur and Abnormal PCG Detection via Wavelet Scattering Transform & a 1D-CNN12 Mar 2023
- 2023Are Gaussian data all you need? Extents and limits of universality in high-dimensional generalized linear estimation17 Feb 2023
- 2023Mallat Scattering Transformation based surrogate for MagnetoHydroDynamics8 Feb 2023
- 2023Mesostructures: Beyond Spectrogram Loss in Differentiable Time-Frequency Analysis24 Jan 2023
- 2023Perceptual-Neural-Physical Sound Matching7 Jan 2023
- 2022Multi-Resolution Online Deterministic Annealing: A Hierarchical and Progressive Learning Architecture15 Dec 2022
- 2022Attention-Based Scattering Network for Satellite Imagery21 Oct 2022
- 2022TRUST-LAPSE: An Explainable and Actionable Mistrust Scoring Framework for Model Monitoring22 Jul 2022
- 2022NOMAD: Nonlinear Manifold Decoders for Operator Learning7 Jun 2022
- 2022Gaussian Universality of Perceptrons with Random Labels26 May 2022
- 2022Differentiable Time-Frequency Scattering on GPU18 Apr 2022
- 2022Physics-assisted Generative Adversarial Network for X-Ray Tomography7 Apr 2022
- 2022Efficient Hybrid Network: Inducting Scattering Features29 Mar 2022
- 2022Monogenic Wavelet Scattering Network for Texture Image Classification25 Feb 2022
- 2022Radar-based Materials Classification Using Deep Wavelet Scattering Transform: A Comparison of Centimeter vs. Millimeter Wave Units8 Feb 2022
- 2022Learning Operators with Coupled Attention4 Jan 2022
- 2021Towards the One Learning Algorithm Hypothesis: A System-theoretic Approach4 Dec 2021
- 2021InQSS: a speech intelligibility and quality assessment model using a multi-task learning network4 Nov 2021
- 2021Phase Collapse in Neural Networks11 Oct 2021
- 2021ScatSimCLR: self-supervised contrastive learning with pretext task regularization for small-scale datasets31 Aug 2021
50 newest of 58 All 58 (JSON)
- 2022Learning Operators with Coupled Attentioncited by 90
- 2022NOMAD: Nonlinear Manifold Decoders for Operator Learningcited by 83
- 2021Fully Learnable Deep Wavelet Transform for Unsupervised Monitoring of High-Frequency Time Seriescited by 29
- 2022Gaussian Universality of Perceptrons with Random Labelscited by 26
- 2023Are Gaussian data all you need? Extents and limits of universality in high-dimensional generalized linear estimationcited by 26
- 2021Parametric Scattering Networkscited by 16
- 2021A Bayesian neural network predicts the dissolution of compact planetary systemscited by 15
- 2021ScatSimCLR: self-supervised contrastive learning with pretext task regularization for small-scale datasetscited by 9
- 2021InQSS: a speech intelligibility and quality assessment model using a multi-task learning networkcited by 7
- 2021Equivariant Wavelets: Fast Rotation and Translation Invariant Wavelet Scattering Transformscited by 6
- 2021Phase Collapse in Neural Networkscited by 5
- 2023Riesz feature representation: scale equivariant scattering network for classification taskscited by 4
12 most cited of 56 All 56 (JSON)
- 2026WaSA: Wavelet Scattering Autoencoders for Unsupervised Offline Detection of Malicious Clients in Federated Learning9 Oct 2026
- 2026Specific Algorithmic Interpretability of Neural Networks: A Case Study on Textures3 Oct 2026
- 2026RIPPLE in Still Water: Zero-Shot Clustering in Federated Learning with Wavelet Scattering Transform2 Oct 2026
- 2026WST-Graph: Topology-Preserving Wavelet Scattering Front-End for Speech Deepfake Detection24 Sep 2026
- 2026ChatImage: Navigating Long-Form LLM Answers through Interactive Images6 Jul 2026
- 2026Wavelet Scattering Transform for Interpretable Schizophrenia Biomarker Discovery and Classification from Resting-State EEG6 Jul 2026
- 2026Let's Ask Gauss: Improved One-Run Privacy Auditing10 Jun 2026
- 2026Scale-Equivariant Generative Forecasting: Weight-Tied Dilated Convolutions, Wavelet Scattering Inputs, and Spectral-Consistency Training for Self-Similar Time Series17 May 2026
- 2026TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information8 May 2026
- 2026Bayesian Scattering: A Principled Baseline for Uncertainty on Image Data21 Mar 2026
- 2026Scattering Transform for Auditory Attention Decoding26 Feb 2026
- 2026WaveScat: Wavelet Scattering Front-Ends with Self-Supervised Features for Speech Deepfake Detection3 Feb 2026
12 newest of 56 All 56 (JSON)