Wavelet Methods

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Overview

Wavelet methods decompose signals into coarse trends and localized details, making them useful when important patterns vary in scale or occur briefly in time or space. Common approaches include discrete and continuous wavelet transforms, scattering features, and adaptive or lifting-based decompositions, often combined with neural networks for forecasting, image and audio analysis, and partial differential equations. Current work explores trainable wavelet bases and their use in transformers, neural operators, and generative models, alongside efficient implementations and new filter designs. A central tension is how to balance localization, stability, and information preservation against transform cost and the need for broad receptive fields; the best basis and decomposition depth can depend strongly on the task.

Latest papers

CardsList

49 papers4 papers in the last four weeks, down 43% on the four weeks before. 0.0% of all new papers.

  1. Scale-aware and spatially-localised optimisation of kilometre-scale MLWP models

    Oct 27, 2026James Chappell, Sophie Luise Arana, Jack Bowyer +13Weather ForecastingSpatiotemporal Forecasting

    Met Office, Exeter, United Kingdom · The Alan Turing Institute, London, United Kingdom

  2. LowNet: Looped Wavelet Neural Networks with 24 Learnable Parameters for Solving Poisson Equations

    Oct 18, 2026Yuanhao GongPDE SolvingNeural PDE Solvers

    Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences

  3. SETAREH Transform: A Sorting-Assisted Haar-Wavelet Sparsification Method for Approximate Inner-Product Computation

    Oct 16, 2026Seyed Kamaledin SetarehdanApproximate ComputingWavelet Methods

    Control and Intelligent Processing Centre of Excellence, School of Electrical and Computer Engineering, College of Engineering, University of Tehran, Tehran, Iran

  4. DSTNet: Dynamic Spectral Trajectory Network for Causal Multi-Horizon Financial Forecasting

    Oct 7, 2026Aashish Bohra, Lokendra VishwakarmFinancial ForecastingTime Series Forecasting

    Department of Computer Science and Engineering, Indian Institute of Technology Jodhpur, Jodhpur, Rajasthan 342030, India · School of Computing and Data Sciences, FLAME University, Pune Maharashtra, India

  5. WNet: Discrete Wavelets Transform for Efficient Token Mixing

    Oct 3, 2026Rana Aref Salama, Abdou Youssef, Mona DiabTransformerSelf-Attention

    George Washington University, Washington DC, USA · Faculty of Computers and Artificial Intelligence, Cairo University, Egypt · Carnegie Mellon University, Pittsburgh, Pennsylvania, USA

  6. WST-Graph: Topology-Preserving Wavelet Scattering Front-End for Speech Deepfake Detection

    Sep 24, 2026Kwok-Ho Ng, Tingting Song, Bingwen Feng +1Audio Deepfake DetectionWavelet Methods

    College of Cyber Security, Jinan University, Guangzhou, China

  7. Neuralized Multi-Wavelet Decomposition for Time Series Classification and Forecasting

    Sep 24, 2026Xiaohan Jiang, Jingyuan Wang, Jiahao Ji +3Time Series ClassificationFrequency-Domain Feature Learning

    School of Computer Science and Engineering, Beihang University, Beijing, China · School of Computer Science and Engineering and the School of Economics and Management, Beihang University, Beijing, China · School of Computer Science and Engineering, Beihang University, Beijing, China, and are also with the MOE Engineering Research Center of Advanced Computer Application Technology, Beihang University, China +1

  8. Evaluating Cross-region Generalization for Wavelet-Diffusion Precipitation Downscaling

    Sep 23, 2026Weikang Qian, Yixin Wen, Chugang Yi +3Spatial GeneralizationPrecipitation Downscaling

    University of Florida, Department of Geography, Gainesville, FL, USA · School of Marine and Atmospheric Sciences, Stony Brook University, Stony Brook, NY, USA · Institute for Advanced Computational Science, Stony Brook University, NY, USA +5

  9. Notes on Fourier-Bessel wavelets

    Sep 22, 2026Marcel Venturotti, Georgios ExarchakisWavelet Methods

    Department of Computer Science, University of Bath.

  10. Recovering Lost Details: Multi-Scale Frequency Compensation for Long-Term Time Series Forecasting

    Sep 21, 2026Runmin Zou, Siyi Xie, Yaohui Huang +1Long-Term Time Series ForecastingTime Series Forecasting

    Central South University Changsha, Hunan, China

  11. Processing and classifying bird songs using wavelet techniques and supervised learning

    Sep 9, 2026Laura Lucia Dominguez Barrios, Fidel Aniano Causil Barrios, Alex Rodrigo dos Santos Sousa +1Wavelet MethodsBioacoustics

    Department of Statistics, State University of Campinas, Campinas, Brazil

  12. Layerwise Tunable Lifting Scheme for the Convolutional Neural Network

    Sep 9, 2026Abdumannon Yovkochov, An Le, Sungbal Seo +2Wavelet MethodsConvolutional Neural Networks

    Electrical and Computer Engineering Department, University of California San Diego, La Jolla, CA 92093, USA · Department of Computer Engineering, Tech University of Korea, Siheung 15073, Korea

  13. Beyond Pairwise Graphs in Science: Hypergraph Adaptive Wavelet Operators for Parametric PDEs

    Aug 28, 2026Rajat Sarkar, Venkataramana Runkana, Souvik ChakrabortyPDE Operator LearningHypergraph Neural Networks

    Department of Applied Mechanics Indian Institute of Technology Delhi New Delhi, 110016, India · TCS Research Tata Consultancy Services, India · Department of Applied Mechanics Yardi School of Artificial Intelligence (ScAI) Indian Institute of Technology Delhi New Delhi, 110016, India

  14. Is Haar Enough? Exploring Symlets and Coiflets for Wavelet Convolution Layers

    Aug 18, 2026Md Rifat Ur RahmanWavelet MethodsConvolutional Neural Networks

    Bangladesh Univeristy of Engineering and Technology

  15. New Orthogonal Multiwavelet Filters Derived by Matrix Spectral Factorization

    Aug 12, 2026Vasil Kolev, Todor Cooklev, Fritz KeinertWavelet MethodsImage Denoising

    Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Bl. 2, Acad. G. Bonchev St., 1113 Sofia, Bulgaria · Wireless Technology Center, Purdue University, Fort Wayne, IN 46805, USA · Department of Mathematics, Iowa State University, Ames, IA 50011, USA

  16. Fast and Memory-Efficient Wavelet Convolutions via I/O-Aware Reformulation

    Aug 11, 2026Amit Aflalo, Shahaf E. Finder, Roy Amoyal +2GPU Kernel OptimizationWavelet Methods

    The Stein Faculty of Computer and Information Science, Ben-Gurion University of the Negev, Israel

  17. UAV-Based Environmental Monitoring of Rip-Current Indicators Using Wavelet-Derived Texture Features

    Aug 3, 2026Yonatan Ben Avraham, Baruch Binyaminov, Yehudit ApersteinWavelet MethodsUAV Remote Sensing

    1Intelligent Systems, Afeka Academic College of Engineering, Tel Aviv 6998812, Israel

  18. Multilevel Graph Wavelet Compressed Sensing with Scale-Aware Neural Recovery

    Jul 23, 2026Amirhossein Nouranizadeh, Sarang Rajendra Patil, Alan John Varghese +3Graph Signal ProcessingSparse Recovery

    Simplicial Technologies Inc., Toronto, ON, Canada · Department of Data Science, New Jersey Institute of Technology, Newark, NJ · School of Engineering, Brown University, Providence, RI +2

  19. Drift-Aware RL-based Wavelet Denoising for Network-Traffic Anomaly Detection

    Jul 22, 2026Priyalakshmi Sheela, Indrakshi DeyReinforcement LearningConcept Drift

    Walton Institute, Department of Computing, South East Technological University, Waterford, Ireland

  20. LiNO: Lifting based multiresolution neural operator

    Jul 2, 2026Himanshu Pandey, Subham Patel, Ratikanta BeheraWavelet MethodsPDE Operator Learning

    Department of Computational and Data Sciences, Indian Institute of Science, Bangalore 560012, India · IISc Mathematics Initiative, Department of Mathematics, Indian Institute of Science, Bangalore, 560012, India

  21. Speaking Numbers to LLMs: Multi-Wavelet Number Embeddings for Time Series Forecasting

    Jun 25, 2026Defu Cao, Zijie Lei, Muyan Weng +2Time Series ForecastingTokenization

    University of Southern California · Meta · Google DeepMind

  22. A Physics-Informed Fourier-Wavelet Transformer for Multiscale Computational Fluid Dynamics Surrogate Modeling

    Jun 23, 2026Somyajit Chakraborty, Ming Pan, Xizhong ChenSurrogate ModelingPDE Surrogate Modeling

    Shanghai Jiao Tong University, Department of Chemistry and Chemical Engineering 800 Dongchuan Road, Minhang District, Shanghai, 200240, China

  23. PHAST-Net: Attention-Guided, Physics-Informed Network for Estimation of Ideal Time-Frequency Representations

    Jun 22, 2026James M. Cozens, Simon J. GodsillAudio Representation LearningWavelet Methods

    Engineering Department, University of Cambridge, CB2 1PZ Cambridge, U.K.

  24. Spiking Pyramid Wavelet Transformation for High-efficient and Low-energy Image Restoration

    Jun 17, 2026Chen Zhao, Xiantao Hu, Song Wu +5Efficient Neural Network InferenceWavelet Methods

    School of Intelligence Science and Technology, Nanjing University, Suzhou, 215163, Jiangsu, China · PCA Lab, Key Lab of Intelligent Perception and Systems for High-Dimensional Information of Ministry of Education, School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, China · China Mobile Institute, Beijing, 100032, China +1

  25. WaveDINO: Learning-Based Atmospheric Correction of Unwrapped InSAR Interferograms Validated by GNSS: Results at Laguna del Maule and Campi Flegrei Volcanoes

    Jun 15, 2026Robert Popescu, Juliet Biggs, Tianyuan Zhu +1Remote SensingWavelet Methods

    University of Bristol, Bristol, U.K.

  26. Variational Network with Wavelet-based UNET in Accelerated MRI Reconstruction from Under Sampled K-space Data

    Jun 13, 2026Yasir Arafat Prodhan, Shaikh Anowarul FattahU-NetWavelet Methods

    Department of Electrical and Electronic Engineering, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh · This paper was produced by the IEEE Publication Technology Group. They are in Piscataway, NJ.

  27. Stain-Aware Wavelet Regularization for Instant Adversarial Purification in Histopathology

    Jun 7, 2026Zhe Li, Bernhard KainzComputational PathologyAdversarial Robustness

    FAU Erlangen-Nürnberg Erlangen, Germany · Imperial College London London, UK

  28. Wavelet as Tokenizer: Preliminary Results on a Shared Wavelet Token Schema for Natural Signals

    May 30, 2026Shenghao DingWavelet MethodsMultimodal Token Compression

    Yet Another AI

  29. ChWDTA: Channel-wise Wavelet-Domain Transformer Attention and Entropy Modeling for Learned Image Compression

    May 27, 2026Haisheng Fu, Runyu Yang, Feng Ding +5Learned Image CompressionHybrid CNN-Transformer Architectures

    Electrical and Computer Engineering Department, The University of British Columbia, Vancouver, BC, Canada · School of Engineering Science, Simon Fraser University, Burnaby, BC, Canada · School of Electronic Science and Technology, Eastern Institute of Technology, Ningbo, China +1

  30. Classification and detection of multiple UAVs using rational Gaussian wavelet neural networks

    May 25, 2026Ungvári Gergő, Ferenc Braun, Attila Ámon +4Wavelet MethodsAerial Object Detection

    Department of Numerical Analysis, Eötvös Loránd University, Pázmány Péter sétány, Budapest, 1117, Hungary. · System and Control Laboratory, HUN-REN Institute for Computer Science and Control, Kende utca, Budapest, 1111, Hungary. · HUN-REN Centre for Energy Research, Konkoly-Thege Miklós út, Budapest, 1121, Hungary. +3