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In the framework of wave packet analysis, finite wavelet systems are particular classes of finite wave packet systems. In this paper, using a scaling matrix on a permuted version of the discrete Fourier transform (DFT) of system generator,…

Functional Analysis · Mathematics 2017-06-01 Asghar Rahimi , Niloufar Seddighi

This paper presents a new approach for 3D shape generation, enabling direct generative modeling on a continuous implicit representation in wavelet domain. Specifically, we propose a compact wavelet representation with a pair of coarse and…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Ka-Hei Hui , Ruihui Li , Jingyu Hu , Chi-Wing Fu

In this paper we propose a generalization of deep neural networks called deep function machines (DFMs). DFMs act on vector spaces of arbitrary (possibly infinite) dimension and we show that a family of DFMs are invariant to the dimension of…

Machine Learning · Statistics 2017-11-08 William H. Guss

In recent work on time-series prediction, Transformers and even large language models have garnered significant attention due to their strong capabilities in sequence modeling. However, in practical deployments, time-series prediction often…

Machine Learning · Computer Science 2026-02-17 Wenxuan Xie , Fanpu Cao

To improve diagnostic accuracy of breast cancer detection, several researchers have used the wavelet-based tools, which provide additional insight and information for aiding diagnostic decisions. The accuracy of such diagnoses, however, can…

Methodology · Statistics 2022-01-25 Minkyoung Kang , William Auffermann , Brani Vidakovic

Cloud detection is a specialized application of image recognition and object detection using remotely sensed data. The task presents a number of challenges, including analyzing images obtained in visible, infrared and multi-spectral…

Signal Processing · Electrical Eng. & Systems 2020-07-28 Philippe Reiter

This paper introduces the Wave Transactional Filesystem (WTF), a novel, transactional, POSIX-compatible filesystem based on a new file slicing API that enables efficient file transformations. WTF provides transactional access to a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-28 Robert Escriva , Emin Gün Sirer

This work introduces a wavelet neural network to learn a filter-bank specialized to fit non-stationary signals and improve interpretability and performance for digital signal processing. The network uses a wavelet transform as the first…

Machine Learning · Computer Science 2022-05-09 Jason Stock , Chuck Anderson

TensorX is a Python library for prototyping, design, and deployment of complex neural network models in TensorFlow. A special emphasis is put on ease of use, performance, and API consistency. It aims to make available high-level components…

Machine Learning · Computer Science 2021-01-05 Davide Nunes , Luis Antunes

Many real-world networks are characterized by directionality; however, the absence of an appropriate Fourier basis hinders the effective implementation of graph signal processing techniques. Inspired by discrete signal processing, where…

Information Theory · Computer Science 2024-07-30 Ali Bagheri Bardi , Taher Yazdanpanah , Milos Dakovic , Ljubisa Stankovic

The heavy-tailed nature of precipitation intensity impedes precise precipitation nowcasting. Standard models that optimize pixel-wise losses are prone to regression-to-the-mean bias, which blurs extreme values. Existing Fourier-based…

Atmospheric and Oceanic Physics · Physics 2026-02-03 Baitian Liu , Haiping Zhang , Huiling Yuan , Dongjing Wang , Ying Li , Feng Chen , Hao Wu

Recent video diffusion foundation models have achieved remarkable progress in high-quality video generation, yet turning them into real-time interactive video world models remains challenging. Interactive world models require controllable,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Min Zhao , Hongzhou Zhu , Bokai Yan , Zihan Zhou , Yimin Chen , Wenqiang Sun , Kaiwen Zheng , Guande He , Xiao Yang , Chongxuan Li , Fan Bao , Jun Zhu

Long-term time series forecasting (LTSF) is hampered by the challenge of modeling complex dependencies that span multiple temporal scales and frequency resolutions. Existing methods, including Transformer and MLP-based models, often…

Machine Learning · Computer Science 2025-09-22 Qianyang Li , Xingjun Zhang , Shaoxun Wang , Jia Wei

Image inpainting, which refers to the synthesis of missing regions in an image, can help restore occluded or degraded areas and also serve as a precursor task for self-supervision. The current state-of-the-art models for image inpainting…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Pranav Jeevan , Dharshan Sampath Kumar , Amit Sethi

Visible-infrared object detection has gained sufficient attention due to its detection performance in low light, fog, and rain conditions. However, visible and infrared modalities captured by different sensors exist the information…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Wencong Wu , Xiuwei Zhang , Hanlin Yin , Shun Dai , Hongxi Zhang , Yanning Zhang

The combination of convolutional and recurrent neural networks is a promising framework that allows the extraction of high-quality spatio-temporal features together with its temporal dependencies, which is key for time series prediction…

We present ShapeFlow, a dynamic abstract interpreter for TensorFlow which quickly catches tensor shape incompatibility errors, one of the most common bugs in deep learning code. ShapeFlow shares the same APIs as TensorFlow but only captures…

Machine Learning · Computer Science 2020-11-30 Sahil Verma , Zhendong Su

Wavelet transformation stands as a cornerstone in modern data analysis and signal processing. Its mathematical essence is an invertible transformation that discerns slow patterns from fast ones in the frequency domain. Such an invertible…

Machine Learning · Computer Science 2022-01-28 Shuo-Hui Li

Electronic response properties of high-energy density (HED) systems influence planetary structure, drive evolution of fusion targets, and underpin diagnostics in laboratory astrophysics. Real-time time-dependent density functional theory…

Plasma Physics · Physics 2025-11-19 Alina Kononov , Minh Nguyen , Andrew D. Baczewski

Time-frequency representations (TFRs) of signals, such as the windowed Fourier transform (WFT), wavelet transform (WT) and their synchrosqueezed variants (SWFT, SWT), provide powerful analysis tools. However, there are many important issues…

Numerical Analysis · Mathematics 2014-05-27 Dmytro Iatsenko , Peter V. E. McClintock , Aneta Stefanovska
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