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Biomedical signal classification presents unique challenges due to long sequences, complex temporal dynamics, and multi-scale frequency patterns that are poorly captured by standard transformer architectures. We propose WaveFormer, a…

Machine Learning · Computer Science 2026-02-13 Habib Irani , Bikram De , Vangelis Metsis

In multivariable time series (MTS) forecasting, existing state-of-the-art deep learning approaches tend to focus on autoregressive formulations and often overlook the potential of using exogenous variables in enhancing the prediction of the…

Machine Learning · Computer Science 2025-04-03 Yuxuan Shu , Vasileios Lampos

The wavelet scattering transform creates geometric invariants and deformation stability. In multiple signal domains, it has been shown to yield more discriminative representations compared to other non-learned representations and to…

Characteristic scale is a notion that pervades the geophysical sciences, but it has no widely accepted precise definition. The wavelet transform decomposes a time series into coefficients that are associated with different scales. The…

Methodology · Statistics 2010-07-26 Michael J. Keim , Donald B. Percival

In deep time series forecasting, the Fourier Transform (FT) is extensively employed for frequency representation learning. However, it often struggles in capturing multi-scale, time-sensitive patterns. Although the Wavelet Transform (WT)…

Machine Learning · Computer Science 2026-02-09 Ziyu Zhou , Jiaxi Hu , Qingsong Wen , James T. Kwok , Yuxuan Liang

Deep image registration has demonstrated exceptional accuracy and fast inference. Recent advances have adopted either multiple cascades or pyramid architectures to estimate dense deformation fields in a coarse-to-fine manner. However, due…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Xinxing Cheng , Xi Jia , Wenqi Lu , Qiufu Li , Linlin Shen , Alexander Krull , Jinming Duan

We present a deep transformation model for probabilistic regression. Deep learning is known for outstandingly accurate predictions on complex data but in regression tasks, it is predominantly used to just predict a single number. This…

Machine Learning · Statistics 2020-04-02 Beate Sick , Torsten Hothorn , Oliver Dürr

In this paper, we apply a recently developed nonparametric modeling approach, the "diffusion forecast", to predict the time-evolution of Fourier modes of turbulent dynamical systems. While the diffusion forecasting method assumes the…

Chaotic Dynamics · Physics 2016-03-23 Tyrus Berry , John Harlim

This paper addresses the problem of detecting and characterizing local variability in time series and other forms of sequential data. The goal is to identify and characterize statistically significant variations, at the same time…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Jeffrey D. Scargle , Jay P. Norris , Brad Jackson , James Chiang

This paper addresses the problem of multi-step time series forecasting for non-stationary signals that can present sudden changes. Current state-of-the-art deep learning forecasting methods, often trained with variants of the MSE, lack the…

Machine Learning · Statistics 2022-02-18 Vincent Le Guen , Nicolas Thome

The appropriate weather prediction is a challenging task and it can be feasible with proper wind speed fluctuation analysis. In this current paper daubechies-4 wavelet is used to analyze the winter wind speed fluctuations due to lesser…

Computational Engineering, Finance, and Science · Computer Science 2016-12-06 Sabyasachi Mukhopadhyay , Prasanta K Panigrahi

When solving forecasting problems including multiple time-series features, existing approaches often fall into two extreme categories, depending on whether to utilize inter-feature information: univariate and complete-multivariate models.…

Artificial Intelligence · Computer Science 2024-08-20 Jaehoon Lee , Hankook Lee , Sungik Choi , Sungjun Cho , Moontae Lee

To address the complexity of financial time series, this paper proposes a forecasting model combining sliding window and variational mode decomposition (VMD) methods. Historical stock prices and relevant market indicators are used to…

Machine Learning · Computer Science 2025-08-22 Luke Li

We propose a new deep learning model, WaveCastNet, to forecast high-dimensional wavefields. WaveCastNet integrates a convolutional long expressive memory architecture into a sequence-to-sequence forecasting framework, enabling it to model…

Machine Learning · Computer Science 2025-10-28 Dongwei Lyu , Rie Nakata , Pu Ren , Michael W. Mahoney , Arben Pitarka , Nori Nakata , N. Benjamin Erichson

In this paper we propose a wavelet-based methodology for estimation and variable selection in partially linear models. The inference is conducted in the wavelet domain, which provides a sparse and localized decomposition appropriate for…

Methodology · Statistics 2016-09-26 Norbert Remenyi

A novel hybrid data-driven approach is developed for forecasting power system parameters with the goal of increasing the efficiency of short-term forecasting studies for non-stationary time-series. The proposed approach is based on mode…

Machine Learning · Computer Science 2014-04-10 Victor Kurbatsky , Nikita Tomin , Vadim Spiryaev , Paul Leahy , Denis Sidorov , Alexei Zhukov

Time series forecasting plays a crucial role in diverse fields, necessitating the development of robust models that can effectively handle complex temporal patterns. In this article, we present a novel feature selection method embedded in…

Machine Learning · Computer Science 2024-01-01 Raquel Espinosa , Fernando Jiménez , José Palma

Previous studies showed that hydro-climate processes are stochastic and complex systems, and it is difficult to discover the hidden patterns in the all non-stationary data and thoroughly understand the hydro-climate relationships. For the…

Applications · Statistics 2018-10-02 Jianhua Xu

Real-world time series are often governed by complex nonlinear dynamics. Understanding these underlying dynamics is crucial for precise future prediction. While deep learning has achieved major success in time series forecasting, many…

Machine Learning · Computer Science 2026-05-26 Abrar Majeedi , Viswanatha Reddy Gajjala , Satya Sai Srinath Namburi GNVV , Nada Magdi Elkordi , Yin Li

Transfer learning using deep neural networks as feature extractors has become increasingly popular over the past few years. It allows to obtain state-of-the-art accuracy on datasets too small to train a deep neural network on its own, and…

Machine Learning · Computer Science 2017-10-25 Vincent Gripon , Ghouthi B. Hacene , Matthias Löwe , Franck Vermet
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