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Spectral analysis provides one of the most effective paradigms for information-preserving dimensionality reduction, as simple descriptions of naturally occurring signals are often obtained via few terms of periodic basis functions. In this…

Machine Learning · Computer Science 2022-11-29 Michael Poli , Stefano Massaroli , Federico Berto , Jinykoo Park , Tri Dao , Christopher Ré , Stefano Ermon

Airport performance prediction with a reasonable look-ahead time is a challenging task and has been attempted by various prior research. Traffic, demand, weather, and traffic management actions are all critical inputs to any prediction…

Machine Learning · Computer Science 2021-11-09 Liya Wang , Alex Tien , Jason Chou

The special affine Fourier transform (SAFT) is a promising tool for analyzing non-stationary signals with more degrees of freedom. However, the SAFT fails in obtaining the local features of non-transient signals due to its global kernel and…

Functional Analysis · Mathematics 2020-06-11 Firdous A. Shah , Azhar Y. Tantary , Aajaz A. Teali

Recently, we proposed short-time Fourier transform (STFT)-based loss functions for training a neural speech waveform model. In this paper, we generalize the above framework and propose a training scheme for such models based on spectral…

Audio and Speech Processing · Electrical Eng. & Systems 2019-04-09 Shinji Takaki , Hirokazu Kameoka , Junichi Yamagishi

The continuous wavelet transform (CWT) is a linear time-frequency representation and a powerful tool for analyzing non-stationary signals. The synchrosqueezing transform (SST) is a special type of the reassignment method which not only…

Signal Processing · Electrical Eng. & Systems 2019-09-27 Lin Li , Haiyan Cai , Qingtang Jiang

High-Frequency (HF) signals are ubiquitous in the industrial world and are of great use for monitoring of industrial assets. Most deep learning tools are designed for inputs of fixed and/or very limited size and many successful applications…

Machine Learning · Computer Science 2022-03-03 Gabriel Michau , Gaetan Frusque , Olga Fink

Time series forecasting is crucial for various applications, such as weather, traffic, electricity, and energy predictions. Currently, common time series forecasting methods are based on Transformers. However, existing approaches primarily…

Machine Learning · Computer Science 2025-09-30 Zixu Wang , Hongbin Dong , Xiaoping Zhang

Time series data analysis is a critical component in various domains such as finance, healthcare, and meteorology. Despite the progress in deep learning for time series analysis, there remains a challenge in addressing the non-stationary…

Machine Learning · Computer Science 2025-09-12 Han Yu , Peikun Guo , Akane Sano

Time series foundation models (TSFMs) have recently achieved remarkable success in universal forecasting by leveraging large-scale pretraining on diverse time series data. Complementing this progress, incorporating frequency-domain…

Machine Learning · Computer Science 2026-04-14 Shunyu Wu , Jiawei Huang , Weibin Feng , Boxin Li , Xiao Zhang , Erli Meng , Dan Li , Jian Lou , See-Kiong Ng

We develop the basic building blocks of a frequency domain framework for drawing statistical inferences on the second-order structure of a stationary sequence of functional data. The key element in such a context is the spectral density…

Statistics Theory · Mathematics 2013-05-10 Victor M. Panaretos , Shahin Tavakoli

In multivariate time series forecasting, the Transformer architecture encounters two significant challenges: effectively mining features from historical sequences and avoiding overfitting during the learning of temporal dependencies. To…

Machine Learning · Computer Science 2024-04-30 Han Zhou , Yuntian Chen

Discrete transforms, such as the discrete Fourier transform, are widely used in machine learning to improve model performance by extracting meaningful features. However, with numerous transforms available, selecting an appropriate one often…

Machine Learning · Computer Science 2025-05-09 Gekko Budiutama , Shunsuke Daimon , Hirofumi Nishi , Yu-ichiro Matsushita

Time-series forecasting plays an important role in many real-world scenarios, such as equipment life cycle forecasting, weather forecasting, and traffic flow forecasting. It can be observed from recent research that a variety of…

Machine Learning · Computer Science 2022-06-14 Benhan Li , Shengdong Du , Tianrui Li , Jie Hu , Zhen Jia

Time series forecasting is prevalent in extensive real-world applications, such as financial analysis and energy planning. Previous studies primarily focus on time series modality, endeavoring to capture the intricate variations and…

Machine Learning · Computer Science 2024-10-08 Jiaxiang Dong , Haixu Wu , Yuxuan Wang , Li Zhang , Jianmin Wang , Mingsheng Long

Forecasting long-term time series in IoT environments remains a significant challenge due to the non-stationary and multi-scale characteristics of sensor signals. Furthermore, error accumulation causes a decrease in forecast quality when…

Machine Learning · Computer Science 2025-11-10 Qianyang Li , Xingjun Zhang , Peng Tao , Shaoxun Wang , Yancheng Pan , Jia Wei

The Transformer is a highly successful deep learning model that has revolutionised the world of artificial neural networks, first in natural language processing and later in computer vision. This model is based on the attention mechanism…

Machine Learning · Computer Science 2023-05-09 Riccardo Ughi , Eugenio Lomurno , Matteo Matteucci

Radio frequency (RF) wireless power transfer (WPT) is a promising technology for sustainable support of massive Internet of Things (IoT). However, RF-WPT systems are characterized by low efficiency due to channel attenuation, which can be…

Signal Processing · Electrical Eng. & Systems 2024-05-08 Amirhossein Azarbahram , Onel L. A. López , Petar Popovski , Shashi Raj Pandey , Matti Latva-aho

Transformer-based models have gained large popularity and demonstrated promising results in long-term time-series forecasting in recent years. In addition to learning attention in time domain, recent works also explore learning attention in…

Similarity measures for time series are important problems for time series classification. To handle the nonlinear time distortions, Dynamic Time Warping (DTW) has been widely used. However, DTW is not learnable and suffers from a trade-off…

Computer Vision and Pattern Recognition · Computer Science 2023-09-14 Shinnosuke Matsuo , Xiaomeng Wu , Gantugs Atarsaikhan , Akisato Kimura , Kunio Kashino , Brian Kenji Iwana , Seiichi Uchida

Accurate forecasting of passenger flows is critical for maintaining the efficiency and resilience of airport operations. Recent advances in patch-based Transformer models have shown strong potential in various time series forecasting tasks.…

Machine Learning · Computer Science 2025-12-16 Wenbo Du , Lingling Han , Ying Xiong , Ling Zhang , Biyue Li , Yisheng Lv , Tong Guo