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The effectiveness of Spatio-temporal Graph Neural Networks (STGNNs) in time-series applications is often limited by their dependence on fixed, hand-crafted input graph structures. Motivated by insights from the Topological Data Analysis…

Machine Learning · Computer Science 2025-03-20 Viet The Nguyen , Duy Anh Pham , An Thai Le , Jans Peter , Gunther Gust

Recent studies have actively employed persistent homology (PH), a topological data analysis technique, to analyze the topological information in time series data. Many successful studies have utilized graph representations of time series…

Algebraic Topology · Mathematics 2025-12-15 Eunwoo Heo , Jae-Hun Jung

Multivariate time series forecasting is a pivotal task in several domains, including financial planning, medical diagnostics, and climate science. This paper presents the Neural Fourier Transform (NFT) algorithm, which combines…

Machine Learning · Computer Science 2024-05-24 Noam Koren , Kira Radinsky

Persistent homology (PH) is a recently developed theory in the field of algebraic topology to study shapes of datasets. It is an effective data analysis tool that is robust to noise and has been widely applied. We demonstrate a general…

Signal Processing · Electrical Eng. & Systems 2020-05-05 Yu-Min Chung , Chuan-Shen Hu , Yu-Lun Lo , Hau-Tieng Wu

Highly accurate different horizon-based wind speed forecasting facilitates a better modern power system. This paper proposed a novel astute hybrid wind speed forecasting model and applied it to different horizons. The proposed hybrid…

Signal Processing · Electrical Eng. & Systems 2024-09-02 M. Madhiarasan , Partha Pratim Roy

This article combines wavelet analysis techniques with machine learning methods for univariate time series forecasting, focusing on three main contributions. Firstly, we consider the use of Daubechies wavelets with different numbers of…

Methodology · Statistics 2024-03-14 Guy P Nason , James L. Wei

Accurate time series forecasting, predicting future values based on past data, is crucial for diverse industries. Many current time series methods decompose time series into multiple sub-series, applying different model architectures and…

Machine Learning · Computer Science 2024-11-19 Ronghui Han , Duanyu Feng , Hongyu Du , Hao Wang

Seasonal time series exhibit intricate long-term dependencies, posing a significant challenge for accurate future prediction. This paper introduces the Multi-scale Seasonal Decomposition Model (MSSD) for seasonal time-series forecasting.…

Machine Learning · Computer Science 2024-12-18 Yining Pang , Chenghan Li

Time series analysis and prediction methods currently excel in quantitative analysis, offering accurate future predictions and diverse statistical indicators, but generally falling short in elucidating the underlying evolution patterns of…

Machine Learning · Computer Science 2024-09-09 Yi Xie , Tianyu Qiu , Yun Xiong , Xiuqi Huang , Xiaofeng Gao , Chao Chen

Deep learning algorithms, especially Transformer-based models, have achieved significant performance by capturing long-range dependencies and historical information. However, the power of convolution has not been fully investigated.…

Machine Learning · Computer Science 2023-12-29 Zhihao Yu , Liantao Ma , Yasha Wang , Junfeng Zhao

Stochastic volatility models are the backbone of financial engineering. We study both continuous time diffusions as well as discrete time models. We propose two novel approaches to estimating stochastic volatility diffusions, one using…

Quantum Physics · Physics 2025-07-30 Eric Ghysels , Jack Morgan , Hamed Mohammadbagherpoor

Existing data-driven methods rely on the extraction of static features from time series to approximate the material removal rate (MRR) of semiconductor manufacturing processes such as chemical mechanical polishing (CMP). However, this leads…

Machine Learning · Computer Science 2025-12-08 Jonathan Adam Rico , Nagarajan Raghavan , Senthilnath Jayavelu

Monitoring of industrial processes is a critical capability in industry and in government to ensure reliability of production cycles, quick emergency response, and national security. Process monitoring allows users to gauge the progress of…

Machine Learning · Computer Science 2024-04-29 Erik Skau , Andrew Hollis , Stephan Eidenbenz , Kim Rasmussen , Boian Alexandrov

Many prediction problems across science and engineering, especially in finance and economics, involve large cross-sections of individual time series, where each unit (e.g., a loan, stock, or customer) is driven by unit-level features and…

Machine Learning · Computer Science 2025-10-14 Elliot L. Epstein , Apaar Sadhwani , Kay Giesecke

The Bayesian Hurst-Kolmogorov (HK) method estimates the Hurst exponent of a time series more accurately than the age-old detrended fluctuation analysis (DFA), especially when the time series is short. However, this advantage comes at the…

Quantitative Methods · Quantitative Biology 2023-01-31 Madhur Mangalam , Taylor Wilson , Joel Sommerfeld , Aaron D Likens

Accurate, low-latency estimates of the instantaneous phase of oscillations are essential for closed-loop sensing and actuation, including (but not limited to) phase-locked neurostimulation and other real-time applications. The…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Eike Osmers , Dorothea Kolossa

An emerging way to deal with high-dimensional non-euclidean data is to assume that the underlying structure can be captured by a graph. Recently, ideas have begun to emerge related to the analysis of time-varying graph signals. This work…

Machine Learning · Computer Science 2017-05-08 Francesco Grassi , Andreas Loukas , Nathanaël Perraudin , Benjamin Ricaud

Financial time series forecasting in zero-shot settings is critical for investment decisions, especially during abrupt market regime shifts or in emerging markets with limited historical data. While Model-Agnostic Meta-Learning (MAML)…

Machine Learning · Computer Science 2025-08-04 Anxian Liu , Junying Ma , Guang Zhang

Time Series Forecasting (TSF) is a widely researched topic with broad applications in weather forecasting, traffic control, and stock price prediction. Extreme values in time series often significantly impact human and natural systems, but…

Machine Learning · Computer Science 2023-10-12 Jincheng Wang , Yue Gao

In order to solve the problems such as difficult to extract effective features and low accuracy of sales volume prediction caused by complex relationships such as market sales volume in time series prediction, we proposed a time series…

Signal Processing · Electrical Eng. & Systems 2024-06-06 Jianyu Liu , Wei Chen , Yong Zhang , Zhenfeng Chen , Bin Wan , Jinwei Hu