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Related papers: Time-Series Forecasting via Topological Informatio…

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Topological data analysis (TDA) has emerged as one of the most promising techniques to reconstruct the unknown shapes of high-dimensional spaces from observed data samples. TDA, thus, yields key shape descriptors in the form of persistent…

Machine Learning · Statistics 2017-11-15 Wei Guo , Krithika Manohar , Steven L. Brunton , Ashis G. Banerjee

Time series forecasting (TSF) has long been a crucial task in both industry and daily life. Most classical statistical models may have certain limitations when applied to practical scenarios in fields such as energy, healthcare, traffic,…

Machine Learning · Computer Science 2025-03-14 Xiangjie Kong , Zhenghao Chen , Weiyao Liu , Kaili Ning , Lechao Zhang , Syauqie Muhammad Marier , Yichen Liu , Yuhao Chen , Feng Xia

Topological data analysis (TDA) detects geometric structure in biological data. However, many TDA algorithms are memory intensive and impractical for massive datasets. Here, we introduce a statistical protocol that reduces TDA's memory…

Quantitative Methods · Quantitative Biology 2025-09-05 Andrew J. Stier , Naichen Shi , Raed Al Kontar , Chad Giusti , Marc G. Berman

Complex prediction models such as deep learning are the output from fitting machine learning, neural networks, or AI models to a set of training data. These are now standard tools in science. A key challenge with the current generation of…

Machine Learning · Computer Science 2022-10-21 Meng Liu , Tamal K. Dey , David F. Gleich

Topological Data Analysis (TDA) is a rigorous framework that borrows techniques from geometric and algebraic topology, category theory, and combinatorics in order to study the "shape" of such complex high-dimensional data. Research in this…

Algebraic Topology · Mathematics 2022-04-15 R. W. R. Darling , John A. Emanuello , Emilie Purvine , Ahmad Ridley

Topological Data Analysis (TDA) has been praised by researchers for its ability to capture intricate shapes and structures within data. TDA is considered robust in handling noisy and high-dimensional datasets, and its interpretability is…

Machine Learning · Computer Science 2024-01-10 Funmilola Mary Taiwo , Umar Islambekov , Cuneyt Gurcan Akcora

Accurate time series forecasting is a highly valuable endeavour with applications across many industries. Despite recent deep learning advancements, increased model complexity, and larger model sizes, many state-of-the-art models often…

Topological Data Analysis (TDA) combines computational topology and data science to extract and analyze intrinsic topological and geometric structures in data set in a metric space. While the persistent homology (PH), a widely used tool in…

Computational Geometry · Computer Science 2025-04-15 Chuanshen Hu , Yu Wang , Kelin Xia , Ke Ye , Yipeng Zhang

Modern deep neural networks are powerful predictive tools yet often lack valid inference for causal parameters, such as treatment effects or entire survival curves. While frameworks like Double Machine Learning (DML) and Targeted Maximum…

Machine Learning · Computer Science 2025-07-17 Yi Li , David Mccoy , Nolan Gunter , Kaitlyn Lee , Alejandro Schuler , Mark van der Laan

Identifying the qualitative changes in time-series data provides insights into the dynamics associated with such data. Such qualitative changes can be detected through topological approaches, which first embed the data into a…

Data Analysis, Statistics and Probability · Physics 2019-03-27 Quoc Hoan Tran , Yoshihiko Hasegawa

How to handle time features shall be the core question of any time series forecasting model. Ironically, it is often ignored or misunderstood by deep-learning based models, even those baselines which are state-of-the-art. This behavior…

Machine Learning · Computer Science 2022-07-25 Li Shen , Yuning Wei , Yangzhu Wang

Can meta-learning discover generic ways of processing time series (TS) from a diverse dataset so as to greatly improve generalization on new TS coming from different datasets? This work provides positive evidence to this using a broad…

Machine Learning · Computer Science 2020-12-16 Boris N. Oreshkin , Dmitri Carpov , Nicolas Chapados , Yoshua Bengio

This paper addresses the challenges of fault prediction and delayed response in distributed systems by proposing an intelligent prediction method based on temporal feature learning. The method takes multi-dimensional performance metric…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-28 Yang Wang , Wenxuan Zhu , Xuehui Quan , Heyi Wang , Chang Liu , Qiyuan Wu

Topological data analysis (TDA) is a tool from data science and mathematics that is beginning to make waves in environmental science. In this work, we seek to provide an intuitive and understandable introduction to a tool from TDA that is…

Machine Learning · Computer Science 2025-07-15 Lander Ver Hoef , Henry Adams , Emily J. King , Imme Ebert-Uphoff

Time series (TS) data have consistently been in short supply, yet their demand remains high for training systems in prediction, modeling, classification, and various other applications. Synthesis can serve to expand the sample population,…

Signal Processing · Electrical Eng. & Systems 2024-04-23 Tracey K. M. Lee , H. W. Chan , K. H. Leo , Effie Chew , L. Zhao , Saeid Sanei

Pre-trained models exhibit strong generalization to various downstream tasks. However, given the numerous models available in the model hub, identifying the most suitable one by individually fine-tuning is time-consuming. In this paper, we…

Machine Learning · Computer Science 2026-03-10 Tengxue Zhang , Biao Ouyang , Yang Shu , Xinyang Chen , Chenjuan Guo , Bin Yang

Topological Data Analysis (TDA) is a recent approach to analyze data sets from the perspective of their topological structure. Its use for time series data has been limited to the field of financial time series primarily and as a method for…

Machine Learning · Computer Science 2019-06-18 Rodrigo Rivera-Castro , Polina Pilyugina , Alexander Pletnev , Ivan Maksimov , Wanyi Wyz , Evgeny Burnaev

Semiconductor manufacturing generates vast amounts of image data, crucial for defect identification and yield optimization, yet often exceeds manual inspection capabilities. Traditional clustering techniques struggle with high-dimensional,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-08 Janhavi Giri , Attila Lengyel , Don Kent , Edward Kibardin

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…

Feature engineering is required to obtain better results for time series forecasting, and decomposition is a crucial one. One decomposition approach often cannot be used for numerous forecasting tasks since the standard time series…

Machine Learning · Computer Science 2022-10-10 Liwang Zhou , Jing Gao