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While recent advancements in foundation models have significantly impacted machine learning, rigorous tests on the performance of time series foundation models (TSFMs) remain largely underexplored. This paper presents an empirical study…

Machine Learning · Computer Science 2025-01-09 Syamantak Datta Gupta

We investigate the use of iterated function system (IFS) models for data analysis. An IFS is a discrete dynamical system in which each time step corresponds to the application of one of a finite collection of maps. The maps, which represent…

Dynamical Systems · Mathematics 2013-05-01 Zachary Alexander , Elizabeth Bradley , Joshua Garland , James D. Meiss

In many applications, such as physiology and finance, large time series data bases are to be analyzed requiring the computation of linear, nonlinear and other measures. Such measures have been developed and implemented in commercial and…

Computation · Statistics 2010-02-10 Dimitris Kugiumtzis , Alkiviadis Tsimpiris

Time series foundation models (TSFMs) are revolutionizing the forecasting landscape from specific dataset modeling to generalizable task evaluation. However, we contend that existing benchmarks exhibit common limitations in four dimensions:…

The process of collecting and organizing sets of observations represents a common theme throughout the history of science. However, despite the ubiquity of scientists measuring, recording, and analyzing the dynamics of different processes,…

Data Analysis, Statistics and Probability · Physics 2013-05-23 Ben D. Fulcher , Max A. Little , Nick S. Jones

Multivariate time-series forecasting holds immense value across diverse applications, requiring methods to effectively capture complex temporal and inter-variable dynamics. A key challenge lies in uncovering the intrinsic patterns that…

Machine Learning · Computer Science 2025-03-12 Liang Yu , Lai Tu , Xiang Bai

The growing popularity of wearable sensors has generated large quantities of temporal physiological and activity data. Ability to analyze this data offers new opportunities for real-time health monitoring and forecasting. However, temporal…

Signal Processing · Electrical Eng. & Systems 2021-06-02 Nazgol Tavabi , Kristina Lerman

Pre-trained foundation models (FMs) have shown exceptional performance in univariate time series forecasting tasks. However, several practical challenges persist, including managing intricate dependencies among features and quantifying…

Interpretable classification of time series presents significant challenges in high dimensions. Traditional feature selection methods in the frequency domain often assume sparsity in spectral density matrices (SDMs) or their inverses, which…

Machine Learning · Statistics 2024-08-19 Sarbojit Roy , Malik Shahid Sultan , Hernando Ombao

Time series observations can be seen as realizations of an underlying dynamical system governed by rules that we typically do not know. For time series learning tasks, we need to understand that we fit our model on available data, which is…

Machine Learning · Computer Science 2023-01-31 Amine Mohamed Aboussalah , Min-Jae Kwon , Raj G Patel , Cheng Chi , Chi-Guhn Lee

Time series anomaly detection forms a very crucial area in several domains but poses substantial challenges. Due to time series data possessing seasonality, trends, noise, and evolving patterns (concept drift), it becomes very difficult to…

Machine Learning · Computer Science 2025-10-07 Yadav Mahesh Lorik , Kaushik Sarveswaran , Nagaraj Sundaramahalingam , Aravindakumar Venugopalan

Time series are widely used as signals in many classification/regression tasks. It is ubiquitous that time series contains many missing values. Given multiple correlated time series data, how to fill in missing values and to predict their…

Machine Learning · Computer Science 2018-05-29 Wei Cao , Dong Wang , Jian Li , Hao Zhou , Lei Li , Yitan Li

In this paper, we present the FATS (Feature Analysis for Time Series) library. FATS is a Python library which facilitates and standardizes feature extraction for time series data. In particular, we focus on one application: feature…

Instrumentation and Methods for Astrophysics · Physics 2015-09-02 Isadora Nun , Pavlos Protopapas , Brandon Sim , Ming Zhu , Rahul Dave , Nicolas Castro , Karim Pichara

Current health policy calls for greater use of evidence based care delivery services to improve patient quality and safety outcomes. Care delivery is complex, with interacting and interdependent components that challenge traditional…

Applications · Statistics 2019-03-27 Maricela Cruz , Miriam Bender , Hernando Ombao

We present FIT: a transformer-based architecture with efficient self-attention and adaptive computation. Unlike original transformers, which operate on a single sequence of data tokens, we divide the data tokens into groups, with each group…

Machine Learning · Computer Science 2023-05-26 Ting Chen , Lala Li

Irregular sampling occurs in many time series modeling applications where it presents a significant challenge to standard deep learning models. This work is motivated by the analysis of physiological time series data in electronic health…

Machine Learning · Computer Science 2021-06-08 Satya Narayan Shukla , Benjamin M. Marlin

Machine learning algorithms are highly useful for the classification of time series data in astronomy in this era of peta-scale public survey data releases. These methods can facilitate the discovery of new unknown events in most…

Instrumentation and Methods for Astrophysics · Physics 2018-09-10 J. B. Cabral , B. Sánchez , F. Ramos , S. Gurovich , P. Granitto , J. Vanderplas

The field of time series forecasting has garnered significant attention in recent years, prompting the development of advanced models like TimeSieve, which demonstrates impressive performance. However, an analysis reveals certain…

Machine Learning · Computer Science 2025-03-31 Songning Lai , Ninghui Feng , Haochen Sui , Ze Ma , Hao Wang , Zichen Song , Hang Zhao , Yutao Yue

Due to the sweeping digitalization of processes, increasingly vast amounts of time series data are being produced. Accurate classification of such time series facilitates decision making in multiple domains. State-of-the-art classification…

Machine Learning · Computer Science 2023-08-08 David Campos , Miao Zhang , Bin Yang , Tung Kieu , Chenjuan Guo , Christian S. Jensen

In the time of Big Data, training complex models on large-scale data sets is challenging, making it appealing to reduce data volume for saving computation resources by subsampling. Most previous works in subsampling are weighted methods…

Machine Learning · Computer Science 2021-04-14 Zifeng Wang , Hong Zhu , Zhenhua Dong , Xiuqiang He , Shao-Lun Huang
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