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Detecting anomalies in multivariate time series(MTS) data plays an important role in many domains. The abnormal values could indicate events, medical abnormalities,cyber-attacks, or faulty devices which if left undetected could lead to…

Machine Learning · Computer Science 2023-01-31 Usman Anjum , Samuel Lin , Justin Zhan

Multivariate time series (MTS) prediction is ubiquitous in real-world fields, but MTS data often contains missing values. In recent years, there has been an increasing interest in using end-to-end models to handle MTS with missing values.…

Machine Learning · Computer Science 2023-05-11 Zhao-Yu Zhang , Shao-Qun Zhang , Yuan Jiang , Zhi-Hua Zhou

We propose a new unsupervised learning method for clustering a large number of time series based on a latent factor structure. Each cluster is characterized by its own cluster-specific factors in addition to some common factors which impact…

Statistics Theory · Mathematics 2022-09-09 Bo Zhang , Guangming Pan , Qiwei Yao , Wang Zhou

Feature selection has drawn much attention over the last decades in machine learning because it can reduce data dimensionality while maintaining the original physical meaning of features, which enables better interpretability than feature…

Machine Learning · Computer Science 2022-09-27 Yiwen Liao , Jochen Rivoir , Raphaël Latty , Bin Yang

Capturing the dynamical properties of time series concisely as interpretable feature vectors can enable efficient clustering and classification for time-series applications across science and industry. Selecting an appropriate feature-based…

Information Retrieval · Computer Science 2019-02-05 Carl H Lubba , Sarab S Sethi , Philip Knaute , Simon R Schultz , Ben D Fulcher , Nick S Jones

Multivariate time series can often have a large number of dimensions, whether it is due to the vast amount of collected features or due to how the data sources are processed. Frequently, the main structure of the high-dimensional time…

Methodology · Statistics 2021-10-11 Euan Thomas McGonigle , Hankui Peng

Fault diagnosis in multimode processes plays a critical role in ensuring the safe operation of industrial systems across multiple modes. It faces a great challenge yet to be addressed - that is, the significant distributional differences…

Machine Learning · Computer Science 2025-07-24 Guangqiang Li , M. Amine Atoui , Xiangshun Li

To address the common problem of high dimensionality in tensor regressions, we introduce a generalized tensor random projection method that embeds high-dimensional tensor-valued covariates into low-dimensional subspaces with minimal loss of…

Methodology · Statistics 2025-10-03 Roberto Casarin , Radu Craiu , Qing Wang

Feature selection is a problem of finding efficient features among all features in which the final feature set can improve accuracy and reduce complexity. In feature selection algorithms search strategies are key aspects. Since feature…

Machine Learning · Computer Science 2016-01-27 Mohadeseh Montazeri , Hamid Reza Naji , Mitra Montazeri , Ahmad Faraahi

We propose Multivariate Quantile Function Forecaster (MQF$^2$), a global probabilistic forecasting method constructed using a multivariate quantile function and investigate its application to multi-horizon forecasting. Prior approaches are…

Quantum Machine Learning (QML) has seen significant advancements, driven by recent improvements in Noisy Intermediate-Scale Quantum (NISQ) devices. Leveraging quantum principles such as entanglement and superposition, quantum convolutional…

Sparse Bayesian learning is a state-of-the-art supervised learning algorithm that can choose a subset of relevant samples from the input data and make reliable probabilistic predictions. However, in the presence of high-dimensional data…

Machine Learning · Computer Science 2020-01-10 Bingbing Jiang , Chang Li , Maarten de Rijke , Xin Yao , Huanhuan Chen

Multi-view unsupervised feature selection has been proven to be efficient in reducing the dimensionality of multi-view unlabeled data with high dimensions. The previous methods assume all of the views are complete. However, in real…

Machine Learning · Computer Science 2023-01-02 Yanyong Huang , Kejun Guo , Xiuwen Yi , Zhong Li , Tianrui Li

In this paper a sublinear time algorithm is presented for the reconstruction of functions that can be represented by just few out of a potentially large candidate set of Fourier basis functions in high spatial dimensions, a so-called…

Numerical Analysis · Mathematics 2020-06-24 Lutz Kämmerer , Felix Krahmer , Toni Volkmer

In the context of time series forecasting, it is a common practice to evaluate multiple methods and choose one of these methods or an ensemble for producing the best forecasts. However, choosing among different ensembles over multiple…

Machine Learning · Computer Science 2021-12-16 Himanshi Charotia , Abhishek Garg , Gaurav Dhama , Naman Maheshwari

The Bayesian paradigm offers principled tools for sequential decision-making under uncertainty, but its reliance on a probabilistic model for all parameters can hinder the incorporation of complex structural constraints. We introduce a…

Machine Learning · Computer Science 2025-10-09 Kaizheng Wang

Extracting meaningful features from complex, high-dimensional datasets across scientific domains remains challenging. Current methods often struggle with scalability, limiting their applicability to large datasets, or make restrictive…

Machine Learning · Computer Science 2024-03-22 Matt Raymond , Jacob Charles Saldinger , Paolo Elvati , Clayton Scott , Angela Violi

Feature selection (FS) is a fundamental challenge in machine learning, particularly for high-dimensional tabular data, where interpretability and computational efficiency are critical. Existing FS methods often cannot automatically detect…

Machine Learning · Computer Science 2026-04-22 Witold Wydmański , Marek Śmieja

Convolutional neural network is a crucial tool for machine learning, especially in the field of computer vision. Its unique structure and characteristics provide significant advantages in feature extraction. However, with the exponential…

Quantum Physics · Physics 2024-12-03 Kai Yu , Song Lin , Bin-Bin Cai

Integrative analysis of multivariate functional time series (MFTS) is both critical and challenging across many scientific domains. Such data often exhibit complex multi-way dependencies arising from within-curve structures, temporal…

Methodology · Statistics 2026-03-25 Zerui Guo , Jianbin Tan , Hui Huang