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The classical vector autoregressive model is a fundamental tool for multivariate time series analysis. However, it involves too many parameters when the number of time series and lag order are even moderately large. This paper proposes to…

Methodology · Statistics 2020-11-04 Di Wang , Yao Zheng , Heng Lian , Guodong Li

High-dimensional time series are common in many domains. Since human cognition is not optimized to work well in high-dimensional spaces, these areas could benefit from interpretable low-dimensional representations. However, most…

Machine Learning · Computer Science 2019-01-07 Vincent Fortuin , Matthias Hüser , Francesco Locatello , Heiko Strathmann , Gunnar Rätsch

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

Signal Processing · Electrical Eng. & Systems 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

We develop a methodology to learn finitely generated random iterated function systems from time-series of partial observations using delay embeddings. We obtain a minimal model representation for the observed dynamics, using a hidden…

Dynamical Systems · Mathematics 2025-08-20 Emilia Gibson , Jeroen S. W. Lamb

Scientists often use observational time series data to study complex natural processes, but regression analyses often assume simplistic dynamics. Recent advances in deep learning have yielded startling improvements to the performance of…

Machine Learning · Computer Science 2023-04-21 Cory Shain , William Schuler

Time series analysis remains a major challenge due to its sparse characteristics, high dimensionality, and inconsistent data quality. Recent advancements in transformer-based techniques have enhanced capabilities in forecasting and…

Machine Learning · Computer Science 2024-05-29 Robert Leppich , Vanessa Borst , Veronika Lesch , Samuel Kounev

Shapelet-based algorithms are widely used for time series classification because of their ease of interpretation, but they are currently outperformed by recent state-of-the-art approaches. We present a new formulation of time series…

Computer Vision and Pattern Recognition · Computer Science 2022-06-10 Antoine Guillaume , Christel Vrain , Elloumi Wael

Accurate interpolation of seismic data is crucial for improving the quality of imaging and interpretation. In recent years, deep learning models such as U-Net and generative adversarial networks have been widely applied to seismic data…

Encoding time-series with Linear Dynamical Systems (LDSs) leads to rich models with applications ranging from dynamical texture recognition to video segmentation to name a few. In this paper, we propose to represent LDSs with…

Computer Vision and Pattern Recognition · Computer Science 2017-02-28 Wenbing Huang , Fuchun Sun , Lele Cao , Mehrtash Harandi

There exists a correlation between geospatial activity temporal patterns and type of land use. A novel self-supervised approach is proposed to stratify landscape based on mobility activity time series. First, the time series signal is…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Yi Cao , Swetava Ganguli , Vipul Pandey

Real-world time series analysis faces significant challenges when dealing with irregular and incomplete data. While Neural Differential Equation (NDE) based methods have shown promise, they struggle with limited expressiveness, scalability…

Machine Learning · Computer Science 2026-04-03 YongKyung Oh , Dong-Young Lim , Sungil Kim

Averaging predictions over a set of models -- an ensemble -- is widely used to improve predictive performance and uncertainty estimation of deep learning models. At the same time, many machine learning systems, such as search, matching, and…

Machine Learning · Computer Science 2021-07-15 Arsenii Ashukha , Andrei Atanov , Dmitry Vetrov

Sparse deep learning has become a popular technique for improving the performance of deep neural networks in areas such as uncertainty quantification, variable selection, and large-scale network compression. However, most existing research…

Machine Learning · Statistics 2023-10-06 Mingxuan Zhang , Yan Sun , Faming Liang

When a series of (related) linear models has to be estimated it is often appropriate to combine the different data-sets to construct more efficient estimators. We use $\ell_1$-penalized estimators like the Lasso or the Adaptive Lasso which…

Statistics Theory · Mathematics 2007-12-18 Lukas Meier , Peter Bühlmann

Optimization of machine learning models is commonly performed through stochastic gradient updates on randomly ordered training examples. This practice means that sub-epochs comprise of independent random samples of the training data that…

Machine Learning · Computer Science 2019-06-20 Eliav Buchnik , Edith Cohen , Avinatan Hassidim , Yossi Matias

Irregularly sampled multivariate time series are ubiquitous in various fields, particularly in healthcare, and exhibit two key characteristics: intra-series irregularity and inter-series discrepancy. Intra-series irregularity refers to the…

Machine Learning · Computer Science 2023-06-19 Jiawen Zhang , Shun Zheng , Wei Cao , Jiang Bian , Jia Li

Anomaly detection of multivariate time series is meaningful for system behavior monitoring. This paper proposes an anomaly detection method based on unsupervised Short- and Long-term Mask Representation learning (SLMR). The main idea is to…

Machine Learning · Computer Science 2022-08-24 Qiucheng Miao , Chuanfu Xu , Jun Zhan , Dong Zhu , Chengkun Wu

Irregular temporal data, characterized by varying recording frequencies, differing observation durations, and missing values, presents significant challenges across fields like mobility, healthcare, and environmental science. Existing…

Machine Learning · Computer Science 2026-01-28 Francesco Spinnato , Cristiano Landi

Temporal word embeddings have been proposed to support the analysis of word meaning shifts during time and to study the evolution of languages. Different approaches have been proposed to generate vector representations of words that embed…

Computation and Language · Computer Science 2019-06-07 Valerio Di Carlo , Federico Bianchi , Matteo Palmonari

We investigate time encoding as an alternative method to classical sampling, and address the problem of reconstructing classes of non-bandlimited signals from time-based samples. We consider a sampling mechanism based on first filtering the…

Signal Processing · Electrical Eng. & Systems 2019-12-17 Roxana Alexandru , Pier Luigi Dragotti