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Modelling multivariate spatio-temporal data with complex dependency structures is a challenging task but can be simplified by assuming that the original variables are generated from independent latent components. If these components are…

统计方法学 · 统计学 2024-11-04 Mika Sipilä , Claudia Cappello , Sandra De Iaco , Klaus Nordhausen , Sara Taskinen

In spatial blind source separation the observed multivariate random fields are assumed to be mixtures of latent spatially dependent random fields. The objective is to recover latent random fields by estimating the unmixing transformation.…

统计方法学 · 统计学 2024-04-12 Mika Sipilä , Klaus Nordhausen , Sara Taskinen

Generative modeling of high-dimensional data is a key problem in machine learning. Successful approaches include latent variable models and autoregressive models. The complementary strengths of these approaches, to model global and local…

计算机视觉与模式识别 · 计算机科学 2019-04-19 Thomas Lucas , Jakob Verbeek

Autonomous vehicles increasingly rely on cameras to provide the input for perception and scene understanding and the ability of these models to classify their environment and objects, under adverse conditions and image noise is crucial.…

计算机视觉与模式识别 · 计算机科学 2021-11-08 Andreas Papachristodoulou , Christos Kyrkou , Theocharis Theocharides

Consider a time series of measurements of the state of an evolving system, x(t), where x has two or more components. This paper shows how to perform nonlinear blind source separation; i.e., how to determine if these signals are equal to…

统计方法学 · 统计学 2017-03-07 David N. Levin

Autoregressive models have achieved impressive results over a wide range of domains in terms of generation quality and downstream task performance. In the continuous domain, a key factor behind this success is the usage of quantized latent…

机器学习 · 计算机科学 2023-01-23 Emilian Postolache , Giorgio Mariani , Michele Mancusi , Andrea Santilli , Luca Cosmo , Emanuele Rodolà

Time series observations are ubiquitous in astronomy, and are generated to distinguish between different types of supernovae, to detect and characterize extrasolar planets and to classify variable stars. These time series are usually…

天体物理仪器与方法 · 物理学 2018-09-13 Susana Eyheramendy , Felipe Elorrieta , Wilfredo Palma

Blind source separation (BSS) seeks to recover latent source signals from observed mixtures. Variational autoencoders (VAEs) offer a natural perspective for this problem: the latent variables can be interpreted as source components, the…

机器学习 · 统计学 2026-03-19 Yuan-Hao Wei , Fu-Hao Deng , Lin-Yong Cui , Yan-Jie Sun

Independent or i.i.d. innovations is an essential assumption in the literature for analyzing a vector time series. However, this assumption is either too restrictive for a real-life time series to satisfy or is hard to verify through a…

统计理论 · 数学 2023-10-12 Yunyi Zhang

Learned image reconstruction techniques using deep neural networks have recently gained popularity, and have delivered promising empirical results. However, most approaches focus on one single recovery for each observation, and thus neglect…

计算机视觉与模式识别 · 计算机科学 2021-10-26 Chen Zhang , Riccardo Barbano , Bangti Jin

When sensors collect spatio-temporal data in a large geographical area, the existence of missing data cannot be escaped. Missing data negatively impacts the performance of data analysis and machine learning algorithms. In this paper, we…

机器学习 · 计算机科学 2019-04-30 Reza Asadi , Amelia Regan

A convolutional encoder-decoder-based transformer model is proposed for autoregressively training on spatio-temporal data of turbulent flows. The prediction of future fluid flow fields is based on the previously predicted fluid flow field…

流体动力学 · 物理学 2023-03-31 Aakash Patil , Jonathan Viquerat , Elie Hachem

Inference and prediction under partial knowledge of a physical system is challenging, particularly when multiple confounding sources influence the measured response. Explicitly accounting for these influences in physics-based models is…

机器学习 · 统计学 2026-01-14 Ioannis Christoforos Koune , Alice Cicirello

Learning from multiple sources of information is an important problem in machine-learning research. The key challenges are learning representations and formulating inference methods that take into account the complementarity and redundancy…

机器学习 · 统计学 2018-11-20 Richard Kurle , Stephan Günnemann , Patrick van der Smagt

A novel extension of Independent Component and Independent Vector Analysis for blind extraction/separation of one or several sources from time-varying mixtures is proposed. The mixtures are assumed to be separable source-by-source in series…

信号处理 · 电气工程与系统科学 2021-05-12 Zbyněk Koldovský , Václav Kautský , Petr Tichavský

The autoregressive time series model is a popular second-order stationary process, modeling a wide range of real phenomena. However, in applications, autoregressive signals are often corrupted by additive noise. Further, the autoregressive…

统计方法学 · 统计学 2025-12-09 Sayantan Banerjee , Agnieszka Wylomanska , Sundar S

We propose a parsimonious spatiotemporal model for time series data on a spatial grid. Our model is capable of dealing with high-dimensional time series data that may be collected at hundreds of locations and capturing the spatial…

统计方法学 · 统计学 2021-03-02 Yuan Yan , Hsin-Cheng Huang , Marc G. Genton

Autoregressive models are widely used for tasks such as image and audio generation. The sampling process of these models, however, does not allow interruptions and cannot adapt to real-time computational resources. This challenge impedes…

机器学习 · 计算机科学 2021-02-24 Yilun Xu , Yang Song , Sahaj Garg , Linyuan Gong , Rui Shu , Aditya Grover , Stefano Ermon

For effective human-robot teaming, it is important for the robots to be able to share their visual perception with the human operators. In a harsh remote collaboration setting, data compression techniques such as autoencoder can be utilized…

计算机视觉与模式识别 · 计算机科学 2021-12-28 Hyeonwoo Yu , Jean Oh

This study introduces a novel spatial autoregressive model in which the dependent variable is a function that may exhibit functional autocorrelation with the outcome functions of nearby units. This model can be characterized as a…

计量经济学 · 经济学 2024-10-02 Tadao Hoshino
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