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One of the hallmarks of active galactic nuclei are that they are highly variable with time. In watching the spectra vary it has been observed that the emission-lines often appear to "reverberate" -- that is they vary in response to…

Astrophysics of Galaxies · Physics 2026-05-28 Kirk Long , Keith Horne , Jason Dexter , Benoit Tremblay

Time series forecasting models are becoming increasingly prevalent due to their critical role in decision-making across various domains. However, most existing approaches represent the coupled temporal patterns, often neglecting the…

Machine Learning · Computer Science 2025-09-26 Jintao Zhang , Mingyue Cheng , Xiaoyu Tao , Zhiding Liu , Daoyu Wang

This article combines wavelet analysis techniques with machine learning methods for univariate time series forecasting, focusing on three main contributions. Firstly, we consider the use of Daubechies wavelets with different numbers of…

Methodology · Statistics 2024-03-14 Guy P Nason , James L. Wei

We formulate a reduced-order strategy for efficiently forecasting complex high-dimensional dynamical systems entirely based on data streams. The first step of our method involves reconstructing the dynamics in a reduced-order subspace of…

Data Analysis, Statistics and Probability · Physics 2017-03-08 Zhong Yi Wan , Themistoklis P. Sapsis

The appropriate selection of recurrence thresholds is a key problem in applications of recurrence quantification analysis (RQA) and related methods across disciplines. Here, we discuss the distribution of pairwise distances between state…

Data Analysis, Statistics and Probability · Physics 2018-04-11 K. Hauke Krämer , Reik V. Donner , Jobst Heitzig , Norbert Marwan

Realistic depictions of past land cover are needed to investigate prehistoric environmental changes, effects of anthropogenic deforestation, and long term land cover-climate feedbacks. Observation based reconstructions of past land cover…

Applications · Statistics 2018-11-06 Behnaz Pirzamanbein , Anneli Poska , Johan Lindström

We propose a kernel-spectral embedding algorithm for learning low-dimensional nonlinear structures from high-dimensional and noisy observations, where the datasets are assumed to be sampled from an intrinsically low-dimensional manifold and…

Machine Learning · Statistics 2023-07-07 Xiucai Ding , Rong Ma

As the role played by statistical and computational sciences in climate and environmental modelling and prediction becomes more important, Machine Learning researchers are becoming more aware of the relevance of their work to help tackle…

Machine Learning · Statistics 2020-12-23 Federico Amato , Fabian Guignard , Sylvain Robert , Mikhail Kanevski

Reconstructing the parameters that encode the influence between model variables based on time-series measurements represents an outstanding question in the theory of complex network-coupled systems. Here, we propose a solution to this…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Melvyn Tyloo

Time-series classification is an important domain of machine learning and a plethora of methods have been developed for the task. In comparison to existing approaches, this study presents a novel method which decomposes a time-series…

Machine Learning · Computer Science 2015-03-12 Josif Grabocka , Lars Schmidt-Thieme

Ability of deep networks to extract high level features and of recurrent networks to perform time-series inference have been studied. In view of universality of one hidden layer network at approximating functions under weak constraints, the…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Sharat C. Prasad , Piyush Prasad

Predictive linear and nonlinear models based on kernel machines or deep neural networks have been used to discover dependencies among time series. This paper proposes an efficient nonlinear modeling approach for multiple time series, with a…

Machine Learning · Computer Science 2023-10-02 Kevin Roy , Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

High-quality reconstruction of Aerosol Optical Depth (AOD) fields is critical for Atmosphere monitoring, yet current models remain constrained by the scarcity of complete training data and a lack of uncertainty quantification.To address…

Machine Learning · Computer Science 2026-01-01 Linhao Fan , Hongqiang Fang , Jingyang Dai , Yong Jiang , Qixing Zhang

The best way to combine the results of deep learning with standard 3D reconstruction pipelines remains an open problem. While systems that pass the output of traditional multi-view stereo approaches to a network for regularisation or…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Tristan Laidlow , Jan Czarnowski , Andrea Nicastro , Ronald Clark , Stefan Leutenegger

In a number of data-driven applications such as detection of arrhythmia, interferometry or audio compression, observations are acquired indistinctly in the time or frequency domains: temporal observations allow us to study the spectral…

Signal Processing · Electrical Eng. & Systems 2020-11-10 Felipe Tobar , Lerko Araya-Hernández , Pablo Huijse , Petar M. Djurić

Accurate gene regulatory networks can be used to explain the emergence of different phenotypes, disease mechanisms, and other biological functions. Many methods have been proposed to infer networks from gene expression data but have been…

Quantitative Methods · Quantitative Biology 2018-12-11 Phan Nguyen , Rosemary Braun

Seismic data often contain gaps due to various obstacles in the investigated area and recording instrument failures. Deep learning techniques offer promising solutions for reconstructing missing data parts by leveraging existing…

Geophysics · Physics 2024-04-04 Mohammad Mahdi Abedi , David Pardo , Tariq Alkhalifah

Implementing insect monitoring systems provides an excellent opportunity to create accurate interventions for insect control. However, selecting the appropriate time for an intervention is still an open question due to the inherent…

Quantitative Methods · Quantitative Biology 2023-12-29 Gabriel R. Palma , Rodrigo F. Mello , Wesley A. C. Godoy , Eduardo Engel , Douglas Lau , Charles Markham , Rafael A. Moral

Spatiotemporal dynamics is central to a wide range of applications from climatology, computer vision to neural sciences. From temporal observations taken on a high-dimensional vector of spatial locations, we seek to derive knowledge about…

Methodology · Statistics 2016-04-19 Lu Meng , Tian Zheng

Conventional methods for outdoor environment reconstruction rely predominantly on vision-based techniques like photogrammetry and LiDAR, facing limitations such as constrained coverage, susceptibility to environmental conditions, and high…

Networking and Internet Architecture · Computer Science 2024-04-13 Hrant Khachatrian , Rafayel Mkrtchyan , Theofanis P. Raptis