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The problem of prediction of a given time series is examined on the basis of recent nonlinear dynamics theories. Particular attention is devoted to forecast the amplitude and phase of one of the most common solar indicator activity, the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Stefano Sello

Accurate time-series forecasting is crucial in various scientific and industrial domains, yet deep learning models often struggle to capture long-term dependencies and adapt to data distribution shifts over time. We introduce Future-Guided…

Machine Learning · Computer Science 2025-09-30 Skye Gunasekaran , Assel Kembay , Hugo Ladret , Rui-Jie Zhu , Laurent Perrinet , Omid Kavehei , Jason Eshraghian

This paper introduces a new approach for Multivariate Time Series forecasting that jointly infers and leverages relations among time series. Its modularity allows it to be integrated with current univariate methods. Our approach allows to…

Machine Learning · Computer Science 2022-03-08 Victor Garcia Satorras , Syama Sundar Rangapuram , Tim Januschowski

The dynamics of time-reversible systems are statistically indistinguishable when observed forward or backward in time. A rich literature of statistical methods to distinguish irreversible dynamics from the reversible dynamics of linear,…

Data Analysis, Statistics and Probability · Physics 2026-04-20 Teresa Dalle Nogare , Ben D. Fulcher

We present a new approach to Bayesian inference that entirely avoids Markov chain simulation, by constructing a map that pushes forward the prior measure to the posterior measure. Existence and uniqueness of a suitable measure-preserving…

Computation · Statistics 2012-08-31 Tarek A. El Moselhy , Youssef M. Marzouk

Predicting and reasoning about the future lie at the heart of many time-series questions. For example, goal-conditioned reinforcement learning can be viewed as learning representations to predict which states are likely to be visited in the…

Machine Learning · Computer Science 2025-10-10 Chongyi Zheng , Ruslan Salakhutdinov , Benjamin Eysenbach

Making accurate inferences about data is a key task in science and mathematics. Here we study the problem of \emph{retrodiction}, inferring past values of a series, in the context of chaotic dynamical systems. Specifically, we are…

Dynamical Systems · Mathematics 2025-11-06 Kamal Dingle , Boumediene Hamzi , Marcus Hutter , Houman Owhadi

We propose a method to measure real-valued time series irreversibility which combines two differ- ent tools: the horizontal visibility algorithm and the Kullback-Leibler divergence. This method maps a time series to a directed network…

Data Analysis, Statistics and Probability · Physics 2015-05-30 Lucas Lacasa , Ángel M. Núñez , Édgar Roldán , Juan M. R. Parrondo , Bartolo Luque

This paper presents VAEneu, an innovative autoregressive method for multistep ahead univariate probabilistic time series forecasting. We employ the conditional VAE framework and optimize the lower bound of the predictive distribution…

Machine Learning · Computer Science 2024-05-08 Alireza Koochali , Ensiye Tahaei , Andreas Dengel , Sheraz Ahmed

In this paper we show that learning video feature spaces in which temporal cycles are maximally predictable benefits action classification. In particular, we propose a novel learning approach termed Cycle Encoding Prediction (CEP) that is…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Xinyu Yang , Majid Mirmehdi , Tilo Burghardt

We introduce a novel modeling approach for time series imputation and forecasting, tailored to address the challenges often encountered in real-world data, such as irregular samples, missing data, or unaligned measurements from multiple…

Due to their uncertainty quantification, Bayesian solutions to inverse problems are the framework of choice in applications that are risk averse. These benefits come at the cost of computations that are in general, intractable. New advances…

Machine Learning · Computer Science 2024-05-10 Rafael Orozco , Ali Siahkoohi , Mathias Louboutin , Felix J. Herrmann

Time series forecasting using historical data has been an interesting and challenging topic, especially when the data is corrupted by missing values. In many industrial problem, it is important to learn the inference function between the…

Machine Learning · Computer Science 2023-06-02 Trang H. Tran , Lam M. Nguyen , Kyongmin Yeo , Nam Nguyen , Dzung Phan , Roman Vaculin , Jayant Kalagnanam

Inverse problems, i.e., estimating parameters of physical models from experimental data, are ubiquitous in science and engineering. The Bayesian formulation is the gold standard because it alleviates ill-posedness issues and quantifies…

Machine Learning · Statistics 2024-05-28 Sharmila Karumuri , Ilias Bilionis

Leveraging deep learning for causal discovery in time series remains challenging because existing neural methods predominantly rely on component-wise architectures that fail to capture shared system dynamics or employ decoupled post-hoc…

Machine Learning · Computer Science 2026-05-11 Omar Muhammad , Pasupuleti Dhruv Shivkant , Deepak N. Subramani

This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Kaijian Hu , Tao Liu

As global warming increases the complexity of weather patterns; the precision of weather forecasting becomes increasingly important. Our study proposes a novel preprocessing method and convolutional autoencoder model developed to improve…

Machine Learning · Computer Science 2024-11-11 Yo-Hwan Choi , Seon-Yu Kang , Minjong Cheon

Trustworthy decision making in networked, dynamic environments calls for innovative uncertainty quantification substrates in predictive models for graph time series. Existing conformal prediction (CP) methods have been applied separately to…

Machine Learning · Computer Science 2025-10-14 Sonakshi Dua , Gonzalo Mateos , Sundeep Prabhakar Chepuri

Motivated by the application to German interest rates, we propose a timevarying autoregressive model for short and long term prediction of time series that exhibit a temporary non-stationary behavior but are assumed to mean revert in the…

Methodology · Statistics 2021-02-23 Christoph Berninger , Almond Stöcker , David Rügamer

Recovering high-dimensional signals from corrupted measurements is a central challenge in inverse problems. Recent advances in generative diffusion models have shown remarkable empirical success in providing strong data-driven priors, but…

Machine Learning · Computer Science 2025-09-26 Oscar Leong , Yann Traonmilin
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