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Forecasting the behavior of high-dimensional dynamical systems using machine learning requires efficient methods to learn the underlying physical model. We demonstrate spatiotemporal chaos prediction using a machine learning architecture…

Machine Learning · Computer Science 2022-09-27 Wendson A. S. Barbosa , Daniel J. Gauthier

Electricity is difficult to store, except at prohibitive cost, and therefore the balance between generation and load must be maintained at all times. Electricity is traditionally managed by anticipating demand and intermittent production…

Machine Learning · Computer Science 2024-09-26 Julie Keisler , Margaux Bregere

Forecasting the dynamics of large complex networks from previous time-series data is important in a wide range of contexts. Here we present a machine learning scheme for this task using a parallel architecture that mimics the topology of…

Machine Learning · Computer Science 2022-05-04 Keshav Srinivasan , Nolan Coble , Joy Hamlin , Thomas Antonsen , Edward Ott , Michelle Girvan

We revisit the interest of classical statistical techniques for sales forecasting like exponential smoothing and extensions thereof (as Holt's linear trend method). We do so by considering ensemble forecasts, given by several instances of…

Applications · Statistics 2020-06-08 Malo Huard , Rémy Garnier , Gilles Stoltz

Variable selection for high-dimensional, highly correlated data has long been a challenging problem, often yielding unstable and unreliable models. We propose a resample-aggregate framework that exploits diffusion models' ability to…

Methodology · Statistics 2025-08-20 Minjie Wang , Xiaotong Shen , Wei Pan

We introduce LatentTrack (LT), a sequential neural architecture for online probabilistic prediction under nonstationary dynamics. LT performs causal Bayesian filtering in a low-dimensional latent space and uses a lightweight hypernetwork to…

Machine Learning · Computer Science 2026-02-03 Omer Haq

The problem of continuous machine learning is studied. Within the framework of the game-theoretic approach, when for calculating the next forecast, no assumptions about the stochastic nature of the source that generates the data flow are…

Machine Learning · Computer Science 2023-10-31 Vladimir V'yugin , Vladimir Trunov

Physical reservoir computing provides a powerful machine learning paradigm that exploits nonlinear physical dynamics for efficient information processing. By incorporating quantum effects, quantum reservoir computing offers superior…

Quantum Physics · Physics 2026-03-27 Yanjun Hou , Juncheng Hua , Ze Wu , Wei Xia , Yuquan Chen , Xiaopeng Li , Zhaokai Li , Xinhua Peng , Jiangfeng Du

Economic complexity methods, and in particular relatedness measures, lack a systematic evaluation and comparison framework. We argue that out-of-sample forecast exercises should play this role, and we compare various machine learning models…

Machine Learning · Computer Science 2021-06-01 Giambattista Albora , Luciano Pietronero , Andrea Tacchella , Andrea Zaccaria

This study introduces a predictive maintenance strategy for high pressure industrial compressors using sensor data and features derived from unsupervised clustering integrated into classification models. The goal is to enhance model…

Machine Learning · Computer Science 2024-11-22 Alessandro Costa , Emilio Mastriani , Federico Incardona , Kevin Munari , Sebastiano Spinello

Uncertainty quantification is crucial to decision-making. A prominent example is probabilistic forecasting in numerical weather prediction. The dominant approach to representing uncertainty in weather forecasting is to generate an ensemble…

Machine Learning · Computer Science 2023-10-10 Lizao Li , Rob Carver , Ignacio Lopez-Gomez , Fei Sha , John Anderson

The applicability of machine learning for predicting chaotic dynamics relies heavily upon the data used in the training stage. Chaotic time series obtained by numerically solving ordinary differential equations embed a complicated noise of…

Data Analysis, Statistics and Probability · Physics 2021-10-13 Igor A Khovanov

Pattern similarity-based methods are widely used in classification and regression problems. Repeated, similar-shaped cycles observed in seasonal time series encourage to apply these methods for forecasting. In this paper we use the pattern…

Machine Learning · Computer Science 2020-04-29 Grzegorz Dudek , Paweł Pełka

Long range forecasts are the starting point of many decision support systems that need to draw inference from high-level aggregate patterns on forecasted values. State of the art time-series forecasting methods are either subject to concept…

Machine Learning · Computer Science 2022-05-27 Prathamesh Deshpande , Sunita Sarawagi

Forecasting the weather is an increasingly data intensive exercise. Numerical Weather Prediction (NWP) models are becoming more complex, with higher resolutions, and there are increasing numbers of different models in operation. While the…

Applications · Statistics 2021-03-17 Charlie Kirkwood , Theo Economou , Henry Odbert , Nicolas Pugeault

Bayesian aggregation lets election forecasters combine diverse sources of information, such as state polls and economic and political indicators: as in our collaboration with The Economist magazine. However, the demands of real-time…

Methodology · Statistics 2025-10-23 Geonhee Han , Andrew Gelman , Aki Vehtari

High-precision modeling of systems is one of the main areas of industrial data analysis. Models of systems, their digital twins, are used to predict their behavior under various conditions. We have developed several models of a storage…

Machine Learning · Computer Science 2025-04-08 Abdalaziz Rashid Al-Maeeni , Aziz Temirkhanov , Artem Ryzhikov , Mikhail Hushchyn

In this paper, we present an adaptation of the sequence-to-sequence model for structured output prediction in vision tasks. In this model the output variables for a given input are predicted sequentially using neural networks. The…

Computer Vision and Pattern Recognition · Computer Science 2016-10-25 Georgia Gkioxari , Alexander Toshev , Navdeep Jaitly

We study the problem of predicting rare critical transition events for a class of slow-fast nonlinear dynamical systems. The state of the system of interest is described by a slow process, whereas a faster process drives its evolution and…

Computational Physics · Physics 2020-12-14 Soon Hoe Lim , Ludovico Theo Giorgini , Woosok Moon , J. S. Wettlaufer

In the effort to achieve carbon neutrality through a decentralized electricity market, accurate short-term load forecasting at low aggregation levels has become increasingly crucial for various market participants' strategies. Accurate…

Risk Management · Quantitative Finance 2023-05-17 Jungyeon Park , Estêvão Alvarenga , Jooyoung Jeon , Ran Li , Fotios Petropoulos , Hokyun Kim , Kwangwon Ahn