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Time series aggregation (TSA) aims to construct temporally aggregated optimization models that accurately represent the output space of their full-scale counterparts while using a significantly reduced temporal dimensionality. This paper…

Optimization and Control · Mathematics 2026-03-16 Thomas Klatzer , David Cardona-Vasquez , Luca Santosuosso , Sonja Wogrin

Surrogate networks can constitute suitable replacements for real networks, in particular to study dynamical processes on networks, when only incomplete or limited datasets are available. As empirical datasets most often present complex…

Physics and Society · Physics 2025-04-17 Giulia Cencetti , Alain Barrat

Correlation matrices contain a wide variety of spatio-temporal information about a dynamical system. Predicting correlation matrices from partial time series information of a few nodes characterizes the spatio-temporal dynamics of the…

Machine Learning · Computer Science 2023-03-14 Nikhil Easaw , Woo Seok Lee , Prashant Singh Lohiya , Sarika Jalan , Priodyuti Pradhan

Typical deep learning approaches to modeling high-dimensional data often result in complex models that do not easily reveal a new understanding of the data. Research in the deep learning field is very actively pursuing new methods to…

Machine Learning · Computer Science 2022-05-16 Charles Anderson , Jason Stock , David Anderson

Subseasonal forecasting of the weather two to six weeks in advance is critical for resource allocation and advance disaster notice but poses many challenges for the forecasting community. At this forecast horizon, physics-based dynamical…

Climate science is critical for understanding both the causes and consequences of changes in global temperatures and has become imperative for decisive policy-making. However, climate science studies commonly require addressing complex…

Machine Learning · Computer Science 2020-09-23 Juan Carrillo , Daniel Garijo , Mark Crowley , Rober Carrillo , Yolanda Gil , Katherine Borda

We introduce a new formulation of local clustering coefficient for weighted correlation networks. This new formulation is based upon a definition introduced previously in the neuroscience context and aimed at compensating for spurious…

Data Analysis, Statistics and Probability · Physics 2022-12-29 Mikhail Krivonosov , Olga Vershinina , Anna Pirova , Shraddha Gupta , Oleg Kanakov , Jürgen Kurths

Hierarchical tree structures are common in many real-world systems, from tree roots and branches to neuronal dendrites and biologically inspired artificial neural networks, as well as in technological networks for organizing and searching…

Statistical Mechanics · Physics 2025-02-04 Davide Cipollini , Lambert Schomaker

Correlation Networks (CNs) inherently suffer from redundant information in their network topology. Bayesian Networks (BNs), on the other hand, include only non-redundant information (from a probabilistic perspective) resulting in a sparse…

Data Analysis, Statistics and Probability · Physics 2020-11-03 Catharina Graafland , José M. Gutiérrez , Juan M. López , Diego Pazó , Miguel A. Rodríguez

At present, state-of-the-art forecasting models are short of the ability to capture spatio-temporal dependency and synthesize global information at the stage of learning. To address this issue, in this paper, through the adaptive fuzzified…

Artificial Intelligence · Computer Science 2025-07-29 Lijian Li

Renewable energy power is influenced by the atmospheric system, which exhibits nonlinear and time-varying features. To address this, a dynamic temporal correlation modeling framework is proposed for renewable energy scenario generation. A…

Machine Learning · Computer Science 2025-01-27 Xiaochong Dong , Yilin Liu , Xuemin Zhang , Shengwei Mei

The majority of real-world processes are spatiotemporal, and the data generated by them exhibits both spatial and temporal evolution. Weather is one of the most essential processes in this domain, and weather forecasting has become a…

Machine Learning · Computer Science 2024-09-24 Shakir Showkat Sofi , Ivan Oseledets

Klaus Hasselmann's revolutionary intuition in climate science was to take advantage of the stochasticity associated with fast weather processes to probe the slow dynamics of the climate system. This has led to fundamentally new ways to…

Atmospheric and Oceanic Physics · Physics 2023-12-27 Valerio Lucarini , Mickaël Chekroun

Many real-world complex systems, such as epidemic spreading networks and ecosystems, can be modeled as networked dynamical systems that produce multivariate time series. Learning the intrinsic dynamics from observational data is pivotal for…

Machine Learning · Computer Science 2024-12-30 Yanna Ding , Zijie Huang , Malik Magdon-Ismail , Jianxi Gao

With climate change intensifying fire weather conditions globally, accurate seasonal wildfire forecasting has become critical for disaster preparedness and ecosystem management. We introduce FireCastNet, a novel deep learning architecture…

Recent technological advances and long-term data studies provide interaction data that can be modelled through dynamic networks, i.e a sequence of different snapshots of an evolving ecological network. Most often time is the parameter along…

Populations and Evolution · Quantitative Biology 2017-01-06 Vincent Miele , Catherine Matias

Reverse engineering of complex dynamical networks is important for a variety of fields where uncovering the full topology of unknown networks and estimating parameters characterizing the network structure and dynamical processes are of…

Data Analysis, Statistics and Probability · Physics 2012-12-19 Wen-Xu Wang , Jie Ren , Ying-Cheng Lai , Baowen Li

While current time series research focuses on developing new models, crucial questions of selecting an optimal approach for training such models are underexplored. Tsururu, a Python library introduced in this paper, bridges SoTA research…

Machine Learning · Computer Science 2025-09-22 Alina Kostromina , Kseniia Kuvshinova , Aleksandr Yugay , Andrey Savchenko , Dmitry Simakov

Understanding climate change requires reasoning over complex causal networks. Yet, existing causal discovery datasets predominantly capture explicit, direct causal relations. We introduce ClimateCause, a manually expert-annotated dataset of…

Computation and Language · Computer Science 2026-04-17 Liesbeth Allein , Nataly Pineda-Castañeda , Andrea Rocci , Marie-Francine Moens

Thermodynamics (in concert with its sister discipline, statistical physics) can be regarded as a data reduction scheme based on partitioning a total system into a subsystem and a bath that weakly interact with each other. The ubiquity and…

Statistical Mechanics · Physics 2009-11-11 David Ford , Steven Huntsman