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Accurate forecasting of tropical cyclone (TC) intensity - particularly during periods of rapid intensification and rapid weakening - remains a challenge for operational meteorology, with high-stakes implications for disaster preparedness…

Atmospheric and Oceanic Physics · Physics 2025-09-29 Hongyu Qu , Hongxiong Xu , Lin Dong , Chunyi Xiang , Gaozhen Nie

Tropical cyclone and sea surface temperature data have been used in several studies to forecast the total number of hurricanes in the Atlantic Basin. Sea surface temperature (SST) and latent heat flux (LHF) are correlated with tropical…

Applications · Statistics 2018-05-10 Marcela Alfaro Córdoba , Montserrat Fuentes , Joseph Guinness , Lian Xie

The parameters of a discrete stationary Markov model are transition probabilities between states. Traditionally, data consist in sequences of observed states for a given number of individuals over the whole observation period. In such a…

Computation · Statistics 2012-04-30 Alberto Pasanisi , Shuai Fu , Nicolas Bousquet

Extreme environmental events such as severe storms, drought, heat waves, flash floods, and abrupt species collapse have become more prevalent in the earth-atmosphere dynamic system in recent years. In order to fully understand the…

Methodology · Statistics 2025-08-05 Myungsoo Yoo , Likun Zhang , Christopher K. Wikle , Thomas Opitz

Filtering is concerned with the sequential estimation of the state, and uncertainties, of a Markovian system, given noisy observations. It is particularly difficult to achieve accurate filtering in complex dynamical systems, such as those…

Probability · Mathematics 2015-12-14 Wonjung Lee , Andrew Stuart

Severe Ionosphere magnetic storms are feared events for integrity and continuity of navigation systems such as EGNOS, the European SBAS (Satellite-Based Augmentation System) complementing GPS and an accurate modelling of this event…

Statistics Theory · Mathematics 2015-05-22 Malika Chassan , Jean-Marc Azaïs , Guillaume Buscarlet , Norbert Suard

The hidden Markov model (HMM) provides a powerful framework for inference in time-varying environments, where the underlying state evolves according to a Markov chain. To address the optimal filtering problem in general dynamic settings, we…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Dongyan Sui , Haotian Pu , Siyang Leng , Stefan Vlaski

Inferring time-varying networks is important to understand the development and evolution of interactions over time. However, the vast majority of currently used models assume direct measurements of node states, which are often difficult to…

Applications · Statistics 2014-05-06 Xin Wang , Ke Yuan , Christoph Hellmayr , Wei Liu , Florian Markowetz

Hidden Markov models (HMMs) have been used increasingly to understand how movement patterns of animals arise from behavioural states. An animal is assumed to transition between behavioural states through time, as described by transition…

Quantitative Methods · Quantitative Biology 2025-10-07 Théo Michelot , Emma Storey

The study of the rapid intensification process of Tropical Cyclones (TCs) is a current, yet lacking research topic in Mexico, where thermal and dynamic factors at the microscale and mesoscale fundamentally intervene. Due to the little…

Atmospheric and Oceanic Physics · Physics 2024-09-24 Mauricio López-Reyes , Ángel Meulenert

We consider the filtering of continuous-time finite-state hidden Markov models, where the rate and observation matrices depend on unknown time-dependent parameters, for which no prior or stochastic model is available. We quantify and…

Probability · Mathematics 2021-03-17 Andrew L. Allan

This paper describes a novel machine learning (ML) framework for tropical cyclone intensity and track forecasting, combining multiple ML techniques and utilizing diverse data sources. Our multimodal framework, called Hurricast, efficiently…

Machine Learning · Computer Science 2022-11-04 Léonard Boussioux , Cynthia Zeng , Théo Guénais , Dimitris Bertsimas

The generation of synthetic tropical cyclone(TC) tracks for risk assessment is a critical application of preparedness for the impacts of climate change and disaster relief, particularly in North America. Insurance companies use these…

Machine Learning · Computer Science 2025-05-22 Shouwei Gao , Meiyan Gao , Yuepeng Li , Wenqian Dong

Over the last decade, hidden Markov models (HMMs) have become increasingly popular in statistical ecology, where they constitute natural tools for studying animal behavior based on complex sensor data. Corresponding analyses sometimes…

Methodology · Statistics 2025-10-15 Jan-Ole Koslik , Carlina C. Feldmann , Sina Mews , Rouven Michels , Roland Langrock

We consider two-state Non-Homogeneous Hidden Markov Models (NHHMMs) for forecasting univariate time series. Given a set of predictors, the time series are modeled via predictive regressions with state dependent coefficients and time-varying…

Methodology · Statistics 2019-07-31 Constandina Koki , Loukia Meligkotsidou , Ioannis Vrontos

Because geostationary satellite (Geo) imagery provides a high temporal resolution window into tropical cyclone (TC) behavior, we investigate the viability of its application to short-term probabilistic forecasts of TC convective structure…

Applications · Statistics 2023-04-11 Trey McNeely , Pavel Khokhlov , Niccolo Dalmasso , Kimberly M. Wood , Ann B. Lee

Tropical cyclones (TCs) are powerful, natural phenomena that can severely impact populations and infrastructure. Enhancing our understanding of the mechanisms driving their intensification is crucial for mitigating these impacts. To this…

Atmospheric and Oceanic Physics · Physics 2024-10-30 Yassine Tissaoui , Stephen R. Guimond , Francis X. Giraldo , Simone Marras

Global warming is projected to intensify the hydrological cycle, amplifying risks to ecosystems and society. While extreme rainfall appears to exhibit stronger sensitivity to global warming compared to mean rainfall rates, a unifying…

Atmospheric and Oceanic Physics · Physics 2026-01-13 Jun Yin , Bei Gao , Amilcare Porporato

With the symbolic framework of Probability Bracket Notation (PBN), the Markov Sequence Projector (MSP) is introduced to expand the evolution formula of Homogeneous Markov Chains (HMCs). The well-known weather example, a Visible Markov Model…

Artificial Intelligence · Computer Science 2025-02-21 Xing M. Wang

Tropical cyclone (TC) forecasting is crucial for disaster preparedness and mitigation. While recent deep learning approaches have shown promise, existing methods often treat TC evolution as a series of independent frame-to-frame…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Zhibo Ren , Pritthijit Nath , Pancham Shukla
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