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Time series models often deal with extreme events and anomalies, both prevalent in real-world datasets. Such models often need to provide careful probabilistic forecasting, which is vital in risk management for extreme events such as…

Machine Learning · Statistics 2022-08-23 Ashkan Farhangi , Jiang Bian , Arthur Huang , Haoyi Xiong , Jun Wang , Zhishan Guo

We propose a unified framework that extends the inference methods for classical hidden Markov models to continuous settings, where both the hidden states and observations occur in continuous time. Two different settings are analyzed: hidden…

Methodology · Statistics 2021-06-18 Qingcan Wang , Weinan E

This paper presents an automated machine learning framework designed to assist hydrologists in detecting anomalies in time series data generated by sensors in a research watershed in the northeastern United States critical zone. The…

Machine Learning · Computer Science 2023-12-07 Ijaz Ul Haq , Byung Suk Lee , Donna M. Rizzo , Julia N Perdrial

We present a system for online probabilistic event forecasting. We assume that a user is interested in detecting and forecasting event patterns, given in the form of regular expressions. Our system can consume streams of events and forecast…

Databases · Computer Science 2018-12-18 Elias Alevizos , Alexander Artikis , Georgios Paliouras

Accurate monsoon rainfall prediction is vital for India's agriculture, water management, and climate risk planning, yet remains challenging due to sparse ground observations and complex regional variability. We present a multimodal deep…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Swaib Ilias Mazumder , Manish Kumar , Aparajita Khan

This study investigates the relationships which deep learning methods can identify between the input and output data. As a case study, rainfall-runoff modeling in a snow-dominated watershed by means of a long- and short-term memory (LSTM)…

Atmospheric and Oceanic Physics · Physics 2021-11-11 Kazuki Yokoo , Kei Ishida , Ali Ercan , Tongbi Tu , Takeyoshi Nagasato , Masato Kiyama , Motoki Amagasaki

Climate change is causing the intensification of rainfall extremes. Precipitation projections with high spatial resolution are important for society to prepare for these changes, e.g. to model flooding impacts. Physics-based simulations for…

Atmospheric and Oceanic Physics · Physics 2022-11-30 Henry Addison , Elizabeth Kendon , Suman Ravuri , Laurence Aitchison , Peter AG Watson

Climate change is intensifying rainfall extremes, making high-resolution precipitation projections crucial for society to better prepare for impacts such as flooding. However, current Global Climate Models (GCMs) operate at spatial…

Machine Learning · Computer Science 2024-12-20 Ran Lyu , Linhan Wang , Yanshen Sun , Hedanqiu Bai , Chang-Tien Lu

We propose the use of a stochastic variational frame prediction deep neural network with a learned prior distribution trained on two-dimensional rain radar reflectivity maps for precipitation nowcasting with lead times of up to 2 1/2 hours.…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Alexander Bihlo

Machine learning models can achieve high predictive accuracy in hydrological applications but often lack physical interpretability. The Mass-Conserving Perceptron (MCP) provides a physics-aware artificial intelligence (AI) framework that…

Machine Learning · Computer Science 2026-03-27 Mohammad A. Farmani , Hoshin V. Gupta , Ali Behrangi , Muhammad Jawad , Sadaf Moghisi , Guo-Yue Niu

The classical way of studying the rainfall-runoff processes in the water cycle relies on conceptual or physically-based hydrologic models. Deep learning (DL) has recently emerged as an alternative and blossomed in hydrology community for…

Machine Learning · Computer Science 2025-01-28 Yihan Wang , Lujun Zhang , Annan Yu , N. Benjamin Erichson , Tiantian Yang

We propose a parsimonious stochastic model for characterising the distributional and temporal properties of rainfall. The model is based on an integrated Ornstein-Uhlenbeck process driven by the Hougaard L\'evy process. We derive properties…

Methodology · Statistics 2015-01-27 Ragnhild C. Noven , Almut E. D. Veraart , Axel Gandy

Recent tropical cyclones, e.g., Hurricane Harvey (2017), have lead to significant rainfall and resulting runoff with accompanying flooding. When the runoff interacts with storm surge, the resulting floods can be greatly amplified and lead…

Computational Engineering, Finance, and Science · Computer Science 2024-05-27 Chayanon Wichitrnithed , Eirik Valseth , Ethan J. Kubatko , Younghun Kang , Mackenzie Hudson , Clint Dawson

Sequential Bayesian Filtering aims to estimate the current state distribution of a Hidden Markov Model, given the past observations. The problem is well-known to be intractable for most application domains, except in notable cases such as…

Machine Learning · Statistics 2024-02-16 Théophile Cantelobre , Carlo Ciliberto , Benjamin Guedj , Alessandro Rudi

As the frequency and severity of climate-related events such as droughts, floods, and water scarcity continue to escalate, accurate rainfall monitoring becomes increasingly critical. This paper covers various industry methods of measuring…

Systems and Control · Electrical Eng. & Systems 2024-12-04 Parth Saxena , Pratham Saxena , Adarsh Sowcar , Sreeharsha Angara , Ashutosh Pandey , Thomas Basikolo

We propose a Neural Hidden Markov Model (HMM) with Adaptive Granularity Attention (AGA) for high-frequency order flow modeling. The model addresses the challenge of capturing multi-scale temporal dynamics in financial markets, where…

Statistical Finance · Quantitative Finance 2026-03-24 Tianzuo Hu

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

Tropical monsoons play a critical role in shaping regional and global climate systems, with profound ecological and socio-economic impacts. However, their long-term prediction remains challenging due to the complex interplay of regional…

Geophysics · Physics 2025-02-24 Guanghao Ran , Jun Meng , Jingfang Fan

The primary objective of this paper is to analyze a set of canonical spatial patterns that approximate the daily rainfall across the Indian region, as identified in the companion paper where we developed a discrete representation of the…

Applications · Statistics 2021-01-26 Adway Mitra , Amit Apte , Rama Govindarajan , Vishal Vasan , Sreekar Vadlamani

Hidden Markov models (HMMs) and their extensions have proven to be powerful tools for classification of observations that stem from systems with temporal dependence as they take into account that observations close in time are likely…

Applications · Statistics 2021-11-22 Sofia Ruiz-Suarez , Vianey Leos-Barajas , Juan Manuel Morales
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