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Functional data are typically modeled as sample paths of smooth stochastic processes in order to mitigate the fact that they are often observed discretely and noisily, occasionally irregularly and sparsely. The smoothness assumption is…

Methodology · Statistics 2021-12-23 Neda Mohammadi , Victor M. Panaretos

Spatiotemporal forecasting has various applications in neuroscience, climate and transportation domain. Traffic forecasting is one canonical example of such learning task. The task is challenging due to (1) complex spatial dependency on…

Machine Learning · Computer Science 2018-02-26 Yaguang Li , Rose Yu , Cyrus Shahabi , Yan Liu

Many time series applications require access to multi-step forecast trajectories in the form of sample paths. Recently, time series foundation models have leveraged multi-step lookahead predictions to improve the quality and efficiency of…

Identifying mobility behaviors in rich trajectory data is of great economic and social interest to various applications including urban planning, marketing and intelligence. Existing work on trajectory clustering often relies on similarity…

Machine Learning · Computer Science 2020-03-04 Mingxuan Yue , Yaguang Li , Haoze Yang , Ritesh Ahuja , Yao-Yi Chiang , Cyrus Shahabi

A characteristic feature of functional data is the presence of phase variability in addition to amplitude variability. Existing functional regression methods do not handle time variability in an explicit and efficient way. In this paper we…

Methodology · Statistics 2014-04-22 Daniel Gervini

Traffic problems have seriously affected people's life quality and urban development, and forecasting the short-term traffic congestion is of great importance to both individuals and governments. However, understanding and modeling the…

Signal Processing · Electrical Eng. & Systems 2020-03-17 Meng Chen , Xiaohui Yu , Yang Liu

Abrupt and rapid high-amplitude changes in a dynamical system's states known as extreme event appear in many processes occurring in nature, such as drastic climate patterns, rogue waves, or avalanches. These events often entail catastrophic…

Fluid Dynamics · Physics 2023-06-29 Urszula Golyska , Nguyen Anh Khoa Doan

Even though clustering trajectory data attracted considerable attention in the last few years, most of prior work assumed that moving objects can move freely in an euclidean space and did not consider the eventual presence of an underlying…

Machine Learning · Computer Science 2012-10-04 Mohamed Khalil El Mahrsi , Fabrice Rossi

In this paper, we present our work on clustering and prediction of temporal dynamics of global congestion configurations in large-scale road networks. Instead of looking into temporal traffic state variation of individual links, or of small…

Machine Learning · Computer Science 2012-12-20 Yufei Han , Fabien Moutarde

Clustering is a powerful tool which has been used in several forecasting works, such as time series forecasting, real time storm detection, flood forecasting and so on. In this paper, a generic methodology for weather forecasting is…

Computers and Society · Computer Science 2014-06-19 Sanjay Chakraborty , N. K. Nagwani , Lopamudra Dey

The death toll and monetary damages from landslides continue to rise despite advancements in predictive modeling. The predictive capability of these models is limited as landslide databases used in training and assessing the models often…

Machine Learning · Computer Science 2023-10-17 Kamal Rana , Kushanav Bhuyan , Joaquin Vicente Ferrer , Fabrice Cotton , Ugur Ozturk , Filippo Catani , Nishant Malik

Functional data analysis is a statistical framework where data are assumed to follow some functional form. This method of analysis is commonly applied to time series data, where time, measured continuously or in discrete intervals, serves…

Applications · Statistics 2020-04-07 Forrest Paton , Paul D. McNicholas

Data-driven flood forecasting methods are useful, especially for the rivers that lack hydrological information to build physical models. Although these former methods can forecast river stages using only past water levels and rainfall data,…

Geophysics · Physics 2021-04-07 Shunya Okuno , Koji Ikeuchi , Kazuyuki Aihara

As the development of measuring instruments and computers has accelerated the collection of massive amounts of data, functional data analysis (FDA) has experienced a surge of attention. The FDA methodology treats longitudinal data as a set…

Methodology · Statistics 2024-07-09 Tomoya Wakayama , Hidetoshi Matsui

Accurate tropical cyclones (TCs) tracking represents a critical challenge in the context of weather and climate science. Traditional tracking schemes mainly rely on subjective thresholds, which may introduce biases in their skills on the…

Machine Learning · Computer Science 2026-03-27 Davide Donno , Donatello Elia , Gabriele Accarino , Marco De Carlo , Enrico Scoccimarro , Silvio Gualdi

Model-based reinforcement learning methods often use learning only for the purpose of estimating an approximate dynamics model, offloading the rest of the decision-making work to classical trajectory optimizers. While conceptually simple,…

Machine Learning · Computer Science 2022-12-22 Michael Janner , Yilun Du , Joshua B. Tenenbaum , Sergey Levine

Determining onflow parameters is crucial from the perspectives of wind tunnel testing and regular flight and wind turbine operations. These parameters have traditionally been predicted via direct measurements which might lead to challenges…

Machine Learning · Computer Science 2025-06-19 Emre Yilmaz , Philipp Bekemeyer

The increasing frequency of extreme weather events has posed significant risks to the operation of power grids. During long-duration extreme weather events, microgrid formation (MF) is an essential solution to enhance the resilience of the…

Systems and Control · Electrical Eng. & Systems 2024-06-03 Ziang Liu , Sheng Cai , Qiuwei Wu , Xinwei Shen , Xuan Zhang , Nikos Hatziargyriou

This study explores the application of diffusion models in the field of typhoons, predicting multiple ERA5 meteorological variables simultaneously from Digital Typhoon satellite images. The focus of this study is taken to be Taiwan, an area…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Zhangyue Ling , Pritthijit Nath , César Quilodrán-Casas

Transportation modes prediction is a fundamental task for decision making in smart cities and traffic management systems. Traffic policies designed based on trajectory mining can save money and time for authorities and the public. It may…

Artificial Intelligence · Computer Science 2018-09-07 Mohammad Etemad , Amilcar Soares Junior , Stan Matwin