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Logistic models are studied as a tool to convert output from numerical weather forecasting systems (deterministic and ensemble) into probability forecasts for binary events. A logistic model obtains by putting the logarithmic odds ratio…

Atmospheric and Oceanic Physics · Physics 2009-01-29 Jochen Bröcker

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

Undulation of infection levels, usually called waves, are not well understood. In this paper we propose a mathematical model that exhibits undulation and decay towards a stable state. The model is a re-interpretation of the original…

Populations and Evolution · Quantitative Biology 2022-06-08 Niko Sauer

This article presents a new way to understand the descriptive ability of tree shape statistics. Where before tree shape statistics were chosen by their ability to distinguish between macroevolutionary models, the ``resolution'' presented in…

Populations and Evolution · Quantitative Biology 2007-05-23 Frederick A. Matsen

These condensed notes treat some basic notions in Tropical Geometry (varieties, cycles, modifications, equivalence). These topics are to be extended, illustrated and included to the upcoming book project…

Algebraic Geometry · Mathematics 2007-09-10 Grigory Mikhalkin

In this article, a new model based on techniques of differential equations is introduced to predict the athletic performance based training load and a data sample of the physical form of athletes arises. This model is an extension of the…

Classical Analysis and ODEs · Mathematics 2016-12-28 Marcos Matabuena , Rosana Rodriguez

We identify the phase of a cycle as a new critical factor for tipping points (critical transitions) in cyclic systems subject to time-varying external conditions. As an example, we consider how contemporary climate variability induces…

Dynamical Systems · Mathematics 2021-10-11 Hassan Alkhayuon , Rebecca C. Tyson , Sebastian Wieczorek

We provide a probabilistic approach to modeling the movements of subjects through multiple stages, with "stays" or survival at each stage for a random length of time, and ending at a desired final stage. We use conditional Markov chains…

Methodology · Statistics 2018-01-16 Martial Longla , Siva Sivaganesan

Deep learning-based tropical cyclone (TC) forecasting methods have demonstrated significant potential and application advantages, as they feature much lower computational cost and faster operation speed than numerical weather prediction…

Machine Learning · Computer Science 2026-04-03 Qixiang Li , Yuan Zhou , Shuwei Huo , Chong Wang , Xiaofeng Li

Footprints provide a way to estimate the relative impact of processes and products on the global climate. Including footprint analysis in a course on energy simultaneously provides students with an understanding of this tool and a…

Physics Education · Physics 2023-08-24 Seth A. Major

Increasing the modal share of bicycle traffic to reduce carbon emissions, reduce urban car traffic, and to improve the health of citizens, requires a shift away from car-centric city planning. For this, traffic planners often rely on…

Multiagent Systems · Computer Science 2023-10-16 Ahmet-Serdar Karakaya , Konstantin Köhler , Julian Heinovski , Falko Dressler , David Bermbach

Many human social phenomena, such as cooperation, the growth of settlements, traffic dynamics and pedestrian movement, appear to be accessible to mathematical descriptions that invoke self-organization. Here we develop a model of pedestrian…

Statistical Mechanics · Physics 2015-06-25 Dirk Helbing , Joachim Keltsch , Peter Molnar

Oscillators are ubiquitous in nature, and usually associated with the existence of an asymptotic phase that governs the long-term dynamics of the oscillator. % We show that asymptotic phase can be estimated using a carefully chosen series…

Dynamical Systems · Mathematics 2022-03-10 Simon Wilshin , Matthew D. Kvalheim , Clayton Scott , Shai Revzen

In the prediction of oscillating time series, the interest is in the turning points of successive oscillations rather than the samples themselves. For this purpose a scheme has been proposed; the state space reconstruction is limited to the…

Chaotic Dynamics · Physics 2008-09-15 D. Kugiumtzis , I. Vlachos

The machine learning lifecycle extends beyond the deployment stage. Monitoring deployed models is crucial for continued provision of high quality machine learning enabled services. Key areas include model performance and data monitoring,…

Machine Learning · Statistics 2020-07-14 Janis Klaise , Arnaud Van Looveren , Clive Cox , Giovanni Vacanti , Alexandru Coca

Complex systems' modeling and simulation are powerful ways to investigate a multitude of natural phenomena providing extended knowledge on their structure and behavior. However, enhanced modeling and simulation require integration of…

Accurate forecasting of Tropical cyclone (TC) intensity is crucial for formulating disaster risk reduction strategies. Current methods predominantly rely on limited spatiotemporal information from ERA5 data and neglect the causal…

Atmospheric and Oceanic Physics · Physics 2024-02-22 Xinyu Wang , Kang Chen , Lei Liu , Tao Han , Bin Li , Lei Bai

Tropical cyclones (TCs), driven by heat exchange between the air and sea, pose a substantial risk to many communities around the world. Accurate characterization of the subsurface ocean thermal response to TC passage is crucial for accurate…

Applications · Statistics 2024-03-18 Addison J. Hu , Mikael Kuusela , Ann B. Lee , Donata Giglio , Kimberly M. Wood

Counting how many particles pass through a specific space within a specific time is an interesting question in applied physics and social science. Here a logistic model is developed to estimate the total number of flowing particles. This…

Physics and Society · Physics 2020-03-30 Byung Mook Weon

The study of thrombosis is crucial to understand and develop new therapies for diseases like deep vein thrombosis, diabetes related strokes, pulmonary embolism etc. The last two decades have seen an exponential growth in studies related to…

Medical Physics · Physics 2019-11-28 Sumith Yesudasan , Rodney D. Averett