My personal notes from Advanced Topics in Environmental Modeling (CAP 425)

Last edited: 2024-02-17

This repository contains my work and personal notes for this course at INPE.

Course summary

• Anomalies and extreme events
• Statistical fundamentals
• Change monitoring and detection
• Examples involving Geostatistics and Machine Learning
• Applications in space weather - ionospheric scintillation, and hydrology - floods and urban flooding

Works

• manuscript directory: academic manuscript of the project developed in the course.

• project directory: code and results of the course project.

• cerrado.md: review points of New system is capable of predicting fires in the Cerrado in practically real time (original article in Portuguese)

• descriptive.md and descriptive.ipynb: review points on descriptive statistics

• average.ipynb: comparison of averages

• regression.ipynb: linear regression

• stochastic.ipynb: Stochastic Gradient Descent

Links of interest

• The Library of Celsus: considered an architectural marvel, it was the third largest library in the Greco-Roman world, behind only those in Alexandria and Pergamum. Today located near the modern city of Selçuk in the province of Izmir in western Turkey, the building was commissioned in the 110s AD by a consul of the Roman Empire, Tiberius Julius Aquila Polemaeanus, as a funerary monument for his father, Tiberius Julius Celsus Polemaeanus, former proconsul of Asia.

• Descriptive statistics: the process of using and analyzing a summary statistic that quantitatively describes characteristics of a collection of information.

• Regression analysis: is a set of statistical processes to estimate the relationships between a dependent variable and one or more independent variables, and the most common form is linear regression, in which the line that best fits the data is found according to a specific mathematical criterion.

• Escapil-Inchauspé & Ruz (2023) work on Horovod and PINN: https://github.com/pescap/HorovodPINNs

• Raissi et al. (2019) work on PINN: https://github.com/maziarraissi/PINNs

Presentations

(in Portuguese)

• Presentation of the subject Advanced Topics in Environmental Modeling. https://youtu.be/V1U7X8ZxWy0
• Modeling Provocations. https://youtu.be/27VdCcgjBiM
• Statistical Provocations. https://youtu.be/QnA5oSEfBIw
• Provocations: basic concepts in Complex Networks. https://youtu.be/oH3XWGeD89w
• Provocations: generation models in Complex Networks. https://youtu.be/a33RaqwNQMs
• Prof. Leonardo Santos channel, with material related to the course. https://www.youtube.com/@santoslblx

References

Albeverio, S., Jentsch, V., & Kantz, H. (Eds.). (2006). Extreme Events in Nature and Society. Springer. DOI: 10.1007/3-540-28611-X .

Santos, L. B. L., Londe, L. R., de Carvalho, T. J., S. Menasché, D., & Vega-Oliveros, D. A. (2019). About Interfaces Between Machine Learning, Complex Networks, Survivability Analysis, and Disaster Risk Reduction. In L. Bacelar Lima Santos, R. Galante Negri, & T. J. de Carvalho (Eds.), Towards Mathematics, Computers and Environment: A Disasters Perspective (pp. 185–215). Springer International Publishing. DOI: 10.1007/978-3-030-21205-6_10 .

Stephany, S., Strauss, C., Calheiros, A. J. P., de Lima, G. R. T., Garcia, J. V. C., & Pessoa, A. S. A. (2019). Data Mining Approaches to the Real-Time Monitoring and Early Warning of Convective Weather Using Lightning Data. In L. Bacelar Lima Santos, R. Galante Negri, & T. J. de Carvalho (Eds.), Towards Mathematics, Computers and Environment: A Disasters Perspective (pp. 83–101). Springer International Publishing. DOI: 10.1007/978-3-030-21205-6_5 .