My first scientific paper

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My first scientific paper

 

News

Fall 2025 — Functional Data Analysis starts soon

Before 13 February 2026 — My first scientific paper: Suggest your project here

On Thursdays at 17:50 —  Class m1p.org/go_zoom and discussion channel t.me

See results of 2024 —  on GitHub

Functional Data Analysis, 2025

The statistical analysis of spatial time series requires additional methods of data analysis. First, we suppose time is continuous, put the state space changes \(\frac{d\mathbf{x}}{dt}\), and use neural ordinary and stochastic differential equations. Second, we analyze a multivariate and multidimensional time series and use the tensor representation and tensor analysis. Third, since the time series have significant cross-correlation, we model them in the Riemannian space. Fourth, medical time series are periodic, the base model is the pendulum model, \(\frac{d^2x}{dt^2}=-c\sin{x}\). We use physics-informed neural networks to approximate data. Fifth, the practical experiments involve multiple data sources. We use canonical correlation analysis with a latent state space. This space aligns the source and target spaces and generates data in the source and target manifolds. See the FDA page.

Mathematical forecasting, 2025

This course delivers methods of model selection in machine learning and forecasting. The modeling data are videos, audio, encephalograms, fMRIs, and other measurements in natural science. The models are linear, tensor, deep neural networks, and neural ODEs. The practical examples are brain-computer interfaces, weather forecasting, and various spatial-time series forecasting. The lab works are organized as paper-with-code reports. See the page

My first scientific paper

This course produces student research papers. It gathers research teams. Each team consists of a student, a consultant, and an expert. The student is a project driver who wants to plunge into scientific research activities. The graduate student consultant conducts the research and helps the student. The expert, a professor, states the problem and enlightens the way to the goal. The projects start in February and end in May, according to the schedule.

Links

The Art of Scientific Research

The goal is to select and prepare the research topic of your dreams. We must be sure that the problem statement and project planning lead you to successful delivery according [[The Art of Scientific Research|to the syllabus. The repository template helps.

See also


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