Preambule for Novices

Univers is made of energy which can be observed in shape of waves or particules (physics),  in shape of molecules (chemistry),  in shape of organic molecules (biology),  more natural complex systems (minerals, vegetals, animals) and human made complex systems (mechanics, electronics, robotics and computers). These observations are made throught sensors providing data that are the state variables of the observed (microscopic/macroscopic, simple/complex, static/dynamic) entity. The measures are provided with a dimension with or without an unity (SI). The observed data can be considered as nD signals for waves and particules, and as graph structures for molecules (chemistry, biology) . 

My research consists to research information with computer ressources using 1D signals, (2D, 2D+t, 3D)  signals and nD signals for phenomenon based on waves and particules, and structure organization between entities using graph models for molecules. [Computer Research]

The challenges met in the data varies in terms of:

• Imprecision, uncertainty and imcompletnesss.

• Volume. [Big Data]

• Dimension [Mathematics]: Scalars, vectors, matrices, and tensors. [Multi-dimensional Data]

• Dimension [Signal Processing] :1-D, 2-D, 3-D, etc. [Multi-dimensional Data]

• Distribution: Homogeneity and heterogeneity.  [Various Sensors]

• Distribution: Homoscedasticity and heteroscedasticity (i.e not the same variance).

• Noise distribution (Gaussian, Laplacian, etc).

They can be handled with mathematical concepts, machine learning methods, and signal processing techniques. [Theoretical Research]

Once the information are found in terrestrial monitoring, space monitoring and health monitoring, preservation and protection decision can scientifically taken. [Applications Research]

Computer  Research

Theoretical Research

Application Research