Tensor train optimization for mathematical model of social networks

Understand

The optimization algorithms for solving multi-parameter inverse problem for the mathematical model of parabolic equations arising in social networks, epidemiology and economy are investigated.

• The data fitting is formulated as optimization of least squares misfit function.
• Firstly, the tensor train decomposition approach is presented as global convergence algorithm.
• The idea of proposed method is to extract the tensor structure of the optimized functional and use it for optimization.