When naming a mathematically modeled organization, you may want to choose a name that clearly conveys your goals and activities. Here are some possible options:

1. Mathematical Modeling Research Society

2. Mathematical Modeling Competition Club

3. Institute of Modeling and Optimization

4. Mathematical Model Construction and Optimization Center

5. Mathematical modeling and application team

6. Society of Modeling and Algorithms

7. Mathematical Model Building and Solution Research Association

8. Mathematical Modeling Practice Association

9. Mathematical Model Innovation and Research Center

10. Mathematical Modeling and Machine Learning Association

You can choose an appropriate name according to the specific goals and activities of your organization and your personal or team preferences.