Neural networks in Wolfram Mathematica

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SUMMARY

The discussion centers on the viability of using neural networks within Wolfram Mathematica (WM) for scientific research, particularly in solving complex mathematical and physical problems. Participants express skepticism about WM's efficiency in handling neural networks beyond basic applications, such as digit recognition. The conversation highlights the potential of Physics-informed Machine Learning as a relevant area of research, suggesting that while WM may serve educational purposes, its capabilities for advanced scientific applications remain uncertain.

PREREQUISITES
  • Familiarity with Wolfram Mathematica (version not specified)
  • Understanding of neural network fundamentals
  • Knowledge of Physics-informed Machine Learning concepts
  • Experience with NDSolve for solving differential equations
NEXT STEPS
  • Explore advanced neural network functions in Wolfram Mathematica
  • Research Physics-informed Machine Learning techniques
  • Investigate the application of NDSolve in complex physical problems
  • Review case studies of neural networks used in scientific research
USEFUL FOR

Researchers, physicists, data scientists, and anyone interested in applying neural networks for scientific problem-solving using Wolfram Mathematica.

Vrbic
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TL;DR
Is it reasonable to do specific neural networks in WM?
Hello,
I have a question about the use of functions and overall creation of neural networks in the Wolfram Mathematica (WM) program. I wonder if it is realistic to make meaningful neural networks usable at least partially for scientific research in WM? By scientific research, I do not mean the study of neural networks directly, but their application to some specific mathematical or physical problems. Something like using NDSolve to solve the differential equations of e.g. Einstein's relativity, which may in turn lead to a new discovery or in general to the preparation of a scientific paper.

Or is it just a toy or a teaching aid for very specific tasks such as converting handwritten digits to digital digits shown in the WM tutorial?

Thank you for your opinions.
 
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