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AI Invasion ?

The word AI has become a household word.  Now that OpenAI’s interpretive large language model Chat-GPT (Financed and supported by Microsoft) is being used/misused for everything from  writing essays, legal documents, for generating mathematical proofs and even telling jokes etc. I wondered how much of this is hype and how much is real. So I decided to test it out myself.


First I asked  Chat-GPT (in simple spoken language)  to write me a neural net code, in particular a Radial Basis Function NN code that can be used in OCTAVE which is essentially a free version of MATLAB. To my wonder, it did  write the code that can be used in OCTAVE,  using its own training data!  That is great. Saves me a lot of time writing and debugging codes. 

Next thing  I did was to test  Chat-GPT’s ability to solve non-linear dynamic differential equation. I first tested it to solve Lorenz attractor, often used in the analysis of chaotic time series. The solutions it gave  agreed with  those already published !. Next I gave  set of non-linear multi-variable set of differential equations which I developed for Chaotic series , in particular for Financial Markets analysis.  In solving these Chat-GPT used a number of functions available in OCTAVE (I wasn’t even aware of a lot of them which could be used for my purpose)  and gave a solution. I still  need to test the prediction  But now that I have this code I can test very quickly how well my model works. 


Sometime ago, I learnt from a post in Linkdin that that some scientists in Germany have used neural net to solve Schrodinger equation , in some approximate form.  May be this will be my next attempt. .

 

So far all the tests have been on writing codes, getting numerical solutions etc. Since Chat-GPT is AI (neural net) based, next I wanted to try its analytical ability, by asking it to do a simple integral l (which a high school student can do).  Boy!  Did it fail miserably !  I gave a deep sigh of relief. It was pleasing to know  that it cannot do everything. But this relief may not last long. The last I heard was that OpenAI is trying to collaborate with Mathematica to make CHAT-gpt even  more general.

 

It is possible that as more and more knowledge and data is given to AI systems , they can get creative and come up with their  own models, may be better model of the interior of earth, and even Universe.  Who needs scientists then?  Well, for now, I am having fun testing these things.

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