Python Symbolic Regression (PySR) [Physics Informed Machine Learning] 

As someone in this field, your work is having a 1000x impact with these easy to digest explainers. Absolutely fantastic work!

I don't have words to express how thankful I am for this channel.

Congrats to Miles for getting coverage here

13:48 Interesting that the Planck and Rydberg benchmarks, which I assume are data from quantum systems, have a 0/5 in every method tested

Vivek here - awesome video! What about KANs (Kolmogorov Arnold Networks)? - would you say they belong to the family of "interpretable ML models"?

Simply fantastic outreach work Professor Brunton. Thank you so much for the incredible contributions you bring to your channel!

Thank you so much for sharing about Symbolic Regression! I'm not in the development of SR, but have been testing a lot of the variants for some time for engineering and finance. It's surprisingly useful for HFT. It's incredibly relevant today despite discouragement simply because it's an old concept. One paper showed that it could compress data, two papers showed some could outperform SVM despite being much faster for inference (800x + faster in one test of my own). It's shown use cases in electrical engineering, civil engineering, and physics, and finance. The solutions are low level, without the need of libraries. Some are robust to noise too. Again, thanks for your discussion and sharing!

It would be beyond great to see a video on Kolmogorov-Arnold Networks (KANs) leveraging their interpretability for Physics Informed ML somehow. Perhaps, KANs could be used to replace MLP/FFN blocks in existing Physics Informed ML models?

It would be awesome to see videos on SPINDE and Neural SDEs too. Can symbolic regression be used to learn/find SDE terms to fit to data as an alternative to Neural SDEs?

Curious as to why PySR failed with Planck. Was that due to weakness in modeling stochastic diffeqs?

Great video. Thank you Prof

Sir can you pls structure all of your videos, I will be starting my undergrad soon so this will help a lot, we would be extremely grateful to you, THANKU 🙏🙏

Love your work! Makes me want to lean more into this filed of research

great video, I want to know what is this pysr model or library is good for fitting the predetermined equations or you can fit the data as well, i mean can i give this model a bunch of data and it will be able to tell me the equation.

Why is PySR considered N/A for DE?

What are the best entry level books for ML, AI, any other related topic?

Wow! just wow

I believe genetic programming enables the evolution of computer programs, not just mathematical expressions like symbolic regression

❤thank you sir very informative. I kinda understood it.

Thank you...

This is amazing. Thank you!

So now someone just has to combine Sindy with PySR. It should be pretty simple.

Funny to see scientists still stuck in python even after industry has moved away from python 🤣🤣🤣🤣