HOW it Works: Deep Neural Operators (DeepONets)

Please see our courses in the following link:
www.courses.ma...
Please visit our website in the following link:
www.machinedec...
Physics Informed Neural Networks (PINNs)
Inverse Physics Informed Neural Networks (I-PINNs)
Simulation By Deep Neural Operator (DeepONets)
PINNs Using NVIDIA Modulus
NVIDIA Modulus: Advanced Topics
Machine Learning For Engineering : A-Z

[@Dr.Mohammad_Samara]

Hope you can enjoy our courses in our Podia platform:
Apply "A320" Coupon to get a 25% discount, the first 100 students will get such discount.
www.courses.machinedecision.com/

[@mayazhussain]

Great Content Dr. M. Samara. I shall buy your courses soon 😀

[@Dr.Mohammad_Samara]

Thank you very much for your kind comment ☺️

[@Dr.Mohammad_Samara]

Hope you can enjoy our courses in our Podia platform:
www.courses.machinedecision.com/

[@user-of6vf9uv3z]

Great content but i think like your otther videos the volume needs some fixing. Keep up the good work

[@Dr.Mohammad_Samara]

Thank you I will work on it... And take care more of the RUclips channel.

[@beddybomb]

Hi Dr. Samara. Thank you for this content. This gives me some better intuition about how the neural operator maps between function spaces. Do you plan on making a course about the Fourier Neural Operator?

[@Dr.Mohammad_Samara]

I am glad you liked the content, there are planes to make a FNO course, now we have DeepONet only.

[@hosseinghadjari1496]

Hi Dr Samara
Really nice job. I am looking for a course for Gourier Neural operators. Will you prepare material for that one as well? I have a Poisson-like equation, Do you have any suggestion on which method can be the most reasonable method to solve the equation? ( I mean PINNs, or using Neural Operators).
We can consider the equation is a time-independent equation, then we don't need to find the answer for each instance.

[@Dr.Mohammad_Samara]

Hello
For the neural operator you are interested in the future I will be covering advance use of Nvidia Modulus library it have many nets for neural operators and it is keep on evolving.
For the which method is better it depends on what you are trying to do for example to solve the problem only you just use PINNs as you don't need data and if the bc and ic is simple you can make a general simple dnn to handle all, if you want Maje a general neural network for all ic and bc then deep neural operator is the direction to go.

[@hosseinghadjari1496]

@@Dr.Mohammad_SamaraHi Dr. Samara,
Many thanks for your response. Do you mean the course entitle: "PINNs Using NVIDIA Modulus"? Can I have your email or contact you through Linkedin?

[@profmaths4077]

Thank you Dr. Samara for these videos, I am actually searching to solve systems of Fredholm integral equation, and I want to use Deep learning techniques, can you guide me on where can I start it?

[@Dr.Mohammad_Samara]

Hello
Start simple 1d heat equation and then burgers eq. Using PINNs you can also explore deep neural operators methods which only uses data to model equations behavior then you can expand your scope to solve your spacific equation or system of equations.
Good luck