Using machine learning to let a computer learn calculus

Are there any known approaches to computing machine learning?

I found out that it’s quite simple to teach derivation calculation, because it’s possible to implement an algorithm.

Meanwhile, the implementation of integration is possible, but rarely or never fully implemented due to the complexity of the algorithm.

I am curious if there are any academic successes in using machine learning science to evaluate and calculate integrals.


Edit

I am interested in teaching computer integration using neural networks or similar methods .

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2 answers

My personal opinion is that it is impossible to feed sufficient rules for integration into NN. What for? Since NNs are good for linear regression (AKA approximation) or logical regression (AKA classification). Integration is neither one nor the other. This is a computational task in accordance with some rigorous algorithms. Therefore, from this perspective, some mathematical methods of integration should be used.

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There are quite a few mathematical software that will calculate derivatives and integral calculus for you. Some of the popular programs include MATLAB, Maple, Mathematica, etc. This software will help you learn quite easily.

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Source: https://habr.com/ru/post/1584465/


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