I think these underlying theory/hope it would lead to better integration of the computer/calculator into the model. Similar to mental arithmetic vs using a calculator. mental arithmetic is way smoother in the thinking process if you're good at it ( which putting a small computer inside your brain would probably achieve)

I’ve always wondered why we don’t add a few frozen “layers” to models that perform complex computations 2/3rds deep in the model. Some set of steerable fft + some common vector math operations could be reusable units of capability that the model learns to leverage during training.

Given that models learn to use residual connections optimally, it can’t be hard for them to steer around the fixed computation layer when it’s not needed.

I’m sure giant models invest a few layers in reproducing these functions, but surely smaller models can benefit?

[dead]