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> You just write down your math equations as JAX and you're done.

It's natural when your basic unit is a whole vector (tensor), manipulated by some linear algebra expression. It's less natural if your basic unit is an element of a vector.

If you're solving sudoku, for example, the obvious 'update' is in-place.

In-place updates are also often the right answer for performance reasons, such as writing the output of a .map() operation directly to the destination tensor. Jax leans heavily on compile-time optimizations to turn the mathematically-nice code into computer-nice code, so the delta between eager-Jax and compiled-Jax is much larger than the delta between eager-Pytorch and compiled-Pytorch.



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