StochasticAD.jl VS Zygote.jl

This is disregarding the development of said ecosystems though. The point is that Python has been quite inhibitory to the development of this ecosystem. There are many corpses of automatic differentiation libraries (starting from autograd and tangent and then to things like theano to finally tensorflow and pytorch) and many corpses of JIT compilers and accelerators (Cython, Numba, pypy, and TensorFlow XLA, now PyTorch v2's JIT, etc.).

What has been found over the last decade is that a large part of that is due to the design of the languages. Jan Vitek for example has a great talk which describes how difficult it is to write a JIT compiler for R due to certain design choices in the language (https://www.youtube.com/watch?v=VdD0nHbcyk4, or the more detailed version https://www.youtube.com/watch?v=HStF1RJOyxI). There are certain language constructs that void lots of optimizations which have to then be worked around, which is why Python JITs choose subsets of the language to avoid specific parts that are not easy to optimize or not possible to optimize. This is why each take a domain-specific subset, a different subset of the language for numba vs jax vs etc., to choose something that is nice for ML vs for more generic codes.

With all of that, it's perfectly reasonable to point out that there have been languages which have been designed to not have the compilation difficulties, which have resulted having a single (JIT) compiler for the language. And by extension, it has made building machine learning and autodiff libraries not something that's a Google or Meta scale project (for example, PyTorch involves building GPU code bindings and a specialized JIT, not something very accessible). Julia is a language to point to here, but I think well-designed static languages like Rust also deserve a mention. How much further would we have gone if every new ML project didn't build a new compiler and a new automatic differentiation engine? What if the development was more modular and people could easy just work on the one thing they cared about?

As a nice example, for last NeurIPS we put out a paper on automatic differentiation of discrete stochastic models, i.e. extending AD to automatically handle cases like agent-based models. The code is open source (https://github.com/gaurav-arya/StochasticAD.jl), and you can see it's almost all written by a (talented) undergraduate over a span of about 6 months. It requires the JIT compilation because it works on a lot of things that are not solely in big matrix multiplication GPU kernels, but Julia provides that. And multiple dispatch gives GPU support. Done. The closest thing in PyTorch, storchastic, gets exponential scaling instead of StochasticAD's linear, and isn't quite compatible with a lot of what's required for ML, so it benchmarks as thousands of times slower than the simple Julia code. Of course, when Meta needs it they can and will put the minds of 5-10 top PhDs on it to build it out into a feature of PyTorch over 2 years and have a nice release. But at the end of the day we really need to ask, is that how it should be?

Found relevant code at https://github.com/gaurav-arya/StochasticAD.jl + all code implementations here

If you look at Julia open source projects you'll see that the projects tend to have a lot more contributors than the Python counterparts, even over smaller time periods. A package for defining statistical distributions has had 202 contributors (https://github.com/JuliaStats/Distributions.jl), etc. Julia Base even has had over 1,300 contributors (https://github.com/JuliaLang/julia) which is quite a lot for a core language, and that's mostly because the majority of the core is in Julia itself.

This is one of the things that was noted quite a bit at this SIAM CSE conference, that Julia development tends to have a lot more code reuse than other ecosystems like Python. For example, the various machine learning libraries like Flux.jl and Lux.jl share a lot of layer intrinsics in NNlib.jl (https://github.com/FluxML/NNlib.jl), the same GPU libraries (https://github.com/JuliaGPU/CUDA.jl), the same automatic differentiation library (https://github.com/FluxML/Zygote.jl), and of course the same JIT compiler (Julia itself). These two libraries are far enough apart that people say "Flux is to PyTorch as Lux is to JAX/flax", but while in the Python world those share almost 0 code or implementation, in the Julia world they share >90% of the core internals but have different higher levels APIs.

If one hasn't participated in this space it's a bit hard to fathom how much code reuse goes on and how that is influenced by the design of multiple dispatch. This is one of the reasons there is so much cohesion in the community since it doesn't matter if one person is an ecologist and the other is a financial engineer, you may both be contributing to the same library like Distances.jl just adding a distance function which is then used in thousands of places. With the Python ecosystem you tend to have a lot more "megapackages", PyTorch, SciPy, etc. where the barrier to entry is generally a lot higher (and sometimes requires handling the build systems, fun times). But in the Julia ecosystem you have a lot of core development happening in "small" but central libraries, like Distances.jl or Distributions.jl, which are simple enough for an undergrad to get productive in a week but is then used everywhere (Distributions.jl for example is used in every statistics package, and definitions of prior distributions for Turing.jl's probabilistic programming language, etc.).

I think julia has a lot going for it. I feel like autograd is one of the bigger ones given that it's a language feature basically (https://github.com/FluxML/Zygote.jl for reference). I think the ecosystem is a bit of an uphill battle though.

Also check out https://github.com/FluxML/Zygote.jl which is the AD engine

> There's sadly no performant autodiff system for general purpose Python.

Like there is for general purpose Julia? (https://github.com/FluxML/Zygote.jl)

Thanks again. Like you said it is fun to dream (ask the "Scheme Machine" guys sometime about how they would go about it now), but practically with technology like Julia's Zygote:

https://github.com/FluxML/Zygote.jl

the efficiency of autodiff might be similar to that of an opcode anyway.

So, how did DEC do on the Alpha processor? I always heard good things about it--IIRC it was based on the VAX, but 64 bit. I learned PDP-11 assembler at RPI, during their college program for high school students in about 1984. We hand assembled code and really got to know the architecture.

and make that computable. It seems like line 88 --> 90 of this file in Zygote does that: https://github.com/FluxML/Zygote.jl/blob/master/src/compiler/chainrules.jl

It's super powerful

For example Zygote.jl (https://github.com/FluxML/Zygote.jl) implements reverse mode automatic differentiation, by defining a function that is a generated transformation of the function being differentiated.