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Compilers for Machine Learning

A hands-on one-semester course walks students through building a machine-learning compiler from scratch, progressing from elementwise operations to training a real LLM on GPUs. Over roughly ten weeks, students implement UOps, loop and movement ops, memory hierarchies, fast GEMMs and convolutions, then GPU kernels, tensor cores and autodiff, with the final weeks reserved for student projects. The course is structured around milestones that take the compiler from simple C output to torch-competitive CUDA/HIP code.

by read1 min views1 publishedOct 1, 2026

A hands-on one semester course where students build their own compiler from scratch, starting from elementwise programs and ending with training SOTA LLMs on GPUs.

uops · elementwise ops · symbolic · rewrites · renderer

Students become familiar with the UOp and write a compiler capable of compiling and simplifying elementwise programs. We introduce the graph structure and rewriting, and they can compile simple CPU programs to C.

loops · movement ops · reduction · rangeify

Now we introduce movement ops and loops. Without memory hierarchies, things are slow — but this compiler is now capable of compiling any model, splitting it into kernels, and compiling it to C.

memory hierarchies · upcasting · fast GEMMs · convs

Now things get fast. Still only on CPU, but we can now produce SOTA-competitive C code for GEMMs, reduces, and convs.

call · GPUs · hardware accelerators · tensor cores

Here we add kernels, GPUs, axis mappings, and tensor cores. This can produce decent torch-competitive CUDA/HIP code now.

real models · autodiff

Here we implement a real LLM + autodiff to train models.

Use your compiler to implement a paper, port it to strange hardware, mostly anything

Weeks Topics Milestone
1–2 UOps, elementwise ops, symbolic, rewrites Compile & simplify elementwise programs to C
3–4 Loops, movement ops, reduction, rangeify Compile any model to C (slow, but correct)
5–6 Memory hierarchies, upcasting, GEMMs, convs SOTA-competitive CPU code
7–8 Call, GPUs, accelerators, tensor cores Torch-competitive CUDA/HIP code
9–10 Real models, autodiff Train a real LLM
11+ Student projects Choose a project and extend your compiler
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