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Compressed and Parallelized Structured Tensor Algebra

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DASTAC generates compressed linear indexes from polyhedral structure using the Barvinok algorithm, emits affine code and parallel loops via MLIR, and adds automatic data layout compression so tensors store only needed elements. The framework produces specialized kernels that match or beat expert hand-tuned code, reporting 0.16x–44.83x single-thread and 1.37x–243.78x multi-thread speedups, and supports transparent compress/decompress paths to interoperate with dense representations.

AI-written summary · about

  1. 0:00Structured tensor algebra intro
  2. 1:51Structure encoding and inference
  3. 4:01Compressed tensor storage
  4. 6:30Parallelization and memory
  5. 7:31Performance comparisons
  6. 8:34Automatic tensor compression
  7. 9:39Takeaways and future work
  8. 10:22Q&A
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