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Coarsening Optimization for Differentiable Programming

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name:Irene Dea
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Paper presents coarsening optimization that raises segments to symbolic level, applies differentiation and lowers optimized code, and reports several-times to over 100× speedups on real-world apps. It builds a compiler pass that combines algorithmic and symbolic AD, introduces phi-calculus to symbolically differentiate loops and branches without expression swell, and adds reuse-centric SOI identification to balance reuse versus coarsening. Implementation generates lowered source and empirical results show much lower allocations and large runtime reductions.

AI-written summary · about

  1. 0:00Introduction
  2. 0:15What is Differentiable Programming
  3. 2:30Algorithmic Differentiation
  4. 3:28Symbolic Differentiation
  5. 5:13Challenges
  6. 5:24Control flows
  7. 5:46Fair calculus
  8. 6:06SSA
  9. 7:25Loops
  10. 8:07Formulas
  11. 10:55Loop Example
  12. 11:46ReuseAware SOI Identification
  13. 12:21Benchmarks
  14. 14:12Conclusion
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