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Towards a Linear-Algebraic Hypervisor

Talkat ARRAY 2026 · on Tuesday, 2026-06-16
slides:none on file

Describes a linear-algebraic hypervisor that compiles a tiny array language into a branch-free multilinear transition operator and executes thousands to millions of tiny virtual machines on GPU threads. The pipeline samples syntactic programs, compiles to fixed-word polynomials, dispatches VMs in chunks, and measures wall-clock throughput, reporting speedups up to 147× relative to serial evaluation across sampled programs and typical halting within <100 steps for the majority.

AI-written summary · about

  1. 0:00Introduction
  2. 1:27Research motivation
  3. 3:33CPU model with polynomials
  4. 6:43Virtual machine design
  5. 9:14Compiling array language
  6. 12:26GPU parallel execution
  7. 13:50Experimental results
  8. 15:13Synthesis pipeline
  9. 17:42Summary
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