Step Size Comparison: Optimal vs. Conservative
This experiment compares three step size strategies for asynchronous sheaf diffusion on a 4-regular graph with semi-orthogonal restriction maps:
- Synchronous $1/K$: the optimal synchronous step size, applied to the synchronous gradient descent baseline.
- Asynchronous $1/K$: the synchronous-optimal step size applied to the asynchronous algorithm (ignoring delay). Converges in practice for moderate $B$.
- Conservative $0.1/K$: a smaller step that is provably safe even with large delay, at the cost of slower convergence.
Data source: Pre-generated by docs/scripts/acc26_experiments.jl. To regenerate the data and re-render the figure, run:
julia --project=docs docs/scripts/acc26_experiments.jl
julia --project=docs docs/scripts/generate_figures.jl