Open ccoffrin opened 2 years ago
In the following example,
ising_model = Dict((1,) => 0.1, (1,2) => 1.0, (2,3) => 1.0, (1,3) => 1.0) ρ = simulate(ising_model, 100000.0, AS_CIRCULAR)
The simulation error measures oscillate around iterations 14-16. Explore the source of this oscillation and possible remediations.
iter | steps | max(Δ) | mean(Δ) | 1 | 4 | 4.502655e-01 | 1.083205e-01 | 2 | 8 | 4.603277e-01 | 1.127451e-01 | 3 | 16 | 6.024473e-01 | 1.320019e-01 | 4 | 32 | 4.584239e-01 | 1.469889e-01 | 5 | 64 | 4.222019e-01 | 1.399790e-01 | 6 | 128 | 4.129427e-01 | 1.466072e-01 | 7 | 256 | 3.346978e-01 | 1.003363e-01 | 8 | 512 | 2.988492e-01 | 8.330287e-02 | 9 | 1024 | 4.245753e-01 | 5.609475e-02 | 10 | 2048 | 4.930871e-02 | 7.461533e-03 | 11 | 4096 | 2.140870e-02 | 2.305103e-03 | 12 | 8192 | 1.638600e-02 | 3.403855e-03 | 13 | 16384 | 1.771054e-03 | 5.473394e-04 | 14 | 32768 | 1.336050e-03 | 2.601251e-04 | 15 | 65536 | 3.374804e-04 | 4.292236e-05 | 16 | 131072 | 3.476103e-03 | 2.662018e-04 | 17 | 262144 | 1.697244e-07 | 1.931474e-08 | converged iterations........: 17 simulation steps..: 262144 maximum difference: 1.697244e-07 <= 1.000000e-04 mean difference...: 1.931474e-08 <= 1.000000e-06 runtime (seconds).: 22.523099
Tested with Julia v1.7.2, QA v0.1.0
In the following example,
The simulation error measures oscillate around iterations 14-16. Explore the source of this oscillation and possible remediations.
Tested with Julia v1.7.2, QA v0.1.0