On a hand-built multiclass benchmark, (1+1)-ENAS with one-bit or bit-wise mutation finds an optimal architecture in O(rM ln(rM)) expected generations, with lower bound Omega(rM ln M), so the two mutations have nearly equal runtime.
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Runtime Analysis of Evolutionary NAS for Multiclass Classification
On a hand-built multiclass benchmark, (1+1)-ENAS with one-bit or bit-wise mutation finds an optimal architecture in O(rM ln(rM)) expected generations, with lower bound Omega(rM ln M), so the two mutations have nearly equal runtime.