Optimal prediction with resource constraints using the information bottleneck
Fig 9
Transferability of prediction schemes in Wright-Fisher dynamics.
We transfer a mapping, , trained on one set of parameters and apply it to another. We consider transfers between two choices of mutability, Nμ1 = 0.2 (low) and Nμ2 = 20 (high), with N = 100, Ns = 0.001, Δt = 1. The dotted line is the steady state allele frequency distribution, the solid lines are the transferred representations, and the dashed lines are the optimal solutions. The top panels correspond to the distributions of Xt and the bottom panels correspond to distributions of Xt+Δt. (a) Transfer from high to low mutability. Optimal information values:
and
; transferred information values:
and
. Representations learned on high mutation rates are not predictive in the low mutation regime. (b) Transfer from low to high mutability. Optimal information values:
and
and
. Transferred information values:
and
. Transfer in this direction yields good predictive informations.