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Wethen define asurrogatelossLtoy(~P RD)foranetworkconfigurationP inthisweight11 space, which we choose to depend monotonically on theL2 distance to the nearestn-wedge. Together, these21 define locally ann-dimensional hyperplane of finite thickness in the remainingD nthin direction, i.e. acuboid.22 To go beyond classification, we also looked at CNN-based31 autoencoders. In all cases the results supported our landscape model and we will include them in the final version.32 R5: Radial tunnels = what low-dimensional cuts would show.