BlueDot Puzzle Shows Classifier Hides Country Feature in Non-Linear Encoding
Linear probes hit 0.487 AUC on country detection—MLP recovers to 0.987.
Deep Dive
Key Points
- Seven of eight binary features are linearly encoded (AUC >0.995) in the 64-dim hidden layer.
- Country feature collapses to 0.487 AUC with linear probe, but MLP recovers to 0.987—a 0.500 gap.
- The non-linear encoding uses projection magnitude (distance), not sign, to store the country label.
Why It Matters
Linear probes, a standard interpretability tool, can completely miss non-linear feature encodings, leading to blind spots in safety analysis.