People are always making little analogies, e.g., calling the sensors on Waymo a 'hat' for the car. Sometimes these analogies form mental models that we use: many things are compared to the human body with a 'head', 'hands', and a 'heart'. Can we find counterintuitive maps like this that aren't in current usage, but which models use because compressing two concepts together helps the model reason?
If you are inspired by this idea, you can reach out to the authors for collaboration or cite it:
@misc{holtzman-unexpected-partial-isomorphisms-2026,
author = {Holtzman, Ari},
title = {Unexpected Partial Isomorphisms},
year = {2026},
url = {https://hypogenic.ai/ideahub/idea/1booKo7tMQixdJWYxdKV}
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