This is a replication of the Anthropic paper "Toy Models of Superposition" by Elhage et al. (2022). Best viewed on Colab:
Here's my plot:
![My plot demonstrating superposition](https://private-user-images.githubusercontent.com/55625471/378061543-77eb1628-8fb3-4461-bbe0-1943166998db.png?jwt=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.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.P5auQsb6-_CVaeqGqamKVOk2kyWlUdzZs1MhqftMG7c)
Here's Anthropic's plot:
![Anthropic's plot demonstrating superposition](https://private-user-images.githubusercontent.com/55625471/378061661-99d7573e-e8a7-41a1-8bfa-31c8a3d2babe.png?jwt=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJnaXRodWIuY29tIiwiYXVkIjoicmF3LmdpdGh1YnVzZXJjb250ZW50LmNvbSIsImtleSI6ImtleTUiLCJleHAiOjE3MzkzNTU4OTYsIm5iZiI6MTczOTM1NTU5NiwicGF0aCI6Ii81NTYyNTQ3MS8zNzgwNjE2NjEtOTlkNzU3M2UtZThhNy00MWExLThiZmEtMzFjOGEzZDJiYWJlLnBuZz9YLUFtei1BbGdvcml0aG09QVdTNC1ITUFDLVNIQTI1NiZYLUFtei1DcmVkZW50aWFsPUFLSUFWQ09EWUxTQTUzUFFLNFpBJTJGMjAyNTAyMTIlMkZ1cy1lYXN0LTElMkZzMyUyRmF3czRfcmVxdWVzdCZYLUFtei1EYXRlPTIwMjUwMjEyVDEwMTk1NlomWC1BbXotRXhwaXJlcz0zMDAmWC1BbXotU2lnbmF0dXJlPTM3Y2NjOTI2MmQ4YzM4ODI4MmMxNDU5YzIwNTJkMjEzOTI3MDJjNDg0NzU1NTRiM2Y5OGI2Y2QwYzM4NWJmNTMmWC1BbXotU2lnbmVkSGVhZGVycz1ob3N0In0.nXyCGAb4HysEhc3RWRJ5WzMI100kLo5mwCsjxB1rh_w)
Here's my plot:
![My plot showing superposition as a phase transition](https://private-user-images.githubusercontent.com/55625471/376048202-8e9c8f17-4dd0-459a-8e65-92201c241d34.png?jwt=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.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.-1qFejaHA1Y2bZFSkQVwFk8lwZBFWvoAjcAx7h3GVzk)
Here's Anthropic's plot:
![Anthropic's plot showing superposition as a phase transition](https://private-user-images.githubusercontent.com/55625471/376048244-971bd86d-e643-4567-a4b3-8d92265328ab.png?jwt=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.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.Gc654n2_Waq9Ic4qkqMbTPliWIx83mV8jdqFfqkDF4k)
To do:
- (Tentative) Replicate the sections on feature geometry and computation in superposition.