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.eyJpc3MiOiJnaXRodWIuY29tIiwiYXVkIjoicmF3LmdpdGh1YnVzZXJjb250ZW50LmNvbSIsImtleSI6ImtleTUiLCJleHAiOjE3MzkzNDM3NzUsIm5iZiI6MTczOTM0MzQ3NSwicGF0aCI6Ii81NTYyNTQ3MS8zNzgwNjE1NDMtNzdlYjE2MjgtOGZiMy00NDYxLWJiZTAtMTk0MzE2Njk5OGRiLnBuZz9YLUFtei1BbGdvcml0aG09QVdTNC1ITUFDLVNIQTI1NiZYLUFtei1DcmVkZW50aWFsPUFLSUFWQ09EWUxTQTUzUFFLNFpBJTJGMjAyNTAyMTIlMkZ1cy1lYXN0LTElMkZzMyUyRmF3czRfcmVxdWVzdCZYLUFtei1EYXRlPTIwMjUwMjEyVDA2NTc1NVomWC1BbXotRXhwaXJlcz0zMDAmWC1BbXotU2lnbmF0dXJlPWQxMWNkNTM0MWZlZmFkNTkwN2NhN2JhYzBjMjI0YzEyNTI4OTkxOTUzOTZmNjVlNjQ1NjNkZmZlOTRlYWJiYmUmWC1BbXotU2lnbmVkSGVhZGVycz1ob3N0In0.6IpcgMsaKyls7sdoX8eRl0WKtx7ZbQ9zDBB1egf1KgE)
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.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.m6HGTbqmK8zcPLFmZgaQcJ8789zK39nP6p7j7MsTl9I)
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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.v_bNQoKmvLLwVAT5Pzui_FDMFTuSkN5qwYZaJcE0a8w)
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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.itioCLxV47CwXRE4JXnmBmmJ9nbLDJ8TLUslH2Xwa5M)
To do:
- (Tentative) Replicate the sections on feature geometry and computation in superposition.