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Can I run distilgpt2 on an RTX 4090?

Yes

Its published weights (353 MB) fit in the 21.6 GB an RTX 4090 can use, with room for ≈ 1K tokens of context.

Full analysis of distilgpt2 Everything that runs on RTX 4090 Get the weights on Hugging Face
hf download distilbert/distilgpt2

Files and context on RTX 4090

Each file of distilgpt2 (and of GGUF versions the site has analyzed), and how much context fits next to it, with the context cache in 16-bit or 8-bit.

FileSizeOn RTX 4090 Context (16-bit)Context (8-bit)
As published353 MBFits1K1K
4-bit (estimate)49.6 MBFits1K1K

distilgpt2 on other hardware

Popular models that run on RTX 4090

Assumes 90% of the card's memory is usable and at least 4K tokens of context for one conversation, with the context cache in 16-bit unless noted. Fits leaves at least 20% of that memory for context; Tight leaves less.