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Can I run gpt2 on an NVIDIA H100?

Yes

Its published weights (548 MB) fit in the 72.0 GB an NVIDIA H100 can use, with room for ≈ 1K tokens of context.

Full analysis of gpt2 Everything that runs on NVIDIA H100 Get the weights on Hugging Face
hf download openai-community/gpt2

Files and context on NVIDIA H100

Each file of gpt2 (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 NVIDIA H100 Context (16-bit)Context (8-bit)
As published548 MBFits1K1K
4-bit (estimate)77.1 MBFits1K1K

gpt2 on other hardware

Popular models that run on NVIDIA H100

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.