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Can I run llava-1.5-7b-hf on an RTX 3090?

Yes

Its published weights (14.1 GB) fit in the 21.6 GB an RTX 3090 can use, with room for an unknown amount of context.

Full analysis of llava-1.5-7b-hf Everything that runs on RTX 3090 Get the weights on Hugging Face
hf download llava-hf/llava-1.5-7b-hf

Files and context on RTX 3090

Each file of llava-1.5-7b-hf (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 3090 Context (16-bit)Context (8-bit)
As published14.1 GBFitsnot knownnot known
4-bit (estimate)3.97 GBFitsnot knownnot known

llava-1.5-7b-hf on other hardware

Popular models that run on RTX 3090

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.