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Can I run S5-nano on an RTX 3060 12 GB?

Yes, just

Its published weights (9.32 GB) fit in the 10.8 GB an RTX 3060 12 GB can use, with room for ≈ 43K tokens of context.

Full analysis of S5-nano Everything that runs on RTX 3060 12 GB Get the weights on Hugging Face
hf download maritaca-ai/S5-nano

Files and context on RTX 3060 12 GB

Each file of S5-nano (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 3060 12 GB Context (16-bit)Context (8-bit)
As published9.32 GBTight43K85K
4-bit (estimate)2.62 GBFits242K256K

S5-nano on other hardware

Popular models that run on RTX 3060 12 GB

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.