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Can I run S5-nano on a Radeon RX 9070 XT?

Yes

Its published weights (9.32 GB) fit in the 14.4 GB a Radeon RX 9070 XT can use, with room for ≈ 150K tokens of context.

Full analysis of S5-nano Everything that runs on Radeon RX 9070 XT Get the weights on Hugging Face
hf download maritaca-ai/S5-nano

Files and context on Radeon RX 9070 XT

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 Radeon RX 9070 XT Context (16-bit)Context (8-bit)
As published9.32 GBFits150K256K
4-bit (estimate)2.62 GBFits256K256K

S5-nano on other hardware

Popular models that run on Radeon RX 9070 XT

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.