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Can I run K2-Horizon-3.7B on a Radeon RX 7900 XTX?

Yes

Its published weights (10.1 GB) fit in the 21.6 GB a Radeon RX 7900 XTX can use, with room for ≈ 76K tokens of context.

Full analysis of K2-Horizon-3.7B Everything that runs on Radeon RX 7900 XTX Get the weights on Hugging Face
hf download IFM/K2-Horizon-3.7B

Files and context on Radeon RX 7900 XTX

Each file of K2-Horizon-3.7B (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 7900 XTX Context (16-bit)Context (8-bit)
As published10.1 GBFits76K152K
4-bit (estimate)2.85 GBFits124K248K

K2-Horizon-3.7B on other hardware

Popular models that run on Radeon RX 7900 XTX

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.