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Can I run K2-Horizon-7B-Uno on an RTX 5070?

Yes

Its published weights (1.40 GB) fit in the 10.8 GB an RTX 5070 can use, with room for an unknown amount of context.

Full analysis of K2-Horizon-7B-Uno Everything that runs on RTX 5070 Get the weights on Hugging Face
hf download IFM/K2-Horizon-7B-Uno

Files and context on RTX 5070

Each file of K2-Horizon-7B-Uno (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 5070 Context (16-bit)Context (8-bit)
As published1.40 GBFitsnot knownnot known
4-bit (estimate)196 MBFitsnot knownnot known

K2-Horizon-7B-Uno on other hardware

Popular models that run on RTX 5070

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.