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Can I run NV-Reason-CT on a Radeon RX 9070 XT?

Yes

Its published weights (10.6 GB) fit in the 14.4 GB a Radeon RX 9070 XT can use, with room for ≈ 110K tokens of context.

Full analysis of NV-Reason-CT Everything that runs on Radeon RX 9070 XT Get the weights on Hugging Face
hf download nvidia/NV-Reason-CT

Files and context on Radeon RX 9070 XT

Each file of NV-Reason-CT (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 published10.6 GBFits110K221K
4-bit (estimate)2.99 GBFits256K256K

NV-Reason-CT 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.