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Can I run Qwen2.5-3B-Instruct on a Radeon RX 7900 XTX?

Yes

Its published weights (6.17 GB) fit in the 21.6 GB a Radeon RX 7900 XTX can use, with room for ≈ 32K tokens of context.

Full analysis of Qwen2.5-3B-Instruct Everything that runs on Radeon RX 7900 XTX Get the weights on Hugging Face
hf download Qwen/Qwen2.5-3B-Instruct

Files and context on Radeon RX 7900 XTX

Each file of Qwen2.5-3B-Instruct (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 published6.17 GBFits32K32K
4-bit (estimate)1.74 GBFits32K32K

Qwen2.5-3B-Instruct 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.