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Can I run Phi-3.5-vision-instruct on an RTX 5060 Ti 16 GB?

Yes

Its published weights (8.29 GB) fit in the 14.4 GB an RTX 5060 Ti 16 GB can use, with room for ≈ 15K tokens of context.

Full analysis of Phi-3.5-vision-instruct Everything that runs on RTX 5060 Ti 16 GB Get the weights on Hugging Face
hf download microsoft/Phi-3.5-vision-instruct

Files and context on RTX 5060 Ti 16 GB

Each file of Phi-3.5-vision-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 RTX 5060 Ti 16 GB Context (16-bit)Context (8-bit)
As published8.29 GBFits15K30K
4-bit (estimate)2.33 GBFits30K60K

Phi-3.5-vision-instruct on other hardware

Popular models that run on RTX 5060 Ti 16 GB

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.