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Can I run Spark-X2.5-4B on an RTX 5070?

Yes

Its published weights (8.22 GB) fit in the 10.8 GB an RTX 5070 can use, with room for ≈ 67K tokens of context.

Full analysis of Spark-X2.5-4B Everything that runs on RTX 5070 Get the weights on Hugging Face
hf download XHToken/Spark-X2.5-4B

Files and context on RTX 5070

Each file of Spark-X2.5-4B (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 published8.22 GBFits67K135K
Spark-X2.5-4BXHToken/Spark-X2.5-4B-GGUF8.23 GBFits67K135K
Q8_0XHToken/Spark-X2.5-4B-GGUF4.38 GBFits169K339K
Q4_K_MXHToken/Spark-X2.5-4B-GGUF2.60 GBFits216K433K

Spark-X2.5-4B 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.