Yes — with 8.7 GB to spare

Mistral 7B Instruct v0.3 at Q4_K_M fits your GeForce RTX 4070 Ti Super entirely on the GPU at 8K context, at an estimated 100 tokens per second. There is room for its full 32K window.

Fully on GPU 8K context Q4_K_M · 4.1 GB Apache 2.0 Released May 2024

Old but extremely well behaved, and permissively licensed for commercial use.

What hardware do I need for Mistral 7B Instruct v0.3? →

The VRAM budget

weights 4.1 GB
Weights 4.1 GB KV cache @ 8K 1.00 GB Runtime overhead 0.6 GB Free 8.7 GB of 14.4 GB

Quantisation ladder

QuantWeightsTotal @ 8KMax contextTok/sQualityFit
F16 13.5 GB 15.1 GB 2K ~20 Reference 0.7 GB over
Q8_0 7.2 GB 8.8 GB 32K 57 −0.1% ppl Long context
Q6_K 5.5 GB 7.1 GB 32K 73 −0.4% ppl Long context
Q5_K_M 4.8 GB 6.4 GB 32K 85 −0.8% ppl Long context
Q4_K_M 4.1 GB 5.7 GB 32K 100 −1.9% ppl Recommended
Q3_K_M 3.3 GB 4.9 GB 32K 123 −5.4% ppl Long context
Q2_K 2.8 GB 4.4 GB 32K 144 −15% ppl Long context

Quality is the published perplexity delta against f16 weights. Max context assumes an f16 KV cache; q8_0 roughly doubles it.

How to run it

terminal
$ ollama pull mistral:7b
$ OLLAMA_CONTEXT_LENGTH=8192 \
    ollama run mistral:7b

The default. One binary, a model registry, an OpenAI-compatible port. More on Ollama.

01Download is 4.1 GB. Keep it on an SSD — a first load off a spinning disk takes minutes.
02Close anything else holding VRAM. A browser with hardware acceleration can sit on 1–2 GB.
03There is room to go to the model's full 32K context on this card.
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