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The model is natively quantized (i.e. it was trained that way in the first place, so this is not a post-training quantization which degrades performance).
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Isn't it not completely quantized? I thought there were some dense parts but most is int4?
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But the huggingface link mentions BF16, F16, and I32?
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Not every weight is quantized. For example, those weights which don't take much space or are highly important are left in higher precision. State-of-art quantization of weights is never done uniformly (i.e. to all weights and in the same way).
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I don't believe safetensors has a native int4 dtype, so they packed 4 int4s into a bf16 in this checkpoint.
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