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Quantization Aware Training + FeatherMap

If I wanted to use Quantization Aware Training (QAT) in conjunction with structured hashing, should I quantize before or after FeatherMap?

i.e, (before, intuitively seems correct to me):

# model has appropriate torch.quantization.DeQuantStub()
model = ResNet50()

model.train()
model.qconfig = torch.quantization.get_default_qat_qconfig('fbgemm')
model_fp32_prepared = torch.quantization.prepare_qat(model_fp32)

# feather map stuff
model_fp32_prepared = FeatherNet(model_fp32_prepared, compress=0.10)

# train loop

# eval stuff
model_fp32_prepared.eval()
model_int8 = torch.quantization.convert(model_fp32_prepared)
model_int8.deploy()

To be specific, I'm interested in the low-rank decomposition being INT8.

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