• For this market a large language model is a language model trained using an amount of compute that is within an order of magnitude of the compute used to train the largest language model

• It is not just based on parameter count.

• I'll accept starting with an pretrained model and then doing additional training/finetuning as long as the amount of compute for the latter component is large enough.

By publically I just mean that it's well known that they trained the model. If, say, the Chinese government almost certainly has one but it's not definitely confirmed then that doesn't count.