If by "large", you mean models with a higher amount of parameters, then I'm sorry to disappoint you.... it doesn't seem that likely for it to be possible to host them on an "average computer". At least not in the next five years. As of March 2023, the average computer around the world is the smartphone. The graphics processing on many high end computers would be inadequate to run large models. We would need radical advancements in GPUs to run something like GPT-3 on a high end consumer computer, let alone a smartphone. Such advancements in GPUs seems to be highly unlikely in the next 5 years at least, simply because the laws of physics are preventing us from manufacturing faster chips. I can tell you more about this if you are interested.  

However, what is looking to be possible is making lower parameter models much more capable. Again, as of today, that is March 2023, a lot of research in this field shows that models with lower parameters can be fine tuned to be extremely capable. However, it is too soon to tell whether these models would be equivalent to Gpt-3 or not. There is hope however. 

These smaller parameter models also can be run on higher end consumer hardware. We have seen this trend with other machine learning models like Stable Diffusion, where capable models could be run on relatively lower end hardware over time due to further fine tuning. It is quite likely that this trend would apply to languages models too! Only time will tell!
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