> I'm expecting LLMs with hundreds of billions and eventually trillions of parameters will be able to run locally on my laptop and mobile phone, in the not-too-distant future
Perhaps. There's been a lot of focus on training-compute optimal models in the industry. Rightfully so, as proofs of concept. That's what led to this perceived parameter count race in published models.
But remember the other side of the scaling laws. For inference, which is what we want to do on our phones, it's better to be inference-compute optimal. That means smaller models trained for longer.
As far as we know today there are no limits of the scaling laws. A 1B parameter model _can_ beat a 1T parameter model, if trained for long enough. Of course it's exponential, so you'd have to pour incalculable training resources into such an extreme example. But I find these extreme examples elucidating.
My pet theory these days is that we'll discover some way of "simulating" multiple parameters from one stored parameter. We know that training-compute optimal models are extremely over-parameterized. So it isn't the raw capacity of the model that's important. It seems like during training the degrees of freedom is what allows larger models to be more sample efficient. If we can find a cheap way of having one parameter simulate multiple degrees of freedom, it will likely give us the ability to gain the advantages of larger models during training, without the inference costs later.
I don't disagree that we're likely to see more and more parameter capacity from our devices. I'm just pointing out that the parameter count race is a bit of an illusion. OpenAI discovered the scaling laws and needed a proof of concept. If they could show AI reaching X threshold first, they could capture the market. The fastest way to do that is to be training-compute optimal. So they had to scale to 175B parameters or more. Now that it's proven, and that there's a market for such an AI, their and other's focus can be on inference-optimal models which are smaller but just as smart.