I also found this amusing. But you are loosely correct, AFAIK. GPT-4 cannot reliably explain itself in any context: say the total number of possible distinct states of GPT-4 is N; then the total number of possible distinct states of GPT-4 PLUS any context in which GPT-4 is active must be at least N + 1. So there are at least two distinct states in this scenario that GPT-4 can encounter that will necessarily appear indistinguishable to GPT-4. It doesn't matter how big the network is; it'll still encounter this limit.
And it's actually much worse than that limit because a network that's actually useful for anything has to be trained on things besides predicting itself. Notably, this is GPT-4 trying to predict GPT-2 and struggling:
> We found over 1,000 neurons with explanations that scored at least 0.8, meaning that according to GPT-4 they account for most of the neuron’s top-activating behavior. Most of these well-explained neurons are not very interesting. However, we also found many interesting neurons that GPT-4 didn't understand. We hope as explanations improve we may be able to rapidly uncover interesting qualitative understanding of model computations.
1,000 neurons out of 307,200--and even for the highest-scoring neurons, these are still partial explanations.
There's little reason to think that predicting GPT-4 would be more difficult, only that it would be far more computationally expensive (given the higher number of neurons and much higher computational cost of every test).
I also found this amusing. But you are loosely correct, AFAIK. GPT-4 cannot reliably explain itself in any context: say the total number of possible distinct states of GPT-4 is N; then the total number of possible distinct states of GPT-4 PLUS any context in which GPT-4 is active must be at least N + 1. So there are at least two distinct states in this scenario that GPT-4 can encounter that will necessarily appear indistinguishable to GPT-4. It doesn't matter how big the network is; it'll still encounter this limit.
And it's actually much worse than that limit because a network that's actually useful for anything has to be trained on things besides predicting itself. Notably, this is GPT-4 trying to predict GPT-2 and struggling:
> We found over 1,000 neurons with explanations that scored at least 0.8, meaning that according to GPT-4 they account for most of the neuron’s top-activating behavior. Most of these well-explained neurons are not very interesting. However, we also found many interesting neurons that GPT-4 didn't understand. We hope as explanations improve we may be able to rapidly uncover interesting qualitative understanding of model computations.
1,000 neurons out of 307,200--and even for the highest-scoring neurons, these are still partial explanations.