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GPT-4 cannot alter its weights once it has been trained so this is just factually wrong.
LLMs are really cool and very useful, don't get me wrong. But people get excited by what they seem to do and lose sight of what they actually can do. They are not intelligent. They create text based on inputs. That is not what intelligence is, unless you have an extremely dismal view of intelligence that humans are text creation machines with no thoughts, no feelings, no desires, no ability to plan... basically, no internal world at all.
An LLM is an algorithm, not an intelligence.
Define intelligence. Your last line is kind of absurd. Why can't intelligence be described by an algorithm?
LLMs do not think or feel or have internal states. With the same random seed and the same input, GPT4 will generate exactly the same output every time. Its speech is the result of a calculation, not of intelligence or self-direction. So, even if intelligence can be described by an algorithm, LLMs are not that algorithm.
For the record, GPT4 specifically is non-deterministic. The current theory is because it uses MoE, but that's just a theory. Maybe OpenAI knows why. Also, it's not a random seed, it's temperature. If you set that to 0, the model should always select the most probable next token because the probability becomes 1 for that token and 0 for all others. GPT3 and most others are basically deterministic at that level, but not GPT4.