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An engineer is deploying a large autoregressive model for a chatbot. They observe that as a conversation with a user gets longer, the model's memory consumption increases steadily, eventually leading to performance issues. This is because the model stores key and value vectors for every token in the conversation history to speed up the generation of the next token. Based on this mechanism, what is the fundamental relationship between the length of the conversation history (in tokens) and the amount of memory required for this storage?

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Updated 2025-09-28

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