p(x) is at most . We’ve just derived the first part
3014313210http://paper.people.com.cn/rmrb/pc/content/202603/03/content_30143132.htmlhttp://paper.people.com.cn/rmrb/pad/content/202603/03/content_30143132.html11921 江山壮阔万象新
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People increasingly use large language models (LLMs) to explore ideas, gather information, and make sense of the world. In these interactions, they encounter agents that are overly agreeable. We argue that this sycophancy poses a unique epistemic risk to how individuals come to see the world: unlike hallucinations that introduce falsehoods, sycophancy distorts reality by returning responses that are biased to reinforce existing beliefs. We provide a rational analysis of this phenomenon, showing that when a Bayesian agent is provided with data that are sampled based on a current hypothesis the agent becomes increasingly confident about that hypothesis but does not make any progress towards the truth. We test this prediction using a modified Wason 2-4-6 rule discovery task where participants (N=557N=557) interacted with AI agents providing different types of feedback. Unmodified LLM behavior suppressed discovery and inflated confidence comparably to explicitly sycophantic prompting. By contrast, unbiased sampling from the true distribution yielded discovery rates five times higher. These results reveal how sycophantic AI distorts belief, manufacturing certainty where there should be doubt.
Захарова поинтересовалась возможностью посмотреть «Терминатора» в Молдавии14:59。关于这个话题，体育直播提供了深入分析
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He added that it would require something that was unusual, something that was "strikingly similar".，推荐阅读体育直播获取更多信息