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We provided a mathematical analysis of how a rational agent would respond to data generated by a sycophantic AI that samples examples from the distribution implied by the user’s hypothesis (p(d|h∗)p(d|h^{*})) rather than the true distribution of the world (p(d|true process)p(d|\text{true process})). This analysis showed that such an agent would be likely to become increasingly confident in an incorrect hypothesis. We tested this prediction through people’s interactions with LLM chatbots and found that default, unmodified chatbots (our Default GPT condition) behave indistinguishably from chatbots explicitly prompted to provide confirmatory evidence (our Rule Confirming condition). Both suppressed rule discovery and inflated confidence. These results support our model, and the fact that default models matched an explicitly confirmatory strategy suggests that this probabilistic framework offers a useful model for understanding their behavior.，详情可参考快连下载-Letsvpn下载
二是要强化企业科技创新的主体地位。要加快培育壮大科技领军企业，要把更多的创新资源向企业集聚，要支持企业主导产学研融通创新，要支持企业牵头组建创新联合体，来承接更多的攻关任务。要进一步提高研发费用加计扣除的比例，调动企业加大科技投入。