Elon Musk's X replaced its DMs with Chat, which is end-to-end encrypted but not by default. Users must set up a private-public key pair when they first use the feature and X says it uses "a combination of strong cryptographic schemes to encrypt every single message, link, and reaction that are part of an encrypted conversation before they leave the sender’s device and remain encrypted while stored on X's infrastructure. Once messages are received by the recipient devices, they are decrypted so that they can be read by the user." It's not watertight though.
Now consider the consequences of a sycophantic AI that generates responses by sampling examples consistent with the user’s hypothesis: d1∼p(d|h∗)d_{1}\sim p(d|h^{*}) rather than from the true data-generating process, d1∼p(d|true process)d_{1}\sim p(d|\text{true process}). The user, unaware of this bias, treats d1d_{1} as independent evidence and performs a standard Bayesian update, p(h|d1,d0)∝p(d1|h)p(h|d0)p(h|d_{1},d_{0})\propto p(d_{1}|h)p(h|d_{0}). But this update is circular. Because d1d_{1} was sampled conditional on hh, the user is updating their belief in hh based on data that was generated assuming hh was true. To see this, we can ask what the posterior distribution would be after this additional observation, averaging over the selected hypothesis h∗h^{*} and the particular piece of data generated from p(d1|h∗)p(d_{1}|h^{*}). We have，推荐阅读体育直播获取更多信息
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