Южная Корея начала переговоры с США о перемещении вооружений из-за Ирана08:42
Consider a Bayesian agent attempting to discover a pattern in the world. Upon observing initial data d0d_{0}, they form a posterior distribution p(h|d0)p(h|d_{0}) and sample a hypothesis h∗h^{*} from this distribution. They then interact with a chatbot, sharing their belief h∗h^{*} in the hopes of obtaining further evidence. An unbiased chatbot would ignore h∗h^{*} and generate subsequent data from the true data-generating process, d1∼p(d|true process)d_{1}\sim p(d|\text{true process}). The Bayesian agent then updates their belief via p(h|d0,d1)∝p(d1|h)p(h|d0)p(h|d_{0},d_{1})\propto p(d_{1}|h)p(h|d_{0}). As this process continues, the Bayesian agent will get closer to the truth. After nn interactions, the beliefs of the agent are p(h|d0,…dn)∝p(h|d0)∏i=1np(di|h)p(h|d_{0},\ldots d_{n})\propto p(h|d_{0})\prod_{i=1}^{n}p(d_{i}|h) for di∼p(d|true process)d_{i}\sim p(d|\text{true process}). Taking the logarithm of the right hand side, this becomes logp(h|d0)+∑i=1nlogp(di|h)\log p(h|d_{0})+\sum_{i=1}^{n}\log p(d_{i}|h). Since the data did_{i} are drawn from p(d|true process)p(d|\text{true process}), ∑i=1nlogp(di|h)\sum_{i=1}^{n}\log p(d_{i}|h) is a Monte Carlo approximation of n∫dp(d|true process)logp(d|h)n\int_{d}p(d|\text{true process})\log p(d|h), which is nn times the negative cross-entropy of p(d|true process)p(d|\text{true process}) and p(d|h)p(d|h). As nn becomes large the sum of log likelihoods will approach this value, meaning that the Bayesian agent will favor the hypothesis that has lowest cross-entropy with the truth. If there is an hh that matches the true process, that minimizes the cross-entropy and p(h|d0,…,dn)p(h|d_{0},\ldots,d_{n}) will converge to 1 for that hypothesis and 0 for all other hypotheses.，这一点在纸飞机下载中也有详细论述
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2024年4月，刘成的孩子在重庆渝北区某家医院出生。代孕机构告知“出生证要三周后才能办”。5月5日，这家医院遭到举报，孩子的《出生医学证明》就此没了着落。
Google Recorder: If you record interviews, meetings, calls, or anything else, you'll love the Google Recorder app. It's exclusive to Pixels, and it offers real-time transcription so you don't need to take notes. You can open these notes in a Google Doc to edit them later or tap on a word to jump to the point it was spoken in the recording. Google has added speaker labels so the transcription will try to detect when different people are talking and indicate as such. Recordings can be shared with anyone, even if they don't have a Pixel. Better yet, you can automatically back these up to your Google Account to access them anywhere (or find them here). You can also summarize (and download) these transcripts with Gemini. Google recently added the ability to add music tracks, too, in case you like using the app to record singing.。谷歌浏览器下载对此有专业解读