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Using select! with owned futures is usually fine,​We saw an exception above: stream.next() returned a future, but
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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.
Powered by the new M5 chip, Apple’s latest MacBook Airs are more powerful than ever with double the base storage (512GB), but they also cost $100 more than their predecessor. Fortunately, though, we’ve found a few ways to save. Best Buy is offering the new 13-inch M5-powered MacBook Air for $1,099 with a $50 gift card and the 15-inch for $1,299 with the same perk ahead of their March 11th release date. That said, if you’d rather spend less and don’t mind buying last year’s model, Amazon’s also selling the 15-inch M4 MacBook Air with 512GB of storage and 16GB of RAM for an all-time low of $1,099, matching the price of the new 13-inch Air.
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Фото: Влад Некрасов / Коммерсантъ,这一点在搜狗输入法中也有详细论述
整治形式主义为基层减负,习近平总书记始终挂在心头:主持中共中央政治局民主生活会,会议多次听取专题报告;主持中共中央政治局会议,会议审议《整治形式主义为基层减负若干规定》……