Donald Trump has laid out four goals in Iran and said the US campaign had been projected to last four to five weeks but could “go far longer than that”.
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.,更多细节参见heLLoword翻译官方下载
,这一点在91视频中也有详细论述
Отвергнутый влюбленный поджег себя14:50。关于这个话题,体育直播提供了深入分析
Москвичи пожаловались на зловонную квартиру-свалку с телами животных и тараканами18:04
岁月悄然播迁,孩子逐渐长大。少年的一腔热忱,后来也遭遇到困惑、挫折乃至苦楚。有一年春节因为遭遇一些事情,心情郁悒,我没有回家,一个人窝在珠海凤凰山的一个角落写东西。等闭关出来,已经快到元宵节了。有位在韶关工作的师兄约我去他家过节。晚上我们在宾馆促膝夜谈。两个渐近中年的男人决定出门走走。走在街上也无话,不记得有月亮,留下的记忆是“悄立市桥人不识,一星如月看多时”的况味。