Uniform Cost Search Algorithm from Russell&Norvig Artificial Intelligence Book

On page 84 of Russell&Norvig’s Artificial Intelligence Book, 3rd Ed., the algorithm for uniform cost search is given. I provided a screenshot of it here for your convenience. I am having trouble understanding the highlighted line if child.STATE is not in explored **or** frontier then Shouldn’t that be if child.STATE is not in explored **and**…

Uniform Cost Search Algorithm from Russell&Norvig Artificial Intelligence Book

On page 84 of Russell&Norvig’s Artificial Intelligence Book, 3rd Ed., the algorithm for uniform cost search is given. I provided a screenshot of it here for your convenience. I am having trouble understanding the highlighted line if child.STATE is not in explored **or** frontier then Shouldn’t that be if child.STATE is not in explored **and**…

Why does $logp_{\theta}(x^1,…,x^N)=D_{KL}(q_{\theta}(z|x^i)||p_{\phi}(z|x^i)+\mathbb{L}(\phi,\theta;x^i)$?

Why does $logp_{\theta}(x^1,…,x^N)=D_{KL}(q_{\theta}(z|x^i)||p_{\phi}(z|x^i)+\mathbb{L}(\phi,\theta;x^i)$ Where $x^i$ are data points and $z$ are latent variables I was reading the original variation autoencoder paper and I don’t understand how the marginal is equal to the RHS equation. How does the marginal equal the KL divergence of $p$ with it’s approximate distribution plus the variational lower bound. Also just…