# Tag Info

1 vote

### Why do Denoising Diffusion Probabilistic Models (DDPM) add noise according to $\sigma_t$ during sampling?

I also searched long for an answer to this question but managed to convince myself that this is similar to the StyleGAN model. In StyleGAN, we also sample from a Gaussian distribution (just as we do ...
Accepted

### Complementary events and conditioning

The conditional probability that you don't have red hair, given that you are male, is more than $0.9.$ The conditional probability that you don't have red hair, give that you are not male, is more ...
Accepted

### Complementary events and conditioning

All you need is just one counterexample. Consider $\Omega = \{1, 2, 3\}$ with $P(\{1\}) = P(\{2\}) = P(\{3\}) = \frac{1}{3}$, $A = \{1, 2\}, B = \{2, 3\}$, then \begin{align} & P(A|B) = \frac{P(\{...
### How does one calculate $\text{Var}(E[Y|X])$? and other related quantities
When you specify the conditional expectation (or other moment) of a random variable $Y$ given a specific value of the conditioning variable $X=x$, the result is a function of the argument $x$. In ...
The issue with the question is that the expression$$\mathbb E[\theta_1|x]$$is not well-defined: either $(\theta_1,\theta_2)$ is considered a random vector with joint prior $\pi(\theta_1,\theta_2)$, ...