# Questions tagged [diffusion]

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### What is the exact role of model $p_\theta$ in Diffusion models for the reverse process?

I'm reading this interesting blog post explaining Diffusion probabilistic models and trying to understand the following. In order to compute the reverse process, we need to consider the posterior ...
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### Why the intermediate steps of a diffusion model (q(xt|xt-1)) can be considered as a Conditional Gaussian Distribution?

I have a similar doubt to this question: Why can de-noising diffusion models be sampled with Gaussian distributions? As asked in the original question, when we start from xo (the original image) and ...
1 vote
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### Understanding why volatility in diffusion process $(X_t)_{t \in[0,T]}$ is identifiable/known for continuous observations, but the drift is not?

Why is it that when dealing with continuous time observations of a diffusion process $(X_t)_{t \in[0,T]}$, we say that the volatility $\sigma^2$ is "perfectly identifiable" and just usually ...
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### Sampling from a Poisson Process

I am trying to simulate a one dimension correlated random walk. In this algorithm, the direction of a particle’s next step is correlated with the direction of it’s previous step. The particle’s step ...
1 vote
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### Diffusion coefficient from double-normal probability density function

The spread of individuals of species is often described by so-called dispersal kernels. The main parameter of spread is then often the variance defined as the average squared movement distance of a ...
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### What is tantile regression?

My question follows on this discussion of medials and tantiles vs medians and quantiles from earlier this year: When would we use tantiles and the medial, rather than quantiles and the median? As ...
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### Probability distribution of the magnitude of a circular bivariate random variable?

I'm very new to this topic. I have a distribution similar to the picture below but with the center at zero. As I said, I'm very new to this, but if I understand correctly, if there was no hole in ...
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