/explore
|
You are here 
|
lucatrevisan.wordpress.com | ||
| | | | |
almostsuremath.com
|
|
| | | | | The aim of this post is to motivate the idea of representing probability spaces as states on a commutative algebra. We will consider how this abstract construction relates directly to classical probabilities. In the standard axiomatization of probability theory, due to Kolmogorov, the central construct is a probability space $latex {(\Omega,\mathcal F,{\mathbb P})}&fg=000000$. This consists... | |
| | | | |
blog.georgeshakan.com
|
|
| | | | | In this post, I talk about the mathematical foundations of PCA | |
| | | | |
stevensoojin.kim
|
|
| | | | | A survey of Poincaré inequalities appearing outside of PDE. | |
| | | | |
yang-song.net
|
|
| | | This blog post focuses on a promising new direction for generative modeling. We can learn score functions (gradients of log probability density functions) on a large number of noise-perturbed data distributions, then generate samples with Langevin-type sampling. The resulting generative models, often called score-based generative models, has several important advantages over existing model families: GAN-level sample quality without adversarial training, flexible model architectures, exact log-likelihood ... | ||
