luca
@fahrenheit
ML researcher, interested in math and probabilistic machine reasoning.
luca
moments are important theoretically because they provide an alternative way to fully and uniquely specify a probability distribution, a fact that is intuitive if you understand how moment’s quantify a distribution’s location, spread, and shape
Understanding Moments
This is so good.
Linear algebra usually has two sides to explore: the algebraic interpretation and the geometric intuition. Usually the latter is much more useful to get a feel for things.
your life is your life
don’t let it be clubbed into dank submission.
be on the watch.
there are ways out.
there is light somewhere.
it may not be much light but
it beats the darkness.
be on the watch.
the gods will offer you chances.
know them.
take them.
you can’t beat death but
you can beat death in life, sometimes.
and the more often you
... See moreThe glow in the centre of the k-space image represents the lower spatial frequencies, which contains the bulk of the image contrast information. As we move away from this central glow, the finer details and edges, representing the higher spatial frequencies
Nadav Levi • Visualising MRI data in Python
However, there’s a third way to think about the first moment, and it’s the one that I think is most useful for understanding moments generally: the first moment tells us how far away from the origin the center of mass is. I like this interpretation because it is analogous to a moment arm in mechanics, which is the length of an arm between an axis... See more