Gaussian modeling-- all of these things have several requirements, which we have to get rid of if we're looking for unexpected stuff.
Gaussian -- the center of the Gaussian will move according to Newton's laws and the potential, if I don't go too far.
Gaussian Beverly Hills facility where we did our lunar landing he's our welding
Not a Gaussian , which is kind of narrowly distributed, but you know, if I look at kind of like large and small fluctuations
And when it's Gaussian it's somewhat tractable.
we tried isolation gaussian enclosures all kinds of stuff but ran out of
That's like your real-life Gaussian blur test.
So this is actually with the Gaussian blur test inversed to better even understand the images.
If we use something like a Gaussian mixture model and, say, pull out 10 different Gaussians and plot them in space, we start to resolve
The one parameter in the Gaussian gamma varies by a few percent, and what you see in terms of maxima and minima changes dramatically.
It's a sum of Gaussian 's multiplied by polynomials.
So another tip I have in photography is the Gaussian blur, so G-A-U-S-S-I-A-N blur.
Does anyone actually have a technical definition of Gaussian blur?
And one of the best ways to do the Gaussian blur test, especially when looking at images, is that it helps you better abstract images and better
And if we apply something like a simple Gaussian , we're not going to fit this fine-grained structure particularly well.
It's a sum of Gaussian 's.
Ehrenfest's Theorem says, if I have a Gaussian sitting in a potential and I evolve it using the Hamiltonian-- solve the Schrodinger equation for the motion of that
So from that, here I have three Gaussians and 20% variations.
But basically, all of these Gaussians are vectors in Hilbert space, right?
When it's multimodal, a mixture of Gaussians , it's actually very, very challenging.
just like if you add up a bunch of natural processes, you get a Gaussian .
Take photos that you like that you've shot or when you're analyzing other people's photos and apply a Gaussian blur.
So even one thing I like to do in Photoshop is apply the Gaussian blur filter.
There are random variables, and they'll have fluctuations in them that technically are called Gaussian random fluctuations, and that could lead to enough fine tuning
But we're not going to pick that up at all if we use a simple but easy to compute model like a Gaussian I showed earlier.
For each data point in our dataset, we drop a Gaussian on top of it.
And one of them says, well, shows him a population trend, and he shows them the Gaussian distribution.
He said, for each data point and end dimensions, I'll write a Gaussian -- a bell curve.
And if we want to query the density of the dataset at any given point-- let's say right here-- we sum up the contribution from all of the individual Gaussians