The current gold standard for biology work-- tSNE-HDBSCAN. Gaussian modeling-- all of these things have several requirements, which we have to get rid of if we're looking for unexpected stuff. One is they need to clean the data.
you find out instead of expressing 48 chains, they only express 24. Gaussian-- the center of the Gaussian will move according to Newton's laws and the potential, if I don't go too far.
Cauchy's integral formula in complex analysis, it's a 2 pi. Gauss -Bonnet formula in differential geometry, the so-called nth roots of unity, it's a 2 pi.This is one of my favorite sums.
get them from from us and this is dr. John diamond from the Gaussian Beverly Hills facility where we did our lunar landing he's our welding expert so in our demonstration the
You wrote down some axioms, and then you proved some theorems. And Gauss suggested that Riemann do what Riemann thought was the most boring one, on the foundations of geometry.
You wrote down some axioms, and then you proved some theorems. Because Gauss knew about this non-Euclidean stuff, but he knew there was still a lot of work to do, the general problem.
I mean, I think laziness is often thought of as one of the deadly sins, but I don't think it's a sin at all. But Gauss had seen this clever way of using, oh, 100 plus 1 is 101, 99 plus 2 is 101, 98 plus 3, 101.
that has a lot of different scales, right? Not a Gaussian, which is kind of narrowly distributed, but you know, if I look at kind of like large and small fluctuations that lead to electrical noise, they have this decaying 1/x distribution.
I think it's this German guy. His name was Gauss or something. It's a certain algorithm to add a blur to your photo which looks nice.
And then , close the loop by sending the results back into the cloud. And when it's Gaussian it's somewhat tractable.
the mo the baby mode and uh which is not really really a good place to be anyway we tried isolation gaussian enclosures all kinds of stuff but ran out of money put 26 million of cash my own cash into
is like a huge growth area. You look an Ebay there's all these things that are worth hundreds of pounds is I sought this item here which looks like a hand grenade or a pepper grinder. about like well Gauss or whoever that was like he didn't abandon life to start a being
mathematician now and then deal dealt with infinity but u uh at Gaus himself had admonition all mathematicians treated infinity sort of you know threw long sticks. Okay, they never touched it. Okay, they uh
You wrote down some axioms, and then you proved some theorems. His advisor was Carl Friedrich Gauss , arguably one of the greatest mathematicians of all time.
Take off your glasses and look at the image. That's like your real-life Gaussian blur test. For those of you guys blessed with good eyes, what you could do is you could close one eye-- cover one eye and squint until you
And also you could be playing around with other people's images. So this is actually with the Gaussian blur test inversed to better even understand the images. And I just like it because in photography there's this tendency that a photograph is sacred.
Any questions so far? 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
you find out instead of expressing 48 chains, they only express 24. The one parameter in the Gaussian gamma varies by a few percent, and what you see in terms of maxima and minima changes dramatically.
you find out instead of expressing 48 chains, they only express 24. It's a sum of Gaussian's multiplied by polynomials.
OK. Well, why are we doing this? So there's this old story about Gauss . And I'm actually going to ask if anyone in here wants to tell the story about Gauss rather than me doing this.
And I'm actually going to ask if anyone in here wants to tell the story about Gauss rather than me doing this. Does anyone know this story about Gauss ? Yes! Why don't you just go right over there to the microphone, since you're right over there?
And then you should be good to go. And one of them is called a Gauss meter.
is like a huge growth area. You look an Ebay there's all these things that are worth hundreds of pounds is I sought this item here which looks like a hand grenade or a pepper grinder. If he'd been around in Gauss ' day he might have been working for Gauss making lots of money. >>male #4: Yeah, I can understand question
So and also feel free to write down notes or put notes in your phone. So another tip I have in photography is the Gaussian blur, so G-A-U-S-S-I-A-N blur. I think it's this German guy.
It's a certain algorithm to add a blur to your photo which looks nice. Does anyone actually have a technical definition of Gaussian blur? All right. So this is the tip.
make your eyes look invisible. 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 understand composition. So even one thing I like to do in Photoshop is apply the Gaussian blur filter.
Any questions so far? And if we apply something like a simple Gaussian, we're not going to fit this fine-grained structure particularly well.
I mean, how do we learn what we like? We study the theorems and we get excited by the theorems of Fermat and Gauss . So it isn't-- it's possible that the AI could learn that.
you find out instead of expressing 48 chains, they only express 24. Psi we know. It's a sum of Gaussian's.
you find out instead of expressing 48 chains, they only express 24. So from that, here I have three Gaussians and 20% variations.
you find out instead of expressing 48 chains, they only express 24. 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
you find out instead of expressing 48 chains, they only express 24. But basically, all of these Gaussians are vectors in Hilbert space, right?
And then , close the loop by sending the results back into the cloud. When it's multimodal, a mixture of Gaussians, it's actually very, very challenging.
is like a huge growth area. You look an Ebay there's all these things that are worth hundreds of pounds is I sought this item here which looks like a hand grenade or a pepper grinder. Yeah. male #4: There's this legend about Gauss that's using a human calculator to aid him do you know this ?
There's this concept called the 1/f noise and 1/x distributions where often, you know, just like if you add up a bunch of natural processes, you get a Gaussian. If you add up a bunch of kind of differently distributed natural processes, if you like take a probe
All right. So this is the tip. Take photos that you like that you've shot or when you're analyzing other people's photos and apply a Gaussian blur. Another tip what you guys could do-- so for us people who have glasses, take off your glasses.
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 understand composition. So even one thing I like to do in Photoshop is apply the Gaussian blur filter. You could change the slider however much you want.
And the amount of expansion varied from point A to point in space because quantum fields do that. 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 that you could get a universe that's smooth, but not perfectly smooth.
Any questions so far? 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.
Any questions so far? For each data point in our dataset, we drop a Gaussian on top of it.
So there's this old story about Gauss . And I'm actually going to ask if anyone in here wants to tell the story about Gauss rather than me doing this. Does anyone know this story about Gauss ?
And one of them says, well, shows him a population trend, and he shows them the Gaussian distribution.
I mean, I think laziness is often thought of as one of the deadly sins, but I don't think it's a sin at all. Because I was a lazy teenager, and my maths teacher told us this wonderful story about Carl Friedrich Gauss finding this clever way to add up
First, Alphonse Quetelet was a guy who basically had looked at the bell curve, the bell curve that came out of Carl Gauss ' work in astronomy as a way of dealing
vous prenez en compte les éléments qui étaient écartés de la moyenne, c'est-à-dire qu'auparavant, il y avait la courbe de Gauss .
Any questions so far? 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
you find out instead of expressing 48 chains, they only express 24. He said, for each data point and end dimensions, I'll write a Gaussian-- a bell curve.
is like a huge growth area. You look an Ebay there's all these things that are worth hundreds of pounds is I sought this item here which looks like a hand grenade or a pepper grinder. with numbers and one of them the most famous one was Zacharias Dase who was employed by Euler actually it was either Euler or Gauss , maybe Gauss , where he calculated Pi to 200