great video! my confusion with Importance Sampling has vanished after watching this. thank you!
@mathetal4 жыл бұрын
thank u 😊
@eceserin2 жыл бұрын
Thank you
@pierre-louistermidor71182 жыл бұрын
Thank you so much! good video, a rich explanation!
@fengzhang63764 жыл бұрын
Great demo!! Thank you!
@henpark3 жыл бұрын
Hi, I have a quick question about the video. 1. What does support mean in video's context? 2. For target and proposal distributions, we assume that we know functional forms of BOTH distributions? Can we use importance sampling using proposal distribution of our CHOICE with an abstract target distribution which maybe UNKNOWN?
@RaviShankar-de5kb2 жыл бұрын
I think Support means generally that the proposed distribution is high where the product of h(x) and pi(x) is large. This idea is mentioned in this video at the timestamp: kzbin.info/www/bejne/eWTTY6p_abd0n5o
@RaviShankar-de5kb2 жыл бұрын
Another meaning of support is an area of a function which is not mapped to 0 (en.wikipedia.org/wiki/Support_(mathematics))
@antonio-loria-xs-ucr5287 Жыл бұрын
Thanks for the video, I want to use one of your examples but giving the credit. Who do I have to cite?
@mathetal Жыл бұрын
Go for it 👍🏻👍🏻 no need to cite or you can cite the video
@孙铭阳-g4v4 жыл бұрын
this is a perfect video! I am troubling this problem in the statistical computing course! thanks!
@lexparsimoniae21074 жыл бұрын
Brilliant explanation! Thank you!
@BrothersCoffee Жыл бұрын
Nice video, thank you
@vichop08 Жыл бұрын
Gran explicación!!
@herewego80932 жыл бұрын
Very nice video, just one question, let's say we can sample infinite times, then will using importance sampling make any difference, will 3 line be the same (at 7:00)?
@maydin343 жыл бұрын
Well, I am still not quite convinced about the superiority of the imp sampling over the naive MC. Since all the calculations are strickly depends on random sampling, I found some results in naive MC which gave me better approximation comparing to the imp sampling case aftter running the same loop several times.
@piedras10663 жыл бұрын
Thank you for this video! I was wondering if this (or other technique) could be used to get samples of the target distribution from the proposed distribution where not only the moments are estimated, but the distribution itself... I would like to confront a theoretical distribution with, say, an ECDF of measured samples. But the measured samples are very difficult to obtain. Can I estimate an ECDF of my target distribution, but by sampling another (of course intrinsically related) one?
@SouravRoy-bz2mq3 жыл бұрын
Well explained
@marcoponts89424 жыл бұрын
Why is the pink function equal to exp(1)? I don't get it. Exp(1) is just = e = 2.7... and is a constant. What you are plotting is f(x) = exp(x), or am I wrong? Also, I always thought MC methods help you for integration, but you only talk about means and variance, so no integrals can be calculated with this?
@EngNourElHoudaQweder864 жыл бұрын
Exp(lambda=1)= lambda * exp (-lambda*x) , according to the pdf of exp(1)
@RaviShankar-de5kb2 жыл бұрын
Good question, Here exp() refers to the exponential distribution (en.wikipedia.org/wiki/Exponential_distribution) and not the exponential function. Also the mean that is being calculated is the expected value of a function. The expected value of a function is an integral usually, but sometimes the expected value function can be simplified to the average function. Here is a mathematical overview including discussion of using IS to evaluate integrals: kzbin.info/www/bejne/eWTTY6p_abd0n5o