Earlier quoted context omitted.
Weirdly enough, even the proportion of points within a distance of 1/2 to the midpoint becomes really small for higher dimensions.
takeaway: With enough dimensions everyone is weird
When the U.S. air force discovered the flaw of averages
101–110 of 115 posts
Re: When the U.S. air force discovered the flaw of averages
#102Earlier quoted context omitted.
Or as one of my professor would say (after showing the calculation for n-dimensional spheres): "and that's why infinite dimensional oranges are all skin!"
This must be a common saying. I've heard it from every lecturer I've ever had for machine learning and sampling techniques.
Re: When the U.S. air force discovered the flaw of averages
#103Re: When the U.S. air force discovered the flaw of averages
#104Earlier quoted context omitted.
> A cockpit is not a suit. The opposite is true. To fly an airplane with precision, you need to "strap the airplane on." That means sitting in the position with the best visibility and best reach inside the cockpit, even a Cessna 172. (In a 172, you should sit high enough to be able to see each of the rivets on top of the cowling.)
Yes, but the seat does adjust. It isn't the case that the cockpit must be tailored to every person. Each Cessna, 747 or f-16 seat is practically interchangeable amongst the type. These aren't WWI biplanes with nothing more than a cushion. Even then, the cushion height, the prime dictator of eye level, is adjustable.
Re: When the U.S. air force discovered the flaw of averages
#105It doesn't take a lot of dimensions, though. I've seen many system workloads where the average latency was not the latency of any of the requests.
Re: When the U.S. air force discovered the flaw of averages
#106This is incredibly poignant in a world where our designers and engineers are moving to provide users less options and less configuration, deeming their ideal designs, meant to meet 'most users needs', is superior.
Re: When the U.S. air force discovered the flaw of averages
#107I'm pretty sure averages used in the wrong way affect many more fields than any of us can realize today.
Re: When the U.S. air force discovered the flaw of averages
#108Earlier quoted context omitted.
Similarly, imputation of "race" by genome testing depends crucially on assuming that the average genome is informative, This is a nonsensical mischaracterization of both modern genetics and the theory of high dimensional vector spaces. The phenomenon the article is discussing is the fact that the mass near the center of a normal distribution approaches zero as the number of dimensions goes up, and that most of the ma…
I can talk about some of this, if only because of some of the ethical dilemmas facing me and genome testing as of recent. Racial Groups as described by a geneticist vs say, a government doing polling on its citizens are different animals. Goverments == mostly sociological. An example would be Hispanic in the US, where growing up data collection would ask if someone was Hispanic, and now it asks if you are white vs no…
Re: When the U.S. air force discovered the flaw of averages
#109Earlier quoted context omitted.
Or as one of my professor would say (after showing the calculation for n-dimensional spheres): "and that's why infinite dimensional oranges are all skin!"
This must be a common saying. I've heard it from every lecturer I've ever had for machine learning and sampling techniques.
Re: When the U.S. air force discovered the flaw of averages
#110Earlier quoted context omitted.
I can talk about some of this, if only because of some of the ethical dilemmas facing me and genome testing as of recent. Racial Groups as described by a geneticist vs say, a government doing polling on its citizens are different animals. Goverments == mostly sociological. An example would be Hispanic in the US, where growing up data collection would ask if someone was Hispanic, and now it asks if you are white vs no…
Great post, thanks! You use 'Mestizo' once, and then 'mezito' several times. Is this slang, a repeated typo, or a term of the art? Google doesn't find much for it.