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awarded  Notable Question
May
17
comment if $\mathbf x$ is sampled randomly from a hypercube on $R^n$, what is the probability density for $|\mathbf x| = d$
@oldrinb oh derp, its just WA...
May
17
comment if $\mathbf x$ is sampled randomly from a hypercube on $R^n$, what is the probability density for $|\mathbf x| = d$
@Mark Sorry, but I don't understand. Can you dumb it down a bit :) ?
May
17
comment if $\mathbf x$ is sampled randomly from a hypercube on $R^n$, what is the probability density for $|\mathbf x| = d$
What is WAI? Is it a general trend that arbitrary pdf's are hard to solve? The question seemed so simple conceptually... I'm 2/2 now for getting unexpectedly difficult solutions to questions about conceptually simple pdf's.
May
17
comment if $\mathbf x$ is sampled randomly from a hypercube on $R^n$, what is the probability density for $|\mathbf x| = d$
Edited my question to clarify that I am asking about the case where $x$ is sampled from the uniform distribution on $[0,1]^d$. And, yes, I am asking about the density of $|x|$.
May
17
revised if $\mathbf x$ is sampled randomly from a hypercube on $R^n$, what is the probability density for $|\mathbf x| = d$
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May
17
asked if $\mathbf x$ is sampled randomly from a hypercube on $R^n$, what is the probability density for $|\mathbf x| = d$
May
17
revised Universal Approximation Theorem — Neural Networks
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May
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revised Universal Approximation Theorem — Neural Networks
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May
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comment Universal Approximation Theorem — Neural Networks
@robjohn cool, thanks.
May
7
comment Universal Approximation Theorem — Neural Networks
@robjohn I was also wondering if cstheory might be a better fit. What would be the best way to approach that possibility? I assume the correct procedure would be to migrate the question, but I'm a bit wary of possibly migrating to the wrong place.
May
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May
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revised Universal Approximation Theorem — Neural Networks
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May
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asked Universal Approximation Theorem — Neural Networks
Apr
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comment Probability distribution of a sum of uniform random variables
Cool. Of course the problem here is that I have to learn moments. They don't exactly seem trivial either.
Apr
23
accepted Probability distribution of a sum of uniform random variables
Apr
23
comment Probability distribution of a sum of uniform random variables
Good point. I need to split the distribution at the mean and then find the mean of the half of the distribution. For each $x_i$ in the sum there will also be $x_j = -x_i$, so I believe the distribution will be symmetric and have a mean of $0$. But I need the mean of only the density on one side of the mean. Being able to calculate the mean for other arbitrary partitions would be useful also.
Apr
23
comment Probability distribution of a sum of uniform random variables
Ok, so the distribution when not iid is nameless as far as we know, but then how do I find it? Should I just try to use the convolution as the other poster suggests?