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| bio | website | |
|---|---|---|
| location | ||
| age | ||
| visits | member for | 2 years, 7 months |
| seen | Nov 13 '12 at 4:19 | |
| stats | profile views | 72 |
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Jan 18 |
awarded | Popular Question |
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Jul 7 |
revised |
logarithm of a matrix base a matrix — $\mathbf{A}^x = \mathbf{B}$ added 70 characters in body |
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Jul 7 |
asked | logarithm of a matrix base a matrix — $\mathbf{A}^x = \mathbf{B}$ |
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Oct 8 |
awarded | Yearling |
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Aug 7 |
answered | Question about path-finding |
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Aug 7 |
comment |
Choosing set of best estimators for linear least squares You mention that your basis functions may even be repeated, but that this poses no problem for you since least-squares is well defined even in this case. Is that actually true? Are you also doing an $\ell_1$ or $\ell_2$ penalization on the weights? |
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Jul 6 |
accepted | What is $\text{cov}(Y,Y)$ given $\text{cov}(X,Y)$ and $\text{cov}(X,X)$ |
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Jul 6 |
accepted | Using complex exponentials as solution of ODE |
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Jul 5 |
asked | What is $\text{cov}(Y,Y)$ given $\text{cov}(X,Y)$ and $\text{cov}(X,X)$ |
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Jul 5 |
asked | Singular Distribution |
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May 3 |
comment |
Gram matrix invertible iff set of vectors linearly independent @Qiochu I know, by Gram-Schmidt, how to find the orthonormal basis that you mentioned. I can then represent each vector in my original set by this basis, thereby reducing the dimension of the vectors to equal the dimension of the subspace that they span. Do you think there is a way to demonstrate the property I'm asking about without requiring this reduction? |
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May 3 |
comment |
Gram matrix invertible iff set of vectors linearly independent This only works if $A$ is square which assumes that there are as many vectors in the set as there are dimensions in each vector. Consider for example $v_1=<1,0,1>$ and $v_1=<0,1,1>$. Then $G=\begin{array}{cc} 2 & 1 \\ 1 & 2 \end{array}$, whose determinant is non-zero. |
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May 3 |
asked | Gram matrix invertible iff set of vectors linearly independent |
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May 2 |
asked | Arrow in limit operator |
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Jan 13 |
accepted | Frequency Swept sine wave — chirp |
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Jan 13 |
comment |
Frequency Swept sine wave — chirp @Rahul Thank you! My intuition was broken and I should have remembered this from my signals book. |
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Jan 13 |
asked | Frequency Swept sine wave — chirp |
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Jan 13 |
answered | Solving the functional equation $f(x+1) - f(x-1) = g(x)$ |
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Dec 12 |
answered | Question regarding Dynamic Programming for Audio Recognition |
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Nov 23 |
comment |
Create a trapping region for Lorenz Attractor I may assume that $r>1$ but I really should just use that they are positive parameters. I tried using Lagrange multipliers but also had a problem with the tractability of the math. |
