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| bio | website | cse.iitb.ac.in/~aruniyer |
|---|---|---|
| location | India | |
| age | 29 | |
| visits | member for | 1 year |
| seen | 4 hours ago | |
| stats | profile views | 111 |
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May 7 |
awarded | Caucus |
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Apr 23 |
awarded | Yearling |
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Mar 27 |
answered | Why do we use gradient descent in the backpropagation algorithm? |
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Mar 21 |
comment |
norm of a linear operator For a fixed $x$, $\|A(x)\| = \|A(\frac{x}{\|x\|})\| \|x\| \leq \|A\|\|x\|$. The first step uses linearity of the operator and the second step uses definition of the operator norm. This is not a complete proof, one has to consider some case, but the gist of the proof is just this much. |
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Mar 21 |
comment |
Finding a vector orthogonal to a subspace What is wrong with your finding x such that Ax = 0 idea? I see it as completely correct way of going about this. |
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Mar 9 |
comment |
Is the set of all straight lines in the plane whose slope and y-intercept are integers countable? If f is a bijective map from N to P, then even $(m, n) \mapsto (f(m), f(n))$ should be bijective from NxN to PxP. |
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Mar 8 |
answered | Intuition behind logarithm inequality |
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Feb 6 |
comment |
Prove by using Pigeon Hole Principle @chihiroasleaf Said differently, consider the set {3, 33, 333, 3333, ...., (3 repeated k times)}. Now, any number when divided by k can give remainders between 0 and k - 1. Now, divide each number in the given set with k and observer the remainders that they give. What happens if one of the remainders is zero and what happens if none of the remainders are zero? |
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Feb 6 |
answered | Is a convex, nondecreasing function of an invex function invex? |
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Feb 2 |
suggested | suggested edit on Positive definite matrix inequality |
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Feb 2 |
answered | What does it mean to restricting a function to a line in convex optimization? |
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Jan 27 |
comment |
How variance is defined? What you propose is another way of measuring spread - it is called mean absolute deviation. |
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Jan 25 |
comment |
Proving Hölder's Inequality You just need Jensen's Inequality. Check out @mike 's comment here - math.stackexchange.com/questions/211633/… |
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Jan 24 |
comment |
Subspace of a Hilbert Space @Norbert, after reading Martin's answer I see how you made that connection :-) I was going through the link you suggested several times, honestly though I wasn't smart enough to see the similarities :-). |
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Jan 24 |
awarded | Student |
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Jan 24 |
comment |
Subspace of a Hilbert Space Thank you! This answer has gone a long way into making me understand several different things! :-) |
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Jan 24 |
accepted | Subspace of a Hilbert Space |
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Jan 24 |
comment |
Subspace of a Hilbert Space @Martin I have added the uniform boundedness principle to the question. |
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Jan 24 |
revised |
Subspace of a Hilbert Space added 485 characters in body |
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Jan 24 |
revised |
Subspace of a Hilbert Space edited tags |
