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nullgeppetto
  • Member for 8 years, 8 months
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16 votes
1 answer
1k views

How to Prove the Semi-parametric Representer Theorem

11 votes
2 answers
605 views

On the evaluation of the integral $\int_{-\frac{b}{a}}^{\frac{1-b}{a}}\log\left(ax+b\right)\exp\left(-\frac{1}{2}x^2\right)\mathrm{d}x$.

8 votes
2 answers
375 views

On visualizing the spaces $\Bbb{S}_{++}^n$ and $\Bbb{R}^n\times\Bbb{S}_{++}^n$ for $n=1,2,\ldots$

8 votes
2 answers
2k views

Optimization problem using Reproducing Kernel Hilbert Spaces

8 votes
2 answers
12k views

Minimize the Frobenius norm of the difference of two matrices with respect to matrix: $\underset{B} {\mathrm{argmin}} \left\| A- B \right\|_F$

8 votes
2 answers
4k views

Gaussian integrals over a half-space

6 votes
0 answers
1k views

Rotating an $n$-dimensional hyperplane

6 votes
1 answer
317 views

On integrating a "gaussian-like" integral

6 votes
1 answer
1k views

Expressing a quadratic form, $\mathbf{x}^TA\mathbf{x}$ in terms of $\lVert\mathbf{x}\rVert^2$, $A$

6 votes
3 answers
803 views

Optimal approximation of quadratic form

6 votes
2 answers
173 views

Find $\lim_{x\to0}\frac{\sin\left(1-\frac{\sin(x)}{x}\right)}{x^2}$. Is my approach correct?

6 votes
2 answers
1k views

If $x\sim\mathcal{N}(\mu, \sigma^2)$, what is $E\left(\frac{\exp(x)}{a+\exp(x)}\right)$ for $a>0$?

5 votes
2 answers
683 views

Volume of intersection of the $n$-ball with a hyperplane

5 votes
1 answer
1k views

Reproducing Kernel Hilbert Space (RKHS) constructed by the summation of positive-definite kernels.

5 votes
0 answers
172 views

Applying PCA on covariance matrix in order to generate a new random variable.

5 votes
4 answers
3k views

Expected distance between two vectors that belong to two different Gaussian distributions

5 votes
1 answer
90 views

Number of antipodal pairs of $n$-sphere points mapped to discrete points in $\mathbb{R}^n$

5 votes
0 answers
183 views

Find point of $n$-sphere after moving on geodesic by given angle

4 votes
0 answers
103 views

Can a curve on $n$-sphere be uniquely defined by a "direction" vector?

4 votes
1 answer
111 views

Diffeomorphism from $n$-cone to $\mathbb{R}^{n+1}$ -- parametric equation of geodesic?

4 votes
2 answers
159 views

On the convexity of a particular form of integrals

4 votes
2 answers
2k views

Expected value of the sign of a normal random variable

4 votes
1 answer
733 views

Estimation of the expected value of a function of a random variable

4 votes
1 answer
3k views

Malalanobis distance between two multivariate Gaussian distributions

4 votes
1 answer
156 views

Help on the following indefinite integral: $\int\big(\sqrt{1-t^2}\big)^{n-1}\mathrm{d}t$

3 votes
0 answers
295 views

Prove or disprove that the Bhattacharyya distance is a true distance function

3 votes
1 answer
702 views

Integration over the intersection of the $n$-ball and a hyperplane

3 votes
4 answers
191 views

Prove that $\cos\left(\frac{2\pi}{n}\right)+\cos\left(\frac{4\pi}{n}\right)+\ldots+\cos\left(\frac{2(n-1)\pi}{n}\right)=-1$

3 votes
0 answers
154 views

Is $h(\mathbf{a},b)=\int_\Omega f(\mathbf{x})e^{-g(\mathbf{x})}\mathrm{d}\mathbf{x}$ differentiable?

3 votes
2 answers
4k views

Find the marginal distributions (PDFs) of a multivariate normal distribution