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Learning Math
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0 answers
133 views

What're the rank of these "kernel" matrices used often in machine learning?

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74 views

What's the non-negative, finite Borel measure whose Laplace transform is $e^{-\alpha r}, \alpha \geq 0$ fixed, that corresponds to Gaussian?

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1 answer
196 views

Two minimization problems using singular value decomposition

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100 views

Two inequalities involving the resolvent of sample covariance matrix

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27 views

Can we put a flat metric on any subset of $\mathbb{R}^D$ that's diffeomorphic to an open subset on $\mathbb{R}^d, d < D?$ (just checking!)

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29 views

Is there an inequality relating the difference between two random variable and the difference between their distribution functions?

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2 answers
55 views

Does two same dimensional, centered matrices $X, Y$ satisfying $X'X = Y'Y$ necessarily satisfy: $Y=RX$ for a rotation $R$?

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1 answer
57 views

Does the convergence in probability imply the following limit is $1?$

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1 answer
43 views

Transformation(s) on a random vector to make its co-ordinates independent?

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2 answers
29 views

The definition of independence depends on the target spaces of the random variable?

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51 views

An example/counterexample for convergence in probability for "squeezing sequences" of random variables

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1 answer
35 views

Does the mean of an iid random sample lie between minima/maxima almost surely or with large probability for large enough sample size?

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2 answers
52 views

Does entrywise asymptotic similarity of functions translate to the asymptotic similarity of the corresponding determinants with these as entries?

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1 answer
39 views

Can we find a lower bound for $P(V>1)$ when we know $EV=1$ and $P(V \le 1- \eta) \ge \delta? V \ge 0$ is non-constant.

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1 answer
142 views

Should I call this distribution a Beta distribution?

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3 answers
87 views

How many ways are there for the average of the two course grades to be a positive integer?

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2 answers
53 views

Does uniform convergence of uniformly bounded, nonnegative, continuous functions to 0 on an infinite measure space imply integrals converge to 0?

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1 answer
30 views

Is it possible to construct any random vector in any dimension with iid components so its norm is a given positive (or nonnegative) random vector?

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1 answer
39 views

Is the following inequality necessarily true for positive random variables?

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44 views

Is there a relation between variance and range where we take iid random samples, does range goes to $0$ in probability means the same for for variance

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1 answer
68 views

Does the convergence in probability to 1 of max to min of two samples mean the random variable divided by its mean converges to 1 in probability?

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1 answer
70 views

How unique is the orthogonal diagonalization of a real symmetric matrix, if we don't change the diagonal matrix of eigenvalues (no permutaiton)?

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2 answers
83 views

Relation between two normal charts on a Riemannian manifolds?

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206 views

On the calculation of the gradient of the squared distance function on a Riemannian manifold

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110 views

Just checking: Hessian of the distance function on the constant curvature spaces are not of full rank?

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91 views

Requirement of Hessian comparison theorem to prove that the squared distance function is strictly geodesically convex.

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1 answer
217 views

Minimum eigenvalue of $\sum_{i=1}^{n}v_iv_i^{T}$

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71 views

Are the fixed points of a continuous map from a compact, convex subset of the Euclidean space to itself always isolated? If not, is there a condition?

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1 answer
115 views

For a.e. $x$ in convex hull of $\{x_1\dots x_n\}\subset R^d, \sum_{i=1}^{n}(x-x_i)(x-x_i)^{T}$ nonsingular,$\{x_1, \dots x_n\}$ spans $R^d, n \ge d$?

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1 answer
158 views

How to define the covariance of an inner product space valued random variable in a basis invariant way?