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dohmatob
  • Member for 8 years, 7 months
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0 votes

Expectation of the trace of inverse of a Gaussian random matrix

0 votes

Rate of convergence to uniform distribution

1 vote

Concentration of a certain simple / well-structured random multilinear polynomial with growing degree

1 vote

Anti-concentration of Gaussian quadratic form

2 votes

What quantities are conserved under a general gradient-flow $\dot X(t) = -\nabla L(X(t))$?

0 votes

Minimal conditions on random vector $X \in R^n$ to ensure that $\lim_{t\to 0^+}\sup_{\|w\|_p = 1}\sup_{u \in \mathbb R}\mathbb P(|X'w-u| \le t)=0$

1 vote

Tight upper-bounds for the Gaussian width of intersection of intersection of hyper-ellipsoid and unit-ball

0 votes

Minimax estimation rate of sparse vector $w_\star$, w.r.t to mixed norm $\|\hat w_n-w_\star\| := \|\hat w_n - w_\star\|_2 + \|\hat w_n-w_\star\|_q$

1 vote

Upper-bound for spectral norm of the covariance matrix of a certain Gaussian vector with correlated entries

0 votes

Hölder continuity of Radon transform of smooth function

0 votes

Under what general conditions is the set $S := \left\{\int_{X}v(x)\pi(x)\,\mathrm{d}P(x) \mid \pi: X \to A\right\}$ closed?

0 votes

Under what general conditions is the set $S := \left\{\int_{X}v(x)\pi(x)\,\mathrm{d}P(x) \mid \pi: X \to A\right\}$ closed?

7 votes

Examples of common false beliefs in mathematics

0 votes

Rademacher complexity of function class $\{(x,y) \mapsto 1[|yf(x)-\alpha| \ge \beta]$ in terms of $\alpha$, $\beta$, and Rademacher complexity of $F$

0 votes

VC dimension of a certain derived class of binary functions

1 vote

Time-derivative of integral over sub-level set $s(t) := \int_{f^{-1}((-\infty,t])}p(x)dx$

2 votes

Is $\int_{-c}^c |A \cap (x + A)|\, dx$ maximized when the measurable subset $A \subseteq \mathbb R$ is an interval centered at the origin?

6 votes

Average measure of intersection of a convex region with its translate

1 vote

Singular value of Hadamard product

0 votes

Isoperimetric inequality for $\epsilon$-expansion of a set only along a certain subspace

1 vote

Isoperimetric inequality for $\epsilon$-expansion of a set only along a certain subspace

2 votes

What does $\mathbb E_V \max_{x \in V,\,\|x\|=1} x^T Ax$ evaluate to when $V$ is random $k$-dim suspace of $\mathbb R^n$ and $A$ is fixed psd matrix?

0 votes

Given iid $w_1,\ldots,w_N \sim N(0,1/d)$ iid, find a simple matrix $A$ s.t $\|aa^T-A\|_{op} \to 0$, where $a_i := E_{G \sim N(0,1)}[f(\|w_i\| G)]$

1 vote

Marginal density of uniform spherical distribution

0 votes

Lower-bound on zero-crossing probability of the nonstationary gaussian process $X(t) = tU+(1-t^2)^{1/2}V$, with $(U,V) \sim N(0,I_2)$

0 votes

Integral of product of Hermite polynomials w.r.t marginal distribution of first two-coordinate of random vector on unit-sphere

0 votes

Approximate the singular values of a certain random dot-product kernel matrix (in the sense of El Karoui, Cheng-Singer, etc.)

1 vote

An approximation problem w.r.t marginal distribution of coordinates of uniform random vector on high-dimensional unit-sphere

0 votes

Wasserstein distance between $N(0,1/d)$ and the marginal distribution of $x_1$ when $x=(x_1,\ldots,x_d)$ is uniform on the unit-sphere in $R^d$

0 votes

Sum of Square of the Eigenvalues of Wishart Matrix