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Results tagged with real-analysis
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user 106046
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
2
votes
Estimation of the Gromov–Wasserstein distance of spheres
I'll preface this by saying that this is not a complete answer.
First, there is a very nice Python package called POT which has calculation of Wasserstein-Gromov distance included (for discrete measu …
- 1,095
1
vote
Accepted
How to prove that is a consistent estimator?
Take $\pi^N$ with $AW(\pi^N, \pi) \leq \frac{1}{N}$, where we denote by $\mu^N$ and $\nu^N$ the marginals of $\pi^N$.
Note that by the backward induction for $AW$ (cf. here), it holds
$$
AW(\pi, \pi^N …
- 1,095
2
votes
1
answer
170
views
Gradient of a convex function on $\mathbb{R}^d$, maximum on hypercubes bounded by values in ...
Let $f : \mathbb{R}^d \rightarrow \mathbb{R}$ be infinitely often continuously differentiable and convex.
For $d = 1$, we know that for any interval $[a, b]$, it holds for $x, y \in [a, b]$ that
$$
(f …
- 1,095