4 problems

Let $k,l\ge 2$ and let $\pi\in\mathcal{P}([0,1]^k\times[0,1]^l)$ be a multivariate distribution. Multivariate adapted copula rate conjecture. Consistency should still hold, while t…

The statistical lower and upper bounds in the setting considered are respectively $\mathcal{O}(d^{-(m-1)})$ and $\widetilde{\mathcal{O}}(d^{-(m-1)})$, while the computational lower…

The rate in equation refers to the error bound for the estimator in the slow regime of the paper's finite-time analysis of vector autoregressive models under linear restrictions. R…

Let $n\in\mathbb{N}$ be the sample size, let $\alpha>0$ be the privacy parameter, and let $\omega_{TV}$ and $\omega_H$ denote the total-variation and Hellinger moduli appearing in…