4 problems

Let mutation matrices be governed by a single order parameter $\theta$, and let $\theta(e)$ denote the parameter of the mutation matrix $M^e$ on edge $e$. Consider the Markov rando…

Quadratic sample-complexity conjecture. The quantum sample complexities of von Neumann entropy estimation, trace distance estimation, and fidelity estimation are

Cryo-EM sample-complexity conjecture. If $R\geq 3$ is large enough, then the minimal number of observations required for accurate recovery of the $\operatorname{O}(n)$ orbit of $f$…

Let $\boldsymbol{F}=\{F_i\}_{i\in[n]}$ be $n\geq1$ asymmetric quasi-regular valuation distributions, let $\varepsilon\in(0,1)$, and define truncated distributions…