Dmitrii M. Ostrovskii

collaborators

2 papers

math.CV2025

Amplitude maximization in stable systems, Schur positivity, and some conjectures on polynomial interpolation

Dmitrii M. Ostrovskii, Pavel S. Shcherbakov

For $r > 0$ and integers $t \geq n > 0$ , we consider the following problem: maximize the amplitude $∣ x_{t} ∣$ at time $t$ , over all complex solutions $x = (x_{0}, x_{1}, \dots)$ of arbitra…

math.ST2024

Near-Optimal and Tractable Estimation under Shift-Invariance

Dmitrii M. Ostrovskii

How hard is it to estimate a discrete-time signal $(x_{1}, ..., x_{n}) \in C^{n}$ satisfying an unknown linear recurrence relation of order $s$ and observed in i.i.d. comple…