4 papers
On the Banach-Mazur Ellipse
V. D. Babev, M. Ivanov, R. Nikolov
We provide a new proof of Ader's characterisation of the ellipse of minimal Banach-Mazur distance to the unit circle of a normed plane in terms of contact and extremal points. Our…
Wasserstein Regression as a Variational Approximation of Probabilistic Trajectories through the Bernstein Basis
Maksim Maslov, Alexander Kugaevskikh, Matthew Ivanov
This paper considers the problem of regression over distributions, which is becoming increasingly important in machine learning. Existing approaches often ignore the geometry of th…
Subdifferential determination of a primal lower regular function on a Banach space
M. Ivanov, M. Konstantinov, N. Zlateva
We generalize to Banach space Thibault-Zagrodny Theorem that if and are primal lower regular functions and locally, then and locally diffe…
Digital representation of continuous observables in Quantum Mechanics
M. G. Ivanov, A. Yu. Polushkin
To simulate the quantum systems at classical or quantum computers, it is necessary to reduce continuous observables (e.g. coordinate and momentum or energy and time) to discrete on…