The Gromov-Wasserstein (GW) framework adapts ideas from optimal transport to allow for the comparison of probability distributions defined on different metric spaces. Scalable computation GW distances and associated matchings graphs point clouds have recently been made possible by state-of-the-art algorithms such as S-GWL MREC. Each these algorithmic breakthroughs relies decomposing underlying ...

The roundoff errors in computer simulations of continuous dynamical systems, which are caused by finiteness of machine arithmetic, can lead to qualitative discrepancies between phase portraits of the resulting spatially discretized systems and the original systems. These effects can be modelled on a multidimensional integer lattice by using a dynamical system obtained by composing the transitio...

Abstract. We study analytically and numerically stability and interaction patterns of quantized vortex lattices governed by the reduced dynamical law – a system of ordinary differential equations (ODEs) – in superconductivity. By deriving several non-autonomous first integrals of the ODEs, we obtain qualitatively dynamical properties of a cluster of quantized vortices, including global existenc...

The paper investigates a new kind of controller--the quantized controller, which can give a close to optimum nonlinear control surface. In contrary to the rough control surface generated by the fuzzy controller, the quantized controller can give better and smoother control. The quantized controller is trainable. By using an error function and the gradient decent method, control surface can be f...

In this paper, we consider the design of interconnected H∞ feedback control systems with quantized signals. We assume that a decentralized dynamic output feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired H∞ disturbance attenuation level is achieved, and that the subsystem measurement outputs are quantized before th...

This paper studies the identification of ARMA systemswith coloredmeasurement noises using finite-level quantized observations. Comparedwith the case under colorless noises, this problem ismore challenging. Our approach is to jointly design an adaptive quantizer and a recursive estimator to identify system parameters. Specifically, the quantizer uses the latest estimate to adjust its thresholds,...

This work introduces novel parallelization techniques for Quantized State System (QSS) simulation of continuous time and hybrid systems and their implementation on a multicore architecture. Exploiting the asynchronous nature of QSS algorithms, the novel methodologies are based on the use of non–strict synchronization between logical processes. The fact that the synchronization is not strict all...

Eigenenergies of a non-Hermitian system without parity-time symmetry are complex in general. Here, we show that the chiral boundary states higher-dimensional topological insulators can be Hermitian with real eigenenergies under certain conditions. Our approach allows one to construct edge and hinge from two-dimensional Chern three-dimensional second-order insulators, respectively. Such channels...

We develop a model of quantum field confined within cavity with movable wall where the position is quantized. obtain full description dynamics both and confining depending on initial state whole system. Both reaction back-reaction wall, field, can be taken into account, as well external driving forces wall. The exactly reproduces resonant mode stimulation due to periodic motion mirror (dynamica...