48 citations
- Radiophysical Research InstituteRU2 papers
- Skolkovo Institute of Science and TechnologyRU2 papers
- Institute of Applied PhysicsMD1 paper
- Ministry of ManpowerSG1 paper
- United States Air Force Research LaboratoryUS1 paper
- University of North Carolina at CharlotteUS1 paper
- Wright-Patterson Air Force BaseUS1 paper
3 papers
math.NA2024★ 7 cited
Are Two Hidden Layers Still Enough for the Physics-Informed Neural Networks?
Vasiliy A. Es'kin, Alexey O. Malkhanov, Mikhail E. Smorkalov
The article discusses the development of various methods and techniques for initializing and training neural networks with a single hidden layer, as well as training a separable ph…
math.NA2023★ 5 cited
About optimal loss function for training physics-informed neural networks under respecting causality
Vasiliy A. Es'kin, Danil V. Davydov, Ekaterina D. Egorova +3
A method is presented that allows to reduce a problem described by differential equations with initial and boundary conditions to the problem described only by differential equatio…
physics.optics2015★ 48 cited
Spectrally resolved resonant propulsion of dielectric microspheres
Yangcheng Li, Alexey V. Maslov, Nicholaos I. Limberopoulos +2
Use of resonant light forces opens up a unique approach to high-volume sorting of microspherical resonators with much higher uniformity of resonances compared to that in coupled-ca…