Results 1 to 10 of about 14,742,828 (307)
HomPINNs: homotopy physics-informed neural networks for solving the inverse problems of nonlinear differential equations with multiple solutions [PDF]
J Comput Phys, 2023 Due to the complex behavior arising from non-uniqueness, symmetry, and bifurcations in the solution space, solving inverse problems of nonlinear differential equations (DEs) with multiple solutions is a challenging task.
Haoyang Zheng +4 more
semanticscholar +2 more sources
Inverse design of structural color: finding multiple solutions via conditional generative adversarial networks [PDF]
Nanophotonics, 2022 The “one-to-many” problem is a typical challenge that faced by many machine learning aided inverse nanophotonics designs where one target optical response can be achieved by many solutions (designs).
Peng Dai +8 more
semanticscholar +2 more sources
Extending greedy feature selection algorithms to multiple solutions [PDF]
Data Min Knowl Discov, 2021 Most feature selection methods identify only a single solution. This is acceptable for predictive purposes, but is not sufficient for knowledge discovery if multiple solutions exist.
Giorgos Borboudakis, I. Tsamardinos
semanticscholar +2 more sources
Multiple solutions in supersymmetry and the Higgs [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015 Weak-scale supersymmetry is a well-motivated, if speculative, theory beyond the Standard Model of particle physics. It solves the thorny issue of the Higgs mass, namely: how can it be stable to quantum corrections, when they are expected to be 10 15 times bigger than its mass?
openaire +5 more sources
On multiple solutions of the Grad–Shafranov equation
Nuclear FusionThe Grad–Shafranov equation (GSE) for axisymmetric MHD equilibria is a nonlinear, scalar PDE which in principle can have zero, one or more non-trivial solutions.
C.J. Ham, P.E. Farrell
doaj +2 more sources
Entropy, 2014 The purpose of this paper is to present a new kind of analytical method, the so-called residual power series, to predict and represent the multiplicity of solutions to nonlinear boundary value problems of fractional order.
Omar Abu Arqub +3 more
doaj +3 more sources
Science of the Total Environment, 2021 Fingerprinting technique is a widely used tool to assess the sources of sediments and particle bound chemicals within a watershed, and the results obtained from unmixing models are becoming valuable data to support soil and water resources monitoring and
B. Latorre +3 more
semanticscholar +1 more source
Multiple Solutions of the Tristable Energy Harvester
Energies, 2021 This paper presents the results of numerical simulations of a non-linear, tristable system for harvesting energy from vibrating mechanical devices. Detailed model tests were carried out in relation to the system consisting of a beam and three permanent ...
G. Litak +4 more
semanticscholar +1 more source
Energies, 2021 Load flow analysis is an essential tool for the reliable planning and operation of interconnected power systems. The constant increase in power demand, apart from the increased intermittency in power generation due to renewable energy sources without ...
Vedik Basetti +5 more
doaj +1 more source
Advances in Nonlinear Analysis, 2021 Apartial discrete Dirichlet boundary value problem involving mean curvature operator is concerned in this paper. Under proper assumptions on the nonlinear term, we obtain some feasible conditions on the existence of multiple solutions by the method of ...
Sijia Du, Z. Zhou
semanticscholar +1 more source