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Towards Efficient Learning of GNNs on High-Dimensional Multilayered Representations of Tabular Data
AbstractFor prediction tasks using tabular data, it is possible to extract additional information about the target variable by examining the...
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A Variable Selection Method for High-Dimensional Survival Data
Survival data with high-dimensional predictors are regularly collected in many studies. Models with a very large number of covariates are both...
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Testing the Performance of Some New Hybrid Metaheuristic Algorithms for High-Dimensional Optimization Problems
This chapter tests the performance of five new firefly-based hybrid algorithms to solve unconstrained high-dimensional as well as fixed-dimensional...
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An Upwind Mixed Finite Volume Element-fractional Step Method and Convergence Analysis for Three-dimensional Compressible Contamination Treatment from Nuclear Waste
In this paper the authors discuss a numerical simulation problem of three-dimensional compressible contamination treatment from nuclear waste. The...
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Modeling Problems of Magnetic Hydrodynamics Problems on High-Performance Computing Systems
AbstractAn algorithm for solving problems of magnetic gas dynamics, which is adapted to the architecture of computing systems with extramassive...
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Time-Limited Balanced Truncation for Data Assimilation Problems
Balanced truncation is a well-established model order reduction method which has been applied to a variety of problems. Recently, a connection...
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High-order accurate solutions of generalized Riemann problems of nonlinear hyperbolic balance laws
We provide a systematic study for the generalized Riemann problem (GRP) of the nonlinear hyperbolic balance law, which is critically concerned with...
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Three-Dimensional Numerical Transfer Model Using a Monotonized Z-Scheme
AbstractThe aim of this work is to investigate a three-dimensional second-order monotone finite-difference scheme for the transport equation. The...
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Optimization-Based Numerical Analysis of Three-Dimensional Magnetic Cloaking Problems
AbstractInverse problems for a three-dimensional magnetostatic model arising in the design of axisymmetric multilayered shielding and cloaking...
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HT-AWGM: a hierarchical Tucker–adaptive wavelet Galerkin method for high-dimensional elliptic problems
This paper is concerned with the construction, analysis, and realization of a numerical method to approximate the solution of high-dimensional...
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Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array
In this paper, we develop a new technique to obtain improved estimates for the computational resolution limits in two-dimensional super-resolution...
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Deep Ritz Method for Elliptical Multiple Eigenvalue Problems
In this paper, we investigate solving the elliptical multiple eigenvalue (EME) problems using a Feedforward Neural Network. Firstly, we propose a...
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Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems
This paper is concerned with the design of two different classes of Galerkin boundary element methods for the solution of high-frequency sound-hard...
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Sturm–Liouville Problem for a One-Dimensional Thermoelastic Operator in Cartesian, Cylindrical, and Spherical Coordinate Systems
AbstractThe problem of constructing eigenfunctions of a one-dimensional thermoelastic operator in Cartesian, cylindrical, and spherical coordinate...
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Deep neural network expressivity for optimal stop** problems
This article studies deep neural network expression rates for optimal stop** problems of discrete-time Markov processes on high-dimensional state...
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Three-dimensional interfacial fracture analysis of a one-dimensional hexagonal quasicrystal coating
In this paper, the three-dimensional (3D) interfacial fracture is analyzed in a one-dimensional (1D) hexagonal quasicrystal (QC) coating structure...
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A Stable High-Order Perturbation of Surfaces/Asymptotic Waveform Evaluation Method for the Numerical Solution of Grating Scattering Problems
The scattering of electromagnetic radiation by a layered periodic diffraction grating is an important model in engineering and the sciences. The...
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The high-dimensional cohomology of the moduli space of curves with level structures II: punctures and boundary
We give two proofs that appropriately defined congruence subgroups of the map** class group of a surface with punctures/boundary have enormous...