Search
Search Results
-
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces
Computing spectra is a central problem in computational mathematics with an abundance of applications throughout the sciences. However, in many...
-
Feature Screening and Error Variance Estimation for Ultrahigh-Dimensional Linear Model with Measurement Errors
In this paper, we mainly study the feature screening and error variance estimation in ultrahigh-dimensional linear model with errors-in-variables...
-
Deep Energies for Estimating Three-Dimensional Facial Pose and Expression
While much progress has been made in capturing high-quality facial performances using motion capture markers and shape-from-shading, high-end systems...
-
Modeling a Synthesized Element of Complex Geometry Based upon Three-Dimensional and Two-Dimensional Finite Elements
AbstractThis paper offers a description of an approach to modeling a synthesized element featuring a complex geometry. Owing to the region under...
-
Empirical Stationary Condition of Two-Dimensional Flows of Ionizing Hydrogen in the Plasma Accelerator Channel
AbstractStationary and unstable pulsating flows of ionizing hydrogen in the channel of a quasi-stationary plasma accelerator are considered....
-
Two-Dimensional Self-Driven Particles and Flow Patterns
The OV model can be extended to higher-dimensional systems such as asymmetric dissipative systems. We observe the emergence of various macroscopic...
-
The Calculus of Variations for One-dimensional Problems
The goal of this chapter is to study one-dimensional variational problems where one tries to minimize an integral functionalIntegral functional of...
-
Advanced Stochastic Monte Carlo Optimization Methods for Two-Dimensional European Style Options
Multidimensional option pricing poses significant challenges and is a fundamental area in large-scale finance. A European call option grants the...
-
Data Assimilation for the Two-Dimensional Ambipolar Diffusion Equation in Earth’s Ionosphere Model
AbstractThe problem of variational data assimilation for the INM RAS two-dimensional diffusion model of the Earth’s ionosphere F region is...
-
Hybridizable Discontinuous Galerkin Methods for the Two-Dimensional Monge–Ampère Equation
We introduce two hybridizable discontinuous Galerkin (HDG) methods for numerically solving the two-dimensional Monge–Ampère equation. The first HDG...
-
Three-Dimensional Simulation of Singleand Multi-Phase Flows in Roughness Microchannels
AbstractTo predict the behavior of reservoir fluids in porous media and their investigation at the macroscopic level, it is necessary to study in...
-
A Complementary Topographic Feature Detection Algorithm Based on Surface Curvature for Three-Dimensional Level-Set Functions
The level-set method is widely used in expanding front simulations in numerous fields of computational research, such as computer graphics, physics,...
-
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...
-
Low-Dimensional Invariant Embeddings for Universal Geometric Learning
This paper studies separating invariants: map**s on D -dimensional domains which are invariant to an appropriate group action and which separate...
-
Codimension-2 bifurcations of a generalized three-dimensional cubic jerk system
This paper is devoted to analyzing the codimension-2 bifurcations of a generalized three-dimensional (3D) jerk system which is jerk function with all...
-
Side effects of learning from low-dimensional data embedded in a Euclidean space
The low-dimensional manifold hypothesis posits that the data found in many applications, such as those involving natural images, lie (approximately)...
-
Parallel Numerical Implementation of Mathematical Wave Hydrodynamics Models Taking into Account the Features of the Vertical Turbulent Exchange Using Remote Sensing Data
AbstractThis paper presents a parallel implementation of the wave hydrodynamics model and the modern SWAN wind-wave model. The results of the...
-
Oracle inequalities for weighted group lasso in high-dimensional misspecified Cox models
We study the nonasymptotic properties of a general norm penalized estimator, which include Lasso, weighted Lasso, and group Lasso as special cases,...
-
Smooth projection of mortality improvement rates: a Bayesian two-dimensional spline approach
This paper proposes a spline mortality model for generating smooth projections of mortality improvement rates. In particular, we follow the...
-
Semi-Analytical ERKN Integrators for Solving High-Dimensional Nonlinear Wave Equations
Incorporating the operator-variation-of-constants formula for high-dimensional nonlinear wave equations with Fast Fourier Transform techniques in...