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A note on the triviality of gradient solitons of the Ricci–Bourguignon flow
Under appropriate constraints on the sign of the Ricci curvature, we investigate the triviality of gradient solitons of the Ricci–Bourguignon flow....
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Scalar Forcing Methodology for Direct Numerical Simulations of Turbulent Stratified Mixture Combustion
Scalar forcing in the context of turbulent stratified flame simulations aims to maintain the fuel-air inhomogeneity in the unburned gas. With scalar...
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Conjugate Gradient Methods
These methods are characterized by very strong convergence properties and modest storage requirements. They are dedicated to solving large-scale...
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Distributed accelerated gradient methods with restart under quadratic growth condition
We consider solving convex problems satisfying quadratic growth condition (QGC) over a distributed setting with no central server. Such problems are...
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On the hybridization of geometric semantic GP with gradient-based optimizers
Geometric semantic genetic programming (GSGP) is a popular form of GP where the effect of crossover and mutation can be expressed as geometric...
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On Some Works of Boris Teodorovich Polyak on the Convergence of Gradient Methods and Their Development
AbstractThe paper presents a review of the current state of subgradient and accelerated convex optimization methods, including the cases with the...
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Mechanics of mixture unified gradient nanobars with elastic boundary conditions
Carbon nanotubes are one of the most influential constituents of advanced engineering systems. The classical continuum mechanics, however, ceases to...
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A Nonlinear Conjugate Gradient Method Using Inexact First-Order Information
Conjugate gradient methods are widely used for solving nonlinear optimization problems. In some practical problems, we can only get approximate...
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TRBoost: a generic gradient boosting machine based on trust-region method
Gradient Boosting Machines (GBMs) have achieved remarkable success in effectively solving a wide range of problems by leveraging Taylor expansions in...
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Vaidya geometries and scalar fields with null gradients
Since, in Einstein gravity, a massless scalar field with lightlike gradient behaves as a null dust, one could expect that it can act as the matter...
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Gradient-flowed order parameter for spontaneous gauge symmetry breaking
The gauge-invariant two-point function of the Higgs field at the same spacetime point can make a natural gauge-invariant order parameter for...
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Phase transitions and gravitational waves in a model of ℤ3 scalar dark matter
Theories with more than one scalar field often exhibit phase transitions producing potentially detectable gravitational wave (GW) signal. In this...
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Modified globally convergent Polak-Ribière-Polyak conjugate gradient methods with self-correcting property for large-scale unconstrained optimization
In this paper, we propose a modified Polak-Ribière-Polyak conjugate gradient method. Different from the existent methods, a dam** factor is...
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Stochastic second-gradient continuum theory for particle-based materials: part II
This article is the second part of a previous article devoted to the deterministic aspects. Here, we present a comprehensive study on the development...
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Smooth momentum: improving lipschitzness in gradient descent
Deep neural network optimization is challenging. Large gradients in their chaotic loss landscape lead to unstable behavior during gradient descent....
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A Note on Scalar-Gradient Sharpening in the Stable Atmospheric Boundary Layer
The scalar front generated by the horizontal self advection of a dipolar vortex through a modest scalar gradient is investigated. This physical...
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A limited memory subspace minimization conjugate gradient algorithm for unconstrained optimization
Subspace minimization conjugate gradient (SMCG) methods are a class of quite efficient iterative methods for unconstrained optimization. The...
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Schrödinger–Poisson systems under gradient fields
A singularity-free generalisation of Newtonian gravity can be constructed (Lazar in Phys Rev D 102:096002, 2020) within the framework of gradient...
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Geological model automatic reconstruction based on conditioning Wasserstein generative adversarial network with gradient penalty
Due to the structure complexity and heterogeneity of the geological models, it is difficult for traditional methods to characterize the corresponding...
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X-ray Computed Tomography Reconstruction Algorithm for Refractive Index Gradient
The aim of this research is to reconstruct the 3D X-ray refractive index gradient maps by the proposed vector Radon transform and its inverse,...