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Functions of Least Gradient
This book is devoted to the least gradient problem and its variants. The least gradient problem concerns minimization of the total variation of a...
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Enhancing Writer Identification with Local Gradient Histogram Analysis
Writer identification is a critical aspect of document analysis and has significant implications in various domains, including forensics,...
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Gradient Systems
This chapter discusses both major components of the gradient systems required by low-field MRI systems, namely the gradient driver and the gradient...
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Analysis of piezoelectric semiconductor fibers under gradient temperature changes
Piezoelectric semiconductors (PSs) possess both semiconducting properties and piezoelectric coupling effects, making them optimal building blocks for...
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Size-dependent axisymmetric bending analysis of modified gradient elastic Kirchhoff–Love plates
The sixth-order basic differential equation of axisymmetric bending model for modified gradient elastic Kirchhoff–Love plates (MGEKLPs) subjected to...
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Structural Analysis in the Problems of Gradient Elasticity
AbstractThe article deals with the problems of gradient elasticity from the viewpoint of structural analysis of the solutions. On the basis of...
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Nonlocal strain gradient model for thermal buckling analysis of functionally graded nanobeams
In this work, a nonlocal strain gradient model for the buckling analysis of functionally graded Euler–Bernoulli beam subjected to thermo-mechanical...
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Modeling and analysis of the effect of strain gradient to design diaphragm for pressure sensing application through finite element analysis
Capacitive and optical-based pressure sensors are considered for wide application in industries and R&D labs due to their superior performance. In...
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Comparative Analysis of Gradient-Boosting Ensembles for Estimation of Compressive Strength of Quaternary Blend Concrete
Concrete compressive strength is usually determined 28 days after casting via crushing of samples. However, the design strength may not be achieved...
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A nonlocal strain gradient model for buckling analysis of laminated composite nanoplates using CLPT and TSDT
In this work, a nonlocal strain gradient model is developed for the buckling analysis of laminated nanocomposite plates. The nonlocal and strain...
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Cooling Performance Elevation of a 3T Animal Gradient Assembly with Hollow Pipe Axial Gradient Coil
The cooling performance of gradient coils is an important indicator of magnetic resonance imaging (MRI), which is closely related to the image...
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Differential Privacy in Federated Dynamic Gradient Clip** Based on Gradient Norm
Federal learning achieves privacy preservation by adding noise to gradient. The noise needs to be clipped to prevent excessive noise from...
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Analysis on Rockburst Failure Energy Evolution of Model Specimen Under Stress Gradient
Rockburst is a safety problem that needs to be solved urgently in deep rock and mineral exploitation. The stress gradient is an important factor...
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State space representation and phase analysis of gradient descent optimizers
Deep learning has achieved good results in the field of image recognition due to the key role of the optimizer in a deep learning network. In this...
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Gradient Method
In this chapter we introduce the gradient method, which is one of the first methods proposed for the unconstrained minimization of differentiable...
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Size-Dependent Analysis of Piezoelectric–Elastic Bilayer Microbeams Based on General Strain Gradient Theory
The classical piezoelectric theory fails to capture the size-dependent electromechanical coupling behaviors of piezoelectric microstructures due to...
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Failure Analysis of Thickness Gradient Negative Poisson’s Ratio Concave Honeycomb Sandwich Panels Under Local Impact
Based on the proposed multi-arc curved edge concave adjustable Poisson’s ratio cell, five kinds of sandwich panels with negative Poisson’s ratio...
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Practical gradient and conjugate gradient methods on flag manifolds
Flag manifolds, sets of nested sequences of linear subspaces with fixed dimensions, are rising in numerical analysis and statistics. The current...
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Enhancing Graph-Based Representation Learning with Adversarial Policy Gradient: A Hyperparameter Analysis
Modeling the intricate neural mechanisms underlying human visual processing poses significant challenges. In recent years, graph-based...
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Unified Analysis of Stochastic Gradient Methods for Composite Convex and Smooth Optimization
We present a unified theorem for the convergence analysis of stochastic gradient algorithms for minimizing a smooth and convex loss plus a convex...
