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On gradient field theories: gradient magnetostatics and gradient elasticity [PDF]
Philosophical Magazine, 2014 In this work the fundamentals of gradient field theories are presented and reviewed. In particular, the theories of gradient magnetostatics and gradient elasticity are investigated and compared.
Lazar, Markus
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Gradient Convergence in Gradient methods with Errors [PDF]
SIAM Journal on Optimization, 2000 Summary: We consider the gradient method \(x_{t+1}=x_t+\gamma_t(s_t+w_t)\), where \(s_t\) is a descent direction of a function \(f:{\mathfrak R}^n\to{\mathfrak R}\) and \(w_t\) is a deterministic or stochastic error. We assume that \(\nabla f\) is Lipschitz continuous, that the stepsize \(\gamma_t\) diminishes to 0, and that \(s_t\) and \(w_t\) satisfy
Dimitri P. Bertsekas, John N. Tsitsiklis
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Gradient Correction beyond Gradient Descent
CoRR, 2022 The great success neural networks have achieved is inseparable from the application of gradient-descent (GD) algorithms. Based on GD, many variant algorithms have emerged to improve the GD optimization process. The gradient for back-propagation is apparently the most crucial aspect for the training of a neural network.
Li, Zefan +4 more
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Is the Policy Gradient a Gradient?
International Joint Conference on Autonomous Agents and Multiagent Systems, 2020 The policy gradient theorem describes the gradient of the expected discounted return with respect to an agent's policy parameters. However, most policy gradient methods drop the discount factor from the state distribution and therefore do not optimize the discounted objective. What do they optimize instead?
Chris Nota, Philip S. Thomas
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Stochastic Gradient Langevin with Delayed Gradients
CoRR, 2020 Stochastic Gradient Langevin Dynamics (SGLD) ensures strong guarantees with regards to convergence in measure for sampling log-concave posterior distributions by adding noise to stochastic gradient iterates. Given the size of many practical problems, parallelizing across several asynchronously running processors is a popular strategy for reducing the ...
Vyacheslav Kungurtsev +2 more
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Integrated AI and Innovation Management: The Beginning of a Beautiful Friendship
Technology Innovation Management Review, 2020 There is a growing consensus around the transformative and innovative power of Artificial Intelligence (AI) technology. AI will transform which products are launched and how new business models will be developed to support them.
Nina Bozic Yams +4 more
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Materials Research Express, 2021 00Cr12Ni9Mo4Cu2 is an ultra- high strength, maraging stainless steel. Optical microscopy, microhardness measurement, scanning electron microscopy (SEM), and transmission electronic microscopy (TEM) were used to quantitatively investigate the effect of ...
Y Z Zhu +5 more
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The Importance of Data Reliability and Usability When Assessing Impacts of Marine Mineral Oil Spills
Toxics, 2021 Spilled mineral oils in the marine environment pose a number of challenges to sampling and analysis. Mineral oils are complex assemblages of hydrocarbons and additives, the composition of which can vary considerably depending on the source oil and ...
A. Dallas Wait
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Ambient ozone and asthma hospital admissions in Texas: a time-series analysis
Asthma Research and Practice, 2017 Background Many studies have evaluated associations between asthma emergency department (ED) visits, hospital admissions (HAs), and ambient ozone (O3) across the US, but not in Texas.
Julie E. Goodman +5 more
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Asymmetric (Hot, Warm, Cold, Cryo) Rolling of Light Alloys: A Review
Metals, 2021 Asymmetric sheet rolling is a process used when there are differences in any technological parameters in the horizontal plane across the width of the deformation zone or in the vertical plane between the top and bottom surfaces of the deformation zone ...
Denis Pustovoytov +2 more
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