ArticleSpringerPlus2016
Convergence of batch gradient learning with smoothing regularization and adaptive momentum for neural networks.
Article in SpringerPlus, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Strong convergence theorems for a common zero of a finite family of H-accretive operators in Banach space.SpringerPlus · 2016Article
- An efficient method for generalized linear multiplicative programming problem with multiplicative constraints.SpringerPlus · 2016Article
- Optimality condition and iterative thresholding algorithm for [Formula: see text]-regularization problems.SpringerPlus · 2016Article
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Authors and funding
3 authors.
Funding
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Abstract
This paper presents new theoretical results on the backpropagation algorithm with smoothing [Formula: see text] regularization and adaptive momentum for feedforward neural networks with a single hidden layer, i.e., we show that the gradient of error function goes to zero and the weight sequence goes to a fixed point as n (n is iteration steps) tends to infinity, respectively. Also, our results are more general since we do not require the error function to be quadratic or uniformly convex, and neuronal activation functions are relaxed. Moreover, compared with existed algorithms, our novel algorithm can get more sparse network structure, namely it forces weights to become smaller during the training and can eventually removed after the training, which means that it can simply the network structure and lower operation time. Finally, two numerical experiments are presented to show the characteristics of the main results in detail.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.