2016
DOI: 10.1016/j.neucom.2015.11.024
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Stochastic gradient based extreme learning machines for stable online learning of advanced combustion engines

Abstract: In this article, a stochastic gradient based online learning algorithm for Extreme Learning Machines (ELM) is developed (SG-ELM). A stability criterion based on Lyapunov approach is used to prove both asymptotic stability of estimation error and stability in the estimated parameters suitable for identification of nonlinear dynamic systems. The developed algorithm not only guarantees stability, but also reduces the computational demand compared to the OS-ELM approach [1] based on recursive least squares. In ord… Show more

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Cited by 44 publications
(28 citation statements)
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“…The analysis of the stability is divided into two steps. At the end, having been extracted L 2 gains, the largest gain is obtained as the L 2 gain of system (15)- (16). Therefore, the whole system (15)-(16) would be output strictly passive.…”
Section: Belm Stabilitymentioning
confidence: 99%
See 2 more Smart Citations
“…The analysis of the stability is divided into two steps. At the end, having been extracted L 2 gains, the largest gain is obtained as the L 2 gain of system (15)- (16). Therefore, the whole system (15)-(16) would be output strictly passive.…”
Section: Belm Stabilitymentioning
confidence: 99%
“…Therefore, the whole system (15)-(16) would be output strictly passive. In the second step, the L 2 finite-time stability for each (19) and (20) is proved by considering (16) as the output. At the end, having been extracted L 2 gains, the largest gain is obtained as the L 2 gain of system (15)- (16).…”
Section: Belm Stabilitymentioning
confidence: 99%
See 1 more Smart Citation
“…[21,22]. Other popular passive technologies rely on online learning schemes, in particular online gradient descent, which has been incorporated into drift learning strategies for the simple perceptron, neural networks, or extreme learning machines, as an example [23,24]. The behavior of such models varies extensively across different learning scenarios [11].…”
Section: Models Of On-line Learning Under Concept Driftmentioning
confidence: 99%
“…It has been suggested 7 that relatively simple models can effectively capture highly complex and structured problems when they are trained on very large data sets. For solving large-scale regression problems 1 feed-forward neural network model with simple architecture and training phase is the extreme learning machine (ELM) introduced by Huang et al 8 ELM has randomly generated hidden neurons and has shown its good performance and fast speed in numerous applications surveyed by Huang et al [9][10][11] ELM-based algorithms have several variations like the error minimized ELM (EM-ELM), 12 the online sequential fuzzy ELM, 13 the optimally pruned ELM, 14 the ridge regression ELM, 15 the regularized basic ELM, 16 the bidirectional ELM, 17 the weighted ELM 18 for imbalanced data, the random projection-based ELM, 19 the multitask ELM for visual tracking, 20 the stochastic gradient-based ELM (SG-ELM), 21 and others.…”
Section: Introductionmentioning
confidence: 99%