2018
DOI: 10.1186/s13660-018-1856-y
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Error analysis for l q $l^{q}$ -coefficient regularized moving least-square regression

Abstract: We consider the moving least-square (MLS) method by the coefficient-based regression framework with -regularizer and the sample dependent hypothesis spaces. The data dependent characteristic of the new algorithm provides flexibility and adaptivity for MLS. We carry out a rigorous error analysis by using the stepping stone technique in the error decomposition. The concentration technique with the -empirical covering number is also employed in our study to improve the sample error. We derive the satisfactory le… Show more

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Cited by 14 publications
(17 citation statements)
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“…[50,53] Thus, based on the EDL mechanism, short-term synaptic plasticity can be mimicked on EDLTs. [54][55][56][57][58] Meantime, electrochemical doping/de-doping can also cause ionic species to trap in the channel and lead to the long-term changes in channel conductances. Thus, the electrochemical doping/dedoping mechanism in ECTs is similar to the long-term changes in the synaptic weights.…”
Section: Synaptic Plasticity Mimicked On Ionotronic Transistorsmentioning
confidence: 99%
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“…[50,53] Thus, based on the EDL mechanism, short-term synaptic plasticity can be mimicked on EDLTs. [54][55][56][57][58] Meantime, electrochemical doping/de-doping can also cause ionic species to trap in the channel and lead to the long-term changes in channel conductances. Thus, the electrochemical doping/dedoping mechanism in ECTs is similar to the long-term changes in the synaptic weights.…”
Section: Synaptic Plasticity Mimicked On Ionotronic Transistorsmentioning
confidence: 99%
“…Recently, biocompatible transparent starch-gated oxide neuromorphic transistors were proposed to simulate the PTP behavior. [57] Figure 4d shows the simulated PTP behavior triggered by five repeated presynaptic spikes (0.5 V, 10 ms) at 10 Hz with the V ds of 0.3 V. The PPF gain (A 2 /A 1 ) is lower than the PTP gain (A 5 /A 1 ), i.e., 1.36 vs 1.81. The behavior is similar to the biological PTP phenomenon.…”
Section: Short-term Synaptic Plasticitymentioning
confidence: 99%
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“…Conventional methods to make white light-emitting diodes (WLEDs) consist of the combination of a blue emitting InGaN chip with the Y 3 Al 5 O 12 :Ce 3+ phosphor. [5,6] In recent years, trivalent and divalent rare earth ion-doped inorganic phosphors have been paid significant attention because of their potential application in environmentally friendly light-emitting diodes. [7][8][9] White light-emitting diodes are considered to be the third generation of solid-state lighting technology due to their advantages over traditional light technology such as superior colour uniformity, low energy consumption (less CO 2 exhaustion), environmental friendliness, long lifetime and high colour rendering index (CRI) values.…”
mentioning
confidence: 99%