Best Basis Selection for Approximation in L p

DeVore, Ronald A.; Petrova, Guergana; Temlyakov, Vladimir

doi:10.1007/s10208-002-0056-8

Cited by 15 publications

(1 citation statement)

References 23 publications

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“…It is worth noting that in a normal electrolysis cell, the current uctuation in the high potential region due to gas diffusion is alleviated in the H-type electrolysis cell. 56,57 More importantly, a negligible increase in cell voltage can be observed aer 100 h durability test at a large current density of 500 mA cm −2 (Fig. 4c).…”

Section: Synthesis and Structural Characterizationmentioning

confidence: 92%

Ultralow-iridium content NiIr alloy derivative nanochain arrays as bifunctional electrocatalysts for overall water splitting

et al. 2023

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Section: Synthesis and Structural Characterizationmentioning

confidence: 92%

Ultralow-iridium content NiIr alloy derivative nanochain arrays as bifunctional electrocatalysts for overall water splitting

et al. 2023

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Analysis of aggregated functional data from mixed populations with application to energy consumption

et al. 2016

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Understanding the energy consumption patterns of different types of consumers is essential in any planning of energy distribution. However, obtaining consumption information for single individuals is often either not possible or too expensive. Therefore, we consider data from aggregations of energy use, that is, from sums of individuals' energy use, where each individual falls into one of C consumer classes. Unfortunately, the exact number of individuals of each class may be unknown: consumers do not always report the appropriate class, due to various factors including differential energy rates for different consumer classes. We develop a methodology to estimate the expected energy use of each class as a function of time and the true number of consumers in each class. We also provide some measure of uncertainty of the resulting estimates. To accomplish this, we assume that the expected consumption is a function of time that can be well approximated by a linear combination of B-splines. Individual consumer perturbations from this baseline are modeled as B-splines with random coefficients. We treat the reported numbers of consumers in each category as random variables with distribution depending on the true number of consumers in each class and on the probabilities of a consumer in one class reporting as another class. We obtain maximum likelihood estimates of all parameters via a maximization algorithm. We introduce a special numerical trick for calculating the maximum likelihood estimates of the true number of consumers in each class. We apply our method to a data set and study our method via simulation.

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A penalized nonparametric method for nonlinear constrained optimization based on noisy data

2008

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Best Basis Selection for Approximation in L p

Cited by 15 publications

References 23 publications

Ultralow-iridium content NiIr alloy derivative nanochain arrays as bifunctional electrocatalysts for overall water splitting

Ultralow-iridium content NiIr alloy derivative nanochain arrays as bifunctional electrocatalysts for overall water splitting

Analysis of aggregated functional data from mixed populations with application to energy consumption

A penalized nonparametric method for nonlinear constrained optimization based on noisy data

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