A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Fitting of nonnegative physical models based on statistical divergence: application to thermally stimulated depolarization currents
We propose a theoretical formalism for inferring the parameters of non-negative physical models via statistical divergence to generalise the fitting process beyond conventional methods. For example, we show that minimising L2 and Kullback–Leibler divergence is equivalent to least squares and maximum likelihood estimation, respectively, for the parameters of non-negative physical models like a probability distribution. To demonstrate this formalism, parameters were estimated in a theoretical model of the thermally stimulated depolarisation current (TSDC), which has a non-negative but complex exponential form. Some technical aspects were also discussed as key points to enable high-throughput fitting of multimode models of TSDC using the proposed formalism, such as the use of the peak temperature as a fitting parameter, which is easily estimated from measured data, instead of a pre-exponential factor that varies by orders of magnitude, and the use of the generalised exponential integral function to speed up the fitting algorithm.
Fitting of nonnegative physical models based on statistical divergence: application to thermally stimulated depolarization currents
We propose a theoretical formalism for inferring the parameters of non-negative physical models via statistical divergence to generalise the fitting process beyond conventional methods. For example, we show that minimising L2 and Kullback–Leibler divergence is equivalent to least squares and maximum likelihood estimation, respectively, for the parameters of non-negative physical models like a probability distribution. To demonstrate this formalism, parameters were estimated in a theoretical model of the thermally stimulated depolarisation current (TSDC), which has a non-negative but complex exponential form. Some technical aspects were also discussed as key points to enable high-throughput fitting of multimode models of TSDC using the proposed formalism, such as the use of the peak temperature as a fitting parameter, which is easily estimated from measured data, instead of a pre-exponential factor that varies by orders of magnitude, and the use of the generalised exponential integral function to speed up the fitting algorithm.
Fitting of nonnegative physical models based on statistical divergence: application to thermally stimulated depolarization currents
Yasunobu Ando (author) / Shusuke Kasamatsu (author) / Suguru Iwasaki (author) / Yumi Tanaka (author)
2025
Article (Journal)
Electronic Resource
Unknown
Metadata by DOAJ is licensed under CC BY-SA 1.0
Thermally Stimulated Depolarization Current
| British Library Online Contents | 2000
| British Library Online Contents | 1998
| British Library Online Contents | 2001
Thermally Stimulated Depolarization Current in 3 Mol% Yttria-Doped Zirconia
| British Library Online Contents | 2014
Thermally stimulated depolarization current in AS~2S~3-PbS glasses
| British Library Online Contents | 1993