MINIMAX ESTIMATES OF THE LOSS FUNCTION BASED ON INTEGRAL ERROR PROBABILITIES DURING THRESHOLD PROCESSING OF WAVELET COEFFICIENTS

The bulk loss function Im(-l/ε (ω)), a well established tool for the interpretation of valence loss spectra, is being progressively adapted to the wide variety of inhomogeneous samples of interest to the electron microscopist. Proportionality between n, the local valence electron density, and ε-1 (Sellmeyer's equation) has sometimes been assumed but may not be valid even in homogeneous samples. Figs. 1 and 2 show the experimentally measured bulk loss functions for three pure silicates of different specific gravity ρ - quartz (ρ = 2.66), coesite (ρ = 2.93) and a zeolite (ρ = 1.79). Clearly, despite the substantial differences in density, the shift of the prominent loss peak is very small and far less than that predicted by scaling e for quartz with Sellmeyer's equation or even the somewhat smaller shift given by the Clausius-Mossotti (CM) relation which assumes proportionality between n (or ρ in this case) and (ε - 1)/(ε + 2). Both theories overestimate the rise in the peak height for coesite and underestimate the increase at high energies.

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Forecasting in the Presence of an Asymmetric Loss Function

PsycEXTRA Dataset ◽

10.1037/e616342011-036 ◽

1991 ◽

Author(s):

Michael Lawrence ◽

Peter Ayton

Keyword(s):

Loss Function ◽

Asymmetric Loss ◽

Asymmetric Loss Function

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The Software «MMI–calibration 3.0»

Metrologiya ◽

10.32446/0132-4713.2020-3-16-24 ◽

2020 ◽

pp. 16-24

Author(s):

Alexandr D. Chikmarev

Keyword(s):

Power Series ◽

Data Processing ◽

Statistical Treatment ◽

Correction Function ◽

Calibration Function ◽

Measuring Instrument ◽

Working Standard ◽

Calibration Protocol ◽

Error Probabilities ◽

Continuous Power

A single program has been developed to ensure that the final result of the data processing of the measurement calibration protocol is obtained under normal conditions. The calibration result contains a calibration function or a correction function in the form of a continuous sedate series and a calibration chart based on typical additive error probabilities. Solved the problem of the statistical treatment of the calibration protocol measuring in normal conditions within a single program “MMI–calibration 3.0” that includes identification of the calibration function in a continuous power series of indications of a measuring instrument and chart calibration. An example of solving the problem of calibration of the thermometer by the working standard of the 3rd grade with the help of the “MMI-calibration 3.0” program.

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Automatic accounting of Baikal diatomic algae: approaches and prospects

Issues of modern algology (Вопросы современной альгологии) ◽

10.33624/2311-0147-2019-2(20)-295-299 ◽

2019 ◽

pp. 295-299

Author(s):

Кonstantin А. Elshin ◽

Еlena I. Molchanova ◽

Мarina V. Usoltseva ◽

Yelena V. Likhoshway

Keyword(s):

Object Detection ◽

Loss Function ◽

Classification Accuracy ◽

Diatom Species ◽

Bounding Box ◽

Synedra Acus ◽

And Training

Using the TensorFlow Object Detection API, an approach to identifying and registering Baikal diatom species Synedra acus subsp. radians has been tested. As a result, a set of images was formed and training was conducted. It is shown that аfter 15000 training iterations, the total value of the loss function was obtained equal to 0,04. At the same time, the classification accuracy is equal to 95%, and the accuracy of construction of the bounding box is also equal to 95%.

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