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Note that in the Gaussian case with a diagonal measurement error co-variance matrix, the trace of FIM is the squared gradient magnitude.
Note that even though we adopt the KL divergence to motivate the FIM, C̆encov's theorem states that the FIM is the unique Riemannian metric for the space of probability distributions under some mild conditions [16], and is therefore a general measure of the sensitivity of the parameterized outcome distribution around ({{lambda }}^{0}).
The FIM is the most sensitive evaluation to detect a small difference in outcome.
The FIM is the most widely accepted instrument to assess progress during inpatient rehabilitation and has been used to predict stroke rehabilitation outcomes [ 5, 28].
The purpose of the FIM is the measurement of the severity of the patient's disability and the outcomes of medical rehabilitation in patients.
One of the potential benefits of analysis by FIM is the possibility of classification of particulate matter using a range of statistical and image processing tools.
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Conclusion: Activities of daily living functioning, as measured by the motor portion of the FIM, was the strongest predictor of PCA use among people with SCI.
The studies included a wide range of disease-related impairment measures, as well as a variety of disability measures (Table 1), in which the Functional Independence Measure (FIM) was the most often used.
Experimental design principles can be applied to the problem at hand since the Fisher information matrices (FIMs) are the functions of the location parameters, namely the downrange and the crossrange.
The classical definition of identifiability requires the calculation of the rank of the Fisher Information Matrix (FIM) given by: (10) FIM = ∑ i = 1 NM 1 σ i 2 ∂ y i ∂ p T ∂ y i ∂ p If the FIM is full rank the parameters are considered identifiable [ 42].
From [39], we know that the complex FIM is given by the equation, E ∂ ln p ( y n ; h n ) ∂ h n ∗ ∂ ln p ( y n ; h n ) ∂ h n ∗ H = E E ∂ ln p ( y n | h n ) ∂ h n ∗ ∂ ln p ( y n | h n ) ∂ h n ∗ H | h n + E ∂ ln p ( h n ) ∂ h n ∗ ∂ ln p ( h n ) ∂ h n ∗ H. (B.1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com