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Polynomial Chaos is a method used to construct surrogate models by summing combinations of carefully chosen polynomials.
A vast number of recent studies have constructed genetic risk score models by summing up numerous independently inherited susceptible variants for T2D to evaluate the predictive ability from the current genetic information.
Once the models are sorted in decreasing order, we can obtain a confidence set of models by summing the weights from the largest to the lowest until the sum is (1-α) where α is the significance level.
In addition, the overall percentage of variance explained by life-course area was calculated from the cross-classified models by summing area variance for all 3 study years and dividing by the total variance.
Decision curve analysis estimates a 'net benefit' for prediction models by summing the benefits (true positives) and subtracting the harms (false positives), where the latter is weighted by a factor so as to reflect the relative harm of a missed cancer compared with an unnecessary biopsy.
In this way, we can easily compute the difference for model i: In turn, these differences can be used to obtain the relative weight of any model of R models: Given that the sum of weights for all models add to 1, it is easy to establish an approximate confidence set of models by summing the weights from largest to smallest until the sum reaches the desired threshold.
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The total energy loss was modeled by summing over the scattering order.
Okamura et al.[1] and Simone et al.[2] elucidated, from an experiment using a cow liver, that the force acting on a needle can be modeled by summing the friction force, the cutting force, and the stiffness force.
Further, higher order contacts could not typically be modeled by summing up the component pairwise contacts [ 12, 16].
As the disease notification data were spatially referenced according to postcode of residence, the spatial structure of the data was incorporated in the model by summing reported cases for each postcode area and any cases reported among its nearest neighbours.
This method estimates the "net benefit" of using a prediction model by summing the benefits (true positives) and subtracting the harms (false positives), where the latter is weighted by a factor related to the relative harm of a missed cancer compared to an unnecessary biopsy.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com