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Hence robust optimization does not require any probabilistic information.
The proposed methodology does not require any probabilistic information on uncertain input parameters.
This linkage is deterministic and does not require any probabilistic methods.
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In addition, PLS is an algorithm, while epidemiological study designs are often outcome-dependent and methods to analyze such data require a probabilistic formulation.
Alternatively, model-based methods such as Bayesian clustering are able to overcome these drawbacks, but require a probabilistic model of data generation and are usually computationally demanding.
A statistical assessment of π, including a quantification of uncertainty, requires a probabilistic model for x.
Because grounding accidents are rare events and data is sparse, their analysis requires a probabilistic approach.
In contrast to ductile fracture, brittle fracture requires a probabilistic fracture mechanics approach.
ADS planning requires a probabilistic representation of customers' daily load profiles to take account of uncertainties that characterize their behavior.
However, the existence of uncertainties, such as manufacturing tolerances, material properties, and environmental loads, requires a probabilistic optimization technique.
Furthermore, the assessment of RC constructions, especially of existing ones, is concerned with inevitable high uncertainties about geometry, material properties, applied loads and damage state, thus requiring a probabilistic approach for a reliable evaluation of the present and future performance.
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