Prediction of model uncertainty

In what follows, we illustrate the general mathematical strategy of Data Collaboration using as an example our main problem, that of model prediction [69] given a dataset comprised of Ny dataset units (i.e., Ad quadratic models S with the respective coefficient matrices M,), obtain a prediction interval for an arbitrary quadratic model sq. The computational problem we thus focus on is an indefinite quadratic program for X = [xi, X2. x ] e R , 

Although the SOS relaxations apply to the original problem in (24), they are more easily described for a modified feasibility problem given nxn symmetric matrices Mq, Mi,. .., determine if the relation 

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