The synthetic controls projection is based on demographic data and outcomes in demographically similar places.
Figure 6 Different simple configurations of the data association matrix and their corresponding synthetic vehicles projections (in blue ), and measurements (in red ).
They concoct what they call a "synthetic counterfactual", meaning a projection of how EU members' economies would have performed had they not joined the EU, by substituting data from non-member countries with similar economies.
To compare the apparent density differences in greater detail, we create projections of synthetic data with a wider variety of source types in Fig. 7 (Additional files 1, 2).
The dotted line, labeled "synthetic control unit," is a projection of what might have happened to Texas' violent crime rate had it not loosened its concealed-carry statute, based on a composite of demographically similar states.
To demonstrate the artifact at various frequencies and how well it can be mitigated by MUSIC, we test the back-projection on the synthetic USArray and European array seismograms of a M 6.2 aftershock with hypocenter location at 143.41°E, 38.32°N.
We applied MUSIC back-projection to the synthetic waveforms from double-source scenarios with a range of seismic moment ratios between the shallow and deep sources, and measured the ratio of shallow vs. deep MUSIC pseudo-spectrum peaks.
Projection 4 (industry attractiveness), 9 (synthetic material use) and 10 (recycled materials) are part of this group.
Based on geometry and density distributions of synthetic and real data, we favor the use of a conjugate hexagonal projection (d), spherical cylindrical projection (i), modified spherical cylindrical projection (j), or spherical cylindrical orthogonal projection (k).
Once the parameters of the random projection were estimated, they could be used to generate synthetic real-valued features from a stolen biohash which is another perceptron problem.
