Colorado's Congressional districts and corresponding dual subgraphs

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Figure 1. Colorado precinct map and dual graph

Figure 2. Colorado's Congressional districts and corresponding dual...

Figure 3. A ReCom step (Figure 4 in [9]; used with permission.)

Figure 4. Sample plans from ReCom chain on 12 × 12 grid graph

Figure 5. Maximally and minimally compact seed plans for Flip chain on...

First steps towards quantifying district compactness in the ReCom sampling method

Preprint

Full-text available

Mar 2021

Ensemble analysis has become an important tool for analyzing and quantifying gerrymandering; the main idea is to generate a large, random sample of districting plans (an "ensemble") to which any proposed plan may be compared. If a proposed plan is an extreme outlier compared to the ensemble with regard to various redistricting criteria, this may in...

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... districting plan is then represented by a partition of the dual graph into connected subgraphs, one for each district. (See Figure 2.) ...

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The probability density function of the SAL distribution.

The input data (scheduling variable) and output data.

The comparison of estimated parameters with true parameters.

Robust LPV models identification approach based on shifted asymmetric Laplace distribution

Article

Full-text available

Nov 2021

This paper focuses on the robust parameters estimation algorithm of linear parameters varying (LPV) models. The classical robust identification techniques deal with the polluted training data, for example, outliers in white noise. The paper extends this robustness to both symmetric and asymmetric noise with outliers to achieve stronger robustness....

Colorado's Congressional districts and corresponding dual subgraphs

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