cornerSort {CAMTHC} | R Documentation

## Candidate combinations as corners

### Description

Given a set of data points, return possible combinations of data points as corners. These combinations are selected by ranking the sum of margin-of-errors.

### Usage

    cornerSort(X, K, nComb)

### Arguments

`X` | Data in a matrix. Each column is a data point.
`K` | The number of corner points.
`nComb` | The number of returned combinations of data points as corners. All combinations will be returned if the number of all combinations is less than nComb.

### Details

This function is to detect K corner points from M data points by conducting an exhaustive combinatorial search (with total C_M^K combinations), based on a convex-hull-to-data fitting criterion: sum of margin-of-errors. `nComb` combinations are returned for further selection based on reconstruction errors of all data points in original space.

The function is implemented in Java with R-to-Java interface provided by `rJava` package. It relies on NonNegativeLeastSquares class in Parallel Java Library (https://www.cs.rit.edu/~ark/pj.shtml).

### Value

A list containing the following components:

`idx` | A matrix to show the indexes of data points in combinations to construct a convex hull. Each column is one combination.
`error` | A vector of margin-of-error sums for each combination.

### Examples

    data <- matrix(c(0.1,0.2,1.0,0.0,0.0,0.5,0.3,
                     0.1,0.7,0.0,1.0,0.0,0.5,0.3,
                     0.8,0.1,0.0,0.0,1.0,0.0,0.4), nrow =3, byrow = TRUE)
    topconv <- cornerSort(data, 3, 10)

[Package CAMTHC version 1.6.0 Index]