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import { Matrix as MLMatrix, SingularValueDecomposition } from 'ml-matrix';
export const mds = (dimension, distances, linkDistance) => {
try {
// square distances
const M = MLMatrix.mul(MLMatrix.pow(distances, 2), -0.5);
// double centre the rows/columns
const rowMeans = M.mean('row');
const colMeans = M.mean('column');
const totalMean = M.mean();
M.add(totalMean).subRowVector(rowMeans).subColumnVector(colMeans);
// take the SVD of the double centred matrix, and return the
// points from it
const ret = new SingularValueDecomposition(M);
const eigenValues = MLMatrix.sqrt(ret.diagonalMatrix).diagonal();
return ret.leftSingularVectors.toJSON().map((row) => {
return MLMatrix.mul([row], [eigenValues])
.toJSON()[0]
.splice(0, dimension);
});
}
catch (_a) {
const res = [];
for (let i = 0; i < distances.length; i++) {
const x = Math.random() * linkDistance;
const y = Math.random() * linkDistance;
res.push([x, y]);
}
return res;
}
};
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