Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Least absolute deviations (LAD), also known as Least Absolute Errors (LAE), Least Absolute Value (LAV), or the L1 norm problem, is a mathematical optimization technique similar to the popular least squares technique that attempts to find a function which closely approximates a set of data. In the simple case of a set of (x,y) data, the approximation function is a simple "trend line" in 2D Cartesian coordinates. The method minimizes the sum of absolute errors (SAE), or sum of "residuals" between points generated by the function and corresponding points in the data.

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