# Least-Square Solution

(Redirected from Least Squares Estimate)

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A Least-Square Solution is a fitted function the sum of the squares of point residuals is minimized.

**AKA:**Least Squares Estimate.**Context:**- It can (typically) be produced by a Least-Squares System (solving a least-squares task).
- It can range from being an Ordinary Least Squares Estimate to being a Regularized Least Squares Estimate.

**See:**Least Squares, Point Estimate.

## References

### 1977

- (Fried et al., 1977) ⇒ David Fried L. (1977). “Least-square Fitting a Wave-front Distortion Estimate to An Array of Phase-difference Measurements." JOSA 67, no. 3
- QUOTE: … These simultaneous equations represent a least-square fit of the instantaneous estimated wave-front distortion to the phase-difference measurements. With the least-square solution formulated in terms of Eq. (15), we …