Supervised Model-based Numeric-Value Prediction Task

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A Supervised Model-based Numeric-Value Prediction Task is a supervised numeric-value prediction task that is a model-based supervised learning task.



References

2011

  • http://en.wikipedia.org/wiki/Linear_least_squares_%28mathematics%29#Motivational_example
    • As a result of an experiment, four [math](x, y)[/math] data points were obtained, [math](1, 6),[/math] [math](2, 5),[/math] [math](3, 7),[/math] and [math](4, 10)[/math] (shown in red in the picture on the right). It is desired to find a line [math]y=\beta_1+\beta_2 x[/math] that fits "best" these four points. In other words, we would like to find the numbers [math]\beta_1[/math] and [math]\beta_2[/math] that approximately solve the overdetermined linear system [math]\begin{alignat}{3} \beta_1 + 1\beta_2 &&\; = \;&& 6 & \\ \beta_1 + 2\beta_2 &&\; = \;&& 5 & \\ \beta_1 + 3\beta_2 &&\; = \;&& 7 & \\ \beta_1 + 4\beta_2 &&\; = \;&& 10 & \\ \end{alignat}[/math] of four equations in two unknowns in some "best" sense.

2006