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Encyclopedia > Area under the curve
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area under the curve: AUC means "area under the curve". This is the area under the concentration time curve. Wikipedia Logo File links The following pages link to this file: Talk:Amino acid Australian Army Boxing Bioterrorism Brick Broadway (Manhattan) Geography of Canada Transportation in Chile Confucius Colorado Rockies Origins beliefs Democracy Document Type Definition Equuleus East Slavic languages Flanders Fifth Monarchy Men Grenada Geyser Harry Potter Information explosion...


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Integral (346 words)
Formulating the area under a curve is the first step toward developing the concept of the integral.
The area under the curve formed by plotting function f(x) as a function of x can be approximated by drawing rectangles of finite width and height f equal to the value of the function at the center of the interval.
Area examples with simple geometry can reinforce the idea of the integral as the area under a curve.
Computing deviation of area under the precision-recall curve (442 words)
We have rotated the curve so that the x-axis is precision and the y-axis is recall (this does not affect the area under the curve).
The curve can thus be viewed as a set of trapezoids, the area of which is an approximation to the area under the true precision recall curve (with the approximation becoming better as more thresholds are employed).
Notice that, since the scale for prevision and recall are 0 to 1, the area under the curve is simply the weighted average height of the trapezoids, where the weight is the width of each trapezoid.
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