👉 In mathematics, an "oversmoothly" refers to a function that is not smooth. In other words, it has many high points but few low points. For example, consider the function \( f(x) = \sin(\frac{\pi}{2}x) \) over the interval \( [0, 1]\). This function has many points of high frequency and low frequency, making it not smooth. However, if we zoom in on any one point within this range,
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What is the definition of Oversmooth? 🙋
👉 In mathematics, an oversmooth function is a function that becomes arbitrarily close to or equal to its value at a particular point. This means that as x approaches a certain number from either side of the input point (x1), y1), the output of the function approaches the value of y1.
An example would be the function f(x) = 2x, where as x approaches 0, f(x) becomes arbitrarily close to 2
0=0. This is an
What is the definition of Oversmoothness? 🙋
👉 In mathematical analysis, oversmoothness refers to a phenomenon where a function exhibits an excessive degree of smoothness or perfection, making it difficult for any small change in input values to produce meaningful output. This can occur due to errors in data collection, measurement, or processing, as well as the presence of outliers or extreme values in the dataset. In other words, oversmoothness is a term used in statistics and machine learning to describe how a function behaves when it approaches a certain value,
