Machine Learning Unit 1: Designing a Learning System:Step 4-Choosing function approximation (Part 1)
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Machine Learning Unit 1: Designing a Learning System:Step 4-Choosing function approximation (Part 1)
Machine Learning Unit 1: Designing a Learning System:Step 4-Choosing function approximation (Part 1)
7K viewsMay 27, 2022
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SOLVED:A different kind of approximation When approximating a function f using a Taylor polynomial, we use information about f and its derivative at one point. An alternative approach (called interpolation) uses information about f at several different points. Suppose we wish to approximate f(x)=sinx on the interval [0, π]. a. Write the (quadratic) Taylor polynomial p2 for f centered at π/ 2. b. Now consider a quadratic interpolating polynomial q(x)=a x^2 b x c . The coefficients a, b, and c are
SOLVED:A different kind of approximation When approximating a function f using a Taylor polynomial, we use information about f and its derivative at one point. An alternative approach (called interpolation) uses information about f at several different points. Suppose we wish to approximate f(x)=sinx on the interval [0, π]. a. Write the (quadratic) Taylor polynomial p2 for f centered at π/ 2. b. Now consider a quadratic interpolating polynomial q(x)=a x^2 b x c . The coefficients a, b, and c are
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