Published on: 2025-06-29 23:35:21
This is a post about multiplying polynomials, convolution sums and the connection between them. Multiplying polynomials Suppose we want to multiply one polynomial by another: \[(3x^3+x^2+2x+1)\cdot(2x^2+6)\] This is basic middle-school math - we start by cross-multiplying: \[6x^5+2x^4+4x^3+2x^2+18x^3+6x^2+12x+6\] And then collect all the terms together by adding up the coefficients: \[6x^5+2x^4+22x^3+8x^2+12x+6\] Let's look at a slightly different way to achieve the same result. Instead
Keywords: coefficient coefficients polynomial polynomials second
Find related items on AmazonPublished on: 2025-08-15 16:49:55
A myth When fitting a non-linear model using linear regression, we typically generate new features using non-linear functions. We also know that any function, in theory, can be approximated by a sufficiently high degree polynomial. This result is known as Weierstrass approximation theorem. But many blogs, papers, and even books tell us that high polynomials should be avoided. They tend to oscilate and overfit, and regularization doesn’t help! They even scare us with images, such as the one belo
Keywords: basis function model polynomial polynomials
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