5.2
... Since x, x 2 , x 3 are all in the same row, they are never multiplied in det V4 . The determinant is zero at x D a or b or c, so det V has factors .x $ a/.x $ b/.x $ c/. Multiply by the cofactor V3 . The Vandermonde matrix Vij D .xi /j !1 is for fitting a polynomial p.x/ D b at the points xi . It ha ...
... Since x, x 2 , x 3 are all in the same row, they are never multiplied in det V4 . The determinant is zero at x D a or b or c, so det V has factors .x $ a/.x $ b/.x $ c/. Multiply by the cofactor V3 . The Vandermonde matrix Vij D .xi /j !1 is for fitting a polynomial p.x/ D b at the points xi . It ha ...
Interval-valued Fuzzy Vector Space
... Abstract. The interval-valued fuzzy vector space with respect to the interval-valued fuzzy algebra is defined and ingestigated a lot of interesting properties. Each result is illustrated by a suitable exmaple. Keywords: Interval-valued fuzzy sets, interval-valued fuzzy vector space, subspace. AMS Ma ...
... Abstract. The interval-valued fuzzy vector space with respect to the interval-valued fuzzy algebra is defined and ingestigated a lot of interesting properties. Each result is illustrated by a suitable exmaple. Keywords: Interval-valued fuzzy sets, interval-valued fuzzy vector space, subspace. AMS Ma ...
Linear regression
... Regression task is a supervised learning task, i.e. ■ a training (multi)set T = {( x(1) , y(1) ), . . . , ( x(| T |) , y(| T |) )} is available, where Linear regression • Regression • Notation remarks • Train, apply • 1D regression • LSM • Minimizing J (w, T ) • Multivariate linear regression ...
... Regression task is a supervised learning task, i.e. ■ a training (multi)set T = {( x(1) , y(1) ), . . . , ( x(| T |) , y(| T |) )} is available, where Linear regression • Regression • Notation remarks • Train, apply • 1D regression • LSM • Minimizing J (w, T ) • Multivariate linear regression ...
