Mathematics, 18.11.2019 23:31 amaljiiju5022
Weighted least squares. in least squares, the objective (to be minimized) is kax bk2 = xm i=1 (~ati x bi)2; where ~ati are the rows of a, and the n-vector x is to chosen. in the weighted least squares problem, we minimize the objective xm i=1 wi(~ati x bi)2; where wi are given positive weights. the weights allow us to assign di erent weights to the di erent components of the residual vector. (the objective of the weighted least squares problem is the square of the weighted norm, kax bk2 w, as de ned in exercise 3.28.) (a) show that the weighted least squares objective can be expressed as kd(ax b)k2 for an appropriate diagonal matrix d. this allows us to solve the weighted least squares problem as a standard least squares problem, by minimizing kbx dk2, where b = da and d = db. (b) show that when a has linearly independent columns, so does the matrix b. (c) the least squares approximate solution is given by ^x = ( b. give a similar formula for the solution of the weighted least squares problem. you might want to use the matrix w = diag(w) in your formula.
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Mathematics, 21.06.2019 16:30
The sales tax rate is 7.25%. how much tax in dollars is added on an item that costs $56.00? a. $4.06 b. $7.25 c. $14.50 d. $60.06
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Mathematics, 21.06.2019 22:00
Aschool had an election where the candidates received votes in the ratio 1: 2: 3. if the winning candidate received 210 votes, how many total people voted in the election?
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Mathematics, 21.06.2019 23:40
Agrid shows the positions of a subway stop and your house. the subway stop is located at (-5,2) and your house is located at (-9,9). what is the distance, to the nearest unit, between your house and the subway stop?
Answers: 1
Weighted least squares. in least squares, the objective (to be minimized) is kax bk2 = xm i=1 (~ati...
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