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Least-squares over the unit simplex

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#optimization #convex-optimization #least-squares #constraints #quadratic-programming
49
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Show $y^Ty-n^{-1}(\sum y_i)^2=y^T(I-n^{-1}1_n1_n^T)y=\sum(y_i-\bar y)^2$?

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#statistics #least-squares #linear-regression
172
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Find an exponential formula with two inputs and one output

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#interpolation #least-squares
1.6k
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Fitting a circle to a point set with gradient descent algorithm

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#optimization #circles #regression #least-squares #gradient-descent
205
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Constrained Linear Regression, how to find Regression SS?

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#statistics #regression #least-squares #sums-of-squares #linear-regression
1.2k
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Least Squares with Quadratic (Positive Definite) Constraint

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#convex-optimization #matlab #least-squares #constraints #quadratic-programming
1k
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Sum of Residuals equal to Zero

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#regression #least-squares #sums-of-squares #mean-square-error #cross-sections
452
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Constrained least squares

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#optimization #least-squares #constraints
326
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Show $\mathrm{cov}(E_i,E_j)=\sigma^2p_{ij}$ where $E_i=Y_i-\bar y - \hat\beta(x_i-\bar x)$

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#statistics #regression #covariance #least-squares
158
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Estimating $\beta_o$ and $\beta_1$ with Weighted Least Squares with Logit link

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#statistics #regression #estimation #least-squares
126
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How many different rectangles of maximum horizontal side K can be formed in an N x N grid?

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#combinatorics #permutations #least-squares #rectangles
54
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Find linear Least Squares with Quadratic Constraint

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#optimization #least-squares
3.1k
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Why is minimizing least squares equivalent to finding the projection matrix $\hat{x}=A^Tb(A^TA)^{-1}$?

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#calculus #linear-algebra #vector-spaces #regression #least-squares
264
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Constrained matrix least squares with a set of quadratic form constraints

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#optimization #least-squares
87
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Understanding last step of OLS estimator variance proof

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#linear-algebra #proof-explanation #least-squares #variance

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