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# Questions tagged [linear-regression]

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19 questions
25 views

### how to filter measurement noise out of a set of data [migrated]

I need to find the best way to filter white noise from a set of data $(x_0,y_0),...,(x_n,y_n)$, $n>1000$, where $x:\text{ is a time variable}$ $y:\text{ is a physical quantity}$ The noise is ...
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### matrix regression under side conditions

I want to solve the folowing problem B*M=V, where B is the unknown of size 3x3, M of size 3xN and V of size 3xN. The difficulty is, that B has to be unitary. N is in the range of 500. All matrices ...
80 views

### A different objective function in liner regression analysis

I'm an undergraduate student who is green in statistics. I have a problem in the chose of objective function when estimating the parameters. Let $Y = \beta^TX + \epsilon$ be the standard liner ...
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I need to clarify some idea I have in my mind about linear and non-linear regressions. Whatever I now about this topic comes from the book of Taylor "Introduction to error analysis": a set of ...
57 views

### Posterior consistency of non linear model

This is possibly a reference request. Let $G$ : $\mathbb{R}^p \to \mathbb{R}^q$ be a continuous injective/bijective function. Let $\mu$(we may also assume this to be a non degenerate Gaussian) be ...
130 views

### Derivation of gradient of SSE in Geodesic Regression

On page 79 (or page 5) of this this paper the gradient of the SSE of the Geodesic model is described explicitly. My question is how are these equitations derived in detail; where can I find the ...
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I have a matrix which is similar to Vandermonde matrix except that the entries are monomials of degree $d$ polynomial in 2 variables. Each row has the following form: $X_{i}= [1, x_{i}, y_{i}, x_{i}^... 0answers 219 views ### Is there an efficient way to compute the “complete subset regression”? Background: Let$X \in \mathbb{R}^{N\times K}$and$y \in \mathbb{R}^{N\times 1}$be data for a regression problem. The aim is to find$\beta \in \mathbb{R}^{K\times 1}$such that$X\beta \approx y$... 1answer 132 views ### Checking the intersection of two sets Let$E\subset{\mathbb R}^n$be a set of the type$I_1\times \dots \times I_n$, where$I_k$are real intervals, and$X$be and$n\times p$real matrix. Suppose also that$rank(X)=p$and$n>p$. Is ... 1answer 225 views ### Fitting a quadratic using regression when the y-intercept needs to be 0 [closed] I'm trying to fit a quadratic$a_0 + a_1x + a_2x^2$by Polynomial Regression:$\$ \begin{pmatrix} n & \Sigma x_i & \Sigma x_i\\ \Sigma x_i & \Sigma x_i^2 & \Sigma x_i^3\\ \Sigma ...

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