# Questions tagged [jacobian]

For statistical questions involving the Jacobian matrix (or determinant) of first partial derivatives. For purely mathematical questions about the Jacobian it is better to ask at math SE https://math.stackexchange.com/.

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### Relation between Covariance matrix and Jacobian in Nonlinear Least Squares

I saw that CovB = inv(J'*J)*MSE in a MATLAB documentation here at http://www.mathworks.com/help/stats/nlinfit.html However, I cant find any sources for the ...
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### Delta method with mix of continuous and discrete variables

This is my first question on Cross Validated so please bear with me if my question is lagging in any dimension. My question regards how to evaluate a Jacobian matrix when one variable is binary. I ...
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### Jacobian matrix in neural network

How do you calculate the Jacobian matrix using the results (weights and biases) of a neural network after training? I am working in MATLAB, if anyone has any code suggestions, that would be helpful as ...
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### Calculating a Weighted Standard Error of the Fit for Nonlinear Regression

I have a data set of $N$ points to which I have fit an equation of $n$ parameters $\theta_{1..n}$ such that $y_i \sim f(x_i; \theta_{1..n})$. These data $(x_{1..N},y_{1..N})$ have been provided with ...
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I have attached an image of the mathematical description of calculating the gradient for the cost function from Pytorch. 1.) Is $\vec{y}$ the output of the network? 2.) What is $v$ in terms of a ...
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### Is Covariance Matrix analogous to Jacobian Matrix?

In probability theory covariance matrix denote how each variable relates to other in a pairwise manner. So 1 would mean they are identical and 0 would mean they are independent and are not related. Is ...
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### Jacobian for function including cubic spline

I am trying to fit a measured spectrum with a linear combination of end-member spectra which are approximated by cubic spline functions ($f_1$ and $f_2$). I also need to incorporate terms that account ...