This is similar to linear regression but instead of having single dependent variable Y, we have multiple output variables. It may be written as,

Y = XB + U ,

where Y is a matrix with series of multivariate measurements (each column being a set of measurements on one of the dependent variables), X is a matrix of observations on independent variables that might be a design matrix (each column being a set of observations on one of the independent variables), B is a matrix containing parameters that are usually to be estimated. U is the regularisation factor.

Representing it in the old form,

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In 2020, the official Instagram API allow you to access only your own posts and not even public comments and posts on Instagram because of the rising privacy concerns from the users and frequent accusations of data-breach at many big companies including Facebook.

So, how to crawl public posts?

There’s still a workaround. It does provide an API which is publicly accessible.
Let’s try to hit this URL.

Eureka, it’s a JSON response:

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