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lme4 convergence warnings & model notation

Dear list readers and R enthusiasts,

I'm a master student working on a project about forecasting in the retail sector, using mixed effect models with the lme4 package.

Currently, I am dealing with 2 challenges which I would like to overcome.

(1) I am dealing with convergence warnings, which I am not sure how to interpret or overcome.
(2) I am not entirely sure if my model formulation is correct.

I would kindly like to guide you to my StackExchange post where I formulated and formatted my formulas, R output warnings, and model setup in detail for easier readability.

https://stats.stackexchange.com/questions/282719/convergence-errors-random-slope-notation
[https://cdn.sstatic.net/Sites/stats/img/apple-touch-icon at 2.png?v=344f57aa10cc]<https://stats.stackexchange.com/questions/282719/convergence-errors-random-slope-notation>

r - Convergence errors & Random slope notation - Cross Validated<https://stats.stackexchange.com/questions/282719/convergence-errors-random-slope-notation>
stats.stackexchange.com
The basic idea of my research is that I am replacing the independent variable "article" with the attributes of the article such as its brand or if it is glutenfree (gf) etc. to forecast future unit...

Best regards,
Raphael