I have a longitudinal dataset for 500 sensors reading at 25 time point.

I want to cluster those sensor readings at each time point , from T1 to T25

bur I want to know which cluster each sensor lies in at each time point in easier manner.

Assuming I have found 3 clusters in T1, and 2 in T2, is there a way to measure if sensors in cluster 1 T1 significantly similar to sensors in T2 cluster 1 and 2?

Another question, which machine learning clustering algorithm are good for my case? which one don’t require hyper parameter tuning ( like maybe defining the number of cluster ) ?

last, any visualisation method to print clusters per sensors by time ?

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