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How can I model to predict decay trend based on intial 5 equally spaced rate of changes at 1 minute interval?

I have 30 decaying traces. Each of them has slight different rate of change. I want to model (classical or RNN) based on 5 initial rate of changes after every 1 minute. So I have R1,R2,R3,R4,R5 till first 5 minutes, and then want to predict the rest of the decaying trace. For training we can use whole traces, at inference time the input will be 5 rates. What are the possible ways to model this?