This problem is looking hard to solve with classical machine learning methods, even for deep neural networks
so, the idea is to predict next element in the following sequence 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0x6 1 0x7 1 ... 1 0xN
What is the suitable method(if it exists so far) to solve this problem?
You should take a look at LSTM's (Long Short Term Memory) . They are specifically designed for doing predictive classifications by processing multiple sequences of data. Here is a great Medium post that provides an introduction to LSTM's and a short example.
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