Exercises

Try to solve the following exercises in Python:

• Divide by hand the y axis for the 16 = 24 cardinality. Did you divide it into 16 areas or 17 areas? How many breakpoints did you use?
• Divide by hand the y axis for the 64 = 26 cardinality. Did you divide it into 64 areas?
• Use the cardinality.py utility to plot the breakpoints of the 16 = 24 cardinality.
• Use the cardinality.py utility to plot the breakpoints of the 128 = 2 7 cardinality.
• Find the SAX representation of the {0, 2, -1, 2, 3, 4, -2, 4} subsequence using 4 segments and a cardinality of 4 (2 2). Do not forget to normalize it first.
• Find the SAX representation of the {0, 2, -1, 2, 3, 4, -2, 4} subsequence using 2 segments and a cardinality of 2 (2 1). Do not forget to normalize it first.
• Find the SAX representation of the {0, 2, -1, 2, 3, 1, -2, -4} subsequence using 4 segments and a cardinality of 2.
• Given the {0, -1, 1.5, -1.5, 0, 1, 0} time series and a sliding window size of 4, find the SAX representation of all its subsequences using 2 segments and a cardinality of 2.
• Create a synthetic time series and process it using using_tsfresh.py.
• Create a synthetic time series with 1,000 elements and process it using histogram.py.
• Create a synthetic time series with 5,000 elements and process it using histogram.py.
• Create a synthetic time series with 10,000 elements and process it using counting.py.
• Create a synthetic time series with 100 elements and process it using percentiles.py.
• Create a synthetic dataset with 100 elements and examine it using counting.py.
• Modify histogram.py to save its graphical output in a PNG file.
• Plot a time series using histogram.py and then process it using using_tsfresh.py