Extrema extraction¶
Time series extrema are the minimum and maximum values in time series data. It can be useful to compute aggregates of a time series around extrema values to understand trends around those values.
Extrema extraction recipe¶
The extrema extraction recipe allows you to extract aggregates of time series values around a global extremum (global maximum or global minimum).
Using this recipe, you can find a global extremum in one dimension of a time series and perform windowing functions around the timestamp of the extremum on all dimensions. See Windowing for more details about the windowing operations.
This recipe works on all numerical columns (int or float) in your time series data.
Input Data¶
Data that consists of equispaced n-dimensional time series in wide or long format.
If input data is in the long format, then the recipe will find the extremum of each time series in the column on which you operate. See Algorithms for more details.
Parameters¶
Time column¶
Name of the column that contains the timestamps. Note that the timestamp column must have the date type as its meaning (detected by DSS), and duplicate timestamps cannot exist for a given time series.
Long format checkbox¶
Indicator that the input data is in the long format. See Long format.
Time series identifiers¶
The names of the columns that contain identifiers for the time series when the input data is in the long format. This parameter is available when you enable the “Long format” checkbox. You can select one or multiple columns.
Find extremum in column¶
Name of column from which to extract the extremum value.
Extremum type¶
Type of extremum to find, specified as “Global minimum” or “Global maximum”.
Causal window¶
Option to use a causal window, that is, a window that contains only past (and optionally, present) observations. The timestamp for the extremum point will be at the right border of the window.
If you deselect this option, Dataiku DSS uses a bilateral window, that is, a window that places the timestamp for the extremum point at its center.
Shape¶
Window shape applied to the Sum and Average operations. The shape can take on one of these values:
Rectangular: simple rectangular window with a flat profile
Triangle: triangle window (with nonzero values at the endpoints)
Bartlett: triangle window (with zero values at the endpoints)
Gaussian: nonlinear window in the shape of a Gaussian distribution
Parzen: nonlinear window made of connected polynomials of the third degree
Hamming: nonlinear window generated as a sum of cosines (trigonometric polynomial of order 1)
Blackman: nonlinear window generated as a sum of cosines (trigonometric polynomial of order 2)
Width¶
Width of the window, specified as a numerical value (int or float).
The window width cannot be smaller than the frequency of the time series. For example, if your timestamp intervals equal 5 minutes, you cannot specify a window width smaller than 5 minutes.
Unit¶
Unit of the window width, specified as one of these values:
Years
Months
Weeks
Days
Hours
Minutes
Seconds
Milliseconds
Microseconds
Nanoseconds
Include window bounds¶
Edges of the window to include when computing aggregations. This parameter is active only when you use a causal window. Choose from one of these values:
Yes, left only
Yes, right only
Yes, both
No
Aggregations¶
Operations to perform on a window of time series data. Select one or more of these options:
Retrieve
Min
Max
Average
Sum
Standard deviation
25th percentile
Median
75th percentile
First order derivative
Second order derivative
Output Data¶
Data consisting of the results of extrema extraction, one row for each time series. Each row contains the timestamp of the extremum and the computed aggregations for a window of data around the extremum.
Algorithms¶
If the input data is in the wide format, the recipe works as follows:
Find the global extremum and corresponding timestamp for a specific column.
For all columns, apply a window around the timestamp and compute aggregations.
If the input data is in the long format, then the recipe implements slightly different steps, as follows:
Find the global extremum and corresponding timestamp for each time series in a specific column.
For all columns, apply a window around the timestamps found in step 1 and then compute aggregations.
Tips¶
If you have irregular timestamp intervals, first resample your data using the resampling recipe. Then you can apply the extrema extraction recipe to the resampled data.
The extrema extraction recipe works on all numerical columns of a dataset. To apply the recipe to select columns, you must first prepare your data by removing the unwanted columns.