TSdist (version 3.7.1)

example.database2: Example synthetic database with series belonging to different classes.

Description

Example synthetic database with series belonging to 6 different classes.

Usage

data(example.database2);

Format

example.database2 a list conformed of the following two elements:

• data The 100 time series are stored in a numeric matrix, row-wise.

• classes A numerical vector of length 100 that takes values in {1,2,3,4,5,6}. Each element in the vector represents the class of one of the series.

Details

example.database2 is a database conformed of 100 series of length 100 obtained from 6 different classes. Each class is represented by the following function:

The class to which each series belongs is given in the classes vector.

• Class 1: random function

  $$f1(t)=80+r(t)+n(t)$$

• Class 2: periodic function

  $$f2(t)=80+15\sin(\frac{2\pi t + sh}{T})+n(t)$$

• Class 3: increasing linear trend

  $$f3(t)=f_3(t)=80+0.4t+n(t)+sh$$

• Class 4: decreasing linear trend

  $$f4(t)=80-0.4t+n(t)+sh$$

• Class 5: piecewise linear function which takes a value of \(80+n(t)\) for the first L/2+sh of the series and a value of \(90+n(t)\) for the rest of the points.

• Class 6: piecewise linear function which takes a value of \(90+n(t)\) for the first L/2+sh of the series and a value of \(80+n(t)\) for the rest of the points.

  \(r(t)\) is a random value issued from a \(N(0,3)\) distribution, \(L\) is the length of the series, 100 in this case, and \(T\) is the period and is defined as a third of the length of the series. \(n(t)\) is a random noise obtained from a \(N(0,2.8)\) distribution.. Finally, \(sh\) is an integer value that takes a random value between \((-7,7)\) and shifts the series sh positions to the right or left, depending on the sign.

Examples

data(example.database2);


##  The "data" element of the list contains the time series, set in a row-wise format.

plot(example.database2$data)[1,]

##  The "classes" element in example.database2 contains the classes of the series: 

example.database2$classes