nonlinPred: Nonlinear prediction

In tatters/soundgen: Sound Synthesis and Acoustic Analysis

Nonlinear prediction

Description

Predicts new points in a time series. The functionality is provided by nonLinearPrediction. This function is just a simple wrapper "for dummies" that reconstructs the phase space under the hood, including the choice of time lag, embedding dimensions, etc. It can also predict not one but many points in a single step.

Usage

nonlinPred(
  x,
  nPoints = 1,
  time.lag = NULL,
  embedding.dim = NULL,
  max.embedding.dim = 15,
  threshold = 0.95,
  max.relative.change = 0.1,
  radius = NULL,
  radius.increment = NULL,
  plot = FALSE
)

Arguments

x	numeric vector
nPoints	number of points to predict, ideally not more than length(x) / 2 (the function is called recursively to predict longer sequences, but don't expect miracles)
time.lag	time lag for constructing Takens vectors. Defaults to the time to the first exponential decay of mutual information. See timeLag
embedding.dim	the number of dimensions of the phase space. Defaults to an estimate based on estimateEmbeddingDim
max.embedding.dim, threshold, max.relative.change	parameters used to estimate the optimal number of embedding dimensions - see estimateEmbeddingDim
radius, radius.increment	the radius used for detecting neighbors in the phase space and its increment in case no neighbors are found - see nonLinearPrediction
plot	if TRUE, plots the original time series and the predictions

Value

Returns a numeric vector on the same scale as input x.

Examples

x = c(rep(1, 3), rep(0, 4), rep(1, 3), rep(0, 4), rep(1, 3), 0, 0)
nonlinPred(x, 5, plot = TRUE)

nonlinPred(sin(1:25), 22, plot = TRUE)

x = soundgen(sylLen = 50, addSilence = 0)[250:450]
nonlinPred(x, 100, plot = TRUE)

nonlinPred(c(rnorm(5), NA, rnorm(3)))
nonlinPred(1:4)
nonlinPred(1:6)

## Not run: 
s1 = soundgen(sylLen = 500, pitch = rnorm(5, 200, 20),
              addSilence = 0, plot = TRUE)
playme(s1)
length(s1)
# we can predict output that is longer than the original time series by
# predicting a bit at a time and using the output as the new input
s2 = nonlinPred(s1, 16000)
spectrogram(c(s1, s2))
playme(c(s1, s2))

## End(Not run)

tatters/soundgen documentation built on Aug. 22, 2023, 4:24 p.m.