#######################################################################
# stream - Infrastructure for Data Stream Mining
# Copyright (C) 2013 Michael Hahsler, Matthew Bolanos, John Forrest
#
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License along
# with this program; if not, write to the Free Software Foundation, Inc.,
# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
#' Exponential Moving Average over a Data Stream
#'
#' Applies an exponential moving average to components of a data stream.
#'
#' The exponential moving average is calculated by:
#'
#' \eqn{S_t = \alpha Y_t + (1 - \alpha)\; S_{i-1}}
#'
#' with \eqn{S_0 = Y_0}.
#'
#'
#' @family DSF
#'
#' @param dsd The input stream as an [DSD] object.
#' @param dim columns to which the filter should be applied. Default is all columns.
#' @param alpha smoothing coefficient in \eqn{[0, 1]}. Larger means discounting older observations faster.
#' @return An object of class `DSF_ExponentialMA` (subclass of [DSF] and [DSD]).
#' @author Michael Hahsler
#' @examples
#' # Smooth a time series
#' data(presidents)
#'
#' stream <- data.frame(
#' presidents,
#' .time = time(presidents)) %>%
#' DSD_Memory()
#'
#' plot(stream, dim = 1, n = 120, method = "ts", main = "Original")
#'
#' smoothStream <- stream %>% DSF_ExponentialMA(alpha = .7)
#' smoothStream
#'
#' reset_stream(smoothStream)
#' plot(smoothStream, dim = 1, n = 120, method = "ts", main = "With ExponentialMA(.7)")
#' @export
DSF_ExponentialMA <- function(dsd = NULL,
dim = NULL,
alpha = .5) {
# creating the DSD object
l <- list(
dsd = dsd,
dim = dim,
alpha = alpha,
S.env = as.environment(list(S = NULL)),
description = paste0(
ifelse(!is.null(dsd), dsd$description, "DSF without a specified DSD")
,
"\n + exponential MA(",
alpha,
")"
)
)
class(l) <- c("DSF_ExponentialMA", "DSF", "DSD_R", "DSD")
l
}
#' @export
update.DSF_ExponentialMA <- function(object,
dsd = NULL,
n = 1L,
return = "data",
info = TRUE,
...) {
.nodots(...)
return <- match.arg(return)
if (is.null(dsd))
dsd <- object$dsd
if (is.null(dsd))
stop("No dsd specified in ", deparse(substitute(object)), ". Specify a dsd in update().")
if (n == 0)
return(get_points(dsd, n = 0L, info = info))
d <-
get_points(dsd, n, info = info, ...)
dims <- get_dims(object$dim, d)
if (is.null(object$S.env$S))
object$S.env$S <- d[1, dims, drop = FALSE]
for (i in seq(nrow(d))) {
# handle NA
Y <- d[i, dims, drop = FALSE]
if (any(missing <- is.na(Y)))
Y[missing] <- object$S.env$S[missing]
if (any(missing <- is.na(object$S.env$S)))
object$S.env$S[missing] <- Y[missing]
object$S.env$S <-
d[i, dims] <- object$alpha * object$S.env$S + (1 - object$alpha) * Y
}
d
}
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