X-Git-Url: https://git.auder.net/?a=blobdiff_plain;f=pkg%2FR%2FF_Neighbors.R;h=ffb068f9f248eec2e02aad151ed5b7dc2d460213;hb=3ddf1c12af0c167fe7d3bb59e63258550270cfc5;hp=c55291aa996838a2a02535725f72c4fb8709b922;hpb=aa059de77cbcd28a3a66c7ff29ebe0346882867b;p=talweg.git diff --git a/pkg/R/F_Neighbors.R b/pkg/R/F_Neighbors.R index c55291a..ffb068f 100644 --- a/pkg/R/F_Neighbors.R +++ b/pkg/R/F_Neighbors.R @@ -1,9 +1,36 @@ -#' @include Forecaster.R -#' #' Neighbors Forecaster #' -#' Predict tomorrow as a weighted combination of "futures of the past" days. -#' Inherits \code{\link{Forecaster}} +#' Predict next serie as a weighted combination of "futures of the past" days, +#' where days in the past are chosen and weighted according to some similarity measures. +#' +#' The main method is \code{predictShape()}, taking arguments data, today, memory, +#' horizon respectively for the dataset (object output of \code{getData()}), the current +#' index, the data depth (in days) and the number of time steps to forecast. +#' In addition, optional arguments can be passed: +#' \itemize{ +#' \item local : TRUE (default) to constrain neighbors to be "same days within same +#' season" +#' \item simtype : 'endo' for a similarity based on the series only, +#' 'exo' for a similaruty based on exogenous variables only, +#' 'mix' for the product of 'endo' and 'exo', +#' 'none' (default) to apply a simple average: no computed weights +#' \item window : A window for similarities computations; override cross-validation +#' window estimation. +#' } +#' The method is summarized as follows: +#' \enumerate{ +#' \item Determine N (=20) recent days without missing values, and followed by a +#' tomorrow also without missing values. +#' \item Optimize the window parameters (if relevant) on the N chosen days. +#' \item Considering the optimized window, compute the neighbors (with locality +#' constraint or not), compute their similarities -- using a gaussian kernel if +#' simtype != "none" -- and average accordingly the "tomorrows of neigbors" to +#' obtain the final prediction. +#' } +#' +#' @docType class +#' @format R6 class, inherits Forecaster +#' @aliases F_Neighbors #' NeighborsForecaster = R6::R6Class("NeighborsForecaster", inherit = Forecaster, @@ -19,11 +46,11 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", return (NA) # Determine indices of no-NAs days followed by no-NAs tomorrows - fdays = getNoNA2(data, max(today-memory,1), today-1) + fdays = .getNoNA2(data, max(today-memory,1), today-1) # Get optional args - local = ifelse(hasArg("local"), list(...)$local, FALSE) #same level + season? - simtype = ifelse(hasArg("simtype"), list(...)$simtype, "mix") #or "endo", or "exo" + local = ifelse(hasArg("local"), list(...)$local, TRUE) #same level + season? + simtype = ifelse(hasArg("simtype"), list(...)$simtype, "none") #or "endo", or "exo" if (hasArg("window")) { return ( private$.predictShapeAux(data, @@ -34,7 +61,7 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", cv_days = getSimilarDaysIndices(today, data, limit=20, same_season=FALSE, days_in=fdays) - # Optimize h : h |--> sum of prediction errors on last 45 "similar" days + # Optimize h : h |--> sum of prediction errors on last N "similar" days errorOnLastNdays = function(window, simtype) { error = 0 @@ -54,32 +81,30 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", return (error / nb_jours) } - if (simtype != "endo") - { - best_window_exo = optimize( - errorOnLastNdays, c(0,7), simtype="exo")$minimum - } - if (simtype != "exo") + # TODO: 7 == magic number + if (simtype=="endo" || simtype=="mix") { best_window_endo = optimize( errorOnLastNdays, c(0,7), simtype="endo")$minimum } - - if (simtype == "endo") - { - return (private$.predictShapeAux(data, fdays, today, horizon, local, - best_window_endo, "endo", TRUE)) - } - if (simtype == "exo") - { - return (private$.predictShapeAux(data, fdays, today, horizon, local, - best_window_exo, "exo", TRUE)) - } - if (simtype == "mix") + if (simtype=="exo" || simtype=="mix") { - return(private$.predictShapeAux(data, fdays, today, horizon, local, - c(best_window_endo,best_window_exo), "mix", TRUE)) + best_window_exo = optimize( + errorOnLastNdays, c(0,7), simtype="exo")$minimum } + + best_window = + if (simtype == "endo") + best_window_endo + else if (simtype == "exo") + best_window_exo + else if (simtype == "mix") + c(best_window_endo,best_window_exo) + else #none: value doesn't matter + 1 + + return(private$.predictShapeAux(data, fdays, today, horizon, local, + best_window, simtype, TRUE)) } ), private = list( @@ -93,33 +118,14 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", if (local) { - # Neighbors: days in "same season"; TODO: 60 == magic number... + # TODO: 60 == magic number fdays = getSimilarDaysIndices(today, data, limit=60, same_season=TRUE, days_in=fdays_cut) if (length(fdays) <= 1) return (NA) - levelToday = data$getLevel(today) - distances = sapply(fdays, function(i) abs(data$getLevel(i)-levelToday)) - #TODO: 2, 3, 5, 10 magic numbers here... - dist_thresh = 2 - min_neighbs = min(3,length(fdays)) - repeat - { - same_pollution = (distances <= dist_thresh) - nb_neighbs = sum(same_pollution) - if (nb_neighbs >= min_neighbs) #will eventually happen - break - dist_thresh = dist_thresh + 3 - } - fdays = fdays[same_pollution] - max_neighbs = 10 - if (nb_neighbs > max_neighbs) - { - # Keep only max_neighbs closest neighbors - fdays = fdays[ - sort(distances[same_pollution],index.return=TRUE)$ix[1:max_neighbs] ] - } - if (length(fdays) == 1) #the other extreme... + # TODO: 10, 12 == magic numbers + fdays = .getConstrainedNeighbs(today,data,fdays,min_neighbs=10,max_neighbs=12) + if (length(fdays) == 1) { if (final_call) { @@ -127,13 +133,13 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", private$.params$indices <- fdays private$.params$window <- 1 } - return ( data$getSerie(fdays[1])[1:horizon] ) #what else?! + return ( data$getSerie(fdays[1])[1:horizon] ) } } else fdays = fdays_cut #no conditioning - if (simtype != "exo") + if (simtype == "endo" || simtype == "mix") { # Compute endogen similarities using given window window_endo = ifelse(simtype=="mix", window[1], window) @@ -145,19 +151,13 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", mean(delta^2) }) - sd_dist = sd(distances2) - if (sd_dist < .25 * sqrt(.Machine$double.eps)) - { -# warning("All computed distances are very close: stdev too small") - sd_dist = 1 #mostly for tests... FIXME: - } - simils_endo = exp(-distances2/(sd_dist*window_endo^2)) + simils_endo <- .computeSimils(distances2, window_endo) } - if (simtype != "endo") + if (simtype == "exo" || simtype == "mix") { # Compute exogen similarities using given window - h_exo = ifelse(simtype=="mix", window[2], window) + window_exo = ifelse(simtype=="mix", window[2], window) M = matrix( nrow=1+length(fdays), ncol=1+length(data$getExo(today)) ) M[1,] = c( data$getLevel(today), as.double(data$getExo(today)) ) @@ -178,13 +178,7 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", delta %*% sigma_inv %*% delta }) - sd_dist = sd(distances2) - if (sd_dist < .25 * sqrt(.Machine$double.eps)) - { -# warning("All computed distances are very close: stdev too small") - sd_dist = 1 #mostly for tests... FIXME: - } - simils_exo = exp(-distances2/(sd_dist*window_exo^2)) + simils_exo <- .computeSimils(distances2, window_exo) } similarities = @@ -192,8 +186,10 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", simils_exo else if (simtype == "endo") simils_endo - else #mix + else if (simtype == "mix") simils_endo * simils_exo + else #none + rep(1, length(fdays)) similarities = similarities / sum(similarities) prediction = rep(0, horizon) @@ -209,11 +205,82 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", window_endo else if (simtype=="exo") window_exo - else #mix + else if (simtype=="mix") c(window_endo,window_exo) + else #none + 1 } return (prediction) } ) ) + +#' getNoNA2 +#' +#' Get indices in data of no-NA series followed by no-NA, within [first,last] range. +#' +#' @inheritParams dateIndexToInteger +#' @param first First index (included) +#' @param last Last index (included) +#' +.getNoNA2 = function(data, first, last) +{ + (first:last)[ sapply(first:last, function(i) + !any( is.na(data$getCenteredSerie(i)) | is.na(data$getCenteredSerie(i+1)) ) + ) ] +} + +#' getConstrainedNeighbs +#' +#' Get indices of neighbors of similar pollution level (among same season + day type). +#' +#' @param today Index of current day +#' @param data Object of class Data +#' @param fdays Current set of "first days" (no-NA pairs) +#' @param min_neighbs Minimum number of points in a neighborhood +#' @param max_neighbs Maximum number of points in a neighborhood +#' +.getConstrainedNeighbs = function(today, data, fdays, min_neighbs=10, max_neighbs=12) +{ + levelToday = data$getLevel(today) + distances = sapply(fdays, function(i) abs(data$getLevel(i)-levelToday)) + #TODO: 2, +3 : magic numbers + dist_thresh = 2 + min_neighbs = min(min_neighbs,length(fdays)) + repeat + { + same_pollution = (distances <= dist_thresh) + nb_neighbs = sum(same_pollution) + if (nb_neighbs >= min_neighbs) #will eventually happen + break + dist_thresh = dist_thresh + 3 + } + fdays = fdays[same_pollution] + max_neighbs = 12 + if (nb_neighbs > max_neighbs) + { + # Keep only max_neighbs closest neighbors + fdays = fdays[ + sort(distances[same_pollution],index.return=TRUE)$ix[1:max_neighbs] ] + } + fdsays +} + +#' compute similarities +#' +#' Apply the gaussian kernel on computed squared distances. +#' +#' @param distances2 Squared distances +#' @param window Window parameter for the kernel +#' +.computeSimils <- function(distances2, window) +{ + sd_dist = sd(distances2) + if (sd_dist < .25 * sqrt(.Machine$double.eps)) + { +# warning("All computed distances are very close: stdev too small") + sd_dist = 1 #mostly for tests... FIXME: + } + exp(-distances2/(sd_dist*window^2)) +}