X-Git-Url: https://git.auder.net/?p=talweg.git;a=blobdiff_plain;f=pkg%2FR%2FF_Neighbors.R;h=5b2c8990a850d2dff0d75c23d67815e7393ccd07;hp=7144fad777202020edbd427ea936af940bf34555;hb=5e838b3e17465c376ca075b766cf2543c82e9864;hpb=dea7ff860b42b3e246c8fa7ce2fb514561b8bc43 diff --git a/pkg/R/F_Neighbors.R b/pkg/R/F_Neighbors.R index 7144fad..5b2c899 100644 --- a/pkg/R/F_Neighbors.R +++ b/pkg/R/F_Neighbors.R @@ -1,138 +1,98 @@ #' @include Forecaster.R #' -#' @title Neighbors Forecaster +#' Neighbors Forecaster #' -#' @description Predict tomorrow as a weighted combination of "futures of the past" days. -#' Inherits \code{\link{Forecaster}} -NeighborsForecaster = setRefClass( - Class = "NeighborsForecaster", - contains = "Forecaster", +#' Predict tomorrow as a weighted combination of "futures of the past" days. +#' Inherits \code{\link{Forecaster}} +#' +NeighborsForecaster = R6::R6Class("NeighborsForecaster", + inherit = Forecaster, - methods = list( - initialize = function(...) - { - callSuper(...) - }, - predictShape = function(today, memory, horizon, ...) + public = list( + predictShape = function(data, today, memory, horizon, ...) { # (re)initialize computed parameters - params <<- list("weights"=NA, "indices"=NA, "window"=NA) - - first_day = max(today - memory, 1) - # The first day is generally not complete: - if (length(data$getCenteredSerie(1)) < length(data$getCenteredSerie(2))) - first_day = 2 + private$.params <- list("weights"=NA, "indices"=NA, "window"=NA) - # Predict only on (almost) non-NAs days - nas_in_serie = is.na(data$getSerie(today)) - if (any(nas_in_serie)) - { - #TODO: better define "repairing" conditions (and method) - if (sum(nas_in_serie) >= length(nas_in_serie) / 2) - return (NA) - for (i in seq_along(nas_in_serie)) - { - if (nas_in_serie[i]) - { - #look left - left = i-1 - while (left>=1 && nas_in_serie[left]) - left = left-1 - #look right - right = i+1 - while (right<=length(nas_in_serie) && nas_in_serie[right]) - right = right+1 - #HACK: modify by-reference Data object... - data$data[[today]]$serie[i] <<- - if (left==0) data$data[[today]]$serie[right] - else if (right==0) data$data[[today]]$serie[left] - else (data$data[[today]]$serie[left] + data$data[[today]]$serie[right]) / 2. - } - } - } + # Do not forecast on days with NAs (TODO: softer condition...) + if (any(is.na(data$getCenteredSerie(today)))) + return (NA) # Determine indices of no-NAs days followed by no-NAs tomorrows - fdays_indices = c() - for (i in first_day:(today-1)) + fdays = getNoNA2(data, max(today-memory,1), today-1) + + # Get optional args + simtype = ifelse(hasArg("simtype"), list(...)$simtype, "mix") #or "endo", or "exo" + kernel = ifelse(hasArg("kernel"), list(...)$kernel, "Gauss") #or "Epan" + if (hasArg(h_window)) { - if ( !any(is.na(data$getSerie(i)) | is.na(data$getSerie(i+1))) ) - fdays_indices = c(fdays_indices, i) + return ( private$.predictShapeAux(data, + fdays, today, horizon, list(...)$h_window, kernel, simtype, TRUE) ) } - #GET OPTIONAL PARAMS - # Similarity computed with exogenous variables ? endogenous ? both ? ("exo","endo","mix") - simtype = ifelse(hasArg("simtype"), list(...)$simtype, "exo") - simthresh = ifelse(hasArg("simthresh"), list(...)$simthresh, 0.) - kernel = ifelse(hasArg("kernel"), list(...)$kernel, "Gauss") - mix_strategy = ifelse(hasArg("mix_strategy"), list(...)$mix_strategy, "neighb") #or "mult" - same_season = ifelse(hasArg("same_season"), list(...)$same_season, TRUE) - if (hasArg(h_window)) - return (.predictShapeAux(fdays_indices, today, horizon, list(...)$h_window, kernel, - simtype, simthresh, mix_strategy, FALSE)) - #END GET + # Indices of similar days for cross-validation; TODO: 45 = magic number + sdays = getSimilarDaysIndices(today, limit=45, same_season=FALSE) - # Indices for cross-validation; TODO: 45 = magic number - indices = getSimilarDaysIndices(today, limit=45, same_season=same_season) - #indices = (end_index-45):(end_index-1) + cv_days = intersect(fdays,sdays) + # Limit to 20 most recent matching days (TODO: 20 == magic number) + cv_days = sort(cv_days,decreasing=TRUE)[1:min(20,length(cv_days))] # Function to optimize h : h |--> sum of prediction errors on last 45 "similar" days errorOnLastNdays = function(h, kernel, simtype) { error = 0 nb_jours = 0 - for (i in indices) + for (i in seq_along(cv_days)) { - # NOTE: predict only on non-NAs days followed by non-NAs (TODO:) - if (!any(is.na(data$getSerie(i)) | is.na(data$getSerie(i+1)))) + # mix_strategy is never used here (simtype != "mix"), therefore left blank + prediction = private$.predictShapeAux(data, + fdays, cv_days[i], horizon, h, kernel, simtype, FALSE) + if (!is.na(prediction[1])) { nb_jours = nb_jours + 1 - # mix_strategy is never used here (simtype != "mix"), therefore left blank - prediction = .predictShapeAux(fdays_indices, i, horizon, h, kernel, simtype, - simthresh, "", FALSE) - if (!is.na(prediction[1])) - error = error + mean((data$getCenteredSerie(i+1)[1:horizon] - prediction)^2) + error = error + + mean((data$getCenteredSerie(cv_days[i]+1)[1:horizon] - prediction)^2) } } return (error / nb_jours) } - h_best_exo = 1. - if (simtype != "endo" && !(simtype=="mix" && mix_strategy=="neighb")) + if (simtype != "endo") { - h_best_exo = optimize(errorOnLastNdays, interval=c(0,10), kernel=kernel, - simtype="exo")$minimum + h_best_exo = optimize( + errorOnLastNdays, c(0,10), kernel=kernel, simtype="exo")$minimum } if (simtype != "exo") { - h_best_endo = optimize(errorOnLastNdays, interval=c(0,10), kernel=kernel, - simtype="endo")$minimum + h_best_endo = optimize( + errorOnLastNdays, c(0,10), kernel=kernel, simtype="endo")$minimum } if (simtype == "endo") { - return (.predictShapeAux(fdays_indices, today, horizon, h_best_endo, kernel, "endo", - simthresh, "", TRUE)) + return (private$.predictShapeAux(data, + fdays, today, horizon, h_best_endo, kernel, "endo", TRUE)) } if (simtype == "exo") { - return (.predictShapeAux(fdays_indices, today, horizon, h_best_exo, kernel, "exo", - simthresh, "", TRUE)) + return (private$.predictShapeAux(data, + fdays, today, horizon, h_best_exo, kernel, "exo", TRUE)) } if (simtype == "mix") { - return (.predictShapeAux(fdays_indices, today, horizon, c(h_best_endo,h_best_exo), - kernel, "mix", simthresh, mix_strategy, TRUE)) + h_best_mix = c(h_best_endo,h_best_exo) + return(private$.predictShapeAux(data, + fdays, today, horizon, h_best_mix, kernel, "mix", TRUE)) } - }, + } + ), + private = list( # Precondition: "today" is full (no NAs) - .predictShapeAux = function(fdays_indices, today, horizon, h, kernel, simtype, simthresh, - mix_strategy, final_call) + .predictShapeAux = function(data, fdays, today, horizon, h, kernel, simtype, final_call) { - dat = data$data #HACK: faster this way... - - fdays_indices = fdays_indices[fdays_indices < today] + fdays = fdays[ fdays < today ] # TODO: 3 = magic number - if (length(fdays_indices) < 3) + if (length(fdays) < 3) return (NA) if (simtype != "exo") @@ -140,20 +100,24 @@ NeighborsForecaster = setRefClass( h_endo = ifelse(simtype=="mix", h[1], h) # Distances from last observed day to days in the past - distances2 = rep(NA, length(fdays_indices)) - for (i in seq_along(fdays_indices)) - { - delta = dat[[today]]$serie - dat[[ fdays_indices[i] ]]$serie - # Require at least half of non-NA common values to compute the distance - if (sum(is.na(delta)) <= 0) #length(delta)/2) - distances2[i] = mean(delta^2) #, na.rm=TRUE) - } + serieToday = data$getSerie(today) + distances2 = sapply(fdays, function(i) { + delta = serieToday - data$getSerie(i) + mean(delta^2) + }) sd_dist = sd(distances2) + if (sd_dist < .Machine$double.eps) + { +# warning("All computed distances are very close: stdev too small") + sd_dist = 1 #mostly for tests... FIXME: + } simils_endo = - if (kernel=="Gauss") { + if (kernel=="Gauss") exp(-distances2/(sd_dist*h_endo^2)) - } else { #Epanechnikov + else + { + # Epanechnikov u = 1 - distances2/(sd_dist*h_endo^2) u[abs(u)>1] = 0. u @@ -164,92 +128,64 @@ NeighborsForecaster = setRefClass( { h_exo = ifelse(simtype=="mix", h[2], h) - M = matrix( nrow=1+length(fdays_indices), ncol=1+length(dat[[today]]$exo) ) - M[1,] = c( dat[[today]]$level, as.double(dat[[today]]$exo) ) - for (i in seq_along(fdays_indices)) - { - M[i+1,] = c( dat[[ fdays_indices[i] ]]$level, - as.double(dat[[ fdays_indices[i] ]]$exo) ) - } + M = matrix( nrow=1+length(fdays), ncol=1+length(data$getExo(today)) ) + M[1,] = c( data$getLevel(today), as.double(data$getExo(today)) ) + for (i in seq_along(fdays)) + M[i+1,] = c( data$getLevel(fdays[i]), as.double(data$getExo(fdays[i])) ) sigma = cov(M) #NOTE: robust covariance is way too slow - sigma_inv = qr.solve(sigma) + sigma_inv = solve(sigma) #TODO: use pseudo-inverse if needed? # Distances from last observed day to days in the past - distances2 = rep(NA, nrow(M)-1) - for (i in 2:nrow(M)) - { - delta = M[1,] - M[i,] - distances2[i-1] = delta %*% sigma_inv %*% delta - } + distances2 = sapply(seq_along(fdays), function(i) { + delta = M[1,] - M[i+1,] + delta %*% sigma_inv %*% delta + }) sd_dist = sd(distances2) + if (sd_dist < .Machine$double.eps) + { +# warning("All computed distances are very close: stdev too small") + sd_dist = 1 #mostly for tests... FIXME: + } simils_exo = - if (kernel=="Gauss") { + if (kernel=="Gauss") exp(-distances2/(sd_dist*h_exo^2)) - } else { #Epanechnikov + else + { + # Epanechnikov u = 1 - distances2/(sd_dist*h_exo^2) u[abs(u)>1] = 0. u } } - if (simtype=="mix") - { - if (mix_strategy == "neighb") - { - #Only (60) most similar days according to exogen variables are kept into consideration - #TODO: 60 = magic number - keep_indices = sort(simils_exo, index.return=TRUE)$ix[1:(min(60,length(simils_exo)))] - simils_endo[-keep_indices] = 0. - } else #mix_strategy == "mult" - { - simils_endo = simils_endo * simils_exo - } - } - similarities = - if (simtype != "exo") { - simils_endo - } else { + if (simtype == "exo") simils_exo - } - - if (simthresh > 0.) - { - max_sim = max(similarities) - # Set to 0 all similarities s where s / max_sim < simthresh, but keep at least 60 - ordering = sort(similarities / max_sim, index.return=TRUE) - if (ordering[60] < simthresh) - { - similarities[ ordering$ix[ - (1:60) ] ] = 0. - } else - { - limit = 61 - while (limit < length(similarities) && ordering[limit] >= simthresh) - limit = limit + 1 - similarities[ ordering$ix[ - 1:limit] ] = 0. - } - } + else if (simtype == "endo") + simils_endo + else #mix + simils_endo * simils_exo prediction = rep(0, horizon) - for (i in seq_along(fdays_indices)) - prediction = prediction + similarities[i] * dat[[ fdays_indices[i]+1 ]]$serie[1:horizon] - + for (i in seq_along(fdays)) + prediction = prediction + similarities[i] * data$getCenteredSerie(fdays[i]+1)[1:horizon] prediction = prediction / sum(similarities, na.rm=TRUE) + if (final_call) { - params$weights <<- similarities - params$indices <<- fdays_indices - params$window <<- - if (simtype=="endo") { + private$.params$weights <- similarities + private$.params$indices <- fdays + private$.params$window <- + if (simtype=="endo") h_endo - } else if (simtype=="exo") { + else if (simtype=="exo") h_exo - } else { + else #mix c(h_endo,h_exo) - } } + return (prediction) } )