X-Git-Url: https://git.auder.net/?p=talweg.git;a=blobdiff_plain;f=pkg%2FR%2FF_Neighbors.R;fp=pkg%2FR%2FF_Neighbors.R;h=8eb1ddc240be802f50b52afeb63ac95a373676d1;hp=143744247d5facd3a2c2cdd1a2aa27c3ea7f7e3c;hb=af718fd5a9a330b13b331e78824a47407a3479ae;hpb=c8a81efd2e8302cde424165539f49e4bb7466fc3 diff --git a/pkg/R/F_Neighbors.R b/pkg/R/F_Neighbors.R index 1437442..8eb1ddc 100644 --- a/pkg/R/F_Neighbors.R +++ b/pkg/R/F_Neighbors.R @@ -1,26 +1,23 @@ #' Neighbors 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. +#' Predict next serie as a weighted combination of curves observed on "similar" days in +#' the past (and future if 'opera'=FALSE); the nature of the similarity is controlled by +#' the options 'simtype' and 'local' (see below). #' -#' 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: +#' Optional arguments: #' \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, +#' \item local: TRUE (default) to constrain neighbors to be "same days in same season" +#' \item simtype: 'endo' for a similarity based on the series only, +#' 'exo' for a similarity 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 +#' \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 Determine N (=20) recent days without missing values, and preceded by a +#' curve 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 @@ -38,30 +35,38 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", inherit = Forecaster, public = list( - predictShape = function(data, today, memory, horizon, ...) + predictShape = function(data, today, memory, predict_from, horizon, ...) { # (re)initialize computed parameters private$.params <- list("weights"=NA, "indices"=NA, "window"=NA) # Do not forecast on days with NAs (TODO: softer condition...) - if (any(is.na(data$getCenteredSerie(today)))) + if (any(is.na(data$getSerie(today-1))) || + (predict_from>=2 && any(is.na(data$getSerie(today)[1:(predict_from-1)])))) + { return (NA) - - # Determine indices of no-NAs days followed by no-NAs tomorrows - fdays = .getNoNA2(data, max(today-memory,1), today-1) + } # Get optional args local = ifelse(hasArg("local"), list(...)$local, TRUE) #same level + season? simtype = ifelse(hasArg("simtype"), list(...)$simtype, "none") #or "endo", or "exo" + opera = ifelse(hasArg("opera"), list(...)$opera, FALSE) #operational mode? + + # Determine indices of no-NAs days preceded by no-NAs yerstedays + tdays = .getNoNA2(data, max(today-memory,2), ifelse(opera,today-1,data$getSize())) + if (!opera) + tdays = setdiff(tdays, today) #always exclude current day + + # Shortcut if window is known #TODO: cross-validation for number of days, on similar (yerste)days if (hasArg("window")) { - return ( private$.predictShapeAux(data, - fdays, today, horizon, local, list(...)$window, simtype, TRUE) ) + return ( private$.predictShapeAux(data, tdays, today, predict_from, horizon, + local, list(...)$window, simtype, opera, TRUE) ) } # Indices of similar days for cross-validation; TODO: 20 = magic number cv_days = getSimilarDaysIndices(today, data, limit=20, same_season=FALSE, - days_in=fdays) + days_in=tdays, operational=opera) # Optimize h : h |--> sum of prediction errors on last N "similar" days errorOnLastNdays = function(window, simtype) @@ -71,13 +76,13 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", for (i in seq_along(cv_days)) { # mix_strategy is never used here (simtype != "mix"), therefore left blank - prediction = private$.predictShapeAux(data, fdays, cv_days[i], horizon, local, - window, simtype, FALSE) + prediction = private$.predictShapeAux(data, tdays, cv_days[i], predict_from, + horizon, local, window, simtype, opera, FALSE) if (!is.na(prediction[1])) { nb_jours = nb_jours + 1 error = error + - mean((data$getSerie(cv_days[i]+1)[1:horizon] - prediction)^2) + mean((data$getSerie(cv_days[i])[predict_from:horizon] - prediction)^2) } } return (error / nb_jours) @@ -105,53 +110,55 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", else #none: value doesn't matter 1 - return(private$.predictShapeAux(data, fdays, today, horizon, local, - best_window, simtype, TRUE)) + return( private$.predictShapeAux(data, tdays, today, predict_from, horizon, local, + best_window, simtype, opera, TRUE) ) } ), private = list( - # Precondition: "today" is full (no NAs) - .predictShapeAux = function(data, fdays, today, horizon, local, window, simtype, - final_call) + # Precondition: "yersteday until predict_from-1" is full (no NAs) + .predictShapeAux = function(data, tdays, today, predict_from, horizon, local, window, + simtype, opera, final_call) { - fdays_cut = fdays[ fdays < today ] - if (length(fdays_cut) <= 1) + tdays_cut = tdays[ tdays != today ] + if (length(tdays_cut) == 0) return (NA) if (local) { - # TODO: 60 == magic number - fdays = getSimilarDaysIndices(today, data, limit=60, same_season=TRUE, - days_in=fdays_cut) - if (length(fdays) <= 1) - return (NA) - # TODO: 10, 12 == magic numbers - fdays = .getConstrainedNeighbs(today,data,fdays,min_neighbs=10,max_neighbs=12) - if (length(fdays) == 1) + # limit=Inf to not censor any day (TODO: finite limit? 60?) + tdays = getSimilarDaysIndices(today, data, limit=Inf, same_season=TRUE, + days_in=tdays_cut, operational=opera) + # TODO: 10 == magic number + tdays = .getConstrainedNeighbs(today, data, tdays, min_neighbs=10) + if (length(tdays) == 1) { if (final_call) { private$.params$weights <- 1 - private$.params$indices <- fdays + private$.params$indices <- tdays private$.params$window <- 1 } - return ( data$getSerie(fdays[1])[1:horizon] ) + return ( data$getSerie(tdays[1])[predict_from:horizon] ) + } + max_neighbs = 12 #TODO: 10 or 12 or... ? + if (length(tdays) > max_neighbs) + { + distances2 <- .computeDistsEndo(data, today, tdays, predict_from) + ordering <- order(distances2) + tdays <- tdays[ ordering[1:max_neighbs] ] } } else - fdays = fdays_cut #no conditioning + tdays = tdays_cut #no conditioning if (simtype == "endo" || simtype == "mix") { # Compute endogen similarities using given window window_endo = ifelse(simtype=="mix", window[1], window) - # Distances from last observed day to days in the past - serieToday = data$getSerie(today) - distances2 = sapply(fdays, function(i) { - delta = serieToday - data$getSerie(i) - mean(delta^2) - }) + # Distances from last observed day to selected days in the past + # TODO: redundant computation if local==TRUE + distances2 <- .computeDistsEndo(data, today, tdays, predict_from) simils_endo <- .computeSimils(distances2, window_endo) } @@ -161,24 +168,7 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", # Compute exogen similarities using given 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$getExo(today)) ) - for (i in seq_along(fdays)) - M[i+1,] = c( data$getLevel(fdays[i]), as.double(data$getExo(fdays[i])) ) - - sigma = cov(M) #NOTE: robust covariance is way too slow - # TODO: 10 == magic number; more robust way == det, or always ginv() - sigma_inv = - if (length(fdays) > 10) - solve(sigma) - else - MASS::ginv(sigma) - - # Distances from last observed day to days in the past - distances2 = sapply(seq_along(fdays), function(i) { - delta = M[1,] - M[i+1,] - delta %*% sigma_inv %*% delta - }) + distances2 <- .computeDistsExo(data, today, tdays) simils_exo <- .computeSimils(distances2, window_exo) } @@ -191,17 +181,20 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", else if (simtype == "mix") simils_endo * simils_exo else #none - rep(1, length(fdays)) + rep(1, length(tdays)) similarities = similarities / sum(similarities) - prediction = rep(0, horizon) - for (i in seq_along(fdays)) - prediction = prediction + similarities[i] * data$getSerie(fdays[i]+1)[1:horizon] + prediction = rep(0, horizon-predict_from+1) + for (i in seq_along(tdays)) + { + prediction = prediction + + similarities[i] * data$getSerie(tdays[i])[predict_from:horizon] + } if (final_call) { private$.params$weights <- similarities - private$.params$indices <- fdays + private$.params$indices <- tdays private$.params$window <- if (simtype=="endo") window_endo @@ -224,34 +217,26 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", # # @param today Index of current day # @param data Object of class Data -# @param fdays Current set of "first days" (no-NA pairs) +# @param tdays Current set of "second days" (no-NA pairs) # @param min_neighbs Minimum number of points in a neighborhood # @param max_neighbs Maximum number of points in a neighborhood # -.getConstrainedNeighbs = function(today, data, fdays, min_neighbs=10, max_neighbs=12) +.getConstrainedNeighbs = function(today, data, tdays, min_neighbs=10) { - levelToday = data$getLevel(today) - distances = sapply(fdays, function(i) abs(data$getLevel(i)-levelToday)) - #TODO: 2, +3 : magic numbers - dist_thresh = 2 - min_neighbs = min(min_neighbs,length(fdays)) + levelToday = data$getLevelHat(today) + distances = sapply( tdays, function(i) abs(data$getLevel(i) - levelToday) ) + #TODO: 1, +1, +3 : magic numbers + dist_thresh = 1 + min_neighbs = min(min_neighbs,length(tdays)) repeat { same_pollution = (distances <= dist_thresh) nb_neighbs = sum(same_pollution) if (nb_neighbs >= min_neighbs) #will eventually happen break - dist_thresh = dist_thresh + 3 + dist_thresh = dist_thresh + ifelse(dist_thresh>1,3,1) } - fdays = fdays[same_pollution] - max_neighbs = 12 - if (nb_neighbs > max_neighbs) - { - # Keep only max_neighbs closest neighbors - fdays = fdays[ - sort(distances[same_pollution],index.return=TRUE)$ix[1:max_neighbs] ] - } - fdays + tdays[same_pollution] } # compute similarities @@ -271,3 +256,36 @@ NeighborsForecaster = R6::R6Class("NeighborsForecaster", } exp(-distances2/(sd_dist*window^2)) } + +.computeDistsEndo <- function(data, today, tdays, predict_from) +{ + lastSerie = c( data$getSerie(today-1), + data$getSerie(today)[if (predict_from>=2) 1:(predict_from-1) else c()] ) + sapply(tdays, function(i) { + delta = lastSerie - c(data$getSerie(i-1), + data$getSerie(i)[if (predict_from>=2) 1:(predict_from-1) else c()]) + sqrt(mean(delta^2)) + }) +} + +.computeDistsExo <- function(data, today, tdays) +{ + M = matrix( ncol=1+length(tdays), nrow=1+length(data$getExo(1)) ) + M[,1] = c( data$getLevelHat(today), as.double(data$getExoHat(today)) ) + for (i in seq_along(tdays)) + M[,i+1] = c( data$getLevel(tdays[i]), as.double(data$getExo(tdays[i])) ) + + sigma = cov(t(M)) #NOTE: robust covariance is way too slow + # TODO: 10 == magic number; more robust way == det, or always ginv() + sigma_inv = + if (length(tdays) > 10) + solve(sigma) + else + MASS::ginv(sigma) + + # Distances from last observed day to days in the past + sapply(seq_along(tdays), function(i) { + delta = M[,1] - M[,i+1] + delta %*% sigma_inv %*% delta + }) +}