Nothing
seg.Ar.fit<-function(obj, XREG, Z, PSI, opz, return.all.sol=FALSE){
#-----------------
useExp.k=TRUE
#-----------------
est.k<-function(x1,y1,L0){
ax<-log(x1)
.x<-cbind(1,ax,ax^2)
b<-drop(solve(crossprod(.x),crossprod(.x,y1)))
const<-b[1]-L0
DD<-sqrt(b[2]^2-4*const*b[3])
kk<-exp((-b[2]+ DD) /(2*b[3]))
return(round(kk))
# ff<-function(xx) b[1]+b[2]*xx + b[3]*xx^2+ L0
# a<-uniroot(ff, c(log(x[4]), 3.4))
}
#-----------------
dpmax<-function(x,y,pow=1){
#deriv pmax
if(pow==1) -(x>y) #ifelse(x>y, -1, 0)
else -pow*((x-y)*(x>y))^(pow-1)#-pow*pmax(x-y,0)^(pow-1)
}
#-----------
in.psi<-function(LIM, PSI, ret.id=TRUE){
#check if psi is inside the range
a<-PSI[1,]<LIM[1,]
b<-PSI[1,]>LIM[2,]
is.ok<- !a & !b #TRUE se psi e' OK
if(ret.id) return(is.ok)
isOK<- all(is.ok) && all(!is.na(is.ok))
isOK}
#------------
far.psi<-function(Z, PSI, id.psi.group, ret.id=TRUE, fc=.93) {
#check if psi are far from the boundaries ..s
# returns TRUE, if fine.
#id.far.ok<-sapply(unique(id.psi.group), function(.x) (table(rowSums(((Z>PSI)[,id.psi.group==.x,drop=FALSE])))>=2)[-1]) #[-1] esclude lo zero, x<psi[1]
#id.far.ok<-sapply(unique(id.psi.group), function(.x) (tabulate(rowSums(((Z>PSI)[,id.psi.group==.x,drop=FALSE]))+1)>=2)[-1]) #[-1] esclude lo zero, x<psi[1]
#16/01/20:
# se un psi assume l'estremo superiore "Z>PSI" non se ne accorge, mentre Z>=PSI, si.. Il contrario e vero con estremo inf e Z>PSI
nSeg<-length(unique(id.psi.group))
npsij<-tapply(id.psi.group,id.psi.group,length)
nj<-sapply(unique(id.psi.group), function(.x) { tabulate(rowSums((Z>PSI)[,id.psi.group==.x,drop=FALSE])+1) }, simplify = FALSE)
ff<-id.far.ok<-vector("list",length=nSeg)
for(i in 1:nSeg){
if(length(nj[[i]])!=npsij[i]+1) nj[[i]]<- tabulate(rowSums((Z>=PSI)[,id.psi.group==i,drop=FALSE])+1)
id.ok<-(nj[[i]] >= 2)
id.far.ok[[i]] <- id.ok[-length(id.ok)] & id.ok[-1] #esattamente uguale al numero di psi del gruppo i
ff[[i]]<-ifelse(diff(nj[[i]])>0, 1/fc, fc)
}
id.far.ok<-unlist(id.far.ok)
ff<-unlist(ff)
if(!ret.id) {return(all(id.far.ok))
} else {
attr(id.far.ok,"factor") <- ff
return(id.far.ok)
}
#if(ret.id) return(id.far.ok) else return(all(id.far.ok))
} #end far.psi
#-----------
adj.psi<-function(psii, LIM) {pmin(pmax(LIM[1,],psii),LIM[2,])}
#-----------
n<-nrow(Z)#length(y)
min.step<-opz$min.step
rangeZ <- apply(Z, 2, range)
alpha<-opz$alpha
limZ <- apply(Z, 2, quantile, names=FALSE, probs=c(alpha[1], alpha[2]))
digits<-opz$digits
pow<-opz$pow
nomiOK<-opz$nomiOK
toll<-opz$toll
h <-opz$h
conv.psi<-opz$conv.psi
gap<-opz$gap
#stop.if.error<-opz$stop.if.error
#fix.npsi<-opz$fix.npsi
fix.npsi<-opz$stop.if.error
dev.new<-opz$dev0
visual<-opz$visual
id.psi.group<-opz$id.psi.group
it.max<-old.it.max<-opz$it.max
psi<-PSI[1,]
psi<-adj.psi(psi, limZ)
PSI<-matrix(psi,nrow=n, ncol=ncol(PSI), byrow=TRUE)
fc<-opz$fc
names(psi)<-id.psi.group
epsilon <- 10
dev.values<-psi.values <- NULL
#id.psi.ok<-rep(TRUE, length(psi))
it <- 0
epsilon <- 10
k.values<-dev.values<- NULL
psi.values <-list()
psi.values[[length(psi.values) + 1]] <- NA
nomiU<- opz$nomiU
nomiV<- opz$nomiV
call.ok <- opz$call.ok #la call con U e V
call.ok.noinit<-call.ok
call.ok.noinit$init<-NULL
call.noV <- opz$call.noV #la call con U ONLY
call.noV.noinit<-call.noV
call.noV.noinit$init<-NULL
toll<-opz$toll
k<-ncol(Z)
mio.init<-NULL
mio.init.noV<-NULL
if(!in.psi(limZ,PSI,FALSE)) stop("starting psi out of the range.. see 'alpha' in seg.control", call.=FALSE)
if(!far.psi(Z,PSI,id.psi.group,FALSE)) stop("psi values too close each other. Please change (decreases number of) starting values", call.=FALSE)
n.psi1<-ncol(Z)
#==============================================
U <- ((Z-PSI)*(Z>PSI)) #pmax((Z - PSI), 0)^pow[1]
colnames(U)<-nomiU
if(pow[1]!=1) U<-U^pow[1]
obj0 <- suppressWarnings(try(eval(call.noV.noinit), silent=TRUE))
if(class(obj0)[1]=="try-error") stop("The first fit with U variables does not work..", call.=FALSE)#obj0 <- suppressWarnings(eval(call.noV.noinit)) ##a volte con i valori iniziali arima() )non converge!! Quindi provo senza init
L0<- -obj0$loglik
n.intDev0<-nchar(strsplit(as.character(L0),"\\.")[[1]][1])
dev.values[length(dev.values) + 1] <- opz$dev0 #del modello iniziale (senza psi)
dev.values[length(dev.values) + 1] <- L0 #modello con psi iniziali
psi.values[[length(psi.values) + 1]] <- psi #psi iniziali
#==============================================
if (visual) {
cat(paste("iter = ", sprintf("%2.0f",0),
" llik = ", sprintf(paste("%", n.intDev0+6, ".5f",sep=""), -L0), #formatC(L1,width=8, digits=5,format="f"), #era format="fg"
" k = ", sprintf("%2.0f", NA),
" n.psi = ",formatC(length(unlist(psi)),digits=0,format="f"),
" ini.psi = ",paste(formatC(unlist(psi),digits=3,format="f"), collapse=" "), #sprintf('%.2f',x)
sep=""), "\n")
}
#==============================================
id.warn <- FALSE
id.psi.changed<-rep(FALSE, it.max)
while (abs(epsilon) > toll) {
it<-it+1
n.psi0 <- n.psi1
n.psi1 <- ncol(Z)
if(n.psi1!=n.psi0){
U <- ((Z-PSI)*(Z>PSI)) #pmax((Z - PSI), 0)^pow[1]
if(pow[1]!=1) U<-U^pow[1]
obj0 <- suppressWarnings(try(eval(call.noV), silent=TRUE))
if(class(obj0)[1]=="try-error") obj0 <- suppressWarnings(eval(call.noV.noinit)) ##a volte con i valori iniziali arima() )non converge!! Quindi provo senza init
L0<- -obj0$loglik
}
V <- dpmax(Z,PSI,pow=pow[2])# ifelse((Z > PSI), -1, 0)
X <- cbind(XREG, U, V)
rownames(X) <- NULL
colnames(X)[(ncol(XREG) + 1):ncol(X)] <- c(paste("U", 1:ncol(U), sep = ""), paste("V", 1:ncol(V), sep = ""))
obj <- suppressWarnings(try(eval(call.ok), silent=TRUE))
if(class(obj)[1]=="try-error") obj <- suppressWarnings(eval(call.ok.noinit)) ##a volte con i valori iniziali arima() )non converge!! Quindi provo senza init
beta.c <- coef(obj)[paste("U", 1:ncol(U), sep = "")]
gamma.c <- coef(obj)[paste("V", 1:ncol(V), sep = "")]
if(any(is.na(c(beta.c, gamma.c)))){
if(fix.npsi) {
if(return.all.sol) return(list(dev.values, psi.values)) else stop("breakpoint estimate too close or at the boundary causing NA estimates.. too many breakpoints being estimated?", call.=FALSE)
} else {
id.coef.ok<-!is.na(gamma.c)
psi<-psi[id.coef.ok]
if(length(psi)<=0) {
warning(paste("All breakpoints have been removed after",it,"iterations.. returning 0"), call. = FALSE)
return(0)
}
gamma.c<-gamma.c[id.coef.ok]
beta.c<-beta.c[id.coef.ok]
Z<-Z[, id.coef.ok, drop=FALSE]
rangeZ <- rangeZ[,id.coef.ok, drop=FALSE]
limZ <- limZ[,id.coef.ok, drop=FALSE]
nomiOK<-nomiOK[id.coef.ok] #salva i nomi delle U per i psi ammissibili
id.psi.group<-id.psi.group[id.coef.ok]
names(psi)<-id.psi.group
}
}
psi.old<-psi
psi <- psi.old + gamma.c/beta.c
psi<- adj.psi(psi, limZ)
if(!is.null(digits)) psi<-round(psi, digits)
PSI <- matrix(rep(psi, rep(n, length(psi))), ncol = length(psi))
#--modello con il nuovo psi
U<-(Z-PSI)*(Z>PSI) #in seg.(g)lm.fit l'ho chiamata U..
if(pow[1]!=1) U<-U^pow[1]
#call.noV$init<-quote(coef(...........))
obj1 <- suppressWarnings(try(eval(call.noV), silent=TRUE))
if(class(obj1)[1]=="try-error") obj1 <- suppressWarnings(eval(call.noV.noinit))
L1<- if(class(obj1)[1]=="try-error") L0+10 else -obj1$loglik
use.k<-k<-1
L1.k<-NULL
L1.k[length(L1.k)+1]<-L1
while(L1>L0){
k<-k+1
use.k <- if(useExp.k) 2^(k-1) else k
# if(k>=4){
# xx<-1:k
# use.k<-est.k(xx, -L1.k[1:k],-L0)
# }
psi <- psi.old + (gamma.c/beta.c)/(use.k*h)
#psi <- psi.old[id.psi.ok] + (gamma.c[id.psi.ok]/beta.c[id.psi.ok])/(use.k*h)
if(!is.null(digits)) psi<-round(psi, digits)
PSI <- matrix(rep(psi, rep(n, length(psi))), ncol = length(psi))
#qui o si aggiusta psi per farlo rientrare nei limiti, o si elimina, oppure se obj1 sotto non funziona semplicemente continua..
U<-(Z-PSI)*(Z>PSI)
if(pow[1]!=1) U<-U^pow[1]
obj1 <- suppressWarnings(try(eval(call.noV), silent=TRUE))
L1<- if(class(obj1)[1]=="try-error") L0+10 else -obj1$loglik
L1.k[length(L1.k)+1]<-L1
if(1/(use.k*h)<min.step){
# # #warning("step halving too small")
break}
} #end while L0-L1
if (visual) {
flush.console()
cat(paste("iter = ", sprintf("%2.0f",it),
" llik = ", sprintf(paste("%", n.intDev0+6, ".5f",sep=""), -L1), #formatC(L1,width=8, digits=5,format="f"), #era format="fg"
" k = ", sprintf("%2.0f", k),
" n.psi = ",formatC(length(unlist(psi)),digits=0,format="f"),
" est.psi = ",paste(formatC(unlist(psi),digits=3,format="f"), collapse=" "), #sprintf('%.2f',x)
sep=""), "\n")
}
epsilon <- if(conv.psi) max(abs((psi -psi.old)/psi.old)) else (L0 - L1)/(abs(L0) + 0.1)
L0<-L1
#U <-U1 #le ho sempre chiamate U, non c'e' bisogno di ri-assegnare..
k.values[length(k.values)+1]<-use.k
psi.values[[length(psi.values) + 1]] <- psi
dev.values[length(dev.values) + 1] <- L0
#Mi sa che non servono i controlli.. soprattutto se non ha fatto step-halving
#check if i psi ottenuti sono nel range o abbastanza lontani
id.psi.far <-far.psi(Z, PSI, id.psi.group, TRUE, fc=opz$fc)
id.psi.in <- in.psi(limZ, PSI, TRUE)
id.psi.ok <- id.psi.in & id.psi.far
if(!all(id.psi.ok)){
if(fix.npsi){
# psi<-adj.psi(psi, limZ) #within range!!!
# id.psi.far<-far.psi(Z, PSI, id.psi.group, TRUE)
psi<-psi*ifelse(id.psi.far,1,.9)
PSI <- matrix(rep(psi, rep(nrow(Z), length(psi))), ncol = length(psi))
id.psi.changed[it]<-TRUE
} else {
Z<-Z[, id.psi.ok, drop=FALSE]
PSI<-PSI[, id.psi.ok, drop=FALSE]
rangeZ <- rangeZ[,id.psi.ok,drop=FALSE]
limZ <- limZ[,id.psi.ok,drop=FALSE]
nomiOK<-nomiOK[id.psi.ok] #salva i nomi delle U per i psi ammissibili
id.psi.group<-id.psi.group[id.psi.ok]
psi.old<- psi.old[id.psi.ok]
psi<- psi[id.psi.ok]
names(psi)<-id.psi.group
if(ncol(PSI)<=0) {
warning(paste("All breakpoints have been removed after",it,"iterations.. returning 0"), call. = FALSE)
return(0)
}
}
}
if (it >= it.max) {
id.warn <- TRUE
break
}
} #end while_it
##=============================================================================
if(id.psi.changed[length(id.psi.changed)]) warning(paste("Some psi (", (1:length(psi))[!id.psi.far],
") changed after the last iter.",sep=""), call. = FALSE)
if(id.warn) warning(paste("max number of iterations (", it,") attained",sep=""), call. = FALSE)
attr( psi.values, "dev") <- dev.values
attr( psi.values, "k")<- k.values
#ordina i breakpoints..
psi<-unlist(tapply(psi, id.psi.group, sort))
names(psi)<-id.psi.group
names.coef<-names(coef(obj)) #names(obj$coefficients) #obj e' quello vecchio che include U1,.. V1,...
PSI.old<-PSI
PSI <- matrix(rep(psi, rep(nrow(Z), length(psi))), ncol = length(psi))
#U e V possono essere cambiati (rimozione/ordinamento psi.. ) per cui si deve ricalcolare il tutto, altrimenti sarebbe uguale a U1 e obj1
if(sd(PSI-PSI.old)>0 || id.psi.changed[length(id.psi.changed)]){
U <- (Z-PSI)*(Z>PSI)
colnames(U)<-paste("U", 1:ncol(U), sep = "")
V <- -(Z>PSI)
colnames(V)<-paste("V", 1:ncol(V), sep = "")
#X <- cbind(XREG, U, V)
#rownames(X) <- NULL
obj <- suppressWarnings(try(eval(call.noV), silent=TRUE))
L1<- -obj$loglik
} else {
obj<-obj1
}
obj$coef<-c(obj$coef, rep(0,ncol(V)))
names(obj$coef)<-names.coef
obj$epsilon <- epsilon
obj$it <- it
obj<-list(obj=obj,it=it,psi=psi, psi.values=psi.values, U=U,V=V,rangeZ=rangeZ,
epsilon=epsilon,nomiOK=nomiOK, SumSquares.no.gap=L1, id.psi.group=id.psi.group,id.warn=id.warn) #inserire id.psi.ok?
return(obj)
}
# if(return.all.sol) {
# obj.noV <- suppressWarnings(eval(call.noV)) #, envir=mfExt
# #mio.init.noV<-obj.noV$coef
# #mio.init.noV<- c(0,obj.noV$coef[-1])
# dev.new1 <- -obj.noV$loglik
# #dev.new1 <- sum(mylm(x = cbind(XREG, U), y = y, w = w, offs = offs)$residuals^2)
# }
#
# beta.c<-coef(obj)[nomiU]
# gamma.c<-coef(obj)[nomiV]
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