Rcode/CPOPexample_functions.R0000664002145400214540000000764113323053755016574 0ustar fearnheafearnhea### #Functions used for the examples in the CPOP paper: # Maidstone, Fearnhead and Letchford # "Detecting changes in slope with an $L_0$ penalty" # ### ### # Simulate Data ### #simulate wave1 #K determines length -- overall length is K*1408 #sig is residual sd ##output is data and mean function and changepoints rwave1=function(K=1,sig=1) { K=as.integer(K) if(K<1) K=1 tau=c(0,256,512,768,1024,1152,1280,1344,1408)*K beta=(-cumsum(c(0,1,-2,3,-4,5,-6,7)*2^-6)+2^-8)/K ##slopes for each segment alpha=1 ##calculate mu m=length(tau)-1 ##number of segments n=tau[m+1] mu=rep(0,n); for(i in 1:m){ mu[(tau[i]+1):tau[i+1]]=alpha+beta[i]*(1:(tau[i+1]-tau[i])) alpha=mu[tau[i+1]] } return(list(y=rnorm(length(mu),mu,sig),mu=mu,cps=tau[-c(1,m+1)])) } ###simulate wave2 ## N= segment length ## K=number of segments ## sig= residual sd ##output is a list of data and mean function and changepoints rwave2=function(N=150,K=10,sig=1){ if(K<2) K=2 ##minimum number of segments tau=0:K*N vec=c(0,(-1)^(2:K)) beta=(-cumsum(vec*(2^-5))+2^-6)*150/N ##slopes for each segment alpha=-1/2 ##calculate mu m=length(tau)-1 ##number of segments n=tau[m+1] mu=rep(0,n); for(i in 1:m){ mu[(tau[i]+1):tau[i+1]]=alpha+beta[i]*(1:(tau[i+1]-tau[i])) alpha=mu[tau[i+1]] } return(list(y=rnorm(length(mu),mu,sig),mu=mu,cps=tau[-c(1,m+1)])) } ##simulate random ## nc is number of changespoints ## n is data length ## psi is sd of value of mean at each changepoint ## sig is residual sd ##output is data and mean function and changepoints rRandom=function(n=1000,nc=9,psi=2,sig=1){ tau=(0:(nc+1))*as.integer(n/(nc+1)) m=length(tau)-1 ##number of segments n=tau[m+1] #number of observations -- in case rounding phi=rnorm(m+1,psi) mu=rep(0,n) for(i in 1:m){ mu[(tau[i]+1):tau[i+1]]=phi[i]+(phi[i+1]-phi[i])*((tau[i]+1):tau[i+1] -tau[i])/(tau[i+1]-tau[i]) } return(list(y=rnorm(length(mu),mu,sig),mu=mu,cps=tau[-c(1,m+1)])) } #################################################### # Functions to run NOT trend-filtering and CPOP ###################################################### ##run CPOP ##input data, estimate of sigma (sigsquared=sig^2) and beta CPOP.run=function(z,beta=NULL,sig=1,useC=T) { if(length(beta)!=1) beta=2*log(length(z)) ##BIC penalty # ans<-CPOP(z,beta = beta,sigsquared = sig^2,useC=useC,useCprune=useC) ans<-CPOP(z,beta = beta,sigsquared = sig^2) # cat("OUTPUT FROM NEW PACKAGE\n") #print(ans) #cat("END\n") CPS=ans[[2]] est=estimate.CPOP(z,CPS) return(list(cpt=CPS[-c(1,length(CPS))],fit=est$f)) } ##runs the not funtion for pcwsLinContMean ##input data and truth ##output fit and changepoint locations not.run=function(z,M=1e4,q.max=25){ ##not output w=not(z,M=M,method="not",contrast="pcwsLinContMean") fo <- features(w,q.max=q.max) return(list(cpt=fo$cpt,fit=predict(w,cpt=fo$c))) } ##run trend-filtering ##input data; sigma; lambdas for grid search ##estimate based on SIC criteria ##output fit and changepoint locations tf.run=function(z,sig=1,lambdas=exp(seq(log(10),log(1000),length=250)) ) { M=length(lambdas) n=length(z) SIC=rep(0,M) for(i in 1:M){ lambda<-lambdas[i] ans.tf<-l1tf(z,lambda) ##l1tf not there SIC[i]=sum((z-ans.tf)^2) dans<-round(diff(ans.tf),digits = 5 ) CP<-c() for(ii in 1:(length(dans)-1)){ if(dans[ii]!=dans[ii+1]){ CP<-c(CP,ii) } } SIC[i]=SIC[i]/sig^2+log(n)*length(CP) } k=which.min(SIC) ans.tf<-l1tf(z,lambdas[k]) ##l1tf not there #MSE=sum((mu-ans.tf)^2) dans<-round(diff(ans.tf),digits = 5 ) CP<-c() for(ii in 1:(length(dans)-1)){ if(dans[ii]!=dans[ii+1]){ CP<-c(CP,ii) } } return(list(cpt=CP,fit=ans.tf,lam=lambdas[k])) } Rcode/CPOPexamples.R0000664002145400214540000000374013323054303014651 0ustar fearnheafearnhea### # Example use of code # ### ##To install l1tf code from github library(devtools) install_github("hadley/l1tf")##obtained from https://github.com/hadley/l1tf library("not") ##library for narrowest-over-threshold library("l1tf") ##library for trend-filtering library(cpop) ##library for cpop library(splines) set.seed(1) ###example of analysis for simulation study source("CPOPexample_functions.R") ##load functions x=rwave1() ##simulate data under basic wave1 scenario z=x[[1]] ##data mu=x[[2]] ##mean taus=x[[3]] ##changepoints ns=max(diff(taus)) ##largest segment n=length(z) ##data length sig.hat=mad(diff(diff(z)))/sqrt(6) ##crude estimate of residual sd ##NOT OUTPUT w=not.run(z,M=1e5) ##run NOT cat("NOT MSE=",sum((mu-w$f)^2)/n,"\n") cat("NOT number changepoints=",length(w$c),"\n") DIFF=abs(matrix(w$c,nrow=length(taus),ncol=length(w$c),byr=T)-matrix(taus,nrow=length(taus),ncol=length(w$c),byr=F)) cat("NOT d_H =",max(apply(DIFF,1,min),apply(DIFF,2,min))/ns,"\n") ##Trend-filtering w=tf.run(z/sig.hat) ##standardised data to have residual sd approx 1 w$f=w$f*sig.hat ##correct estimate of mean for standardisation cat("TF MSE=",sum((mu-w$f)^2)/n,"\n") cat("TF number changepoints=",length(w$c),"\n") DIFF=abs(matrix(w$c,nrow=length(taus),ncol=length(w$c),byr=T)-matrix(taus,nrow=length(taus),ncol=length(w$c),byr=F)) cat("TF d_H =",max(apply(DIFF,1,min),apply(DIFF,2,min))/ns,"\n") ##CPOP w=CPOP.run(z/sig.hat)##standardised data to have residual sd approx 1 w$f=w$f*sig.hat ##correct estimate of mean for standardisation cat("CPOP MSE=",sum((mu-w$f)^2)/n,"\n") cat("CPOP number changepoints=",length(w$c),"\n") DIFF=abs(matrix(w$c,nrow=length(taus),ncol=length(w$c),byr=T)-matrix(taus,nrow=length(taus),ncol=length(w$c),byr=F)) cat("CPOP d_H =",max(apply(DIFF,1,min),apply(DIFF,2,min))/ns,"\n") ###############Example use of CROPS with CPOP n=length(z) out=CROPS.CPOP(z,sig.hat^2,min_pen=5,max_pen=2*log(n),PRINT=T) out[[1]] ##summary out[[2]][[1]] ##one optimal segmentation Rcode/fig2_bfp_fast.txt0000664002145400214540000067203013033717264015500 0ustar fearnheafearnhea5.108341 5.103645 5.108588 5.099603 5.108835 5.088771 5.109083 5.079368 5.109330 5.112906 5.109577 5.094633 5.109824 5.074425 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8.045332 9.649997 8.045580 9.652892 8.045827 9.642718 8.046074 9.632933 8.046321 9.642616 8.046568 9.639047 8.046815 9.631867 8.047062 9.643864 8.047310 9.636776 8.047557 9.627941 8.047804 9.635769 8.048051 9.649526 8.048298 9.638135 8.048545 9.632638 8.048792 9.648108 8.049039 9.634658 8.049287 9.635021 8.049534 9.650225 8.049781 9.632583 8.050028 9.653764 8.050275 9.649922 8.050522 9.659143 8.050769 9.688779 8.051017 9.675364 8.051264 9.662321 8.051511 9.686933 8.051758 9.671175 8.052005 9.678302 Rcode/README0000664002145400214540000000144513322123265013111 0ustar fearnheafearnhea################## #Directory with example R code for the simulation results in #Fearnhead, Maidstone and Letchford "Detecting changes in slope with an $L_0$ penalty" ################## The code uses the cpop package. The cpop package can be installed from the command line using: R CMD INSTALL cpop_0.0.3.tar.gz ################# CPOPexample_functions.R -- functions used in simulation study in Maidstone et al (2017). These functions use the l1tf package, available from: https://github.com/hadley/l1tf ################# CPOPexamples.R -- example code for using CPOP code and for replicating results in Maidstone et al (2017). Calls CPOPexample_functions.R ################# fig2_bfp_fast.txt -- Bacterial Flagellar data from Sowa et al. 2nd column is angular position (in terms of rotations).