simple function gives result as NaNs? - r

I wrote a simple function but I wonder why I am getting NaNs as results.
Here is the code:
data
en1=c(1,9,5,9,8,7)
en=c(1,5,4,9,3,7)
en2=c(1,4,5,4,8,7)
function:
run:
err1(en,en1,en2)
result:
[1] NaN
Warning message:
In sqrt(mean(((pr - ob) * (ob - ref)), na.rm = na.rm)) : NaNs produced
Any idea on this please

You obtain NaN since the square root of a negative number is undefined (for real numbers).
You might wish to use abs in your function:
err1 <- function(pr,ob,ref,na.rm=TRUE){
sqrt(mean(abs((pr-ob)*(ob-ref)), na.rm = na.rm))}
err1(en,en1,en2)
[1] 1.825742

Related

error optim birnbaum sanders distribution fnpar

I don't know why I get an error message when I'm trying to use optim in R.
I have following data:
x <- c(6.0401209, 7.2888217, 0.4868070,
1.1699703, 51.5998419, 11.8766734,
2.3873264, 16.9583702, 21.6142835,
0.3133089, 3.4178360, 4.4367427,
2.0205100, 10.5798884, 0.4890031,
1.6734176, 10.2809820, 6.4705424,
5.6801965, 0.9438700)
And following log-likelihood function:
log.lik.bs <- function(gamma, betha, z){
n <- length(z)
- n * log(gamma) - n * log(2*sqrt(2*2*pi)) - sum(log(z)) + sum(log(sqrt(z/betha)) + sqrt(betha/z)) - (1/2*gamma^2) * sum((sqrt(z/betha) - sqrt(betha/z))^2)
}
What I'm trying to do is following:
optim(c(2, 6), log.lik.bs, control=list(fnscale=-1), x=x, method="BFGS")$par
But I get an error message:
Error in fn(par, ...) :
unused argument (x = c(6.04012089885228, 7.28882174812723, 0.486806990614708, 1.1699703323488, 51.5998418613029, 11.8766733963947, 2.38732637900487, 16.9583701851951, 21.6142834611592, 0.313308870127425, 3.41783600439905, 4.43674270859797, 2.02051001746263, 10.5798883747597, 0.489003100259996, 1.67341757119939, 10.2809820486722, 6.4705423816332, 5.68019649178721, 0.943869996033357))
It is not quite clear which parameters you are trying to optimize. I assume you want to optimize log.lik.bs with respect to gamma and betha for given z with initial values 2 and 6. In that case you have two errors in your code:
log.lik.bs is expecting an argument named z but you are providing an argument x. That is the error you are getting. Fix: z = x
When using optim your target function must take a single argument for the parameters. From ?optim:
A function to be minimized (or maximized), with first argument the vector of parameters over which minimization is to take place. It should return a scalar result.
Combining this I get:
x <- c(6.0401209, 7.2888217, 0.4868070,
1.1699703, 51.5998419, 11.8766734,
2.3873264, 16.9583702, 21.6142835,
0.3133089, 3.4178360, 4.4367427,
2.0205100, 10.5798884, 0.4890031,
1.6734176, 10.2809820, 6.4705424,
5.6801965, 0.9438700)
log.lik.bs <- function(x, z){
gamma <- x[1]
betha <- x[2]
n <- length(z)
- n * log(gamma) - n * log(2*sqrt(2*2*pi)) - sum(log(z))
+ sum(log(sqrt(z/betha)) + sqrt(betha/z))
- (1/2*gamma^2) * sum((sqrt(z/betha) - sqrt(betha/z))^2)
}
optim(c(2, 6), log.lik.bs, control=list(fnscale=-1), z=x, method="BFGS")$par
Unfortunately this still throws an error:
Error in optim(c(2, 6), log.lik.bs, control = list(fnscale = -1), z = x, :
non-finite finite-difference value [1]
In addition there are several warnings that NaNs where introduced by sqrt and log. So my interpretation of your question might be wrong. After all, the function goes to infinity as gamma goes to zero.

"data are essentially constant" error with t test

t.test(antibioticdata$Bacteria,
antibioticdata$Inhibition,
alternative = c("two.sided"),
paired = FALSE,
var.equal = FALSE)
Here is my R code to make a t-test for a set of data on antibiotic resistance of bacteria. This gives me the error code:
Error in if (stderr < 10 * .Machine$double.eps * max(abs(mx), abs(my))) stop("data are essentially constant") :
missing value where TRUE/FALSE needed
In addition: Warning messages:
1: In mean.default(x) : argument is not numeric or logical: returning NA
2: In var(x) :
Calling var(x) on a factor x is deprecated and will become an error.
Use something like 'all(duplicated(x)[-1L])' to test for a constant vector.
not sure what I am doing wrong
I just met the same error. It's probably due to all the values in each group are the same.
So just write two more "if else". For me, I did
library("greenbrown")
apply(data.table, 1, function(x){
if(AllEqual(x[1:9])){return(1)}
else if(AllEqual(x[1:4]) & AllEqual(x[5:9])){return(0)} else {
t.test(as.numeric(x[1:4]), as.numeric(x[5:9]))->t.results
return(t.results$p.value)
}
})->P.for.data.table

How to capture particular warning message and execute call

Lately when I run my code that uses coxph in the survival package
coxph(frml,data = data), I am now getting warning messages of the following type
1: In model.matrix.default(Terms, mf, contrasts = contrast.arg) :
partial argument match of 'contrasts' to 'contrasts.arg'
2: In seq.default(along = temp) :
partial argument match of 'along' to 'along.with'"
I'm not exactly sure why all of a sudden these partial argument match warnings started popping up, but I don't think they effect me.
However, when I get the following warning message, I want coxph(frml,data = data) = NA
3: In fitter(X, Y, strats, offset, init, control, weights = weights, :
Loglik converged before variable 2 ; beta may be infinite.
6: In coxph(frml, data = data) :
X matrix deemed to be singular; variable 1 3 4
I used tryCatch when I wasn't getting the partial argument match warning using this code where if the nested tryCatch got either a warning or error message it would return NA
coxphfit = tryCatch(tryCatch(coxph(frml,data = data), error=function(w) return(NA)), warning=function(w) return(NA))
However, now that I am getting the partial argument match warnings, I need to only return an NA if there is an error or if I get the above warning messages 3 and 4 . Any idea about how to capture these particular warning messages and return an NA in those instances?
It's actually interesting question, if you are looking for quick and dirty way of capturing warnings you could simply do:
withCallingHandlers({
warning("hello")
1 + 2
}, warning = function(w) {
w ->> w
}) -> res
In this example the object w created in parent environment would be:
>> w
<simpleWarning in withCallingHandlers({ warning("hello") 1 + 2}, warning = function(w) { w <<- w}): hello>
You could then interrogate it:
grepl(x = w$message, pattern = "hello")
# [1] TRUE
as
>> w$message
# [1] "hello"
Object res would contain your desired results:
>> res
[1] 3
It's not the super tidy way but I reckon you could always reference object w and check if the warning message has the phrase you are interested in.

R - numerical errors with analytical gradient?

I've got the following code:
theta=0.05
n=1000
m=200
r=rnorm(2000)
#ER check function
nu=Vectorize(function(a,tau){return(abs(tau-(a<0))*a^2)})
#Selecting 10 lowest sum values (lowest10 function returns indices)
lowest10=function(x){
values=sort(x)[1:min(10,length(x))]
indices=match(values,x)
return(indices)
}
sym.expectile=function(beta,e,abs.r){return(beta[1]+beta[2]*e+beta[3]*abs.r)}
ERsum=function(beta,tau,start,end){
y=r[(start+1):end]
X1=rep(1,n-1)
X3=abs(r[start:(end-1)])
X2=c()
X2[1]=e.sym.optimal[start-m]
for (i in 2:(n-1)){
X2[i]=sym.expectile(beta,X2[i-1],X3[i-1])
}
X=matrix(c(X1,X2,X3),ncol=3)
res=y-X%*%beta
sum.nu=mean(nu(res,tau))
return(sum.nu)
}
ERsum.gr=function(beta,tau,start,end){
y=r[(start+1):end]
X1=rep(1,n-1)
X3=abs(r[start:(end-1)])
X2=c()
X2[1]=e.sym.optimal[start-m]
for (i in 2:(n-1)){
X2[i]=sym.expectile(beta,X2[i-1],X3[i-1])
}
X=matrix(c(X1,X2,X3),ncol=3)
partial.beta0=c()
for (i in 1:(n-1)){partial.beta0[i]=-(1-beta[2]^(i))/(1-beta[2])}
gr.beta0=2/T*sum(abs(tau-(y<X%*%beta))*(y-X%*%beta)*partial.beta0)/1000
partial.beta1=c()
partial.beta1[1]=-X2[1]
for (i in 2:(n-1)){partial.beta1[i]=partial.beta1[i-1]*beta[2]-X2[i]}
gr.beta1=2/T*sum(abs(tau-(y<X%*%beta))*(y-X%*%beta)*partial.beta1)/1000
partial.beta2=c()
partial.beta2[1]=-X3[1]
for (i in 2:(n-1)){partial.beta2[i]=partial.beta2[i-1]*beta[2]-X3[i]}
gr.beta2=2/T*sum(abs(tau-(y<X%*%beta))*(y-X%*%beta)*partial.beta2)/1000
c(gr.beta0,gr.beta1,gr.beta2)
}
beta=matrix(nrow=1e4,ncol=3)
beta[,1]=runif(1e4,-1,0)#beta0
beta[,2]=runif(1e4,0,1)#beta1
beta[,3]=runif(1e4,-1,0)#beta2
e.sym.optimal=c()
tau.found.sym.optim=0.02234724
library('expectreg')
e.sym.optimal[1]=expectile(r[1:m],tau.found.sym.optim)
ERsums.sym=c()
for (i in 1:nrow(beta)){
ERsums.sym[i]=ERsum(beta[i,],tau.found.sym.optim,m+1,m+n)
}
initialbeta.esym=beta[lowest10(ERsums.sym),]
intermedietebeta.esym=matrix(ncol=3,nrow=10)
for (i in 1:10){
intermedietebeta.esym[i,]=optim(initialbeta.esym[i,],ERsum,
gr=ERsum.gr,tau=tau.found.sym.optim,
start=m+1,end=m+n,
method="BFGS")$par
}
I tried to replace the optim function with optimx, but got the following error:
Error: Gradient function might be wrong - check it!
To check if my gradient is ok I tried to evaluate values of gradient function using function grad from numDeriv and directly calling my ERsum.gr function. For the sample vector
beta
[1] -0.8256490 0.7146256 -0.4945032
I obtained following results:
>grad(function(beta) ERsum(c(beta[1],beta[2],beta[3]),tau.found.sym.optim,m+1,m+n),beta)
[1] -0.6703170 2.8812666 -0.5573101
> ERsum.gr2(beta,tau.found.sym.optim,m+1,m+n)
[1] -0.6696467 2.8783853 -0.5567527
So here is my question: is it possible that these differences are just some numerical errors caused by rounding down the partial.beta0, partial.beta1, partial.beta2 which are just the components of the sum representing gradient? I think so, because if my analytical formula for gradient misses something, the discrepancies would be probably much larger, but how can I be sure? If this is a case is there any other way to obtain more accurate values of gradient?
You've got further problems down the line even if you solve the question of whether that is really a proper gradient, which I see as too complex to tackle. If you take out the gr argument and try to run with only optimx instead of optim, you get:
Error in intermedietebeta.esym[i, ] <- optimx(initialbeta.esym[i, ], ERsum, :
number of items to replace is not a multiple of replacement length
This probably relates to the fact that optimx does not return the same structure as is returned by optim:
> optimx(initialbeta.esym[i,],ERsum,
+ tau=tau.found.sym.optim,
+ start=m+1,end=m+n,
+ method="BFGS")$par
NULL
> optimx(initialbeta.esym[i,],ERsum,
+ tau=tau.found.sym.optim,
+ start=m+1,end=m+n,
+ method="BFGS") # leave out `$par`
p1 p2 p3 value fevals gevals niter convcode kkt1 kkt2 xtimes
BFGS -1.0325 0.2978319 0.04921863 0.09326904 102 100 NA 1 TRUE FALSE 3.366
If you disagree with the decision to allow a default gradient estimate, hten you need to narrow down your debugging to the function that throws the error:
Error: Gradient function might be wrong - check it!
> traceback()
3: stop("Gradient function might be wrong - check it! \n", call. = FALSE)
2: optimx.check(par, optcfg$ufn, optcfg$ugr, optcfg$uhess, lower,
upper, hessian, optcfg$ctrl, have.bounds = optcfg$have.bounds,
usenumDeriv = optcfg$usenumDeriv, ...)
1: optimx(initialbeta.esym[i, ], ERsum, gr = ERsum.gr, tau = tau.found.sym.optim,
start = m + 1, end = m + n, method = "BFGS")
And look at the documentation (there was no help page) and code for optimx:::optimx.check. This is the section of code that does the checking:
if (!is.null(ugr) && !usenumDeriv) {
gname <- deparse(substitute(ugr))
if (ctrl$trace > 0)
cat("Analytic gradient from function ", gname,
"\n\n")
fval <- ufn(par, ...)
gn <- grad(func = ufn, x = par, ...)
ga <- ugr(par, ...)
teps <- (.Machine$double.eps)^(1/3)
if (max(abs(gn - ga))/(1 + abs(fval)) >= teps) {
stop("Gradient function might be wrong - check it! \n",
call. = FALSE)
optchk$grbad <- TRUE
}

Using Beta.Select function in R (prior estimate)

I am trying to formulate the priors by using total counts and beta distribution.
I have following written:
quantile(df$row, probs=c(0.00001, 0.5, 0.99999))
quantile1 <- list(p=0.5, x=8)
quantile2 <- list(p=0.99999, x=10)
quantile3 <- list(p=0.00001, x=1)
library("LearnBayes")
findBeta <- function(quantile1,quantile2,quantile3)
quantile1_p <- quantile1[[1]]; quantile1_q <- quantile1[[2]]
quantile2_p <- quantile2[[1]]; quantile2_q <- quantile2[[2]]
quantile3_p <- quantile3[[1]]; quantile3_q <- quantile3[[2]]
priorA <- beta.select(list(p=0.5, x=8), list(p=0.99999, x=10))
and once I am trying to calculate priorA using beta.select function I get following error:
Error in if (p0 < p) m.hi = m0 else m.lo = m0 :
missing value where TRUE/FALSE needed
In addition: Warning message:
In pbeta(x, K * m0, K * (1 - m0)) : NaNs produced
I just can't get rid of the error and do not know how to approach it any more. Urgently need help.
I am guessing (completely out of thin air) that you are dealing with percentages. In which case you want to use x/100
beta.select(list(p=0.5, x=.08), list(p=0.9, x=.10))
# [1] 28.02 318.74
Either way, while it would be nice of beta.select to throw a more appropriate error message (or rather, to have an error check in there), the root of the issue is that your x's are out of bounds. (As #Didzis noted, the interval for a beta dist is [0, 1])

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