Introduction
Stan recently got Laplace approximation algorithm (see Stan Reference Manual). Specificlly Stan makes the normal approximation in the unconstrained space, samples from the approximation, transforms the sample to the constrained space, and returns the sample. The method has option jacobian
that can be used to select whether the Jacobian adjustment is included or not.
This case study provides visual illustration of Jacobian adjustment for a parameter transformation, why it is needed for the Laplace approximation, and effect of jacobian
option in Stan log_prob
and log_prob_grad
functions. This notebook intentionally doesn’t go in the mathematical details of measure and probability theory.
Load packages
library("rprojroot")
root<-has_file(".casestudies-root")$make_fix_file()
library(tidyr)
library(dplyr)
library(cmdstanr)
options(mc.cores = 1)
library(ggplot2)
library(bayesplot)
theme_set(bayesplot::theme_default(base_family = "sans", base_size=16))
theme_remove_yaxis <- theme(axis.text.y = element_blank(),
axis.line.y=element_blank(),
axis.ticks.y=element_blank())
set1 <- RColorBrewer::brewer.pal(7, "Set1")
library(latex2exp)
library(posterior)
SEED <- 48927 # set random seed for reproducibility
Example model and posterior
For the illustration Binomial model is used with observed data \(N=10, y=9\).
data_bin <- list(N = 10, y = 9)
As Beta(1,1) prior is used the posterior is Beta(9+1,1+1), but for illustration we also use Stan to find the mode of the posterior, sample from the posterior, and compare different posterior density values that we can ask Stan to compute. We use compile_model_methods=TRUE
to be able to access log_prob()
method later.
code_binom <- root("Jacobian","binom.stan")
writeLines(readLines(code_binom))
// Binomial model with beta(1,1) prior
data {
int<lower=0> N; // number of experiments
int<lower=0> y; // number of successes
}
parameters {
real<lower=0,upper=1> theta; // probability of success in range (0,1)
}
model {
// model block creates the log density to be sampled
theta ~ beta(1, 1); // prior
y ~ binomial(N, theta); // observation model / likelihood
// the notation using ~ is syntactic sugar for
// target += beta_lpdf(theta | 1, 1); // lpdf for continuous theta
// target += binomial_lpmf(y | N, theta); // lpmf for discrete y
// target is the log density to be sampled
}
model_bin <- cmdstan_model(stan_file = code_binom,
compile_model_methods=TRUE, force_recompile=TRUE)
Default MCMC sampling (as this is an easy posterior we skip showing the results for the convergence diagnostics).
fit_bin <- model_bin$sample(data = data_bin, seed = SEED, refresh=0)
Running MCMC with 4 sequential chains...
Chain 1 finished in 0.0 seconds.
Chain 2 finished in 0.0 seconds.
Chain 3 finished in 0.0 seconds.
Chain 4 finished in 0.0 seconds.
All 4 chains finished successfully.
Mean chain execution time: 0.0 seconds.
Total execution time: 0.5 seconds.
Default optimization finds the maximum of the posterior.
opt_bin <- model_bin$optimize(data = data_bin, seed = SEED)
Initial log joint probability = -14.4243
Iter log prob ||dx|| ||grad|| alpha alpha0 # evals Notes
7 -3.25083 0.000570368 2.99771e-06 1 1 10
Optimization terminated normally:
Convergence detected: relative gradient magnitude is below tolerance
Finished in 0.1 seconds.
The following plot shows the exact posterior (black) and grey vertical line shows the MAP, that is, posterior mode in the constrained space. Stan optimizing finds correctly the mode.
df_bin <- data.frame(theta=plogis(seq(-4,6,length.out=100))) |>
mutate(pdfbeta=dbeta(theta,9+1,1+1))
ggplot(data=df_bin,aes(x=theta,y=pdfbeta))+
geom_line()+
geom_vline(xintercept=(opt_bin$draws()[1,'theta']),color="gray")+
labs(x=TeX(r'($\theta$)'),y='')+
theme_remove_yaxis+
annotate("text", x=0.81,y=3.3,label=TeX(r'($p(\theta|y)$)'),color=1,size=5,hjust=1)+
annotate("text", x=0.89,y=4.3,label='mode',color="gray",size=5,hjust=1)
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)
Posterior log_prob
The CmdStanR fit object fit_bin
provides also access to log_prob and log_prob_grad functions. The documentation of log_prob says
Using model's log_prob and grad_log_prob take values from the
unconstrained space of model parameters and (by default) return
values in the same space.
And one of the options say
jacobian_adjustment: (logical) Whether to include the log-density
adjustments from un/constraining variables.
The functions accepts also jacobian
. We can compute the exact posterior density values in grid using Stan and log_prob with jacobian=FALSE
. We create a helper function.
fit_pdf <- function(th, fit) {
exp(fit$log_prob(fit$unconstrain_variables(list(theta=th)),
jacobian=FALSE))
}
df_bin |>
mutate(pdfstan=sapply(theta, fit_pdf, fit_bin)) |>
ggplot(aes(x=theta,y=pdfbeta))+
geom_line()+
geom_line(aes(y=pdfstan),color=set1[1])+
geom_vline(xintercept=(opt_bin$draws()[1,'theta']),color="gray")+
labs(x=TeX(r'($\theta$)'),y='')+
theme_remove_yaxis+
annotate("text", x=0.81,y=3.3,label=TeX(r'($p(\theta|y)$)'),color=1,size=5,hjust=1)+
annotate("text", x=0.89,y=4.3,label='mode',color="gray",size=5,hjust=1)+
annotate("text", x=0.85,y=.2,label=TeX(r'($q(\theta|y)$=exp(lp__))'),color=set1[1],size=5,hjust=1)
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)
The pdf from Stan is much lower than the true posterior, because it is unnormalized posterior as in general computing the normalization term is non-trivial. In this case the true posterior has analytic solution for the normalizing constant \[
\frac{\Gamma(N+2)}{\Gamma(y+1)\Gamma(N-y+1)}=110
\] and we get exact match by multiplying the density returned by Stan by 110.
df_bin |>
mutate(pdfstan=sapply(theta, fit_pdf, fit_bin)*110) |>
ggplot(aes(x=theta,y=pdfbeta))+
geom_line()+
geom_line(aes(y=pdfstan),color=set1[1])+
geom_vline(xintercept=(opt_bin$draws()[1,'theta']),color="gray")+
labs(x=TeX(r'($\theta$)'),y='')+
theme_remove_yaxis+
annotate("text", x=0.81,y=3.3,label=TeX(r'($p(\theta|y)$)'),color=1,size=5,hjust=1)+
annotate("text", x=0.89,y=4.3,label='mode',color="gray",size=5,hjust=1)+
annotate("text", x=0.79,y=2.9,label=TeX(r'($q(\theta|y)\cdot 110$)'),color=set1[1],size=5,hjust=1)
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)
Thus if someone cares about the posterior mode in the constrained space they need jacobian=FALSE
.
Side note: the normalizing constant is not needed for MCMC and not needed when estimating various expectations using MCMC draws, but is used here for illustration.
Constraint and parameter transformation
In this example, theta is constrained to be between 0 and 1
real<lower=0,upper=1> theta; // probability of success in range (0,1)
To avoid problems with constraints in optimization and MCMC, Stan switches under the hood to unconstrained parameterization using logit transformation \[
\mbox{logit}(\theta) = \log\left(\frac{\theta}{1-\theta}\right)
\].
In the above fit_pdf
function we used Stan’s unconstrain_pars
function to transform theta to logit(theta). In R we can also define logit function as the inverse of the logistic function.
logit <- qlogis
We now switch looking at the distributions in the unconstrained space.
df_bin |>
mutate(pdfstan=sapply(theta, fit_pdf, fit_bin)*110) |>
ggplot(aes(x=logit(theta),y=pdfbeta))+
geom_line()+
geom_line(aes(y=pdfstan),color=set1[1])+
geom_vline(xintercept=logit(opt_bin$draws()[1,'theta']),color="gray")+
xlim(-2.9,6.5)+
labs(x=TeX(r'($\logit(\theta)$)'),y='')+
theme_remove_yaxis+
annotate("text", x=logit(0.81),y=3.3,label=TeX(r'($p(\theta|y)$)'),color=1,size=5,hjust=1)+
annotate("text", x=logit(0.89),y=4.3,label='mode',color="gray",size=5,hjust=1)+
annotate("text", x=logit(0.79),y=2.9,label=TeX(r'($q(\theta|y)\cdot 110$)'),color=set1[1],size=5,hjust=1)
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)
The above plot shows now the function that Stan optimizing optimizes in the unconstrained space, and the MAP is the logit of the MAP in the constrained space. Thus if someone cares about the posterior mode in the constrained, but is doing the optimization in unconstrained space they still need jacobian=FALSE
.
Parameter transformation and Jacobian adjustment
That function shown above is not the posterior of logit(theta)
. As the transformation is non-linear we need to take into account the distortion caused by the transform. The density must be multiplied by a Jacobian adjustment equal to the absolute determinant of the Jacobian of the transform. See more in Stan User’s Guide. The Jacobian for lower and upper bounded scalar is given in Stan Reference Manual, and for (0,1)-bounded it is \[
\theta (1-\theta).
\]
Stan can do this transformation for us when we call log_prob with jacobian=TRUE
fit_pdf_jacobian <- function(th, fit) {
exp(fit$log_prob(fit$unconstrain_variables(list(theta=th)),
jacobian=TRUE))
}
We compare the true adjusted posterior density in logit(theta) space to non-adjusted density function. For visualization purposes we scale the functions to have the same maximum, so they are not normalized distributions.
df_bin <- df_bin |>
mutate(pdfstan_nonadjusted=sapply(theta, fit_pdf, fit_bin),
pdfstan_jacobian=sapply(theta, fit_pdf_jacobian, fit_bin))
ggplot(data=df_bin,aes(x=logit(theta),y=pdfstan_nonadjusted/max(pdfstan_nonadjusted)))+
geom_line(color=set1[1])+
geom_line(aes(y=pdfstan_jacobian/max(pdfstan_jacobian)),color=set1[2])+
xlim(-2.9,6.5)+
labs(x=TeX(r'($\logit(\theta)$)'),y='')+
theme_remove_yaxis+
annotate("text", x=1.15,y=0.95,label=TeX('jacobian=TRUE'),color=set1[2],size=5,hjust=1)+
annotate("text", x=1.15,y=0.9,label=TeX(r'($q(\logit(\theta)|y) = q(\theta|y)\theta(1-\theta)$)'),color=set1[2],size=5,hjust=1)+
annotate("text", x=2.9,y=0.95,label="jacobian=FALSE",color=set1[1],size=5,hjust=0)+
annotate("text", x=2.9,y=0.9,label=TeX(r'($q(\theta|y) \neq q(\logit(\theta)|y)$)'),color=set1[1],size=5,hjust=0)
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)
Stan MCMC samples from the blue distribution with jacobian=TRUE
. The mode of that distribution is different from the mode of jacobian=FALSE
. In general the mode is not invariant to transformations.
Wrong normal approximation
Stan optimizing/optimize finds the mode of jacobian=FALSE
(in some intefaces jacobian=FALSE
). rstanarm has had an option to do normal approximation at the mode jacobian=FALSE
in the unconstrained space by computing the Hessian of jacobian=FALSE
and then sampling independent draws from that normal distribution. We can do the same in CmdStanR with $laplace()
method and option jacobian=FALSE
, but this is the wrong thing to do.
lap_bin <- model_bin$laplace(data = data_bin, jacobian=FALSE,
seed = SEED, draws=4000, refresh=0)
Finished in 0.1 seconds.
Finished in 0.1 seconds.
lap_draws = lap_bin$draws(format = "df")
We add the current normal approximation to the plot with dashed line.
lap_draws <- lap_draws |>
mutate(logp=lp__-max(lp__),
logg=lp_approx__-max(lp_approx__))
ggplot(data=df_bin,aes(x=logit(theta),y=pdfstan_nonadjusted/max(pdfstan_nonadjusted)))+
geom_line(color=set1[1])+
geom_line(aes(y=pdfstan_jacobian/max(pdfstan_jacobian)),color=set1[2])+
geom_line(data=lap_draws,aes(x=logit(theta),y=exp(logg)),color=set1[1],linetype="dashed")+
xlim(-2.9,6.5)+
labs(x=TeX(r'($\logit(\theta)$)'),y='')+
theme_remove_yaxis+
annotate("text", x=1.15,y=0.95,label=TeX('jacobian=TRUE'),color=set1[2],size=5,hjust=1)+
annotate("text", x=1.15,y=0.9,label=TeX(r'($q(\logit(\theta)|y) = q(\theta|y)\theta(1-\theta)$)'),color=set1[2],size=5,hjust=1)+
annotate("text", x=2.9,y=0.95,label="jacobian=FALSE",color=set1[1],size=5,hjust=0)+
annotate("text", x=2.9,y=0.9,label=TeX(r'($q(\theta|y) \neq q(\logit(\theta)|y)$)'),color=set1[1],size=5,hjust=0)
![](data:image/png;base64,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)
The problem is that this normal approximation is quite different from the true posterior (with jacobian=TRUE
).
Normal approximation
Recently the normal approximation method was implemented in Stan itself with the name laplace
. This approximation uses by default jacobian=TRUE
. We can use Laplace approximation with CmdStanR method $laplace()
, which by default is using he option jacobian=TRUE
, which is the correct thing to do.
lap_bin2 <- model_bin$laplace(data=data_bin, seed=SEED, draws=4000, refresh=0)
Finished in 0.1 seconds.
Finished in 0.1 seconds.
lap_draws2 <- lap_bin2$draws(format = "df")
We add the second normal approximation to the plot dashed line.
lap_draws2 <- lap_draws2 |>
mutate(logp=lp__-max(lp__),
logg=lp_approx__-max(lp_approx__))
ggplot(data=df_bin,aes(x=logit(theta),y=pdfstan_nonadjusted/max(pdfstan_nonadjusted)))+
geom_line(color=set1[1])+
geom_line(aes(y=pdfstan_jacobian/max(pdfstan_jacobian)),color=set1[2])+
geom_line(data=lap_draws,aes(x=logit(theta),y=exp(logg)),color=set1[1],linetype="dashed")+
geom_line(data=lap_draws2,aes(x=logit(theta),y=exp(logg)),color=set1[2],linetype="dashed")+
xlim(-2.9,6.5)+
labs(x=TeX(r'($\logit(\theta)$)'),y='')+
theme_remove_yaxis+
annotate("text", x=1.15,y=0.95,label=TeX('jacobian=TRUE'),color=set1[2],size=5,hjust=1)+
annotate("text", x=1.15,y=0.9,label=TeX(r'($q(\logit(\theta)|y) = q(\theta|y)\theta(1-\theta)$)'),color=set1[2],size=5,hjust=1)+
annotate("text", x=2.9,y=0.95,label="jacobian=FALSE",color=set1[1],size=5,hjust=0)+
annotate("text", x=2.9,y=0.9,label=TeX(r'($q(\theta|y) \neq q(\logit(\theta)|y)$)'),color=set1[1],size=5,hjust=0)
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)
Transforming draws to the constrained space
The draws from the normal approximation (shown with rug lines in op and bottom) can be easily transformed back to the constrained space, and illustrated with kernel density estimates. Before that we plot the kernel density estimates of the draws in the unconstrained space to show that this etimate is reasonable.
ggplot(data=df_bin,aes(x=logit(theta),y=pdfstan_nonadjusted/max(pdfstan_nonadjusted)))+
geom_line(color=set1[1])+
geom_line(aes(y=pdfstan_jacobian/max(pdfstan_jacobian)),color=set1[2])+
geom_line(data=lap_draws,aes(x=logit(theta),y=exp(logg)),color=set1[1],linetype="dashed")+
geom_line(data=lap_draws2,aes(x=logit(theta),y=exp(logg)),color=set1[2],linetype="dashed")+
geom_rug(data=lap_draws[1:400,],aes(x=logit(theta),y=0), color=set1[1], alpha=0.2, sides='t')+
geom_rug(data=lap_draws2[1:400,],aes(x=logit(theta),y=0), color=set1[2], alpha=0.2, sides='b')+
geom_density(data=lap_draws,aes(x=logit(theta),after_stat(scaled)),adjust=2,color=set1[1],linetype="dotdash")+
geom_density(data=lap_draws2,aes(x=logit(theta),after_stat(scaled)),adjust=2,color=set1[2],linetype="dotdash")+
xlim(-2.9,6.5)+
labs(x=TeX(r'($\logit(\theta)$)'),y='')+
theme_remove_yaxis+
annotate("text", x=1.15,y=0.95,label=TeX('jacobian=TRUE'),color=set1[2],size=5,hjust=1)+
annotate("text", x=1.15,y=0.9,label=TeX(r'($q(\logit(\theta)|y) = q(\theta|y)\theta(1-\theta)$)'),color=set1[2],size=5,hjust=1)+
annotate("text", x=2.9,y=0.95,label="jacobian=FALSE",color=set1[1],size=5,hjust=0)+
annotate("text", x=2.9,y=0.9,label=TeX(r'($q(\theta|y) \neq q(\logit(\theta)|y)$)'),color=set1[1],size=5,hjust=0)
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)
When we plot kernel density estimates of the logit transformed draws (draws shown with rug lines in top and bottom) in the constrained space, it’s clear which draws approximate better the true posterior (black line)
ggplot(data=df_bin,aes(x=(theta),y=pdfbeta/max(pdfbeta)))+
geom_line()+
geom_density(data=lap_draws,aes(x=(theta),after_stat(scaled)),adjust=1,color=set1[1],linetype="dotdash")+
geom_density(data=lap_draws2,aes(x=(theta),after_stat(scaled)),adjust=1,color=set1[2],linetype="dotdash")+
geom_rug(data=lap_draws[1:400,],aes(x=(theta),y=0), color=set1[1], alpha=0.2, sides='t')+
geom_rug(data=lap_draws2[1:400,],aes(x=(theta),y=0), color=set1[2], alpha=0.2, sides='b')+
labs(x=TeX(r'($\theta$)'),y='')+
theme_remove_yaxis
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Importance resampling
$laplace()
method returns also unormalized target log density (lp__
) and normal approximation log density (lp_approx__
) for the draws from the normal approximation. These can be used to compute importance ratios exp(lp__-lp_approax__)
which can be used to do importance resampling. We can do the importance resampling using the posterior package.
lap_draws2is <- lap_draws2 |>
weight_draws(lap_draws2$lp__-lap_draws2$lp_approx__, log=TRUE) |>
resample_draws()
The kernel density estimate using importance resampled draws is even close to the true distribution.
ggplot(data=df_bin,aes(x=(theta),y=pdfbeta/max(pdfbeta)))+
geom_line()+
labs(x=TeX(r'($\theta$)'),y='')+
theme_remove_yaxis+
geom_density(data=lap_draws2is,aes(x=(theta),after_stat(scaled)),adjust=1,color=set1[2],linetype="dotdash")+
geom_rug(data=lap_draws2is[1:400,],aes(x=(theta),y=0), color=set1[2], alpha=0.2, sides='b')
![](data:image/png;base64,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)
Discussion
The normal approximation and importance resampling did work quite well in this simple one dimensional case, but in general the normal approximation for importance sampling works well only in quite low dimensional settings or when the posterior in the unconstrained space is very close to normal.
---
title: "Laplace method and Jacobian of parameter transformation"
author: "[Aki Vehtari](https://users.aalto.fi/~ave/)"
date: "First version 2021-01-21. Last modified `r format(Sys.Date())`."
output:
  html_document:
    theme: readable
    toc: true
    toc_depth: 2
    toc_float: true
    code_download: true
---

## Introduction

Stan recently got Laplace approximation algorithm (see [Stan
Reference
Manual](https://mc-stan.org/docs/reference-manual/laplace-approximation.html)).
Specificlly Stan makes the normal approximation in the
unconstrained space, samples from the approximation, transforms the
sample to the constrained space, and returns the sample. The method
has option `jacobian` that can be used to select whether the
Jacobian adjustment is included or not.

This case study provides visual illustration of Jacobian adjustment
for a parameter transformation, why it is needed for the Laplace
approximation, and effect of `jacobian` option in Stan `log_prob`
and `log_prob_grad` functions. This notebook intentionally doesn't
go in the mathematical details of measure and probability theory.


````{r setup, include=FALSE}
knitr::opts_chunk$set(message=FALSE, error=FALSE, warning=FALSE, comment=NA, cache=FALSE)
````

#### Load packages

````{r}
library("rprojroot")
root<-has_file(".casestudies-root")$make_fix_file()
library(tidyr) 
library(dplyr) 
library(cmdstanr) 
options(mc.cores = 1)
library(ggplot2)
library(bayesplot)
theme_set(bayesplot::theme_default(base_family = "sans", base_size=16))
theme_remove_yaxis <- theme(axis.text.y = element_blank(),
                            axis.line.y=element_blank(),
                            axis.ticks.y=element_blank())
set1 <- RColorBrewer::brewer.pal(7, "Set1")
library(latex2exp)
library(posterior)
SEED <- 48927 # set random seed for reproducibility
````

## Example model and posterior

For the illustration Binomial model is used with observed data
$N=10, y=9$.

````{r}
data_bin <- list(N = 10, y = 9)
````

As Beta(1,1) prior is used the posterior is Beta(9+1,1+1), but for
illustration we also use Stan to find the mode of the posterior,
sample from the posterior, and compare different posterior density
values that we can ask Stan to compute. We use
`compile_model_methods=TRUE` to be able to access `log_prob()`
method later.

````{r}
code_binom <- root("Jacobian","binom.stan")
writeLines(readLines(code_binom))
model_bin <- cmdstan_model(stan_file = code_binom,
                           compile_model_methods=TRUE, force_recompile=TRUE)
````

Default MCMC sampling (as this is an easy posterior we skip showing
the results for the convergence diagnostics).

````{r}
fit_bin <- model_bin$sample(data = data_bin, seed = SEED, refresh=0)
````

Default optimization finds the maximum of the posterior.

````{r}
opt_bin <- model_bin$optimize(data = data_bin, seed = SEED)
````

The following plot shows the exact posterior (black) and grey
vertical line shows the MAP, that is, posterior mode in the
constrained space. Stan optimizing finds correctly the mode.

````{r}
df_bin <- data.frame(theta=plogis(seq(-4,6,length.out=100))) |>
  mutate(pdfbeta=dbeta(theta,9+1,1+1))
ggplot(data=df_bin,aes(x=theta,y=pdfbeta))+
  geom_line()+
  geom_vline(xintercept=(opt_bin$draws()[1,'theta']),color="gray")+
  labs(x=TeX(r'($\theta$)'),y='')+
  theme_remove_yaxis+
  annotate("text", x=0.81,y=3.3,label=TeX(r'($p(\theta|y)$)'),color=1,size=5,hjust=1)+
  annotate("text", x=0.89,y=4.3,label='mode',color="gray",size=5,hjust=1)
````

## Posterior log_prob

The CmdStanR fit object `fit_bin` provides also access to log_prob
and log_prob_grad functions. The documentation of log_prob says

    Using model's log_prob and grad_log_prob take values from the
    unconstrained space of model parameters and (by default) return
    values in the same space.

And one of the options say

    jacobian_adjustment: (logical) Whether to include the log-density
    adjustments from un/constraining variables.

The functions accepts also `jacobian`. We can compute the exact
posterior density values in grid using Stan and log_prob with
`jacobian=FALSE`. We create a helper function.

````{r}
fit_pdf <- function(th, fit) {
  exp(fit$log_prob(fit$unconstrain_variables(list(theta=th)),
                   jacobian=FALSE))
}

df_bin |>
  mutate(pdfstan=sapply(theta, fit_pdf, fit_bin)) |>
  ggplot(aes(x=theta,y=pdfbeta))+
  geom_line()+
  geom_line(aes(y=pdfstan),color=set1[1])+
  geom_vline(xintercept=(opt_bin$draws()[1,'theta']),color="gray")+
  labs(x=TeX(r'($\theta$)'),y='')+
  theme_remove_yaxis+
  annotate("text", x=0.81,y=3.3,label=TeX(r'($p(\theta|y)$)'),color=1,size=5,hjust=1)+
  annotate("text", x=0.89,y=4.3,label='mode',color="gray",size=5,hjust=1)+
  annotate("text", x=0.85,y=.2,label=TeX(r'($q(\theta|y)$=exp(lp__))'),color=set1[1],size=5,hjust=1)
````


The pdf from Stan is much lower than the true posterior, because it
is unnormalized posterior as in general computing the normalization
term is non-trivial. In this case the true posterior has analytic
solution for the normalizing constant
$$
\frac{\Gamma(N+2)}{\Gamma(y+1)\Gamma(N-y+1)}=110
$$
and we get exact match by multiplying the density returned by
Stan by 110.

````{r}
df_bin |>
  mutate(pdfstan=sapply(theta, fit_pdf, fit_bin)*110) |>
  ggplot(aes(x=theta,y=pdfbeta))+
  geom_line()+
  geom_line(aes(y=pdfstan),color=set1[1])+
  geom_vline(xintercept=(opt_bin$draws()[1,'theta']),color="gray")+
  labs(x=TeX(r'($\theta$)'),y='')+
  theme_remove_yaxis+
  annotate("text", x=0.81,y=3.3,label=TeX(r'($p(\theta|y)$)'),color=1,size=5,hjust=1)+
  annotate("text", x=0.89,y=4.3,label='mode',color="gray",size=5,hjust=1)+
  annotate("text", x=0.79,y=2.9,label=TeX(r'($q(\theta|y)\cdot 110$)'),color=set1[1],size=5,hjust=1)
````

Thus if someone cares about the posterior mode in the constrained
space they need `jacobian=FALSE`.

Side note: the normalizing constant is not needed for MCMC and not
needed when estimating various expectations using MCMC draws, but
is used here for illustration.

## Constraint and parameter transformation

In this example, theta is constrained to be between 0 and 1
```
 real<lower=0,upper=1> theta; // probability of success in range (0,1)
```
To avoid problems with constraints in optimization and MCMC, Stan
switches under the hood to unconstrained parameterization using
logit transformation
$$
\mbox{logit}(\theta) = \log\left(\frac{\theta}{1-\theta}\right)
$$.

In the above `fit_pdf` function we used Stan's `unconstrain_pars`
function to transform theta to logit(theta). In R we can also
define logit function as the inverse of the logistic function.

````{r}
logit <- qlogis
````

We now switch looking at the distributions in the unconstrained space.

````{r}
df_bin |>
  mutate(pdfstan=sapply(theta, fit_pdf, fit_bin)*110) |>
  ggplot(aes(x=logit(theta),y=pdfbeta))+
  geom_line()+
  geom_line(aes(y=pdfstan),color=set1[1])+
  geom_vline(xintercept=logit(opt_bin$draws()[1,'theta']),color="gray")+
  xlim(-2.9,6.5)+
  labs(x=TeX(r'($\logit(\theta)$)'),y='')+
  theme_remove_yaxis+
  annotate("text", x=logit(0.81),y=3.3,label=TeX(r'($p(\theta|y)$)'),color=1,size=5,hjust=1)+
  annotate("text", x=logit(0.89),y=4.3,label='mode',color="gray",size=5,hjust=1)+
  annotate("text", x=logit(0.79),y=2.9,label=TeX(r'($q(\theta|y)\cdot 110$)'),color=set1[1],size=5,hjust=1)
````

The above plot shows now the function that Stan optimizing
optimizes in the unconstrained space, and the MAP is the logit of
the MAP in the constrained space. Thus if someone cares about the
posterior mode in the constrained, but is doing the optimization in
unconstrained space they still need `jacobian=FALSE`.

## Parameter transformation and Jacobian adjustment

That function shown above is not the posterior of `logit(theta)`. As
the transformation is non-linear we need to take into account the
distortion caused by the transform. The density must be multiplied by a
Jacobian adjustment equal to the absolute determinant of the
Jacobian of the transform. See more in [Stan User's
Guide](https://mc-stan.org/docs/2_26/stan-users-guide/changes-of-variables.html).
The Jacobian for lower and upper bounded scalar is given in [Stan
Reference
Manual](https://mc-stan.org/docs/2_25/reference-manual/logit-transform-jacobian-section.html), and for (0,1)-bounded it is
$$
\theta (1-\theta).
$$

Stan can do this transformation for us when we call log_prob with
`jacobian=TRUE`

````{r}
fit_pdf_jacobian <- function(th, fit) {
  exp(fit$log_prob(fit$unconstrain_variables(list(theta=th)),
                   jacobian=TRUE))
}
````

We compare the true adjusted posterior density in logit(theta)
space to non-adjusted density function. For visualization purposes
we scale the functions to have the same maximum, so they are not
normalized distributions.

````{r}
df_bin <- df_bin |>
  mutate(pdfstan_nonadjusted=sapply(theta, fit_pdf, fit_bin),
         pdfstan_jacobian=sapply(theta, fit_pdf_jacobian, fit_bin))
ggplot(data=df_bin,aes(x=logit(theta),y=pdfstan_nonadjusted/max(pdfstan_nonadjusted)))+
  geom_line(color=set1[1])+
  geom_line(aes(y=pdfstan_jacobian/max(pdfstan_jacobian)),color=set1[2])+
  xlim(-2.9,6.5)+
  labs(x=TeX(r'($\logit(\theta)$)'),y='')+
  theme_remove_yaxis+
  annotate("text", x=1.15,y=0.95,label=TeX('jacobian=TRUE'),color=set1[2],size=5,hjust=1)+
  annotate("text", x=1.15,y=0.9,label=TeX(r'($q(\logit(\theta)|y)  = q(\theta|y)\theta(1-\theta)$)'),color=set1[2],size=5,hjust=1)+
  annotate("text", x=2.9,y=0.95,label="jacobian=FALSE",color=set1[1],size=5,hjust=0)+
  annotate("text", x=2.9,y=0.9,label=TeX(r'($q(\theta|y) \neq q(\logit(\theta)|y)$)'),color=set1[1],size=5,hjust=0)
````

Stan MCMC samples from the blue distribution with
`jacobian=TRUE`. The mode of that distribution is different from
the mode of `jacobian=FALSE`. In general the mode is not invariant
to transformations.

## Wrong normal approximation

Stan optimizing/optimize finds the mode of `jacobian=FALSE` (in
some intefaces `jacobian=FALSE`). rstanarm has had an option to do
normal approximation at the mode `jacobian=FALSE` in the
unconstrained space by computing the Hessian of `jacobian=FALSE`
and then sampling independent draws from that normal
distribution. We can do the same in CmdStanR with `$laplace()`
method and option `jacobian=FALSE`, but this is the wrong thing to
do.

````{r}
lap_bin <- model_bin$laplace(data = data_bin, jacobian=FALSE,
                             seed = SEED, draws=4000, refresh=0)
lap_draws = lap_bin$draws(format = "df")
````

We add the current normal approximation to the plot with dashed line.

````{r}
lap_draws <- lap_draws |>
  mutate(logp=lp__-max(lp__),
         logg=lp_approx__-max(lp_approx__))
ggplot(data=df_bin,aes(x=logit(theta),y=pdfstan_nonadjusted/max(pdfstan_nonadjusted)))+
  geom_line(color=set1[1])+
  geom_line(aes(y=pdfstan_jacobian/max(pdfstan_jacobian)),color=set1[2])+
  geom_line(data=lap_draws,aes(x=logit(theta),y=exp(logg)),color=set1[1],linetype="dashed")+
  xlim(-2.9,6.5)+
  labs(x=TeX(r'($\logit(\theta)$)'),y='')+
  theme_remove_yaxis+
  annotate("text", x=1.15,y=0.95,label=TeX('jacobian=TRUE'),color=set1[2],size=5,hjust=1)+
  annotate("text", x=1.15,y=0.9,label=TeX(r'($q(\logit(\theta)|y) = q(\theta|y)\theta(1-\theta)$)'),color=set1[2],size=5,hjust=1)+
  annotate("text", x=2.9,y=0.95,label="jacobian=FALSE",color=set1[1],size=5,hjust=0)+
  annotate("text", x=2.9,y=0.9,label=TeX(r'($q(\theta|y) \neq q(\logit(\theta)|y)$)'),color=set1[1],size=5,hjust=0)
````

The problem is that this normal approximation is quite different
from the true posterior (with `jacobian=TRUE`).

## Normal approximation

Recently the normal approximation method was implemented in Stan
itself with the name `laplace`. This approximation uses by default
`jacobian=TRUE`. We can use Laplace approximation with CmdStanR
method `$laplace()`, which by default is using he option
`jacobian=TRUE`, which is the correct thing to do.

````{r}
lap_bin2 <- model_bin$laplace(data=data_bin, seed=SEED, draws=4000, refresh=0)
lap_draws2 <- lap_bin2$draws(format = "df")
````

We add the second normal approximation to the plot dashed line.

````{r}
lap_draws2 <- lap_draws2 |>
  mutate(logp=lp__-max(lp__),
         logg=lp_approx__-max(lp_approx__))
ggplot(data=df_bin,aes(x=logit(theta),y=pdfstan_nonadjusted/max(pdfstan_nonadjusted)))+
  geom_line(color=set1[1])+
  geom_line(aes(y=pdfstan_jacobian/max(pdfstan_jacobian)),color=set1[2])+
  geom_line(data=lap_draws,aes(x=logit(theta),y=exp(logg)),color=set1[1],linetype="dashed")+
  geom_line(data=lap_draws2,aes(x=logit(theta),y=exp(logg)),color=set1[2],linetype="dashed")+
  xlim(-2.9,6.5)+
  labs(x=TeX(r'($\logit(\theta)$)'),y='')+
  theme_remove_yaxis+
  annotate("text", x=1.15,y=0.95,label=TeX('jacobian=TRUE'),color=set1[2],size=5,hjust=1)+
  annotate("text", x=1.15,y=0.9,label=TeX(r'($q(\logit(\theta)|y) = q(\theta|y)\theta(1-\theta)$)'),color=set1[2],size=5,hjust=1)+
  annotate("text", x=2.9,y=0.95,label="jacobian=FALSE",color=set1[1],size=5,hjust=0)+
  annotate("text", x=2.9,y=0.9,label=TeX(r'($q(\theta|y) \neq q(\logit(\theta)|y)$)'),color=set1[1],size=5,hjust=0)
````

## Transforming draws to the constrained space

The draws from the normal approximation (shown with rug lines in op
and bottom) can be easily transformed back to the constrained
space, and illustrated with kernel density estimates. Before that
we plot the kernel density estimates of the draws in the
unconstrained space to show that this etimate is reasonable.

````{r}
ggplot(data=df_bin,aes(x=logit(theta),y=pdfstan_nonadjusted/max(pdfstan_nonadjusted)))+
  geom_line(color=set1[1])+
  geom_line(aes(y=pdfstan_jacobian/max(pdfstan_jacobian)),color=set1[2])+
  geom_line(data=lap_draws,aes(x=logit(theta),y=exp(logg)),color=set1[1],linetype="dashed")+
  geom_line(data=lap_draws2,aes(x=logit(theta),y=exp(logg)),color=set1[2],linetype="dashed")+
  geom_rug(data=lap_draws[1:400,],aes(x=logit(theta),y=0), color=set1[1], alpha=0.2, sides='t')+
  geom_rug(data=lap_draws2[1:400,],aes(x=logit(theta),y=0), color=set1[2], alpha=0.2, sides='b')+
  geom_density(data=lap_draws,aes(x=logit(theta),after_stat(scaled)),adjust=2,color=set1[1],linetype="dotdash")+
  geom_density(data=lap_draws2,aes(x=logit(theta),after_stat(scaled)),adjust=2,color=set1[2],linetype="dotdash")+
  xlim(-2.9,6.5)+
  labs(x=TeX(r'($\logit(\theta)$)'),y='')+
  theme_remove_yaxis+
  annotate("text", x=1.15,y=0.95,label=TeX('jacobian=TRUE'),color=set1[2],size=5,hjust=1)+
  annotate("text", x=1.15,y=0.9,label=TeX(r'($q(\logit(\theta)|y) = q(\theta|y)\theta(1-\theta)$)'),color=set1[2],size=5,hjust=1)+
  annotate("text", x=2.9,y=0.95,label="jacobian=FALSE",color=set1[1],size=5,hjust=0)+
  annotate("text", x=2.9,y=0.9,label=TeX(r'($q(\theta|y) \neq q(\logit(\theta)|y)$)'),color=set1[1],size=5,hjust=0)
````

When we plot kernel density estimates of the logit transformed
draws (draws shown with rug lines in top and bottom) in the
constrained space, it's clear which draws approximate better the
true posterior (black line)

````{r}
ggplot(data=df_bin,aes(x=(theta),y=pdfbeta/max(pdfbeta)))+
  geom_line()+
  geom_density(data=lap_draws,aes(x=(theta),after_stat(scaled)),adjust=1,color=set1[1],linetype="dotdash")+
  geom_density(data=lap_draws2,aes(x=(theta),after_stat(scaled)),adjust=1,color=set1[2],linetype="dotdash")+
  geom_rug(data=lap_draws[1:400,],aes(x=(theta),y=0), color=set1[1], alpha=0.2, sides='t')+
  geom_rug(data=lap_draws2[1:400,],aes(x=(theta),y=0), color=set1[2], alpha=0.2, sides='b')+
  labs(x=TeX(r'($\theta$)'),y='')+
  theme_remove_yaxis
````

## Importance resampling

`$laplace()` method returns also unormalized target log density
(`lp__`) and normal approximation log density (`lp_approx__`) for
the draws from the normal approximation. These can be used to
compute importance ratios `exp(lp__-lp_approax__)` which can be
used to do importance resampling. We can do the importance
resampling using the posterior package.

````{r}
lap_draws2is <- lap_draws2 |>
  weight_draws(lap_draws2$lp__-lap_draws2$lp_approx__, log=TRUE) |>
  resample_draws()
````

The kernel density estimate using importance resampled draws is
even close to the true distribution.

````{r}
ggplot(data=df_bin,aes(x=(theta),y=pdfbeta/max(pdfbeta)))+
  geom_line()+
  labs(x=TeX(r'($\theta$)'),y='')+
  theme_remove_yaxis+
  geom_density(data=lap_draws2is,aes(x=(theta),after_stat(scaled)),adjust=1,color=set1[2],linetype="dotdash")+
  geom_rug(data=lap_draws2is[1:400,],aes(x=(theta),y=0), color=set1[2], alpha=0.2, sides='b')
````

## Discussion

The normal approximation and importance resampling did work quite
well in this simple one dimensional case, but in general the normal
approximation for importance sampling works well only in quite low
dimensional settings or when the posterior in the unconstrained
space is very close to normal.

