The $sample() method of a CmdStanModel object runs the default MCMC algorithm in CmdStan (algorithm=hmc engine=nuts), to produce a set of draws from the posterior distribution of a model conditioned on some data. ## Usage $sample(
data = NULL,
seed = NULL,
refresh = NULL,
init = NULL,
save_latent_dynamics = FALSE,
output_dir = NULL,
chains = 4,
parallel_chains = getOption("mc.cores", 1),
threads_per_chain = NULL,
iter_warmup = NULL,
iter_sampling = NULL,
save_warmup = FALSE,
thin = NULL,
max_treedepth = NULL,
adapt_engaged = TRUE,
adapt_delta = NULL,
step_size = NULL,
metric = NULL,
metric_file = NULL,
inv_metric = NULL,
init_buffer = NULL,
term_buffer = NULL,
window = NULL,
fixed_param = FALSE,
validate_csv = TRUE,
show_messages = TRUE
)


## Arguments shared by all fitting methods

The following arguments can be specified for any of the fitting methods (sample, optimize, variational). Arguments left at NULL default to the default used by the installed version of CmdStan.

• data: (multiple options) The data to use. One of the following:

• A named list of R objects (like for RStan). Internally this list is then written to JSON for CmdStan using write_stan_json().

• A path to a data file compatible with CmdStan (JSON or R dump). See the appendices in the CmdStan manual for details on using these formats.

• seed: (positive integer) A seed for the (P)RNG to pass to CmdStan.

• refresh: (non-negative integer) The number of iterations between printed screen updates.

• init: (multiple options) The initialization method for the parameters block:

• A real number x>0 initializes randomly between [-x,x] (on the unconstrained parameter space);

• 0 initializes to 0;

• A character vector of paths (one per chain) to JSON or Rdump files. See write_stan_json() to write R objects to JSON files compatible with CmdStan.

• A list of lists. For MCMC the list should contain a sublist for each chain. For optimization and variational inference there should be just one sublist. The sublists should have named elements corresponding to the parameters for which you are specifying initial values. See Examples.

• A function that returns a single list with names corresponding to the parameters for which you are specifying initial values. The function can take no arguments or a single argument chain_id. For MCMC, if the function has argument chain_id it will be supplied with the chain id (from 1 to number of chains) when called to generate the initial values. See Examples.

• save_latent_dynamics: (logical) Should auxiliary diagnostic information about the latent dynamics be written to temporary diagnostic CSV files? This argument replaces CmdStan's diagnostic_file argument and the content written to CSV is controlled by the user's CmdStan installation and not CmdStanR (and for some algorithms no content may be written). The default is save_latent_dynamics=FALSE, which is appropriate for almost every use case (all diagnostics recommended for users to check are always saved, e.g., divergences for HMC). To save the temporary files created when save_latent_dynamics=TRUE see the $save_latent_dynamics_files() method. • output_dir: (string) A path to a directory where CmdStan should write its output CSV files. For interactive use this can typically be left at NULL (temporary directory) since CmdStanR makes the CmdStan output (e.g., posterior draws and diagnostics) available in R via methods of the fitted model objects. The behavior of output_dir is as follows: • If NULL (the default), then the CSV files are written to a temporary directory and only saved permanently if the user calls one of the $save_* methods of the fitted model object (e.g., $save_output_files()). These temporary files are removed when the fitted model object is garbage collected. • If a path, then the files are created in output_dir with names corresponding the defaults used by $save_output_files() (and similar methods like $save_latent_dynamics_files()). ## Arguments unique to the sample method In addition to the arguments above, the $sample() method also has its own set of arguments.

The following three arguments are offered by CmdStanR but do not correspond to arguments in CmdStan:

• chains: (positive integer) The number of Markov chains to run. The default is 4.

• parallel_chains: (positive integer) The maximum number of MCMC chains to run in parallel. If parallel_chains is not specified then the default is to look for the option "mc.cores", which can be set for an entire R session by options(mc.cores=value). If the "mc.cores" option has not been set then the default is 1.

• threads_per_chain: (positive integer) If the model was compiled with threading support, the number of threads to use in parallelized sections within an MCMC chain (e.g., when using the Stan functions reduce_sum() or map_rect()). This is in contrast with parallel_chains, which specifies the number of chains to run in parallel. The actual number of CPU cores used use is parallel_chains*threads_per_chain. For an example of using threading see the Stan case study Reduce Sum: A Minimal Example.

• show_messages: (logical) When TRUE (the default), prints all informational messages, for example rejection of the current proposal. Disable if you wish silence these messages, but this is not recommended unless you are very sure that the model is correct up to numerical error. If the messages are silenced then the $output() method of the resulting fit object can be used to display all the silenced messages. • validate_csv: (logical) When TRUE (the default), validate the sampling results in the csv files. Disable if you wish to manually read in the sampling results and validate them yourself, for example using read_cmdstan_csv(). The rest of the arguments correspond to arguments offered by CmdStan, although some names are slightly different. They are described briefly here and in greater detail in the CmdStan manual. Arguments left at NULL default to the default used by the installed version of CmdStan. • iter_sampling: (positive integer) The number of post-warmup iterations to run per chain. • iter_warmup: (positive integer) The number of warmup iterations to run per chain. • save_warmup: (logical) Should warmup iterations be saved? The default is FALSE. If save_warmup=TRUE then you can use$draws(inc_warmup=TRUE) to include warmup when accessing the draws.

• thin: (positive integer) The period between saved samples. This should be left at its default (no thinning) unless memory is a problem.

• max_treedepth: (positive integer) The maximum allowed tree depth for the NUTS engine. See the Tree Depth section of the CmdStan manual for more details.

• adapt_engaged: (logical) Do warmup adaptation? The default is TRUE. If a precomputed inverse metric is specified via the inv_metric argument (or metric_file) then, if adapt_engaged=TRUE, Stan will use the provided inverse metric just as an initial guess during adaptation. To turn off adaptation when using a precomputed inverse metric set adapt_engaged=FALSE.

• adapt_delta: (real in (0,1)) The adaptation target acceptance statistic.

• step_size: (positive real) The initial step size for the discrete approximation to continuous Hamiltonian dynamics. This is further tuned during warmup.

• metric: (character) One of "diag_e", "dense_e", or "unit_e", specifying the geometry of the base manifold. See the Euclidean Metric section of the CmdStan documentation for more details. To specify a precomputed (inverse) metric, see the inv_metric argument below.

• metric_file: (character) A character vector containing paths to JSON or Rdump files (one per chain) compatible with CmdStan that contain precomputed inverse metrics. The metric_file argument is inherited from CmdStan but is confusing in that the entry in JSON or Rdump file(s) must be named inv_metric, referring to the inverse metric. We recommend instead using CmdStanR's inv_metric argument (see below) to specify an inverse metric directly using a vector or matrix from your R session.

• inv_metric: (vector, matrix) A vector (if metric='diag_e') or a matrix (if metric='dense_e') for initializing the inverse metric, which can be used as an alternative to the metric_file argument. A vector is interpreted as a diagonal metric. The inverse metric is usually set to an estimate of the posterior covariance. See the adapt_engaged argument above for details on (and control over) how specifying a precomputed inverse metric interacts with adaptation.

• init_buffer: (nonnegative integer) Width of initial fast timestep adaptation interval during warmup.

• term_buffer: (nonnegative integer) Width of final fast timestep adaptation interval during warmup.

• window: (nonnegative integer) Initial width of slow timestep/metric adaptation interval.

• fixed_param: (logical) When TRUE, call CmdStan with argument "algorithm=fixed_param". The default is FALSE. The fixed parameter sampler generates a new sample without changing the current state of the Markov chain; only generated quantities may change. This can be useful when, for example, trying to generate pseudo-data using the generated quantities block. If the parameters block is empty then using fixed_param=TRUE is mandatory. When fixed_param=TRUE the chains and parallel_chains arguments will be set to 1.

The $sample() method returns a CmdStanMCMC object. ## See also The CmdStanR website (mc-stan.org/cmdstanr) for online documentation and tutorials. The Stan and CmdStan documentation: Other CmdStanModel methods: model-method-compile, model-method-generate-quantities, model-method-optimize, model-method-variational ## Examples # \dontrun{ library(cmdstanr) library(posterior) library(bayesplot) color_scheme_set("brightblue") # Set path to cmdstan # (Note: if you installed CmdStan via install_cmdstan() with default settings # then setting the path is unnecessary but the default below should still work. # Otherwise use the path argument to specify the location of your # CmdStan installation.) set_cmdstan_path(path = NULL)#> CmdStan path set to: /Users/jgabry/.cmdstanr/cmdstan-2.24.0 # Create a CmdStanModel object from a Stan program, # here using the example model that comes with CmdStan file <- file.path(cmdstan_path(), "examples/bernoulli/bernoulli.stan") mod <- cmdstan_model(file)#> Model executable is up to date!mod$print()#> data {
#>   int<lower=0> N;
#>   int<lower=0,upper=1> y[N];
#> }
#> parameters {
#>   real<lower=0,upper=1> theta;
#> }
#> model {
#>   theta ~ beta(1,1);  // uniform prior on interval 0,1
#>   y ~ bernoulli(theta);
#> }
# Data as a named list (like RStan)
stan_data <- list(N = 10, y = c(0,1,0,0,0,0,0,0,0,1))

# Run MCMC using the 'sample' method
fit_mcmc <- mod$sample( data = stan_data, seed = 123, chains = 2, parallel_chains = 2 )#> Running MCMC with 2 parallel chains... #> #> Chain 1 Iteration: 1 / 2000 [ 0%] (Warmup) #> Chain 1 Iteration: 100 / 2000 [ 5%] (Warmup) #> Chain 1 Iteration: 200 / 2000 [ 10%] (Warmup) #> Chain 1 Iteration: 300 / 2000 [ 15%] (Warmup) #> Chain 1 Iteration: 400 / 2000 [ 20%] (Warmup) #> Chain 1 Iteration: 500 / 2000 [ 25%] (Warmup) #> Chain 1 Iteration: 600 / 2000 [ 30%] (Warmup) #> Chain 1 Iteration: 700 / 2000 [ 35%] (Warmup) #> Chain 1 Iteration: 800 / 2000 [ 40%] (Warmup) #> Chain 1 Iteration: 900 / 2000 [ 45%] (Warmup) #> Chain 1 Iteration: 1000 / 2000 [ 50%] (Warmup) #> Chain 1 Iteration: 1001 / 2000 [ 50%] (Sampling) #> Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) #> Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) #> Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) #> Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) #> Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) #> Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) #> Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) #> Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) #> Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) #> Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) #> Chain 2 Iteration: 1 / 2000 [ 0%] (Warmup) #> Chain 2 Iteration: 100 / 2000 [ 5%] (Warmup) #> Chain 2 Iteration: 200 / 2000 [ 10%] (Warmup) #> Chain 2 Iteration: 300 / 2000 [ 15%] (Warmup) #> Chain 2 Iteration: 400 / 2000 [ 20%] (Warmup) #> Chain 2 Iteration: 500 / 2000 [ 25%] (Warmup) #> Chain 2 Iteration: 600 / 2000 [ 30%] (Warmup) #> Chain 2 Iteration: 700 / 2000 [ 35%] (Warmup) #> Chain 2 Iteration: 800 / 2000 [ 40%] (Warmup) #> Chain 2 Iteration: 900 / 2000 [ 45%] (Warmup) #> Chain 2 Iteration: 1000 / 2000 [ 50%] (Warmup) #> Chain 2 Iteration: 1001 / 2000 [ 50%] (Sampling) #> Chain 2 Iteration: 1100 / 2000 [ 55%] (Sampling) #> Chain 2 Iteration: 1200 / 2000 [ 60%] (Sampling) #> Chain 2 Iteration: 1300 / 2000 [ 65%] (Sampling) #> Chain 2 Iteration: 1400 / 2000 [ 70%] (Sampling) #> Chain 2 Iteration: 1500 / 2000 [ 75%] (Sampling) #> Chain 2 Iteration: 1600 / 2000 [ 80%] (Sampling) #> Chain 2 Iteration: 1700 / 2000 [ 85%] (Sampling) #> Chain 2 Iteration: 1800 / 2000 [ 90%] (Sampling) #> Chain 2 Iteration: 1900 / 2000 [ 95%] (Sampling) #> Chain 2 Iteration: 2000 / 2000 [100%] (Sampling) #> Chain 1 finished in 0.1 seconds. #> Chain 2 finished in 0.1 seconds. #> #> Both chains finished successfully. #> Mean chain execution time: 0.1 seconds. #> Total execution time: 0.1 seconds. # Use 'posterior' package for summaries fit_mcmc$summary()#> # A tibble: 2 x 10
#>   variable   mean median    sd   mad      q5    q95  rhat ess_bulk ess_tail
#>   <chr>     <dbl>  <dbl> <dbl> <dbl>   <dbl>  <dbl> <dbl>    <dbl>    <dbl>
#> 1 lp__     -7.28  -7.00  0.739 0.342 -8.80   -6.75   1.00     815.     621.
#> 2 theta     0.254  0.235 0.123 0.123  0.0809  0.485  1.00     752.     589.
# Get posterior draws
draws <- fit_mcmc$draws() print(draws)#> # A draws_array: 1000 iterations, 2 chains, and 2 variables #> , , variable = lp__ #> #> chain #> iteration 1 2 #> 1 -6.8 -6.8 #> 2 -7.3 -6.8 #> 3 -7.1 -7.0 #> 4 -7.1 -8.5 #> 5 -7.1 -7.8 #> #> , , variable = theta #> #> chain #> iteration 1 2 #> 1 0.30 0.230 #> 2 0.13 0.199 #> 3 0.16 0.165 #> 4 0.37 0.074 #> 5 0.15 0.103 #> #> # ... with 995 more iterations # Convert to data frame using posterior::as_draws_df as_draws_df(draws)#> # A draws_df: 1000 iterations, 2 chains, and 2 variables #> lp__ theta #> 1 -6.8 0.30 #> 2 -7.3 0.13 #> 3 -7.1 0.16 #> 4 -7.1 0.37 #> 5 -7.1 0.15 #> 6 -7.5 0.12 #> 7 -7.2 0.38 #> 8 -6.8 0.22 #> 9 -7.0 0.34 #> 10 -6.8 0.22 #> # ... with 1990 more draws #> # ... hidden meta-columns {'.chain', '.iteration', '.draw'} # Plot posterior using bayesplot (ggplot2) mcmc_hist(fit_mcmc$draws("theta"))#> stat_bin() using bins = 30. Pick better value with binwidth.
# Call CmdStan's diagnose and stansummary utilities
fit_mcmc$cmdstan_diagnose()#> Running bin/diagnose \ #> /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/bernoulli-202008031245-1-5e5b86.csv \ #> /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/bernoulli-202008031245-2-5e5b86.csv #> Processing csv files: /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/bernoulli-202008031245-1-5e5b86.csv, /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/bernoulli-202008031245-2-5e5b86.csv #> #> Checking sampler transitions treedepth. #> Treedepth satisfactory for all transitions. #> #> Checking sampler transitions for divergences. #> No divergent transitions found. #> #> Checking E-BFMI - sampler transitions HMC potential energy. #> E-BFMI satisfactory for all transitions. #> #> Effective sample size satisfactory. #> #> Split R-hat values satisfactory all parameters. #> #> Processing complete, no problems detected.fit_mcmc$cmdstan_summary()#> Running bin/stansummary \
#>   /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/bernoulli-202008031245-1-5e5b86.csv \
#>   /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/bernoulli-202008031245-2-5e5b86.csv
#> Input files: /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/bernoulli-202008031245-1-5e5b86.csv, /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/bernoulli-202008031245-2-5e5b86.csv
#> Inference for Stan model: bernoulli_model
#> 2 chains: each with iter=(1000,1000); warmup=(0,0); thin=(1,1); 2000 iterations saved.
#>
#> Warmup took (0.0060, 0.0060) seconds, 0.012 seconds total
#> Sampling took (0.016, 0.017) seconds, 0.033 seconds total
#>
#>                 Mean     MCSE  StdDev     5%   50%   95%    N_Eff  N_Eff/s    R_hat
#>
#> lp__            -7.3  3.1e-02    0.74   -8.8  -7.0  -6.8      586    17762      1.0
#> accept_stat__   0.92  5.0e-03    0.14   0.61  0.97   1.0  7.3e+02  2.2e+04  1.0e+00
#> stepsize__       1.0  9.0e-02   0.090   0.93   1.1   1.1  1.0e+00  3.0e+01  2.6e+13
#> treedepth__      1.4  1.2e-02    0.52    1.0   1.0   2.0  1.9e+03  5.6e+04  1.0e+00
#> n_leapfrog__     2.6  4.0e-01     1.5    1.0   3.0   7.0  1.4e+01  4.2e+02  1.0e+00
#> divergent__     0.00      nan    0.00   0.00  0.00  0.00      nan      nan      nan
#> energy__         7.8  4.0e-02     1.0    6.8   7.4  10.0  6.9e+02  2.1e+04  1.0e+00
#>
#> theta           0.25  4.5e-03    0.12  0.081  0.23  0.49      755    22885     1.00
#>
#> Samples were drawn using hmc with nuts.
#> For each parameter, N_Eff is a crude measure of effective sample size,
#> and R_hat is the potential scale reduction factor on split chains (at
#> convergence, R_hat=1).
# For models fit using MCMC, if you like working with RStan's stanfit objects
# then you can create one with rstan::read_stan_csv()

# stanfit <- rstan::read_stan_csv(fit_mcmc$output_files()) # Run 'optimize' method to get a point estimate (default is Stan's LBFGS algorithm) # and also demonstrate specifying data as a path to a file instead of a list my_data_file <- file.path(cmdstan_path(), "examples/bernoulli/bernoulli.data.json") fit_optim <- mod$optimize(data = my_data_file, seed = 123)#> method = optimize
#>   optimize
#>     algorithm = lbfgs (Default)
#>       lbfgs
#>         init_alpha = 0.001 (Default)
#>         tol_obj = 9.9999999999999998e-13 (Default)
#>         tol_rel_obj = 10000 (Default)
#>         tol_grad = 1e-08 (Default)
#>         tol_rel_grad = 10000000 (Default)
#>         tol_param = 1e-08 (Default)
#>         history_size = 5 (Default)
#>     iter = 2000 (Default)
#>     save_iterations = 0 (Default)
#> id = 1
#> data
#>   file = /Users/jgabry/.cmdstanr/cmdstan-2.24.0/examples/bernoulli/bernoulli.data.json
#> init = 2 (Default)
#> random
#>   seed = 123
#> output
#>   file = /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/bernoulli-202008031245-1-caf92d.csv
#>   diagnostic_file =  (Default)
#>   refresh = 100 (Default)
#>
#> Initial log joint probability = -9.51104
#>     Iter      log prob        ||dx||      ||grad||       alpha      alpha0  # evals  Notes
#>        6      -5.00402   0.000103557   2.55661e-07           1           1        9
#> Optimization terminated normally:
#>   Convergence detected: relative gradient magnitude is below tolerance
#> Finished in  0.1 seconds.
fit_optim$summary()#> # A tibble: 2 x 2 #> variable estimate #> <chr> <dbl> #> 1 lp__ -5.00 #> 2 theta 0.2 # Run 'variational' method to approximate the posterior (default is meanfield ADVI) fit_vb <- mod$variational(data = stan_data, seed = 123)#> method = variational
#>   variational
#>     algorithm = meanfield (Default)
#>       meanfield
#>     iter = 10000 (Default)
#>     grad_samples = 1 (Default)
#>     elbo_samples = 100 (Default)
#>     eta = 1 (Default)
#>     adapt
#>       engaged = 1 (Default)
#>       iter = 50 (Default)
#>     tol_rel_obj = 0.01 (Default)
#>     eval_elbo = 100 (Default)
#>     output_samples = 1000 (Default)
#> id = 1
#> data
#>   file = /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/standata-205e5ad1eb1.json
#> init = 2 (Default)
#> random
#>   seed = 123
#> output
#>   file = /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/bernoulli-202008031245-1-b9f960.csv
#>   diagnostic_file =  (Default)
#>   refresh = 100 (Default)
#>
#> ------------------------------------------------------------
#> EXPERIMENTAL ALGORITHM:
#>   This procedure has not been thoroughly tested and may be unstable
#>   or buggy. The interface is subject to change.
#> ------------------------------------------------------------
#>
#>
#>
#> Gradient evaluation took 1e-05 seconds
#> 1000 transitions using 10 leapfrog steps per transition would take 0.1 seconds.
#> Adjust your expectations accordingly!
#>
#>
#> Begin eta adaptation.
#> Iteration:   1 / 250 [  0%]  (Adaptation)
#> Iteration:  50 / 250 [ 20%]  (Adaptation)
#> Iteration: 100 / 250 [ 40%]  (Adaptation)
#> Iteration: 150 / 250 [ 60%]  (Adaptation)
#> Iteration: 200 / 250 [ 80%]  (Adaptation)
#> Success! Found best value [eta = 1] earlier than expected.
#>
#> Begin stochastic gradient ascent.
#>   iter             ELBO   delta_ELBO_mean   delta_ELBO_med   notes
#>    100           -6.262             1.000            1.000
#>    200           -6.263             0.500            1.000
#>    300           -6.307             0.336            0.007   MEDIAN ELBO CONVERGED
#>
#> Drawing a sample of size 1000 from the approximate posterior...
#> COMPLETED.
#> Finished in  0.1 seconds.
fit_vb$summary()#> # A tibble: 3 x 7 #> variable mean median sd mad q5 q95 #> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> #> 1 lp__ -7.18 -6.94 0.588 0.259 -8.36 -6.75 #> 2 lp_approx__ -0.515 -0.221 0.692 0.303 -2.06 -0.00257 #> 3 theta 0.263 0.246 0.115 0.113 0.106 0.481 # Plot approximate posterior using bayesplot mcmc_hist(fit_vb$draws("theta"))#> stat_bin() using bins = 30. Pick better value with binwidth.

# Specifying initial values as a function
fit_mcmc_w_init_fun <- mod$sample( data = stan_data, seed = 123, chains = 2, refresh = 0, init = function() list(theta = runif(1)) )#> Running MCMC with 2 sequential chains... #> #> Chain 1 finished in 0.1 seconds. #> Chain 2 finished in 0.1 seconds. #> #> Both chains finished successfully. #> Mean chain execution time: 0.1 seconds. #> Total execution time: 0.2 seconds.fit_mcmc_w_init_fun_2 <- mod$sample(
data = stan_data,
seed = 123,
chains = 2,
refresh = 0,
init = function(chain_id) {
# silly but demonstrates optional use of chain_id
list(theta = 1 / (chain_id + 1))
}
)#> Running MCMC with 2 sequential chains...
#>
#> Chain 1 finished in 0.1 seconds.
#> Chain 2 finished in 0.1 seconds.
#>
#> Both chains finished successfully.
#> Mean chain execution time: 0.1 seconds.
#> Total execution time: 0.2 seconds.fit_mcmc_w_init_fun_2$init()#> [[1]] #> [[1]]$theta
#> [1] 0.5
#>
#>
#> [[2]]
#> [[2]]$theta #> [1] 0.3333333 #> #> # Specifying initial values as a list of lists fit_mcmc_w_init_list <- mod$sample(
data = stan_data,
seed = 123,
chains = 2,
refresh = 0,
init = list(
list(theta = 0.75), # chain 1
list(theta = 0.25)  # chain 2
)
)#> Running MCMC with 2 sequential chains...
#>
#> Chain 1 finished in 0.1 seconds.
#> Chain 2 finished in 0.1 seconds.
#>
#> Both chains finished successfully.
#> Mean chain execution time: 0.1 seconds.
#> Total execution time: 0.2 seconds.fit_optim_w_init_list <- mod$optimize( data = stan_data, seed = 123, init = list( list(theta = 0.75) ) )#> method = optimize #> optimize #> algorithm = lbfgs (Default) #> lbfgs #> init_alpha = 0.001 (Default) #> tol_obj = 9.9999999999999998e-13 (Default) #> tol_rel_obj = 10000 (Default) #> tol_grad = 1e-08 (Default) #> tol_rel_grad = 10000000 (Default) #> tol_param = 1e-08 (Default) #> history_size = 5 (Default) #> iter = 2000 (Default) #> save_iterations = 0 (Default) #> id = 1 #> data #> file = /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/standata-205e52f4c009.json #> init = /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/init-1-205e426bb96b.json #> random #> seed = 123 #> output #> file = /var/folders/h6/14xy_35x4wd2tz542dn0qhtc0000gn/T/RtmpAcsuBs/bernoulli-202008031245-1-5a41de.csv #> diagnostic_file = (Default) #> refresh = 100 (Default) #> #> Initial log joint probability = -11.6657 #> Iter log prob ||dx|| ||grad|| alpha alpha0 # evals Notes #> 6 -5.00402 0.000237915 9.55309e-07 1 1 9 #> Optimization terminated normally: #> Convergence detected: relative gradient magnitude is below tolerance #> Finished in 0.1 seconds.fit_optim_w_init_list$init()#> [[1]]
#> [[1]]\$theta
#> [1] 0.75
#>
#> # }