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Embedded Laplace: fix the GLM likelihoods for multiple observations per group and vector dispersion - #3424

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SteveBronder merged 4 commits into
stan-dev:developfrom
jachymb:bugfix/laplace-glm-likelihoods
Oct 1, 2026
Merged

SteveBronder merged 4 commits into
stan-dev:developfrom
jachymb:bugfix/laplace-glm-likelihoods

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@jachymb

@jachymb jachymb commented Sep 30, 2026 •

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AI disclosure: The code as well as this commentary was made with the help of claude Fable.

It's motivated by real issues I encountered.

Summary

Two separate bugs in the built-in Laplace GLM likelihoods, both invisible to the existing tests because those only ever use one observation per group (y_index = 1:n) and a scalar dispersion.

  • Poisson and Bernoulli (poisson_log_likelihood, bernoulli_logit_likelihood): the aggregation loop ran for (i = 0; i < theta.size(); i++) while indexing the per-observation arrays y[i], y_index[i]. With more observations than latent variables the extra observations were silently dropped (e.g. builtin −5.18 vs. correct −13.17 on the new Poisson test case); with fewer it read out of bounds. The loop now runs over y_index.size(). The Poisson normalizing constant is also now -sum(lgamma(y_i + 1)) per observation instead of per group; the two agree in the one-observation-per-group case, so no previously-correct result changes.
  • Negative binomial (neg_binomial_2_log_likelihood): the dispersion eta only worked as a scalar (multiply(n_per_group, eta) is a matrix product, log_sum_exp(theta_offset, log_eta) is elementwise, add(y_map, eta) is per observation — no vector length satisfies all three), while the Stan-language signature requires vector eta, making the built-in unusable from Stan (stanc3 master, CmdStan 2.39). eta may now be a scalar shared by all groups or a vector with one entry per group (size-checked against theta); the binomial-coefficient term indexes the per-group dispersion through y_index. The Stan Functions Reference documents eta as real, so a companion stanc3 PR (branch bugfix/laplace-neg-binomial-scalar-eta) changes the signature to real; accepting a per-group vector on the Math side additionally keeps rep_vector(phi, M) working with already-released stanc3.

The _rng variants reuse these likelihood structs and are fixed by the same change. The C++-only _summary variant has no per-observation index, so a per-group dispersion is not computable there; its eta is now explicitly constrained to a scalar (require_stan_scalar_t).

Tests

All new tests fail without the patch.

  • laplace_marginal_{poisson_log,bernoulli_logit,neg_binomial_log}_lpmf_test.cpp: a shared setup with 6 observations, 3 latent variables, group sizes 3/2/1 and a non-zero vector mean, compared against the general laplace_marginal with a per-observation reference likelihood built on the prim *_lpmf. Without the patch, Poisson and Bernoulli return wrong values (observations dropped) and the negative binomial with vector eta does not even compile for double (from Stan, var instantiations threw at runtime).
  • Negative binomial additionally: scalar eta with unequal group sizes matches the reference; a constant vector eta matches the scalar result; a wrong-length eta throws std::invalid_argument; expect_ad over vector eta and vector mean verifies derivatives (both must stay differentiable for use under optimize).
  • Poisson/Bernoulli additionally: expect_ad w.r.t. the mean with more observations than latents.

Ran the eight affected suites (the three above plus ..._summary_lpmf, the three _rng tests and laplace_latent_solve_test): 174 tests, 0 failures.

./runTests.py -j2 test/unit/math/laplace/laplace_marginal_poisson_log_lpmf_test.cpp \
  test/unit/math/laplace/laplace_marginal_bernoulli_logit_lpmf_test.cpp \
  test/unit/math/laplace/laplace_marginal_neg_binomial_log_lpmf_test.cpp

Side Effects

  • The Poisson marginal density value changes whenever a group has more than one observation — every such case returned a wrong value before, so no correct result is affected.
  • neg_binomial_2_log_likelihood_summary no longer accepts a non-scalar eta (it never produced a usable result with one). This needs as stanc3 fix as well.

Release notes

Fixed the embedded Laplace GLM likelihoods (laplace_marginal_{poisson_log,bernoulli_logit,neg_binomial_2_log}_lpmf and the corresponding _rng functions) to handle multiple observations per group: observations beyond the latent dimension were previously ignored. The negative binomial dispersion now accepts a scalar or one value per group, making the function usable from Stan, whose signature requires a vector.

Checklist

  • Copyright holder: Jachym Barvinek

    The copyright holder is typically you or your assignee, such as a university or company. By submitting this pull request, the copyright holder is agreeing to the license the submitted work under the following licenses:
    - Code: BSD 3-clause (https://opensource.org/licenses/BSD-3-Clause)
    - Documentation: CC-BY 4.0 (https://creativecommons.org/licenses/by/4.0/)

  • the basic tests are passing

    • unit tests pass (to run, use: ./runTests.py test/unit)
    • header checks pass, (make test-headers)
    • dependencies checks pass, (make test-math-dependencies)
    • docs build, (make doxygen)
    • code passes the built in C++ standards checks (make cpplint)
  • the code is written in idiomatic C++ and changes are documented in the doxygen

  • the new changes are tested

Jachym.Barvinek and others added 3 commits September 30, 2026 10:36
…ons per group

The Poisson and Bernoulli grouped likelihoods aggregate observations with
a loop bounded by theta.size() instead of the number of observations, so
any data set with more observations than latent variables is silently
truncated. The negative binomial likelihood only works with a scalar
dispersion, while the Stan signature requires a vector, making the
built-in unusable from Stan programs. The new tests compare against the
general laplace_marginal with per-observation prim lpmfs.
Poisson and Bernoulli: the aggregation loop ran over theta.size()
instead of the number of observations, silently dropping observations
beyond the latent dimension (and reading out of bounds when there were
fewer observations than latent variables). The loop now runs over
y_index. The Poisson normalizing constant is computed per observation
(lgamma(y_i + 1)) instead of per group so the returned value is the
actual marginal of y; the two agree for one observation per group,
which is all the previous tests exercised.

Negative binomial: the dispersion eta was silently assumed scalar; a
vector eta hit a matrix product and an elementwise op with mismatched
shapes, so the Stan-facing signature (vector) never worked. eta may
now be a scalar shared by all groups or a vector with one entry per
group, checked against the latent dimension. The summary variant has
no per-observation index, so it now requires a scalar eta explicitly.

The latent rng variants reuse these likelihood structs and are fixed
by the same change.
@stan-buildbot

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Name Old Result New Result Ratio Performance change( 1 - new / old )
stat_comp_benchmarks/benchmarks/gp_regr/gp_regr.stan 0.23 0.23 1.0 0.05% faster
stat_comp_benchmarks/benchmarks/gp_regr/gen_gp_data.stan 0.06 0.06 0.99 -0.84% slower
stat_comp_benchmarks/benchmarks/low_dim_gauss_mix/low_dim_gauss_mix.stan 6.33 6.32 1.0 0.18% faster
stat_comp_benchmarks/benchmarks/low_dim_corr_gauss/low_dim_corr_gauss.stan 0.02 0.02 0.97 -3.32% slower
stat_comp_benchmarks/benchmarks/irt_2pl/irt_2pl.stan 8.47 8.46 1.0 0.22% faster
stat_comp_benchmarks/benchmarks/gp_pois_regr/gp_pois_regr.stan 4.47 4.49 1.0 -0.32% slower
stat_comp_benchmarks/benchmarks/sir/sir.stan 165.54 165.34 1.0 0.12% faster
stat_comp_benchmarks/benchmarks/garch/garch.stan 0.89 0.89 1.0 0.21% faster
stat_comp_benchmarks/benchmarks/arma/arma.stan 0.71 0.7 1.0 0.26% faster
stat_comp_benchmarks/benchmarks/pkpd/one_comp_mm_elim_abs.stan 42.96 42.62 1.01 0.79% faster
stat_comp_benchmarks/benchmarks/pkpd/sim_one_comp_mm_elim_abs.stan 0.6 0.61 0.98 -1.78% slower
stat_comp_benchmarks/benchmarks/low_dim_gauss_mix_collapse/low_dim_gauss_mix_collapse.stan 20.83 20.82 1.0 0.02% faster
stat_comp_benchmarks/benchmarks/eight_schools/eight_schools.stan 0.11 0.11 0.98 -1.69% slower
stat_comp_benchmarks/benchmarks/arK/arK.stan 3.2 3.2 1.0 -0.03% slower
performance.compilation 390.22 387.26 1.01 0.76% faster
Mean result: 0.9965375768393461

Jenkins Console Log
Jenkins Build Stages
Commit hash: 118813c5727d596b3fccc7511ad88e8521ac898e

Machine information
Distributor ID:	Ubuntu
Description:	Ubuntu 20.04.3 LTS
Release:	20.04
Codename:	focal

CPU:

Architecture:                            x86_64
CPU op-mode(s):                          32-bit, 64-bit
Byte Order:                              Little Endian
Address sizes:                           43 bits physical, 48 bits virtual
CPU(s):                                  256
On-line CPU(s) list:                     0-255
Thread(s) per core:                      2
Core(s) per socket:                      64
Socket(s):                               2
NUMA node(s):                            2
Vendor ID:                               AuthenticAMD
CPU family:                              23
Model:                                   49
Model name:                              AMD EPYC 7742 64-Core Processor
Stepping:                                0
Frequency boost:                         enabled
CPU MHz:                                 1498.470
CPU max MHz:                             3416.0681
CPU min MHz:                             1500.0000
BogoMIPS:                                4491.85
Virtualization:                          AMD-V
L1d cache:                               4 MiB
L1i cache:                               4 MiB
L2 cache:                                64 MiB
L3 cache:                                512 MiB
NUMA node0 CPU(s):                       0-63,128-191
NUMA node1 CPU(s):                       64-127,192-255
Vulnerability Gather data sampling:      Not affected
Vulnerability Indirect target selection: Not affected
Vulnerability Itlb multihit:             Not affected
Vulnerability L1tf:                      Not affected
Vulnerability Mds:                       Not affected
Vulnerability Meltdown:                  Not affected
Vulnerability Mmio stale data:           Not affected
Vulnerability Old microcode:             Not affected
Vulnerability Reg file data sampling:    Not affected
Vulnerability Retbleed:                  Mitigation; untrained return thunk; SMT enabled with STIBP protection
Vulnerability Spec rstack overflow:      Mitigation; Safe RET
Vulnerability Spec store bypass:         Mitigation; Speculative Store Bypass disabled via prctl
Vulnerability Spectre v1:                Mitigation; usercopy/swapgs barriers and __user pointer sanitization
Vulnerability Spectre v2:                Mitigation; Retpolines; IBPB conditional; STIBP always-on; RSB filling; PBRSB-eIBRS Not affected; BHI Not affected
Vulnerability Srbds:                     Not affected
Vulnerability Tsa:                       Not affected
Vulnerability Tsx async abort:           Not affected
Vulnerability Vmscape:                   Mitigation; IBPB before exit to userspace
Flags:                                   fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush mmx fxsr sse sse2 ht syscall nx mmxext fxsr_opt pdpe1gb rdtscp lm constant_tsc rep_good nopl xtopology nonstop_tsc cpuid extd_apicid aperfmperf rapl pni pclmulqdq monitor ssse3 fma cx16 sse4_1 sse4_2 x2apic movbe popcnt aes xsave avx f16c rdrand lahf_lm cmp_legacy svm extapic cr8_legacy abm sse4a misalignsse 3dnowprefetch osvw ibs skinit wdt tce topoext perfctr_core perfctr_nb bpext perfctr_llc mwaitx cpb cat_l3 cdp_l3 hw_pstate ssbd mba ibrs ibpb stibp vmmcall fsgsbase bmi1 avx2 smep bmi2 cqm rdt_a rdseed adx smap clflushopt clwb sha_ni xsaveopt xsavec xgetbv1 xsaves cqm_llc cqm_occup_llc cqm_mbm_total cqm_mbm_local clzero irperf xsaveerptr rdpru wbnoinvd amd_ppin arat npt lbrv svm_lock nrip_save tsc_scale vmcb_clean flushbyasid decodeassists pausefilter pfthreshold avic v_vmsave_vmload vgif v_spec_ctrl umip rdpid overflow_recov succor smca sev sev_es

G++:

g++ (Ubuntu 9.4.0-1ubuntu1~20.04) 9.4.0
Copyright (C) 2019 Free Software Foundation, Inc.
This is free software; see the source for copying conditions.  There is NO
warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

Clang:

clang version 10.0.0-4ubuntu1 
Target: x86_64-pc-linux-gnu
Thread model: posix
InstalledDir: /usr/bin

@stan-buildbot

Copy link
Copy Markdown
Contributor
Name Old Result New Result Ratio Performance change( 1 - new / old )
stat_comp_benchmarks/benchmarks/gp_regr/gp_regr.stan 0.23 0.23 1.0 -0.4% slower
stat_comp_benchmarks/benchmarks/gp_regr/gen_gp_data.stan 0.06 0.06 1.02 2.17% faster
stat_comp_benchmarks/benchmarks/low_dim_corr_gauss/low_dim_corr_gauss.stan 0.02 0.02 1.03 3.09% faster
stat_comp_benchmarks/benchmarks/arma/arma.stan 0.71 0.7 1.01 1.06% faster
stat_comp_benchmarks/benchmarks/arK/arK.stan 3.2 3.19 1.0 0.36% faster
stat_comp_benchmarks/benchmarks/pkpd/one_comp_mm_elim_abs.stan 42.56 42.22 1.01 0.8% faster
stat_comp_benchmarks/benchmarks/pkpd/sim_one_comp_mm_elim_abs.stan 0.6 0.6 1.0 -0.24% slower
stat_comp_benchmarks/benchmarks/gp_pois_regr/gp_pois_regr.stan 4.48 4.47 1.0 0.32% faster
stat_comp_benchmarks/benchmarks/low_dim_gauss_mix_collapse/low_dim_gauss_mix_collapse.stan 20.84 20.96 0.99 -0.6% slower
stat_comp_benchmarks/benchmarks/garch/garch.stan 0.88 0.89 0.99 -0.5% slower
stat_comp_benchmarks/benchmarks/eight_schools/eight_schools.stan 0.11 0.11 1.0 -0.19% slower
stat_comp_benchmarks/benchmarks/irt_2pl/irt_2pl.stan 8.45 8.47 1.0 -0.21% slower
stat_comp_benchmarks/benchmarks/low_dim_gauss_mix/low_dim_gauss_mix.stan 6.31 6.32 1.0 -0.3% slower
stat_comp_benchmarks/benchmarks/sir/sir.stan 165.28 165.52 1.0 -0.15% slower
performance.compilation 386.96 409.23 0.95 -5.76% slower
Mean result: 0.9999567514925136

Jenkins Console Log
Jenkins Build Stages
Commit hash: aa6df8e4ae7f08ae18e2cf14e79f66bf8c558b8e

Machine information
Distributor ID:	Ubuntu
Description:	Ubuntu 20.04.3 LTS
Release:	20.04
Codename:	focal

CPU:

Architecture:                            x86_64
CPU op-mode(s):                          32-bit, 64-bit
Byte Order:                              Little Endian
Address sizes:                           43 bits physical, 48 bits virtual
CPU(s):                                  256
On-line CPU(s) list:                     0-255
Thread(s) per core:                      2
Core(s) per socket:                      64
Socket(s):                               2
NUMA node(s):                            2
Vendor ID:                               AuthenticAMD
CPU family:                              23
Model:                                   49
Model name:                              AMD EPYC 7742 64-Core Processor
Stepping:                                0
Frequency boost:                         enabled
CPU MHz:                                 1497.132
CPU max MHz:                             3416.0681
CPU min MHz:                             1500.0000
BogoMIPS:                                4491.56
Virtualization:                          AMD-V
L1d cache:                               4 MiB
L1i cache:                               4 MiB
L2 cache:                                64 MiB
L3 cache:                                512 MiB
NUMA node0 CPU(s):                       0-63,128-191
NUMA node1 CPU(s):                       64-127,192-255
Vulnerability Gather data sampling:      Not affected
Vulnerability Indirect target selection: Not affected
Vulnerability Itlb multihit:             Not affected
Vulnerability L1tf:                      Not affected
Vulnerability Mds:                       Not affected
Vulnerability Meltdown:                  Not affected
Vulnerability Mmio stale data:           Not affected
Vulnerability Old microcode:             Not affected
Vulnerability Reg file data sampling:    Not affected
Vulnerability Retbleed:                  Mitigation; untrained return thunk; SMT enabled with STIBP protection
Vulnerability Spec rstack overflow:      Mitigation; Safe RET
Vulnerability Spec store bypass:         Mitigation; Speculative Store Bypass disabled via prctl
Vulnerability Spectre v1:                Mitigation; usercopy/swapgs barriers and __user pointer sanitization
Vulnerability Spectre v2:                Mitigation; Retpolines; IBPB conditional; STIBP always-on; RSB filling; PBRSB-eIBRS Not affected; BHI Not affected
Vulnerability Srbds:                     Not affected
Vulnerability Tsa:                       Not affected
Vulnerability Tsx async abort:           Not affected
Vulnerability Vmscape:                   Mitigation; IBPB before exit to userspace
Flags:                                   fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush mmx fxsr sse sse2 ht syscall nx mmxext fxsr_opt pdpe1gb rdtscp lm constant_tsc rep_good nopl xtopology nonstop_tsc cpuid extd_apicid aperfmperf rapl pni pclmulqdq monitor ssse3 fma cx16 sse4_1 sse4_2 x2apic movbe popcnt aes xsave avx f16c rdrand lahf_lm cmp_legacy svm extapic cr8_legacy abm sse4a misalignsse 3dnowprefetch osvw ibs skinit wdt tce topoext perfctr_core perfctr_nb bpext perfctr_llc mwaitx cpb cat_l3 cdp_l3 hw_pstate ssbd mba ibrs ibpb stibp vmmcall fsgsbase bmi1 avx2 smep bmi2 cqm rdt_a rdseed adx smap clflushopt clwb sha_ni xsaveopt xsavec xgetbv1 xsaves cqm_llc cqm_occup_llc cqm_mbm_total cqm_mbm_local clzero irperf xsaveerptr rdpru wbnoinvd amd_ppin arat npt lbrv svm_lock nrip_save tsc_scale vmcb_clean flushbyasid decodeassists pausefilter pfthreshold avic v_vmsave_vmload vgif v_spec_ctrl umip rdpid overflow_recov succor smca sev sev_es

G++:

g++ (Ubuntu 9.4.0-1ubuntu1~20.04) 9.4.0
Copyright (C) 2019 Free Software Foundation, Inc.
This is free software; see the source for copying conditions.  There is NO
warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

Clang:

clang version 10.0.0-4ubuntu1 
Target: x86_64-pc-linux-gnu
Thread model: posix
InstalledDir: /usr/bin

@SteveBronder
SteveBronder merged commit 6110e53 into stan-dev:develop Oct 1, 2026
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3 participants