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Point estimation: trustworthy find_MAP, new find_MLE - #1218

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@fmuia fmuia commented Aug 17, 2026

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Replaces #1192 with a clean, linear history. Same work, rebased on current main.

  • find_MAP delegated to pm.find_MAP with no start, so PyMC used its own (t=2.0, a=2.0) and ignored HSSM's processed initial values. On many models the gradient is non-finite there while the logp is finite, so PyMC's start check passed, L-BFGS-B aborted at nit=0, and the untouched start was cached as model.map with no warning.
  • find_MAP now starts from model.initvals, audits the optimizer result, and never caches a failed run (warns and returns None, or raises under strict=True). sample(initvals="map") raises instead of silently falling back.
  • New find_MLE() maximizes the observed log-likelihood only. Refuses hierarchical and pm.Potential models, with allow_unidentified=True as an escape hatch.
  • Both return a PointEstimate (a dict subclass, so existing initvals= code keeps working) carrying .params, .logp, .se, .to_dataframe(), .to_datatree(). New n_starts, strict, se, seed, method, progressbar; the optimizer that actually ran is recorded.
  • Standard errors return NaN when the finite-difference stencil leaves the model's support, rather than reporting the curvature of a smooth continuation as a confident interval.
  • New "Find MAP and MLE point estimates" tutorial and hssm.PointEstimate reference page.

Verified: 80 fast tests, tutorial notebook executes clean (14/14 cells), ruff / ruff-format / mypy / pyrefly all pass.

Known issue, tracked separately and not introduced here: in roughly 1 run in 500 on freshly simulated data, L-BFGS-B stalls and reports success=True while returning a point 13–46 nats below the optimum. It affects find_MAP and find_MLE about equally. Cause is the default t = 0.025 start sitting two orders of magnitude below its optimum in log space; a data-informed start plus a bounded restart loop fixes it (0/6000 in testing). This makes test_find_mle_recovers_parameters and test_mle_beats_map_on_the_same_objective flaky at roughly the same rate.

Closes #1102


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Summary by CodeRabbit

  • New Features

    • Added MAP and MLE point-estimation workflows with configurable optimizers, multi-start support, convergence reporting, scoring, and standard errors.
    • Added PointEstimate results with metadata, serialization, dataframe, and ArviZ-compatible exports.
    • Added cached MAP/MLE estimates and improved sampler initialization from MAP results.
  • Documentation

    • Added a comprehensive MAP/MLE tutorial with examples and visualizations.
    • Expanded API reference and changelog coverage for estimation features and related plotting behavior.

fmuia added 6 commits August 16, 2026 13:33
- New `hssm.optimize` module holding the machinery shared by point
  estimation: `PointEstimate` (a `dict` subclass, so it still works
  anywhere a plain point dict did, notably `sample(initvals=...)`), the
  start-value/jitter helpers, the convergence audit, the `float32`
  safety net, an `scipy.optimize.minimize` driver and standard errors.
- Jitter is applied in transformed space, where the transforms leave no
  bound to cross; a relative jitter on the constrained scale takes
  `z = 0.95` to `1.045`, which PyMC then rejects as a bad start.
- Gradients go through `rewrite_pregrad` first, as `pymc.Model.dlogp`
  does, so HSSM differentiates the same stabilized graph PyMC does.
- `PointEstimate` is exported at the top level.

Refs #1102
#1102)

`find_MAP` delegated to `pm.find_MAP` with no starting point, so PyMC
rebuilt its own (`t=2.0`, `a=2.0`) and ignored HSSM's processed initial
values. For many models -- including a plain hierarchical DDM on
`cavanagh_theta` at float64 -- the *gradient* of the log-density is
non-finite there while the logp is finite, so PyMC's start check passed,
L-BFGS-B aborted at `nit=0`, and the untouched start was stored as
`model.map` with no warning.

- `start` now defaults to `model.initvals`.
- The optimizer result is audited; a failed run warns and returns `None`
  (or raises under `strict=True`) and is never cached.
- `sample(initvals="map")` raises instead of silently falling back to
  PyMC's default point when the MAP did not converge.
- New `n_starts`, `strict`, `se`, `seed` and `method` parameters; the
  method that *actually* ran is recorded, since a likelihood without a
  gradient is switched to Powell behind the caller's back.
- Only `SamplingError` is treated as "PyMC rejected this start", so a
  bad `method=` surfaces as the `ValueError` SciPy raised rather than a
  convergence warning.
- `sample(sampler="laplace")` warns: bambi's laplace path offers no
  initval plumbing, so it hits the same bad start.
- `model.map`'s guard moves from a falsy check to `is None`, so a
  computed-but-empty estimate no longer reads as "not computed".

Refs #1102
Maximizes the *observed* log-likelihood -- the priors are dropped -- so
the result is a frequentist point estimate rather than a posterior mode.

- Raises on hierarchical models: dropping the priors leaves the
  group-level scale unidentified (under HSSM's default non-centered
  parameterization the likelihood is invariant under rescaling the
  offsets against sigma; under the centered one sigma does not enter the
  likelihood at all), so the optimum is a flat ridge. Use `find_MAP`, or
  pass `allow_unidentified=True`.
- Raises on models with `pm.Potential` terms, which `observedlogp`
  would silently drop.
- Optimizes in transformed space; the transforms are bijective, so no
  Jacobian correction is needed and the parameters stay inside the range
  the likelihood network was trained on.
- The objective, its gradient and the point expander are compiled once
  and reused across starts; the scorer reuses the compiled objective and
  the method is resolved from the compile rather than a second gradient
  probe.
- New `model.mle` property.

Refs #1102
- New `tests/test_optimize.py`: recovery, the non-finite-gradient
  regression that motivated the work, failure reporting and caching,
  multi-start, `float32` fallback, standard errors, `PointEstimate`
  (pickle/copy/ArviZ round trips), `sample()` integration and helper
  units. Slow markers cover the full hierarchical fit, cloudpickle,
  save/load and the `approx_differentiable` backends.
- Regression tests for the defects found in review: a bad `method=`
  raises instead of warning, jitter near an upper bound no longer burns
  starts, integer-valued starts are still jittered, an untouched zero
  reads as "did not move", the failure message does not advertise
  `return_raw=True`, and `find_MLE` neither probes the gradient twice
  nor compiles the objective or the point expander per start.
- `tests/test_initvals.py` and the RL suite assert the new `model.map`
  contract and the extra-field refresh.

Refs #1102
- New "Find MAP and MLE point estimates" tutorial under How-to guides >
  Sampling and diagnostics, alongside variational inference as the other
  non-MCMC route. It ships with stored outputs and is listed in
  mkdocs' `execute_ignore`, so docs builds do not re-run its
  hierarchical fit and MCMC draw; notebook CI still executes it.
- New `hssm.PointEstimate` reference page, with attribute docs enabled
  because for this class the attributes are the API.
- `find_MAP`/`find_MLE` added to the HSSM and rl API pages.
- Changelog entry.

Refs #1102
- `standard_errors` differentiated outside the model's support. A bound
  enters the graph through `pt.switch`, so past it the log-density is
  `-inf` while the gradient stays finite: the Hessian came back well
  conditioned, every guard passed, and an estimate pinned to a bound got
  a confident standard error where the docstring and tutorial promise
  `NaN` (observed `se[p_outlier] = 0.0061` at `p_outlier = 0`, implying a
  95% interval straddling negative probability). Each stencil point is
  now tested against the density. The oracle is always the *joint* logp,
  never the objective being curved: whether a point lies in the model's
  support is a property of the model, and the observed log-likelihood
  carries none of the prior-derived bounds, so under `observed_only` it
  stayed finite outside the support and waved every boundary estimate
  through. All entries go `NaN`, not just the offending one, since the
  errors invert the joint Hessian. The warning names which of the three
  failures occurred --- an out-of-support stencil, a Hessian with
  non-finite entries, or one that is singular or not negative definite
  --- since calling the first two "singular" would describe a matrix
  that was never built or never inverted.
- A failed `find_MAP`/`find_MLE` left an earlier run's estimate cached,
  so `model.map` returned a stale point instead of raising and
  `sample(initvals="map")` slipped past its `_map_dict is None` guard.
  Cleared before reporting, which also covers the `strict=True` raise.
- Scoring a point missing its transformed entries raised a bare
  `KeyError` past the `-inf` fallback; it now names
  `include_transformed=False` as the cause. `-inf` is deliberately not
  reused: that is the answer for a point of zero density, not an
  unscoreable one.
- `report_failure` shared one message between both paths, so the
  `strict=True` error claimed the call "returned None" and recommended
  the mode already in force.
- `resolve_method` returned `str | None` from a `-> str` signature; mypy
  does not carry the narrowing through the intermediate boolean.
- `find_MAP` compiled a second logp evaluator for a number `pm.find_MAP`
  already returns as `opt_result.fun` (equal bit-for-bit under L-BFGS-B,
  Powell, Nelder-Mead and BFGS), and expanded each jittered candidate to
  constrained space for a `start=` that accepts transformed names
  directly.
- `find_MLE` did not consume `include_transformed`, so unlike
  `find_MAP` it reached `scipy.optimize.minimize` as an unexpected
  keyword. Consumed and documented symmetrically.
- `dims_and_coords` copied the model's coords wholesale, hanging the
  per-trial `__obs__` index off every estimate for nothing to read.
- `to_dataframe` dropped the `se` column when every entry was `NaN`,
  which the support check above makes the normal boundary outcome --- so
  `se=True` rendered identically to `se=False` for exactly the case worth
  noticing. It is now dropped only when no errors were computed.
- Docstrings corrected to match the code: `PointEstimate.success` is
  always `True`, `opt_result` is never `None` on a returned estimate, the
  raw mapping loses its transformed entries under
  `include_transformed=False`, that kwarg is consumed by HSSM rather than
  forwarded to PyMC, and every statement of the standard-error cost now
  counts the support check's log-density evaluations. `find_MAP`'s
  `start` records that HSSM's default initial values are not reconciled
  against a user-supplied prior's support, and how to work around it.
- Docs: dropped an author-local absolute path from the tutorial's stored
  output, which the published docs render verbatim, and aligned the
  tutorial's heading with the nav entry and the changelog.
- Tests: regression coverage for the boundary and interior standard-error
  paths, the cleared caches, the unscoreable point, the `strict` message,
  the trimmed coords, and the retained all-`NaN` `se` column.
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📝 Walkthrough

Walkthrough

HSSM adds MAP and MLE point-estimation workflows, optimizer infrastructure, PointEstimate results, sampling integration, comprehensive tests, and API documentation with a dedicated tutorial.

Changes

MAP/MLE estimation

Layer / File(s) Summary
Point-estimate optimization engine
src/hssm/optimize.py
Adds PointEstimate, optimizer selection, multi-start initialization, scoring, failure handling, objective compilation, and standard-error calculation.
HSSM MAP/MLE workflows and sampling
src/hssm/base.py, src/hssm/__init__.py
Adds find_MAP, find_MLE, cached map and mle properties, constrained MAP sampler initialization, and top-level PointEstimate export.
Optimization and integration validation
tests/test_optimize.py, tests/test_initvals.py, tests/rl/test_rlssm.py
Adds coverage for MAP/MLE estimation, optimizer behavior, result conversion, sampling integration, serialization, regression cases, and RLSSM support.
API and tutorial documentation
docs/api/*.md, docs/tutorials/map_mle.ipynb, docs/changelog.md, mkdocs.yml
Documents the new APIs and workflows, adds the MAP/MLE tutorial, updates navigation, excludes the notebook from execution, and records changelog entries.

Estimated code review effort: 5 (Critical) | ~120 minutes

Merge Risk: ⚪ Minimal · up to 78ba8

The point-estimation changes are merge-ready after normal checks; no actionable merge-blocking risk remains.

Sequence Diagram(s)

sequenceDiagram
  participant HSSMBase
  participant optimize
  participant SciPy
  participant PointEstimate
  participant Sampler
  HSSMBase->>optimize: run find_MAP or find_MLE
  optimize->>SciPy: optimize compiled objective
  SciPy-->>optimize: return optimizer result
  optimize->>PointEstimate: build parameters and metadata
  PointEstimate-->>HSSMBase: cache estimate
  HSSMBase->>Sampler: pass constrained MAP parameters
  Sampler-->>HSSMBase: initialize sampling
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✅ Passed checks (5 passed)
Check name Status Explanation
Description Check ✅ Passed Check skipped - CodeRabbit’s high-level summary is enabled.
Title check ✅ Passed The title clearly summarizes the primary changes: trustworthy find_MAP and new find_MLE point-estimation workflows.
Linked Issues check ✅ Passed The implementation fulfills issue #1102 by adding MAP and MLE fitting functions, point-estimate results, safeguards, and supporting tests and documentation.
Out of Scope Changes check ✅ Passed The code, tests, documentation, tutorial, exports, and navigation changes directly support the MAP and MLE objectives.
Docstring Coverage ✅ Passed Docstring coverage is 88.46% which is sufficient. The required threshold is 80.00%.
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@fmuia
fmuia marked this pull request as ready for review August 17, 2026 12:40
@fmuia
fmuia requested a review from AlexanderFengler August 17, 2026 12:40
@fmuia fmuia self-assigned this Aug 17, 2026
@fmuia fmuia added the bug Something isn't working label Aug 17, 2026

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Actionable comments posted: 1

🧹 Nitpick comments (1)
src/hssm/base.py (1)

763-793: 🩺 Stability & Availability | 🔵 Trivial | ⚡ Quick win

Pass include_transformed=True explicitly to pm.find_MAP. The fallback scorer requires transformed value-variable names and raises KeyError when they are missing. seed is supported.

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In `@src/hssm/base.py` around lines 763 - 793, Update the pm.find_MAP call in the
optimization loop to pass include_transformed=True explicitly, preserving the
existing seed argument and all other options so candidate scoring receives
transformed value-variable names.
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only still-valid issues, skip the rest with a brief reason, keep changes
minimal, and validate.

Inline comments:
In `@tests/test_initvals.py`:
- Around line 96-100: Update the MAP estimate test around the existing any(...)
assertion to first compute the shared parameter names between estimate.params
and model_on.initvals, then assert that shared is non-empty with a clear
shared-parameter failure message. Use shared for the subsequent np.allclose
comparison so the movement check only runs over explicitly shared parameters.

---

Nitpick comments:
In `@src/hssm/base.py`:
- Around line 763-793: Update the pm.find_MAP call in the optimization loop to
pass include_transformed=True explicitly, preserving the existing seed argument
and all other options so candidate scoring receives transformed value-variable
names.
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Comment thread tests/test_initvals.py
…#1102)

Both from automated review on #1218.

- `find_MAP` relied on `pm.find_MAP` defaulting `include_transformed` to
  True. It does today, but the convergence audit and the fallback scorer
  require the transformed names --- the scorer raises `KeyError` without
  them --- so the dependency is stated at the call site rather than
  inherited. No behaviour change against current PyMC.
- `test_sample_map`'s movement check ran `any()` over the names shared
  between the estimate and the initial values. An empty intersection made
  that `False`, so a key mismatch would have been reported as "MAP
  estimate never moved off the initial point". The overlap is now
  asserted first, and names both sides.

fmuia commented Aug 17, 2026

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Both review points addressed in 78ba855.

src/hssm/base.py — pass include_transformed=True explicitly. Done, though the reasoning needed a correction: pm.find_MAP already defaults it to True (pymc/tuning/starting.py), so there was no live KeyError — the fallback scorer was always receiving the transformed names. The change is still worth making, because the convergence audit and that scorer require those names and the code was inheriting the guarantee rather than stating it. Pinned at the call site; no behaviour change against current PyMC.

tests/test_initvals.py — assert the shared parameter names. Done; see the thread reply for detail.

Verified: ruff check src/hssm clean, mypy clean, four analytical test_sample_map parameterizations pass.

Not changed: ruff check also reports unsorted imports and a missing module docstring at tests/test_initvals.py:1. Both pre-date this PR on main, are untouched by this diff, and sit outside what the lint workflow checks (ruff check src/hssm).


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add MAP /MLE functions

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