Causal reinforcement learning: the 9-task causal RL taxonomy, made runnable.
causalrl supplies the causal layer for sequential decisions, not a new trainer: agents that
plan inside a given or learned structural causal model, graph algorithms for causal bandits,
demonstration environments, and explicit-latent SCMs with see (L1), do (L2), and
counterfactual (L3) queries, organised around the
9-task taxonomy of causal RL. Train a policy however you like, then
hand its actions to certify_policy: it bounds whether the value improvement over the logging
policy survives hidden confounding, and abstains when it cannot.
Scope is explicit and enforced in code. Out-of-class identification queries raise
NotIdentifiableError with the witnessing hedge (or return None for the conservative helpers)
rather than guessing a formula. The two halves also sit at deliberately different maturities: the
planners and environments are demo-scale — tabular to modest function approximation, on
synthetic worlds built to isolate one failure mode each — while the decision, certificate and
off-policy-evaluation layers run on real data. The examples/causal_mbrl_*.py scripts are the
evidence: on NHEFS, LaLonde and Twins they fit an agent, call .act() per unit and certify the
resulting policy; on the Open Bandit Dataset and Coat they run the off-policy-evaluation and
sensitivity kernels (certify_policy, msm_policy_value_bounds) against measured ground truth. See
Guarantees & Scope.
pip install causalrl # core: graph, POMIS, tabular agents/environments
pip install "causalrl[torch]" # + SCM sampling, neural mechanisms, Torch-backed demosFrom a clone, for development:
uv sync --extra dev # tests, lint, typing, notebooks
uv sync --extra docs # local documentation site and API referenceThe core graph, POMIS, tabular-agent, and tabular-environment surfaces do not require PyTorch; SCM sampling, neural mechanisms, and structural-bandit environments do. Full documentation: https://raphaelrrcoelho.github.io/causalrl/.
A causal agent that conditions on its "intuition" beats a confounding-naive agent on the Multi-Armed Bandit with Unobserved Confounders — even though both arms have identical interventional means.
from causalrl.agents.bandits import CausalThompsonSampling
from causalrl.envs.suite.mabuc import MABUCEnv
env = MABUCEnv(seed=1)
agent = CausalThompsonSampling(n_arms=2, n_contexts=2, seed=0)
obs, _ = env.reset(seed=1)
for _ in range(8000):
action = agent.act(obs)
_, reward, _, _, _ = env.step(action)
agent.update(obs, action, reward)
obs, _ = env.reset()
# CausalThompsonSampling -> ~0.75 reward/step; any confounding-naive policy is capped near 0.50,
# since both arms share an interventional mean.Offline, confounded — one agent routes it. Given confounded logs, CausalMBRLAgent picks the
right causal planner (back-door-adjust an observed confounder, discover the structure first,
transport across a covariate shift, handle a continuous confounder, or plan a sequential regime)
behind one fit → act surface, and tells you the identification it relied on.
from causalrl import CausalMBRLAgent
from causalrl.envs.suite.simpson_bandit import SimpsonBandit
env = SimpsonBandit(seed=3) # observed confounder Z on a back-door A <- Z -> Y
agent = CausalMBRLAgent(env.n_actions, graph=env.graph)
agent.fit(env.sample(50_000, seed=3)) # columnar {Z, A, Y} logs
agent.act({"state": 0}) # -> 1, the interventional optimum
agent.explain() # "CausalMBRLAgent(strategy=backdoor, adjustment_set={Z})"
# A confounding-naive marginal is fooled by Simpson's paradox and ships the worse arm.Same class, other regimes: graph=None with variables/tiers discovers the structure first;
transport=("W",) carries the policy across a covariate shift; continuous_confounder=True fits a
function approximator over a continuous confounder; horizon=… plans a confounded sequential regime
(the medicine DTR). The wins are confined to the confounded / offline / transfer regime by design —
see the causal-MBRL results note.
| Task (taxonomy) | Capability | Key entry points |
|---|---|---|
| Decision under confounding | Counterfactual Thompson sampling on the MABUC | CausalThompsonSampling |
| Confounded offline agent | One front-door → back-door / discovery / transport / function-approx / sequential | CausalMBRLAgent |
| Learned world model | Fit an SCM from logs, then act in it as a Gymnasium env | fit_scm, orient, counterfactual_interval |
| Learn the model while acting | Refit the I-MEC from the agent's own experiments; Thompson-sample over structure | OnlineCausalMBRL |
| 1 — Offline→online | Learn from confounded logs via causal bounds | UCDTR, DOVI, DeepDeconfoundedQ |
| 2 — Where to intervene | POMIS / MIS, incl. non-manipulable variables | pomis, minimal_intervention_sets |
| 3 — Counterfactual policy | Act on E[Y_do(a) | intent] |
CounterfactualOptimalPolicy |
| 4 — Transportability | Recover effects across domains | transport_formula, transported_effect |
| 5 — Causal discovery | PC / FCI structure learning | discover, CPDAG |
| 6 — Causal imitation | Imitability + confounded cloning | is_imitable, CausalImitator |
| 7 — Causal curriculum | Prerequisite-ordered skill learning | causal_curriculum |
| 8 — Reward shaping | Policy-invariant causal potentials | causal_potential, q_learning |
| 9 — Causal games | Influence diagrams + equilibria | pure_nash_equilibria, CausalGame |
| Identification | Complete ID / gID / sID / mz; partial-ID, sensitivity & decision certificates | identify_effect, manski_bounds, certify_decision |
A runnable example for every row is in the
Tour by Task; end-to-end notebooks are in
examples/ and the Tutorials.
Six task guides — five that certify a policy
and one that trains an agent online — are scripts in examples/guides/ executed
end to end in CI.
Scored the way an RL practitioner scores things — .act() per unit, then regret against ground
truth — the causal point estimates do not win on real data, and the shipped examples print that
themselves rather than hiding it:
- Twins (
examples/causal_mbrl_twins.py, 11,984 pairs with both potential outcomes): our policy reaches 0.8316 survival against the per-pair oracle's 0.8747 — regret 0.0431, the worst of the learned policies, and behind the trivial constant "always the heavier twin" (0.8358). - LaLonde (
examples/causal_mbrl_lalonde.py, priced by the NSW randomized experiment): the contextual policy enrols 73.5% of the population for $476/person of regret, where the marginal rule it is built from ("enrol everyone") leaves $0 — and its off-policy value from the observational logs, −$453/person, has the wrong sign outright.
Both examples then abstain: certify_policy refuses Twins at Γ≈1.07 and LaLonde at Γ≈1.10, and
on LaLonde the randomized experiment vindicates the refusal. That is the recorded finding, and it
is the positioning — the defensible edge is the decision and certificate layer, not the number.
Full write-up: real-data results.
causalrl is causal-RL-first, where the established causal libraries are estimation-first:
- DoWhy / EconML / CausalML target treatment-effect estimation and the
identify→estimate→refute workflow on i.i.d. data. They are mature, production-grade tools.
causalrlinstead targets sequential decision-making: intervention-set selection (POMIS), confounded offline-to-online RL, counterfactual policies, and causal curricula / shaping / games. Those are the parts of the Bareinboim taxonomy these libraries do not cover. - For pure graph identification it overlaps with Ananke / pgmpy / Y0.
On the RL side it is a layer, not a competitor:
d3rlpy(and offline-RL libraries generally) train the policy;causalrldoes not reimplement any of that, and pairs with them instead.src/causalrl/scale/d3rlpy.pyis the bridge in both directions —to_mdp_datasethands aConfoundedTrajectoryDatasetto a d3rlpy algorithm,policy_actionsreads the trained policy's greedy actions back, andcertify_fqewraps a fitted-Q evaluation as a certificate.pip install causalrl[scale]; see the Scale guide.- What it adds on top of a trained policy is the assumption those libraries' evaluators take
for granted. Off-policy evaluation — importance sampling, doubly-robust, FQE — is valid only when
the logged actions are unconfounded given the recorded state, and logs written by a human, a
clinician or a legacy heuristic often are not.
certify_policybounds the value improvement over the logging policy under Tan's marginal sensitivity model, reports the tipping Γ at which the ship/keep decision flips, and withalpha=…gates it on a finite-sample conformal lower bound (conformal_action_value). When the bound will not carry the decision, itsrecommendationisabstainrather than a green light.
Use causalrl when your problem is a causal decision over time; use DoWhy/EconML when it is a
treatment-effect estimate; use d3rlpy when you need the policy trained, and causalrl to
decide whether to ship it.
The public API — the names exported from the top-level causalrl package — is stable and follows
semantic versioning: from v1.0.0 on, breaking changes to exported names
move the major version. The 0.99.x line deliberately let the surface settle in real use first; 1.0
commits to it. See Guarantees & Scope for
what each method does and does not promise.
uv run --extra dev python benchmarks/scbandit_report.py confounded-chain \
--seeds 0,1,2,3,4 --steps 8000 --tail-window 2000 --n-mc 2000The JSON report includes each seed's result plus summary uncertainty. These maintained demonstrations validate package behaviour on the stated environments; they are not general performance guarantees.
uv run pytest # tests
uv run ruff check . # lint
uv run pyright src # types
uv run --extra docs mkdocs build --strict # documentationContributions are welcome — see CONTRIBUTING.md.
If you use causalrl in research, cite the metadata in CITATION.cff and the
primary source for the method you used (each is attributed inline in the
Tour by Task and its source module). See
Citing causalrl.
This library would not exist without the body of work it stands on. Particular thanks to:
- Elias Bareinboim, whose 9-task taxonomy of causal reinforcement learning
is the organising spine of
causalrl, and whose results with collaborators are the core of nearly every slice —do-calculus completeness (with Shpitser & Pearl), transportability and selection diagrams (with Pearl), counterfactual data fusion (with Forney & Pearl), POMIS / structural causal bandits (with Lee), and causal imitation learning (with Zhang & Kumor). - Judea Pearl, for the do-calculus and Pearl Causal Hierarchy that make every L1 / L2 / L3 query in this library well-defined.
- Sanghack Lee, for the reference POMIS implementation
the intervention-set engine is adapted from (MIT-licensed; attribution in
src/causalrl/identification/intervention_sets.py).
Other foundational references — Spirtes, Glymour & Scheines; Zhang; Manski; Tan; Koller & Milch; Ng, Harada & Russell; Bengio et al. — are cited inline at the slice that uses each.