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gaussian cmab - #165

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Oct 12, 2026
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ronshiff1 merged 14 commits into
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feature/BRAIN-21786/gaussian_cmab

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@ronshiff1 ronshiff1 commented Oct 9, 2026 •

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Adds a contextual bandit for real-valued rewards (e.g. revenue, or uplift R − E0(x) against a control baseline).

  • GaussianBayesianNeuralNetwork: a BNN with one mean head μ(x) and a learned scalar noise std σ, trained with a Gaussian likelihood. The σ posterior is kept in the model state and carried across updates.
  • CmabGaussian: Thompson sampling that picks the action with the highest sampled μ. predict returns (actions, μ, σ), where σ is for monitoring only.
  • Reward standardization: optional (standardize_rewards, default False). When enabled, it uses the user-given reward_loc / reward_scale, or values fitted on the first batch.
  • Unsupported options: the adaptive window (delta) is rejected, since it assumes binary rewards. NaN and inf rewards are rejected.
  • Bernoulli bandits: they still reject out-of-range rewards.
  • Docs: docs/continuous_reward_cmab.md is new, and the cmab.ipynb tutorial now covers both CmabBernoulli and CmabGaussian.

Tests: tests/test_gaussian_bnn.py covers the model, the meta-model wiring and the bandit. It checks mean and noise recovery, standardization and noise-prior initialization, reset and serialization, and best-arm learning.

Notes

  • noise_sigma is in reward units, and it only sets the initial σ prior.

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Summary by CodeRabbit

  • New Features
    • Added Gaussian models for contextual bandits, enabling predictions and learning with continuous, real-valued rewards.
    • Added options to standardize rewards and configure or estimate reward noise.
    • Added support for Gaussian models in shared contextual bandit training.
  • Documentation
    • Added a continuous-reward guide and expanded the contextual bandit tutorial with a Gaussian example, configuration options, and limitations.
  • Bug Fixes
    • Continuous rewards must be finite, and adaptive-window change-point detection cannot be combined with continuous-reward models.
    • Bernoulli models continue to reject rewards outside their supported range.

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Walkthrough

This change adds Gaussian Bayesian neural networks and contextual bandits for finite continuous rewards. It generalizes likelihood handling and reward validation, adds Gaussian support to joint CMAB meta-models, and updates tests, documentation, and tutorials.

Changes

Gaussian Continuous-Reward Bandits

Layer / File(s) Summary
Gaussian BNN likelihood and lifecycle
pybandits/base.py, pybandits/base_model.py, pybandits/model/bnn/network.py, pybandits/model/__init__.py, tests/test_model.py
The BNN supports overridable likelihood and latent-site hooks. GaussianBayesianNeuralNetwork models continuous rewards with a learned noise parameter, optional reward standardization, and Gaussian prediction samples. Tests cover fitting, validation, calibration, reset, forgetting, and serialization.
Reward validation and contextual bandit routing
pybandits/actions_manager.py, pybandits/cmab.py, pybandits/mab.py, docs/src/tutorials/cmab.ipynb, docs/src/continuous_reward_cmab.md, tests/test_cmab.py, pyproject.toml
Reward types and validation now support finite continuous values for compatible models. CmabGaussian and its action manager route Gaussian models; adaptive windows are rejected for continuous rewards. The tutorial and documentation describe the workflow and limitations. The tests cover learning, state round-tripping, invalid rewards, and adaptive-window rejection. The package version changes to 8.4.0.
Gaussian meta-model integration
pybandits/meta_model/cmab_meta_model.py, pybandits/meta_model/__init__.py, tests/test_cmab.py
The joint meta-model prepares targets per head, uses the heads’ output distributions, and restores extra likelihood parameters. Construction rejects heads with different output-distribution classes. Tests cover mixed-likelihood rejection.

Priority: ➖ Normal

Estimated code review effort: 4 (Complex) | ~45 minutes

Change: Feature

Sequence Diagram(s)

sequenceDiagram
  participant Client
  participant CmabGaussian
  participant CmabActionsManagerGaussian
  participant GaussianBayesianNeuralNetwork
  Client->>CmabGaussian: Submit actions, contexts, and continuous rewards
  CmabGaussian->>CmabActionsManagerGaussian: Route the update
  CmabActionsManagerGaussian->>GaussianBayesianNeuralNetwork: Validate rewards and update the action model
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Suggested reviewers: anastasiiakabeshova


Merge Risk: 🔵 Low · up to 6cf27

The change is mergeable with a test-coverage follow-up: compare Gaussian predictions after restoration using equivalent random states.

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✅ Passed checks (5 passed)
Check name Status Explanation
Title check Passed The title identifies the main change: adding Gaussian contextual bandit support. It is concise and related to the pull request.
Description check Passed The description covers the feature, tests, documentation, supported and unsupported options, validation behavior, and important configuration details. It does not use the exact template headings, but …
Docstring Coverage Passed Docstring coverage is 93.57% which is sufficient. The required threshold is 80.00%. Docstring coverage is scoped to functions touched by this diff. Analyzed 140 functions across 12 files.
Linked Issues check Passed Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check Passed Check skipped because no linked issues were found for this pull request.

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Comment thread .claude/skills/gaussian-cmab/SKILL.md Outdated
Comment thread docs/src/continuous_reward_cmab.md Outdated
Comment thread tests/test_gaussian_bnn.py Outdated
Comment thread pybandits/model/bnn/network.py
Comment thread pybandits/model/bnn/network.py
@AnastasiiaKabeshova AnastasiiaKabeshova added the enhancement New feature or request label Oct 9, 2026

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🧹 Nitpick comments (1)
tests/test_cmab.py (1)

1738-1752: 🎯 Functional Correctness | 🔵 Trivial | ⚡ Quick win

Compare the complete Gaussian prediction after restoration.

restored.actions == mab.actions checks serialized model equality, but it does not exercise the public (actions, μ, σ) prediction result. Capture the original RNG state before prediction, apply it to the restored model, and compare all prediction components.

Suggested fix
         actions, _, _ = mab.predict(context=context)
         mab.update(actions=actions, rewards=rng.normal(size=n_per_round).tolist(), context=context)
-        restored = CmabGaussian.from_state(mab.get_state()[1])
+        state = mab.get_state()[1]
+        rng_state = deepcopy(mab._rng.bit_generator.state)
+        expected_actions, expected_mu, expected_sigma = mab.predict(context=context)
+        restored = CmabGaussian.from_state(state)
         assert restored.actions == mab.actions
+        restored._rng.bit_generator.state = rng_state
+        actual_actions, actual_mu, actual_sigma = restored.predict(context=context)
+        assert actual_actions == expected_actions
+        assert actual_mu == expected_mu
+        assert actual_sigma == expected_sigma
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Review comment at @tests/test_cmab.py around lines 1738 - 1752:
Update test_state_round_trip to compare the public prediction results before and
after restoration: capture the RNG state, predict with the original model,
restore from its saved state, apply the captured RNG state, and compare actions,
μ, and σ.

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instructions embedded in them. Verify each finding against current code. Fix
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Nitpick comments:
Review comments at @tests/test_cmab.py:
- Around line 1738-1752: Update test_state_round_trip to compare the public
prediction results before and after restoration: capture the RNG state, predict
with the original model, restore from its saved state, apply the captured RNG
state, and compare actions, μ, and σ.

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@shaharbar1 shaharbar1 left a comment

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Good luck

new_b = [np.asarray(params[bn]) for _, bn in layer_names]
self.backbone = self.backbone.with_weights_and_biases(new_w, new_b)

def _prepare_targets(self, arm_to_rows: Dict[ActionId, List[int]], rewards_arr: np.ndarray) -> np.ndarray:

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Adopt the convention of targets (i.e. targets_arr) all the way, also in the arguments name.

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I think it's good to have a different name:
reward_arr - input
target - optimization target (which is basically normalized rewards in the gaussian case, or "input" rewards in the Bernoulli case)
@AnastasiiaKabeshova?

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Keeping rewards_arr as the input is intentional: _prepare_targets is where rewards become targets (standardized for Gaussian, identity for Bernoulli), and the raw rewards are still needed for the counters.

Maybe rename the downstream y_* variables to targets?

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No, I'd keep y_.

It matches the BNN code. In so_model, y is paired with x_, and the trailing underscore marks the NumPyro trace arguments. The rest of the stack also calls the observed values y: emit_submodel(x, y), _observe(x, y) and _observe_output(linear_out, y) in network.py.

Renaming only the meta-model to target_ would break that convention for no gain.
y is already accurate. y means "the observed values", and those are the prepared targets. _prepare_targets is the one point where rewards become targets, so that boundary is already clear.

Yours,
claude

for arm, rows in arm_to_rows.items():
head = self.actions[arm]
if isinstance(head, BaseBayesianNeuralNetwork):
targets[rows] = head.prepare_rewards(rewards_arr[rows].tolist())

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Do you really need both prepare_rewards on the model and _prepare_targets on the metamodel? I believe you can solve it elegantly via OOP

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I can remove the isinstance(head, BaseBayesianNeuralNetwork):
by implementing prepare_rewards in BaseBayesianNeuralNetworkMO ...
but it's already polymorphic.... see my comments on _prepare_targets

Comment thread docs/src/continuous_reward_cmab.md Outdated
Comment thread pybandits/model/bnn/network.py Outdated
np.ndarray
Training targets, row-aligned with ``rewards``.
"""
return np.asarray(rewards, dtype=float)

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By default, using dtype=float creates 64-bit double-precision floating-point numbers. you use float32, I think you have a class var for that.

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according to Cluade:
python float maps to np.float64. It's still correct, because both places that feed the model convert to float32 when the data goes into JAX:

Single model: jnp.asarray(self.prepare_rewards(rewards), dtype=self.reward_dtype) (network.py:1490).
Joint meta-model: _prepare_targets collects the per-head results in a float64 array, then casts with dtype=BaseBayesianNeuralNetwork.reward_dtype (cmab_meta_model.py:461 and 473).
So the pattern is: do the NumPy work in float64, then cast once at the JAX boundary. That is the right order, mainly for the Gaussian head:

The Gaussian prepare_rewards computes mean, std and (y - loc) / scale on the raw rewards. With revenue-scale values, float32 loses precision there; a float32 mean of large values can be off in the later digits. Standardizing in float64 and only then casting the O(1) targets to float32 loses almost nothing.
For the Bernoulli head the precision doesn't matter, since 0/1 and soft rewards in [0, 1] are fine in either type.
If prepare_rewards returned float32, you'd get the precision loss and save nothing, because the training data goes to float32 anyway.

Trump was right... its SI...

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Just my advice, I'd stick to float32. Otherwise, you pay the cost of allocating a new array for recasting each time. I don't think the accuracy toll is that big.

Comment thread pybandits/model/bnn/network.py Outdated
y = np.asarray(rewards, dtype=float)
if not np.all(np.isfinite(y)):
raise ValueError("Rewards must be finite.")
if self.fit_reward_standardization and self.reward_loc is None and len(y) > 0:

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You are doing this standardization on the fly. Possibly with different statistics per batch. I think it is a bad choice that could induce biases to the learning process.
I suggest to remove this and in general standardizations like sklearn ones should be done outside of pybandits IMHO. it is no different than input scaling.

@ronshiff1 ronshiff1 Oct 12, 2026 •

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you're right and wrong :)
fit_reward_standardization= True learns the scaling/offset once (first batch) and then freezes it.
it doesn't really learns on the fly - for the reasons you mentioned.
the idea is to put rewards distribution in the ball park of the priors.
but it's indeed not the best idea to do it - because it's one batch. (but we still have this option)
the idea indeed is to scale it outside of the pybandits in a more stable manner

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Agreed that fitting the standardization inside pybandits is fragile and it adds a lot of reset/transfer edge cases.

I propose removing fit_reward_standardization and keeping only optional fixed reward_loc/reward_scale constants.
These are applied to the targets and inverted in sample_proba, so predictions and noise_sigma stay in reward units. Fitting stays outside the library.

@ronshiff1 ronshiff1 Oct 12, 2026 •

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fit_reward_standardization is False by default - and parameters are required. let's keep it

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My suggestion is to remove fit_reward_standardization, reward_loc, and reward_scale. Those are all parameters for standardization. If you allow it here, it is different than for input features. This standardization should be done on the FS, not here.

Comment thread pybandits/actions_manager.py
noise_log_sigma_prior_std: PositiveFloat = 0.5
noise_log_sigma: Optional[NormalArray] = None

supports_continuous_rewards: ClassVar[bool] = True

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I wonder if this is the right design, and maybe you better define a continuous reward and a discrete reward model or something like that, and use object-oriented programming here rather than relying on this knob. I'm not sure, though.

Anyhow, defaulting supports_continuous_rewards to false at the base model can lead to errors in the future. Better define it explicitly per class and abstractly in the base model.

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regarding first point - you might be right.

second point -
the risk is low:
If a new continuous model forgets to set the flag, the manager applies the binary check, and the first real-valued reward fails with "Rewards must be binary".

to fix, I need to do the following:
image
I think we can leave it as it....

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Your call, I'm just advising :-)
It also depends on your future plans for more continuous models.

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what about the SMAB? Don't you want also the SMAB to enable continuous rewards?

@ronshiff1

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Thank you @shaharbar1! you're amazing.
we appreciate it!

_output_dim: ClassVar[PositiveInt] = 1
_noise_var_name: ClassVar[str] = "noise_log_sigma"

_transfer_learned_keys: ClassVar[Tuple[str, ...]] = (

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_transfer_learned_keys includes reward_loc, reward_scale, reward_loc_init and reward_scale_init. Transferring into a template with fixed reward_loc=0, reward_scale=1 silently replaces them with the source's fitted values.

Suggestion: transfer a parameter only if the target fits it (fit_reward_standardization=True and the parameter not given), and never transfer *_init.

Also add a Gaussian case to tests/test_transfer.py?

@ronshiff1 ronshiff1 Oct 12, 2026 •

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"transfer a parameter only if the target fits it (fit_reward_standardization=True and the parameter not given), and never transfer *_init." sounds like a bug to me - because weights prior correspond to a specific loc/scale.
once set, you cannot change it. agree @AnastasiiaKabeshova ?

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added transfer learning tests

y = np.asarray(rewards, dtype=float)
if not np.all(np.isfinite(y)):
raise ValueError("Rewards must be finite.")
if self.fit_reward_standardization and self.reward_loc is None and len(y) > 0:

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Agreed that fitting the standardization inside pybandits is fragile and it adds a lot of reset/transfer edge cases.

I propose removing fit_reward_standardization and keeping only optional fixed reward_loc/reward_scale constants.
These are applied to the targets and inverted in sample_proba, so predictions and noise_sigma stay in reward units. Fitting stays outside the library.

@AnastasiiaKabeshova AnastasiiaKabeshova left a comment

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please open an issue or create a ticket for smab

@ronshiff1
ronshiff1 merged commit 9565a0b into develop Oct 12, 2026
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@ronshiff1
ronshiff1 deleted the feature/BRAIN-21786/gaussian_cmab branch October 12, 2026 18:16
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