From 2b441c894181251c8e5cda57e6bf84afe2b7a3dd Mon Sep 17 00:00:00 2001 From: Sam Duffield Date: Wed, 1 Jul 2026 14:44:20 +0100 Subject: [PATCH 1/6] Draft remove init_prepare from cuthbert.filter --- cuthbert/README.md | 12 +++++--- cuthbert/factorial/filtering.py | 54 ++++++++++++++++----------------- cuthbert/filtering.py | 27 +++++++++-------- 3 files changed, 48 insertions(+), 45 deletions(-) diff --git a/cuthbert/README.md b/cuthbert/README.md index 8602bf80..11145226 100644 --- a/cuthbert/README.md +++ b/cuthbert/README.md @@ -10,7 +10,8 @@ from jax import tree import cuthbert # Define model_inputs -model_inputs = ... +init_model_inputs = ... +filtering_model_inputs = ... # Load inference method kalman_filter = cuthbert.gaussian.kalman.build_filter( @@ -20,10 +21,10 @@ kalman_filter = cuthbert.gaussian.kalman.build_filter( ) # build_filter function takes all inference-specific arguments, swap this out for different inference methods. # Online inference -state = kalman_filter.init_prepare(tree.map(lambda x: x[0], model_inputs)) +state = kalman_filter.init_prepare(init_model_inputs) -for t in range(1, T): - model_inputs_t = tree.map(lambda x: x[t], model_inputs) +for t in range(T): + model_inputs_t = tree.map(lambda x: x[t], filtering_model_inputs) prepare_state = kalman_filter.filter_prepare(model_inputs_t) state = kalman_filter.filter_combine(state, prepare_state) ``` @@ -33,7 +34,8 @@ Or for offline inference: ```python kalman_smoother = cuthbert.gaussian.kalman.build_smoother(get_dynamics_params) -filter_states = cuthbert.filter(kalman_filter, model_inputs) +init_state = kalman_filter.init_prepare(init_model_inputs) +filter_states = cuthbert.filter(kalman_filter, filtering_model_inputs, init_state) smoother_states = cuthbert.smoother(kalman_smoother, filter_states, model_inputs) ``` diff --git a/cuthbert/factorial/filtering.py b/cuthbert/factorial/filtering.py index cc02ae38..2ff4c624 100644 --- a/cuthbert/factorial/filtering.py +++ b/cuthbert/factorial/filtering.py @@ -13,16 +13,21 @@ def filter( filter_obj: Filter, factorializer: Factorializer, model_inputs: ArrayTreeLike, + init_state: ArrayTree, + *, output_factorial: bool = False, key: KeyArray | None = None, ) -> ( - ArrayTree | tuple[ArrayTree, ArrayTree, ArrayTree] + ArrayTree | tuple[ArrayTree, ArrayTree] ): # TODO: Can overload this function so the type checker knows that the output is an ArrayTree if output_factorial is True and a tuple[ArrayTree, ArrayTree, ArrayTree] if output_factorial is False """Applies offline factorial filtering for given model inputs. - `model_inputs` should have leading temporal dimension of length T + 1, + `model_inputs` should have leading temporal dimension of length T, where T is the number of time steps excluding the initial state. + The output will have leading temporal dimension of length T + 1, and + include the initial state as the first element. + Parallel associative filtering is not supported for factorial filtering. Note that if output_factorial is True, this function will output a factorial state @@ -33,14 +38,18 @@ def filter( Args: filter_obj: The filter inference object. factorializer: The factorializer object for the inference method. - model_inputs: The model inputs (with leading temporal dimension of length T + 1). + model_inputs: The model inputs for filtering + (with leading temporal dimension of length T). + init_state: The initial factorial state + (with factorial dimension but no temporal dimension). + Generated by `filter_obj.init_prepare` and then factorialized by + `factorializer.factorialize_init_state`. output_factorial: If True, return a single state with first temporal dimension of length T + 1 and second factorial dimension of length F. - If False, return a tuple of states. The first being the initial state - with first dimension of length F and no temporal dimension. - The second being the local states for each time step, i.e. first + If False, return a tuple of states. + The first being the local states for each time step, i.e. first dimension of length T and no factorial dimension. - The third being the final factorial state with first dimension of + The second being the final factorial state with first dimension of length F and no temporal dimension. key: The key for the random number generator. @@ -48,27 +57,16 @@ def filter( If output_factorial is True, returns a single state with first temporal dimension of length T + 1 and second factorial dimension of length F. If output_factorial is False, returns a tuple of - (initial factorial state, local states for each time step, - final factorial state). + (local states for each time step, final factorial state). """ - T = tree.leaves(model_inputs)[0].shape[0] - 1 + T = tree.leaves(model_inputs)[0].shape[0] if key is None: # This will throw error if used as a key, which is desired behavior # (albeit not a useful error, we could improve this) - prepare_keys = jnp.empty(T + 1) + prepare_keys = jnp.empty(T) else: - prepare_keys = random.split(key, T + 1) - - init_model_input = tree.map(lambda x: x[0], model_inputs) - init_factorial_state = filter_obj.init_prepare( - init_model_input, key=prepare_keys[0] - ) - init_factorial_state = factorializer.factorialize_init_state( - init_factorial_state, init_model_input - ) - - prep_model_inputs = tree.map(lambda x: x[1:], model_inputs) + prepare_keys = random.split(key, T) def body_local(prev_factorial_state, prep_inp_and_k): prep_inp, k = prep_inp_and_k @@ -99,12 +97,12 @@ def body_factorial(prev_factorial_state, prep_inp_and_k): _, factorial_states = scan( body_factorial, - init_factorial_state, - (prep_model_inputs, prepare_keys[1:]), + init_state, + (model_inputs, prepare_keys), ) factorial_states = tree.map( lambda x, y: jnp.concatenate([x[None], y]), - init_factorial_state, + init_state, factorial_states, ) @@ -113,7 +111,7 @@ def body_factorial(prev_factorial_state, prep_inp_and_k): else: final_factorial_state, local_states = scan( body_local, - init_factorial_state, - (prep_model_inputs, prepare_keys[1:]), + init_state, + (model_inputs, prepare_keys), ) - return init_factorial_state, local_states, final_factorial_state + return local_states, final_factorial_state diff --git a/cuthbert/filtering.py b/cuthbert/filtering.py index ce5c6561..cd1cff47 100644 --- a/cuthbert/filtering.py +++ b/cuthbert/filtering.py @@ -13,17 +13,25 @@ def filter( filter_obj: Filter, model_inputs: ArrayTreeLike, + init_state: ArrayTree, + *, parallel: bool = False, key: KeyArray | None = None, ) -> ArrayTree: """Applies offline filtering given a filter object and model inputs. - `model_inputs` should have leading temporal dimension of length T + 1, + `model_inputs` should have leading temporal dimension of length T, where T is the number of time steps excluding the initial state. + The output will have leading temporal dimension of length T + 1, and + include the initial state as the first element. + Args: filter_obj: The filter inference object. - model_inputs: The model inputs (with leading temporal dimension of length T + 1). + model_inputs: The model inputs for filtering + (with leading temporal dimension of length T). + init_state: The initial state (with no temporal dimension). + Generated by `filter_obj.init_prepare`. parallel: Whether to run the filter in parallel. Requires `filter.associative_filter` to be `True`. key: The key for the random number generator. @@ -36,23 +44,18 @@ def filter( f"Parallel filtering attempted but filter.associative is False for {filter_obj}" ) - T = tree.leaves(model_inputs)[0].shape[0] - 1 + T = tree.leaves(model_inputs)[0].shape[0] if key is None: # This will throw error if used as a key, which is desired behavior # (albeit not a useful error, we could improve this) - prepare_keys = jnp.empty(T + 1) + prepare_keys = jnp.empty(T) else: - prepare_keys = random.split(key, T + 1) - - init_model_input = tree.map(lambda x: x[0], model_inputs) - init_state = filter_obj.init_prepare(init_model_input, key=prepare_keys[0]) - - prep_model_inputs = tree.map(lambda x: x[1:], model_inputs) + prepare_keys = random.split(key, T) if parallel: other_prep_states = vmap(lambda inp, k: filter_obj.filter_prepare(inp, key=k))( - prep_model_inputs, prepare_keys[1:] + model_inputs, prepare_keys ) prep_states = tree.map( lambda x, y: jnp.concatenate([x[None], y]), init_state, other_prep_states @@ -72,7 +75,7 @@ def body(prev_state, prep_inp_and_k): _, states = scan( body, init_state, - (prep_model_inputs, prepare_keys[1:]), + (model_inputs, prepare_keys), ) states = tree.map( lambda x, y: jnp.concatenate([x[None], y]), init_state, states From 049985733b4e2bb55ac6d6a757ef74071b8646f5 Mon Sep 17 00:00:00 2001 From: Sam Duffield Date: Wed, 1 Jul 2026 14:48:46 +0100 Subject: [PATCH 2/6] Update factorial README --- cuthbert/README.md | 8 ++++---- cuthbert/factorial/README.md | 15 +++++++++------ 2 files changed, 13 insertions(+), 10 deletions(-) diff --git a/cuthbert/README.md b/cuthbert/README.md index 11145226..418139f7 100644 --- a/cuthbert/README.md +++ b/cuthbert/README.md @@ -11,7 +11,7 @@ import cuthbert # Define model_inputs init_model_inputs = ... -filtering_model_inputs = ... +filter_model_inputs = ... # Load inference method kalman_filter = cuthbert.gaussian.kalman.build_filter( @@ -24,7 +24,7 @@ kalman_filter = cuthbert.gaussian.kalman.build_filter( state = kalman_filter.init_prepare(init_model_inputs) for t in range(T): - model_inputs_t = tree.map(lambda x: x[t], filtering_model_inputs) + model_inputs_t = tree.map(lambda x: x[t], filter_model_inputs) prepare_state = kalman_filter.filter_prepare(model_inputs_t) state = kalman_filter.filter_combine(state, prepare_state) ``` @@ -35,7 +35,7 @@ Or for offline inference: kalman_smoother = cuthbert.gaussian.kalman.build_smoother(get_dynamics_params) init_state = kalman_filter.init_prepare(init_model_inputs) -filter_states = cuthbert.filter(kalman_filter, filtering_model_inputs, init_state) -smoother_states = cuthbert.smoother(kalman_smoother, filter_states, model_inputs) +filter_states = cuthbert.filter(kalman_filter, filter_model_inputs, init_state) +smoother_states = cuthbert.smoother(kalman_smoother, filter_states, filter_model_inputs) ``` diff --git a/cuthbert/factorial/README.md b/cuthbert/factorial/README.md index df3246e1..ce282142 100644 --- a/cuthbert/factorial/README.md +++ b/cuthbert/factorial/README.md @@ -47,7 +47,8 @@ from jax import tree import cuthbert # Define model_inputs -model_inputs = ... +init_model_inputs = ... +filter_model_inputs = ... # Define function to extract the factorial indices from model inputs # Here we assume model_inputs is a NamedTuple with a field `factorial_inds` @@ -64,12 +65,11 @@ kalman_filter = cuthbert.gaussian.kalman.build_filter( ) # Online inference -init_model_inputs = tree.map(lambda x: x[0], model_inputs) factorial_state = kalman_filter.init_prepare(init_model_inputs) factorial_state = factorializer.factorialize_init_state(factorial_state, init_model_inputs) -for t in range(1, T): - model_inputs_t = tree.map(lambda x: x[t], model_inputs) +for t in range(T): + model_inputs_t = tree.map(lambda x: x[t], filter_model_inputs) local_state = factorializer.extract_and_join(prev_factorial_state, model_inputs_t) prepare_state = kalman_filter.filter_prepare(model_inputs_t) local_joint_filtered_state = kalman_filter.filter_combine(local_state, prepare_state) @@ -82,9 +82,12 @@ You can also use `cuthbert.factorial.filter` for convenient offline filtering. Note that associative/parallel filtering is not supported for factorial filtering. ```python -init_factorial_state, local_filter_states, final_factorial_state = ( +init_factorial_state = kalman_filter.init_prepare(init_model_inputs) +init_factorial_state = factorializer.factorialize_init_state(init_factorial_state, init_model_inputs) + +local_filter_states, final_factorial_state = ( cuthbert.factorial.filter( - kalman_filter, factorializer, model_inputs, output_factorial=False + kalman_filter, factorializer, init_factorial_state, filter_model_inputs, output_factorial=False ) ) ``` From 9d6cfc6ba5e20a93f63fd734655685a7d17be6a1 Mon Sep 17 00:00:00 2001 From: Sam Duffield Date: Fri, 3 Jul 2026 15:07:36 +0100 Subject: [PATCH 3/6] Fix some tests --- tests/cuthbert/discrete/test_discrete.py | 3 +- tests/cuthbert/enkf/test_enkf.py | 16 ++++-- tests/cuthbert/factorial/test_discrete.py | 7 +-- tests/cuthbert/factorial/test_kalman.py | 16 ++++-- tests/cuthbert/factorial/test_smc.py | 64 ++++++++++++++--------- tests/cuthbert/factorial/test_taylor.py | 15 ++++-- 6 files changed, 78 insertions(+), 43 deletions(-) diff --git a/tests/cuthbert/discrete/test_discrete.py b/tests/cuthbert/discrete/test_discrete.py index a5b25994..fad2dbb3 100644 --- a/tests/cuthbert/discrete/test_discrete.py +++ b/tests/cuthbert/discrete/test_discrete.py @@ -133,9 +133,10 @@ def test(self, seed, num_states, num_time_steps, parallel): ) # Run the filter and smoother + init_state = filter_obj.init_prepare(model_inputs[0]) filtered_states = self.variant( filter, static_argnames=("filter_obj", "parallel") - )(filter_obj, model_inputs, parallel=parallel) + )(filter_obj, model_inputs[1:], init_state, parallel=parallel) filt_dists, log_normalizing_constants = ( filtered_states.dist, filtered_states.log_normalizing_constant, diff --git a/tests/cuthbert/enkf/test_enkf.py b/tests/cuthbert/enkf/test_enkf.py index 0e47cff2..92d5b616 100644 --- a/tests/cuthbert/enkf/test_enkf.py +++ b/tests/cuthbert/enkf/test_enkf.py @@ -80,9 +80,10 @@ def test(self, seed, x_dim, y_dim, num_time_steps): inference, model_inputs = load_enkf_inference( m0, chol_P0, Fs, cs, chol_Qs, Hs, ds, chol_Rs, ys ) - key = random.key(seed + 1) + init_key, filter_key = random.split(random.key(seed + 1)) + init_state = inference.init_prepare(model_inputs[0], key=init_key) states = self.variant(filter, static_argnames=("filter_obj", "parallel"))( - inference, model_inputs, parallel=False, key=key + inference, model_inputs[1:], init_state, parallel=False, key=filter_key ) means = states.mean chol_covs = states.chol_cov @@ -136,10 +137,11 @@ def get_observations(model_inputs): ) model_inputs = jnp.arange(num_time_steps + 1) - key = random.key(seed + 1) + init_key, filter_key = random.split(random.key(seed + 1)) + init_state = inference.init_prepare(model_inputs[0], key=init_key) states = self.variant(filter, static_argnames=("filter_obj", "parallel"))( - inference, model_inputs, parallel=False, key=key + inference, model_inputs[1:], init_state, parallel=False, key=filter_key ) # Check shapes @@ -158,7 +160,11 @@ def init_sample_(key, model_inputs): get_observations=get_observations, n_particles=1_000, ) - states = filter(inference_, model_inputs, parallel=False, key=key) + init_key, filter_key = random.split(random.key(seed + 1)) + init_state = inference.init_prepare(model_inputs[0], key=init_key) + states = filter( + inference_, model_inputs, init_state, parallel=False, key=filter_key + ) return states.log_normalizing_constant[-1] grad_val = jax.grad(log_nc)(m0) diff --git a/tests/cuthbert/factorial/test_discrete.py b/tests/cuthbert/factorial/test_discrete.py index 3227cd5f..c5f850d4 100644 --- a/tests/cuthbert/factorial/test_discrete.py +++ b/tests/cuthbert/factorial/test_discrete.py @@ -160,8 +160,9 @@ def test_factorial_discrete_filter( ) # output_factorial=False - init_state, local_filter_states, final_state = factorial.filter( - filter_obj, factorializer, model_inputs, output_factorial=False + init_state = filter_obj.init_prepare(model_inputs[0]) + local_filter_states, final_state = factorial.filter( + filter_obj, factorializer, model_inputs[1:], init_state, output_factorial=False ) chex.assert_trees_all_close(init_state.dist, model_params[0], rtol=1e-10, atol=0.0) chex.assert_trees_all_close( @@ -180,7 +181,7 @@ def test_factorial_discrete_filter( # output_factorial=True factorial_states = factorial.filter( - filter_obj, factorializer, model_inputs, output_factorial=True + filter_obj, factorializer, model_inputs[1:], init_state, output_factorial=True ) chex.assert_trees_all_close( factorial_states.dist, factorial_dists_ref, rtol=1e-10, atol=0.0 diff --git a/tests/cuthbert/factorial/test_kalman.py b/tests/cuthbert/factorial/test_kalman.py index 428ca92a..b0b6823c 100644 --- a/tests/cuthbert/factorial/test_kalman.py +++ b/tests/cuthbert/factorial/test_kalman.py @@ -210,8 +210,9 @@ def test_filter(seed, x_dim, y_dim, num_factors, num_factors_local, num_time_ste fac_covs_t_all = jnp.stack(fac_covs_t_all) # Check output_factorial = False - init_state, local_filter_states, final_state = factorial.filter( - filter_obj, factorializer, model_inputs, output_factorial=False + init_state = filter_obj.init_prepare(model_inputs[0]) + local_filter_states, final_state = factorial.filter( + filter_obj, factorializer, model_inputs[1:], init_state, output_factorial=False ) local_filter_covs = ( local_filter_states.chol_cov @@ -241,7 +242,7 @@ def test_filter(seed, x_dim, y_dim, num_factors, num_factors_local, num_time_ste # Check output_factorial = True factorial_filtering_states = factorial.filter( - filter_obj, factorializer, model_inputs, output_factorial=True + filter_obj, factorializer, model_inputs[1:], init_state, output_factorial=True ) factorial_filtering_states = cast(ArrayTree, factorial_filtering_states) @@ -297,8 +298,13 @@ def test_smoother( smoother_factorial_index=smoother_factorial_index, ) - init_state, local_filter_states, _ = factorial.filter( - filter_obj, factorializer, filter_model_inputs, output_factorial=False + init_state = filter_obj.init_prepare(filter_model_inputs[0]) + local_filter_states, _ = factorial.filter( + filter_obj, + factorializer, + filter_model_inputs[1:], + init_state, + output_factorial=False, ) factorial_inds = model_params[-1] diff --git a/tests/cuthbert/factorial/test_smc.py b/tests/cuthbert/factorial/test_smc.py index 85a87766..2c434644 100644 --- a/tests/cuthbert/factorial/test_smc.py +++ b/tests/cuthbert/factorial/test_smc.py @@ -1,17 +1,16 @@ -from typing import NamedTuple, cast +from typing import NamedTuple import chex import jax import jax.numpy as jnp import pytest -from jax import Array, random +from jax import Array, random, tree from cuthbert import factorial from cuthbert.inference import Filter from cuthbert.smc.particle_filter import ParticleFilterState, build_filter from cuthbertlib.resampling import no_resampling, systematic from cuthbertlib.stats.multivariate_normal import logpdf -from cuthbertlib.types import ArrayTree from tests.cuthbert.factorial.gaussian_utils import generate_factorial_kalman_model from tests.cuthbert.factorial.test_kalman import build_pairwise_factorial_filter @@ -81,7 +80,7 @@ def weighted_mean_and_var(states: ParticleFilterState) -> tuple[Array, Array]: return mean, var -params = [(0, 8, 2, 8, 3000), (1, 8, 2, 8, 3000)] +params = [(0, 8, 2, 8, 10000), (1, 8, 2, 8, 10000)] def test_factorial_smc_scalar_particle_leaf(): @@ -130,39 +129,52 @@ def test_factorial_smc_filter( kalman_filter, kalman_factorializer, kalman_model_inputs = ( build_pairwise_factorial_filter(model_params) ) - kalman_states = cast( - ArrayTree, - factorial.filter( - kalman_filter, - kalman_factorializer, - kalman_model_inputs, - output_factorial=True, - ), + init_state = kalman_filter.init_prepare(kalman_model_inputs[0]) + init_state = kalman_factorializer.factorialize_init_state( + init_state, kalman_model_inputs[0] + ) + kalman_states = factorial.filter( + kalman_filter, + kalman_factorializer, + kalman_model_inputs[1:], + init_state, + output_factorial=True, ) - _, kalman_local_states, _ = factorial.filter( - kalman_filter, kalman_factorializer, kalman_model_inputs, output_factorial=False + kalman_local_states, _ = factorial.filter( + kalman_filter, + kalman_factorializer, + kalman_model_inputs[1:], + init_state, + output_factorial=False, ) kalman_covs = kalman_states.chol_cov @ kalman_states.chol_cov.transpose(0, 1, 3, 2) smc_filter, smc_factorializer, smc_model_inputs = build_factorial_smc_filter( model_params, n_particles=num_particles ) - smc_states = cast( - ParticleFilterState, - factorial.filter( - smc_filter, - smc_factorializer, - smc_model_inputs, - output_factorial=True, - key=random.key(seed + 123), - ), + smc_init_model_inputs = tree.map(lambda x: x[0], smc_model_inputs) + smc_filter_model_inputs = tree.map(lambda x: x[1:], smc_model_inputs) + + init_key, filter_key = random.split(random.key(seed + 123)) + init_smc_state = smc_filter.init_prepare(smc_init_model_inputs, key=init_key) + init_smc_state = smc_factorializer.factorialize_init_state( + init_smc_state, smc_init_model_inputs + ) + smc_states = factorial.filter( + smc_filter, + smc_factorializer, + smc_filter_model_inputs, + init_smc_state, + output_factorial=True, + key=filter_key, ) - _, smc_local_states, _ = factorial.filter( + smc_local_states, _ = factorial.filter( smc_filter, smc_factorializer, - smc_model_inputs, + smc_filter_model_inputs, + init_smc_state, output_factorial=False, - key=random.key(seed + 123), + key=filter_key, ) kalman_local_covs = ( kalman_local_states.chol_cov diff --git a/tests/cuthbert/factorial/test_taylor.py b/tests/cuthbert/factorial/test_taylor.py index 9f975feb..f160ee05 100644 --- a/tests/cuthbert/factorial/test_taylor.py +++ b/tests/cuthbert/factorial/test_taylor.py @@ -60,12 +60,21 @@ def observation_log_density(x, y): factorializer = factorial.gaussian.build_factorializer( lambda model_inputs: factorial_indices[model_inputs - 1] ) - filter_model_inputs = jnp.arange(num_time_steps + 1) + init_model_inputs = jnp.array(0) + filter_model_inputs = jnp.arange(1, num_time_steps + 1) - init_state, local_filter_states, _ = jax.jit( + init_state = filter_obj.init_prepare(init_model_inputs) + init_state = factorializer.factorialize_init_state(init_state, init_model_inputs) + local_filter_states, _ = jax.jit( factorial.filter, static_argnames=("filter_obj", "factorializer", "output_factorial"), - )(filter_obj, factorializer, filter_model_inputs, output_factorial=False) + )( + filter_obj, + factorializer, + filter_model_inputs, + init_state, + output_factorial=False, + ) assert init_state.mean.shape == (num_factors, x_dim) assert init_state.chol_cov.shape == (num_factors, x_dim, x_dim) From 3ae1f27d0bc8ecb7de984d7d9179e388fdd8f180 Mon Sep 17 00:00:00 2001 From: Sam Duffield Date: Fri, 3 Jul 2026 15:24:15 +0100 Subject: [PATCH 4/6] Fix remaining tests --- tests/cuthbert/enkf/test_enkf.py | 8 +++- tests/cuthbert/gaussian/test_kalman.py | 12 ++++-- tests/cuthbert/gaussian/test_moments.py | 23 +++++++++-- tests/cuthbert/gaussian/test_taylor.py | 43 +++++++++++++++++---- tests/cuthbert/smc/test_backward_sampler.py | 23 ++++++++--- tests/cuthbert/smc/test_particle_filters.py | 21 +++++++--- 6 files changed, 103 insertions(+), 27 deletions(-) diff --git a/tests/cuthbert/enkf/test_enkf.py b/tests/cuthbert/enkf/test_enkf.py index 92d5b616..b587ec9a 100644 --- a/tests/cuthbert/enkf/test_enkf.py +++ b/tests/cuthbert/enkf/test_enkf.py @@ -161,9 +161,13 @@ def init_sample_(key, model_inputs): n_particles=1_000, ) init_key, filter_key = random.split(random.key(seed + 1)) - init_state = inference.init_prepare(model_inputs[0], key=init_key) + init_state = inference_.init_prepare(model_inputs[0], key=init_key) states = filter( - inference_, model_inputs, init_state, parallel=False, key=filter_key + inference_, + model_inputs[1:], + init_state, + parallel=False, + key=filter_key, ) return states.log_normalizing_constant[-1] diff --git a/tests/cuthbert/gaussian/test_kalman.py b/tests/cuthbert/gaussian/test_kalman.py index 8f0b347a..21501598 100644 --- a/tests/cuthbert/gaussian/test_kalman.py +++ b/tests/cuthbert/gaussian/test_kalman.py @@ -119,8 +119,10 @@ def test_offline_filter(seed, x_dim, y_dim, num_time_steps): m0, chol_P0, Fs, cs, chol_Qs, Hs, ds, chol_Rs, ys ) + init_state = kalman_filter.init_prepare(model_inputs[0]) + # Run sequential sqrt filter - seq_states = filter(kalman_filter, model_inputs, parallel=False) + seq_states = filter(kalman_filter, model_inputs[1:], init_state, parallel=False) seq_means, seq_chol_covs, seq_ells = ( seq_states.mean, seq_states.chol_cov, @@ -128,7 +130,7 @@ def test_offline_filter(seed, x_dim, y_dim, num_time_steps): ) # Run parallel sqrt filter - par_states = filter(kalman_filter, model_inputs, parallel=True) + par_states = filter(kalman_filter, model_inputs[1:], init_state, parallel=True) par_means, par_chol_covs, par_ells = ( par_states.mean, par_states.chol_cov, @@ -166,7 +168,8 @@ def get_loglikelihood_from_params( kalman_filter, _, model_inputs = load_kalman_inference( m0_, chol_P0_, Fs_, cs_, chol_Qs_, Hs_, ds_, chol_Rs_, ys ) - states = filter(kalman_filter, model_inputs) + init_state = kalman_filter.init_prepare(model_inputs[0]) + states = filter(kalman_filter, model_inputs[1:], init_state) return states.log_normalizing_constant[-1] chex.assert_numerical_grads( @@ -231,7 +234,8 @@ def test_smoother(seed, x_dim, y_dim, num_time_steps): ) # Run the Kalman filter and the standard Kalman smoother. - filt_states = filter(kalman_filter, model_inputs) + init_state = kalman_filter.init_prepare(model_inputs[0]) + filt_states = filter(kalman_filter, model_inputs[1:], init_state) filt_means, filt_chol_covs = filt_states.mean, filt_states.chol_cov filt_covs = filt_chol_covs @ filt_chol_covs.transpose(0, 2, 1) Qs = chol_Qs @ chol_Qs.transpose(0, 2, 1) diff --git a/tests/cuthbert/gaussian/test_moments.py b/tests/cuthbert/gaussian/test_moments.py index 30b41865..22a2150c 100644 --- a/tests/cuthbert/gaussian/test_moments.py +++ b/tests/cuthbert/gaussian/test_moments.py @@ -93,8 +93,10 @@ def test_offline_filter(seed, x_dim, y_dim, num_time_steps): m0, chol_P0, Fs, cs, chol_Qs, Hs, ds, chol_Rs, ys, associative_filter=False ) + init_state = moments_filter.init_prepare(model_inputs[0]) + # Run sequential sqrt filter - seq_states = filter(moments_filter, model_inputs, parallel=False) + seq_states = filter(moments_filter, model_inputs[1:], init_state, parallel=False) seq_means, seq_chol_covs, seq_ells = ( seq_states.mean, seq_states.chol_cov, @@ -105,8 +107,15 @@ def test_offline_filter(seed, x_dim, y_dim, num_time_steps): m0, chol_P0, Fs, cs, chol_Qs, Hs, ds, chol_Rs, ys, associative_filter=True ) + associative_init_state = associative_moments_filter.init_prepare(model_inputs[0]) + # Run associative filter with parallel=False - seq_ass_states = filter(associative_moments_filter, model_inputs, parallel=False) + seq_ass_states = filter( + associative_moments_filter, + model_inputs[1:], + associative_init_state, + parallel=False, + ) seq_ass_means, seq_ass_chol_covs, seq_ass_ells = ( seq_ass_states.mean, seq_ass_states.chol_cov, @@ -114,7 +123,12 @@ def test_offline_filter(seed, x_dim, y_dim, num_time_steps): ) # Run associative filter with parallel=True - par_ass_states = filter(associative_moments_filter, model_inputs, parallel=True) + par_ass_states = filter( + associative_moments_filter, + model_inputs[1:], + associative_init_state, + parallel=True, + ) par_ass_means, par_ass_chol_covs, par_ass_ells = ( par_ass_states.mean, par_ass_states.chol_cov, @@ -200,7 +214,8 @@ def test_smoother(seed, x_dim, y_dim, num_time_steps): ) # Run the Kalman filter and the standard Kalman smoother. - filt_states = filter(extended_filter, model_inputs) + init_state = extended_filter.init_prepare(model_inputs[0]) + filt_states = filter(extended_filter, model_inputs[1:], init_state) filt_means, filt_chol_covs = filt_states.mean, filt_states.chol_cov filt_covs = filt_chol_covs @ filt_chol_covs.transpose(0, 2, 1) Qs = chol_Qs @ chol_Qs.transpose(0, 2, 1) diff --git a/tests/cuthbert/gaussian/test_taylor.py b/tests/cuthbert/gaussian/test_taylor.py index 2462be0b..7ca06960 100644 --- a/tests/cuthbert/gaussian/test_taylor.py +++ b/tests/cuthbert/gaussian/test_taylor.py @@ -153,8 +153,10 @@ def test_offline_filter(seed, x_dim, y_dim, num_time_steps): ignore_nan_dims=True, ) + init_state = taylor_filter.init_prepare(model_inputs[0]) + # Run sequential sqrt filter - seq_states = filter(taylor_filter, model_inputs, parallel=False) + seq_states = filter(taylor_filter, model_inputs[1:], init_state, parallel=False) seq_means, seq_chol_covs, seq_ells = ( seq_states.mean, seq_states.chol_cov, @@ -175,8 +177,15 @@ def test_offline_filter(seed, x_dim, y_dim, num_time_steps): ignore_nan_dims=True, ) + associative_init_state = associative_taylor_filter.init_prepare(model_inputs[0]) + # Run associative filter with parallel=False§ - seq_ass_states = filter(associative_taylor_filter, model_inputs, parallel=False) + seq_ass_states = filter( + associative_taylor_filter, + model_inputs[1:], + associative_init_state, + parallel=False, + ) seq_ass_means, seq_ass_chol_covs, seq_ass_ells = ( seq_ass_states.mean, seq_ass_states.chol_cov, @@ -184,7 +193,12 @@ def test_offline_filter(seed, x_dim, y_dim, num_time_steps): ) # Run associative filter with parallel=True - par_ass_states = filter(associative_taylor_filter, model_inputs, parallel=True) + par_ass_states = filter( + associative_taylor_filter, + model_inputs[1:], + associative_init_state, + parallel=True, + ) par_ass_means, par_ass_chol_covs, par_ass_ells = ( par_ass_states.mean, par_ass_states.chol_cov, @@ -314,7 +328,8 @@ def test_smoother(seed, x_dim, y_dim, num_time_steps): ) # Run the Kalman filter and the standard Kalman smoother. - filt_states = filter(log_density_filter, model_inputs) + init_state = log_density_filter.init_prepare(model_inputs[0]) + filt_states = filter(log_density_filter, model_inputs[1:], init_state) filt_means, filt_chol_covs = filt_states.mean, filt_states.chol_cov filt_covs = filt_chol_covs @ filt_chol_covs.transpose(0, 2, 1) Qs = chol_Qs @ chol_Qs.transpose(0, 2, 1) @@ -421,8 +436,10 @@ def test_offline_filter_potential(seed, x_dim, num_time_steps): m0, chol_P0, Fs, cs, chol_Qs, ms, chol_Rs, associative_filter=False ) + init_state = taylor_filter.init_prepare(model_inputs[0]) + # Run sequential sqrt filter - seq_states = filter(taylor_filter, model_inputs, parallel=False) + seq_states = filter(taylor_filter, model_inputs[1:], init_state, parallel=False) seq_means, seq_chol_covs, seq_ells = ( seq_states.mean, seq_states.chol_cov, @@ -433,15 +450,27 @@ def test_offline_filter_potential(seed, x_dim, num_time_steps): m0, chol_P0, Fs, cs, chol_Qs, ms, chol_Rs, associative_filter=True ) + associative_init_state = associative_taylor_filter.init_prepare(model_inputs[0]) + # Run associative filter with parallel=False - seq_ass_states = filter(associative_taylor_filter, model_inputs, parallel=False) + seq_ass_states = filter( + associative_taylor_filter, + model_inputs[1:], + associative_init_state, + parallel=False, + ) seq_ass_means, seq_ass_chol_covs, seq_ass_ells = ( seq_ass_states.mean, seq_ass_states.chol_cov, seq_ass_states.log_normalizing_constant, ) - par_ass_states = filter(associative_taylor_filter, model_inputs, parallel=True) + par_ass_states = filter( + associative_taylor_filter, + model_inputs[1:], + associative_init_state, + parallel=True, + ) par_ass_means, par_ass_chol_covs, par_ass_ells = ( par_ass_states.mean, par_ass_states.chol_cov, diff --git a/tests/cuthbert/smc/test_backward_sampler.py b/tests/cuthbert/smc/test_backward_sampler.py index 226af1f6..fbf9eabc 100644 --- a/tests/cuthbert/smc/test_backward_sampler.py +++ b/tests/cuthbert/smc/test_backward_sampler.py @@ -75,8 +75,15 @@ def test(self, seed, x_dim, y_dim, num_time_steps, method): filter_obj, model_inputs, log_potential = load_inference( m0, chol_P0, Fs, cs, chol_Qs, Hs, ds, chol_Rs, ys ) - key = random.key(seed + 1) - filtered_states = filter(filter_obj, model_inputs, False, key) + init_key, filter_key, smoother_key = random.split(random.key(seed + 1), 3) + init_state = filter_obj.init_prepare(model_inputs[0], key=init_key) + filtered_states = filter( + filter_obj, + model_inputs[1:], + init_state, + parallel=False, + key=filter_key, + ) if method == "tracing": bs_fn = tracing @@ -92,7 +99,6 @@ def test(self, seed, x_dim, y_dim, num_time_steps, method): smoother_obj = build_smoother( log_potential, bs_fn, systematic.resampling, n_smoother_particles ) - key, smoother_key = random.split(key) smoothed_states = self.variant( smoother, static_argnames=("smoother_obj", "parallel") )(smoother_obj, filtered_states, model_inputs, False, smoother_key) @@ -155,10 +161,17 @@ def log_potential(state_prev, state, model_inputs): raise ValueError(f"{method} is not a valid backward sampling method.") key = random.key(0) - filter_key, smoother_key = random.split(key) + init_key, filter_key, smoother_key = random.split(key, 3) num_time_steps = 5 model_inputs = jnp.empty(num_time_steps + 1) - filtered_states = filter(filter_obj, model_inputs, False, filter_key) + init_state = filter_obj.init_prepare(model_inputs[0], key=init_key) + filtered_states = filter( + filter_obj, + model_inputs[1:], + init_state, + parallel=False, + key=filter_key, + ) n_smoother_particles = 1000 smoother_obj = build_smoother( diff --git a/tests/cuthbert/smc/test_particle_filters.py b/tests/cuthbert/smc/test_particle_filters.py index f2dda632..3de3286a 100644 --- a/tests/cuthbert/smc/test_particle_filters.py +++ b/tests/cuthbert/smc/test_particle_filters.py @@ -107,9 +107,14 @@ def test(self, seed, x_dim, y_dim, num_time_steps, method): inference, model_inputs = load_inference( m0, chol_P0, Fs, cs, chol_Qs, Hs, ds, chol_Rs, ys, method ) - key = random.key(seed + 1) + init_key, filter_key = random.split(random.key(seed + 1)) + init_state = inference.init_prepare(model_inputs[0], key=init_key) states = self.variant(filter, static_argnames=("filter_obj", "parallel"))( - inference, model_inputs, parallel=False, key=key + inference, + model_inputs[1:], + init_state, + parallel=False, + key=filter_key, ) weights = jax.nn.softmax(states.log_weights) means = jnp.sum(states.particles * weights[..., None], axis=1) @@ -195,11 +200,17 @@ def log_potential(state_prev, state, model_inputs): key = random.key(0) num_time_steps = 5 - # Run the particle filter model_inputs = jnp.empty(num_time_steps + 1) - key, subkey = random.split(key) + + # Run the particle filter + init_key, filter_key = random.split(key) + init_state = inference.init_prepare(model_inputs[0], key=init_key) states = self.variant(filter, static_argnames=("filter_obj", "parallel"))( - inference, model_inputs, parallel=False, key=subkey + inference, + model_inputs[1:], + init_state, + parallel=False, + key=filter_key, ) # Verify that the pytree structure is preserved From 4e704efdbf22c154502d5f5d92f85a0c8990f5fa Mon Sep 17 00:00:00 2001 From: Sam Duffield Date: Fri, 3 Jul 2026 15:49:29 +0100 Subject: [PATCH 5/6] Update examples --- docs/assets/enkf_comparison.png | Bin 408607 -> 409170 bytes docs/assets/enkf_comparison_loglik.png | Bin 53344 -> 54623 bytes docs/assets/enkf_comparison_rmse.png | Bin 22884 -> 22889 bytes docs/assets/enkf_comparison_timing.png | Bin 30224 -> 24841 bytes docs/assets/pf_grad_bias_simulated_data.png | Bin 96410 -> 102765 bytes docs/examples/diff_pf_resampling.md | 15 ++++++++-- docs/examples/dynamax_integration.md | 4 +-- docs/examples/enkf_comparison.md | 28 +++++++++++++----- docs/examples/kalman_tracking.md | 12 ++++++-- docs/examples/online_stoch_vol.md | 9 ++++-- docs/examples/parameter_estimation_em.md | 3 +- 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z&ztt=16g8{O?qK#KEkiZbxSHVk9E%%JZP{6XQWkGWxMGH#D(ZV zr*ct9uuHa0&(kNT+8P`Sj|E+1Gce!fZ6uiP8sx}Baj`5X!lec1)sIt1VdkKxDZ*U6 zZ{VKgteb);eKGElNT0P$3u6n)J&CAYQkCO=C_ zJ0MbZ$eW5k81#g(DtLLw+X!Z!Vtw}en?zYc8p5p7-IaM8r6)7d`B9oBA^2vNgKo8= z#iC|-Ya7y|SxdMoAtF=GhMWA&PcjIJowC%FOp%ZpYSyhr6g>WY>VZ0M2Xo0aGvE64 z2JKj%E44NKu`k;9f|Ih_k>sW{7JAj%E~Nfo^DW&hzh~Gft6k-2A1b_rudzW@NjySf zAju?RQ2*3t@ao8!skBdihd*TW=W0P%Tlo!fSz1}hUXi_?KHtEHrzrK~oAhLG?yfbv zY8!)1d2k?0qd)wWRZJr$3u5j$@yu7&nxjn$^MQE zUBL3wi`t;bRt`?x%Ik3*+> ``` --> - diff --git a/docs/examples/enkf_comparison.md b/docs/examples/enkf_comparison.md index 8c8dcd4b..8c0f2853 100644 --- a/docs/examples/enkf_comparison.md +++ b/docs/examples/enkf_comparison.md @@ -164,14 +164,16 @@ ekf = taylor.build_filter( ) jitted_filter = jit(run_filter, static_argnames=["filter_obj"]) +filter_model_inputs = model_inputs[1:] n_timing = 20 -ekf_states = jitted_filter(ekf, model_inputs) # warm up +ekf_init_state = ekf.init_prepare(model_inputs[0]) +ekf_states = jitted_filter(ekf, filter_model_inputs, ekf_init_state) # warm up jax.block_until_ready(ekf_states) _times = [] for _ in range(n_timing): _t0 = time.perf_counter() - jax.block_until_ready(jitted_filter(ekf, model_inputs)) + jax.block_until_ready(jitted_filter(ekf, filter_model_inputs, ekf_init_state)) _times.append(time.perf_counter() - _t0) ekf_time = float(jnp.median(jnp.array(_times))) @@ -194,13 +196,18 @@ enkf = ensemble_kalman_filter.build_filter( perturbed_obs=True, ) -key, enkf_key = random.split(key) -enkf_states = jitted_filter(enkf, model_inputs, key=enkf_key) # warm up +key, enkf_init_key, enkf_filter_key = random.split(key, 3) +enkf_init_state = enkf.init_prepare(model_inputs[0], key=enkf_init_key) +enkf_states = jitted_filter( + enkf, filter_model_inputs, enkf_init_state, key=enkf_filter_key +) # warm up jax.block_until_ready(enkf_states) _times = [] for _ in range(n_timing): _t0 = time.perf_counter() - jax.block_until_ready(jitted_filter(enkf, model_inputs, key=enkf_key)) + jax.block_until_ready( + jitted_filter(enkf, filter_model_inputs, enkf_init_state, key=enkf_filter_key) + ) _times.append(time.perf_counter() - _t0) enkf_time = float(jnp.median(jnp.array(_times))) @@ -225,13 +232,18 @@ pf = particle_filter.build_filter( resampling_fn=adaptive_systematic, ) -key, pf_key = random.split(key) -pf_states = jitted_filter(pf, model_inputs, key=pf_key) # warm up +key, pf_init_key, pf_filter_key = random.split(key, 3) +pf_init_state = pf.init_prepare(model_inputs[0], key=pf_init_key) +pf_states = jitted_filter( + pf, filter_model_inputs, pf_init_state, key=pf_filter_key +) # warm up jax.block_until_ready(pf_states) _times = [] for _ in range(n_timing): _t0 = time.perf_counter() - jax.block_until_ready(jitted_filter(pf, model_inputs, key=pf_key)) + jax.block_until_ready( + jitted_filter(pf, filter_model_inputs, pf_init_state, key=pf_filter_key) + ) _times.append(time.perf_counter() - _t0) pf_time = float(jnp.median(jnp.array(_times))) diff --git a/docs/examples/kalman_tracking.md b/docs/examples/kalman_tracking.md index cf7bee1d..d3a3dea3 100644 --- a/docs/examples/kalman_tracking.md +++ b/docs/examples/kalman_tracking.md @@ -142,7 +142,8 @@ function with our constructed filter object and model inputs: ```{.python #kalman-run-filter} # Run the filter -filtered_states = filter(filter_obj, model_inputs, parallel=True) +init_state = filter_obj.init_prepare(model_inputs[0]) +filtered_states = filter(filter_obj, model_inputs[1:], init_state, parallel=True) # Extract results means = filtered_states.mean # Posterior state means @@ -165,7 +166,9 @@ log_normalizing_constant = filtered_states.log_normalizing_constant # Log margi ```{.python #kalman-jit-example} jitted_filter = jit(filter, static_argnames=['filter_obj', 'parallel']) - filtered_states = jitted_filter(filter_obj, model_inputs, parallel=True) + filtered_states = jitted_filter( + filter_obj, model_inputs[1:], init_state, parallel=True + ) ``` ### Visualize the results @@ -213,7 +216,10 @@ car's position. ) # Run filtering - cuthbert handles NaNs automatically - filtered_states_missing = filter(filter_obj_missing, model_inputs_missing) + init_state_missing = filter_obj_missing.init_prepare(model_inputs_missing[0]) + filtered_states_missing = filter( + filter_obj_missing, model_inputs_missing[1:], init_state_missing + ) print("Successfully handled missing observations!") print("Missing observation period: steps 20-30 during the car's turn") diff --git a/docs/examples/online_stoch_vol.md b/docs/examples/online_stoch_vol.md index e520df63..d2aa9e63 100644 --- a/docs/examples/online_stoch_vol.md +++ b/docs/examples/online_stoch_vol.md @@ -211,8 +211,11 @@ We'll then use the `cuthbert.filter` offline filtering function to run on the pr data. ```{.python #online-stoch-vol-particle-filter-run-previous} -key, previous_key = random.split(random.key(0)) -previous_states = filter(pf, previous_data, key=key) +key, init_key, previous_key = random.split(random.key(0), 3) +init_data = tree.map(lambda x: x[0], previous_data) +filter_data = tree.map(lambda x: x[1:], previous_data) +init_state = pf.init_prepare(init_data, key=init_key) +previous_states = filter(pf, filter_data, init_state, key=previous_key) filter_state = tree.map(lambda x: x[-1], previous_states) ``` @@ -350,4 +353,4 @@ This time the filter sees the actual log-return rather than `jnp.nan`. <> <> ``` ---> \ No newline at end of file +--> diff --git a/docs/examples/parameter_estimation_em.md b/docs/examples/parameter_estimation_em.md index 6baf8f44..5b2040b5 100644 --- a/docs/examples/parameter_estimation_em.md +++ b/docs/examples/parameter_estimation_em.md @@ -298,7 +298,8 @@ n_epochs = 30 for epoch in range(n_epochs): filter_obj, smoother_obj = model_factory(params) - filtered_states = filter(filter_obj, model_inputs) + init_state = filter_obj.init_prepare(model_inputs[0]) + filtered_states = filter(filter_obj, model_inputs[1:], init_state) log_marginal_likelihood_track.append(filtered_states.log_normalizing_constant[-1]) smoother_states = smoother(smoother_obj, filtered_states) diff --git a/docs/examples/temporal_parallelization_kalman.md b/docs/examples/temporal_parallelization_kalman.md index 8c5e25c1..556b7772 100644 --- a/docs/examples/temporal_parallelization_kalman.md +++ b/docs/examples/temporal_parallelization_kalman.md @@ -67,15 +67,17 @@ sequential and parallel implementations. ```{.python #parallel-kalman-compiletime} jitted_filter = jax.jit(filter, static_argnames=("filter_obj", "parallel")) +init_state = filter_obj.init_prepare(model_inputs[0]) +filter_model_inputs = model_inputs[1:] seq_compile_time = timeit.Timer( lambda: jax.block_until_ready( - jitted_filter(filter_obj, model_inputs, parallel=False) + jitted_filter(filter_obj, filter_model_inputs, init_state, parallel=False) ) ).timeit(number=1) par_compile_time = timeit.Timer( lambda: jax.block_until_ready( - jitted_filter(filter_obj, model_inputs, parallel=True) + jitted_filter(filter_obj, filter_model_inputs, init_state, parallel=True) ) ).timeit(number=1) ``` @@ -88,12 +90,12 @@ num_runs = 10 seq_runtimes = timeit.Timer( lambda: jax.block_until_ready( - jitted_filter(filter_obj, model_inputs, parallel=False) + jitted_filter(filter_obj, filter_model_inputs, init_state, parallel=False) ) ).repeat(repeat=num_runs, number=1) par_runtimes = timeit.Timer( lambda: jax.block_until_ready( - jitted_filter(filter_obj, model_inputs, parallel=True) + jitted_filter(filter_obj, filter_model_inputs, init_state, parallel=True) ) ).repeat(repeat=num_runs, number=1) diff --git a/docs/quickstart.md b/docs/quickstart.md index a48b3307..ff7d726f 100644 --- a/docs/quickstart.md +++ b/docs/quickstart.md @@ -11,7 +11,7 @@ from typing import NamedTuple import matplotlib.pyplot as plt import pandas as pd -from jax import Array, vmap +from jax import Array, tree, vmap from jax import numpy as jnp from jax.nn import sigmoid from jax.scipy.stats import norm @@ -266,7 +266,10 @@ football_filter = taylor.build_filter( We'll use [`cuthbert.filter`][cuthbert.filtering.filter] to easily run offline filtering on our data. ```{.python #quickstart-run-filter} -filter_states = filter(football_filter, match_data) +init_match_data = tree.map(lambda x: x[0], match_data) +filter_match_data = tree.map(lambda x: x[1:], match_data) +init_state = football_filter.init_prepare(init_match_data) +filter_states = filter(football_filter, filter_match_data, init_state) ``` That was easy wasn't it? From 73f8137fc8cf5ac4778e8723271e97dd6ef5317c Mon Sep 17 00:00:00 2001 From: SamDuffield <34280297+SamDuffield@users.noreply.github.com> Date: Sat, 4 Jul 2026 09:51:07 +0100 Subject: [PATCH 6/6] Update cuthbert/factorial/README.md Co-authored-by: Sahel Iqbal --- cuthbert/factorial/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/cuthbert/factorial/README.md b/cuthbert/factorial/README.md index ce282142..898df3b4 100644 --- a/cuthbert/factorial/README.md +++ b/cuthbert/factorial/README.md @@ -87,7 +87,7 @@ init_factorial_state = factorializer.factorialize_init_state(init_factorial_stat local_filter_states, final_factorial_state = ( cuthbert.factorial.filter( - kalman_filter, factorializer, init_factorial_state, filter_model_inputs, output_factorial=False + kalman_filter, factorializer, filter_model_inputs, init_factorial_state, output_factorial=False ) ) ```