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zbdu29vGoG$V|&2KqXn0$syZtY=Ntm0-vL8p24H@U7^2Zf4$CfBAfIm@SvAEor=li~ zTIltcMz|AChvVBslZh7;&x~F61GrvZRdq#YnXkd;>g%)#As*Bi`@q2SVH(&5lE>aupN*WK_JRybwW81Q?!{l97)d25DkWbwH9QL?{HKuih7`k;ACL^CFr} z)Xw>!!K2X1eVilo=A6J*Braoux`(HYm?#=i+|-0`+U4r1s*KmKV@&ac0@a=l5l+Z| z@r4eOj6RASVVqu8AT< zMHlm5Lf1re2Ssl;mU!f*zvK12#k+r?v+h2|BQ?ds!V8Ff@=-(XSource code for blackjax._version

    -__version__ = version = '0.1.dev1+g2ccdfb0' -__version_tuple__ = version_tuple = (0, 1, 'dev1', 'g2ccdfb0') +__version__ = version = '0.1.dev1+g3dc3809' +__version_tuple__ = version_tuple = (0, 1, 'dev1', 'g3dc3809') diff --git a/_modules/blackjax/smc/base.html b/_modules/blackjax/smc/base.html index 3f8c0d300..9c1bd96da 100644 --- a/_modules/blackjax/smc/base.html +++ b/_modules/blackjax/smc/base.html @@ -415,6 +415,10 @@

    Source code for blackjax.smc.base

     
    [docs] weights: Array
    + +
    +[docs] + update_parameters: ArrayTree
    @@ -450,12 +454,12 @@

    Source code for blackjax.smc.base

     
     
    [docs] -def init(particles: ArrayLikeTree): +def init(particles: ArrayLikeTree, init_update_params): # Infer the number of particles from the size of the leading dimension of # the first leaf of the inputted PyTree. num_particles = jax.tree_util.tree_flatten(particles)[0][0].shape[0] weights = jnp.ones(num_particles) / num_particles - return SMCState(particles, weights)
    + return SMCState(particles, weights, init_update_params)
    @@ -531,17 +535,31 @@

    Source code for blackjax.smc.base

         particles = jax.tree_map(lambda x: x[resampling_idx], state.particles)
     
         keys = jax.random.split(updating_key, num_resampled)
    -    particles, update_info = update_fn(keys, particles)
    +    particles, update_info = update_fn(keys, particles, state.update_parameters)
     
         log_weights = weight_fn(particles)
         logsum_weights = jax.scipy.special.logsumexp(log_weights)
         normalizing_constant = logsum_weights - jnp.log(num_particles)
         weights = jnp.exp(log_weights - logsum_weights)
     
    -    return SMCState(particles, weights), SMCInfo(
    +    return SMCState(particles, weights, state.update_parameters), SMCInfo(
             resampling_idx, normalizing_constant, update_info
         )
    + + +
    +[docs] +def extend_params(n_particles, params): + """Given a dictionary of params, repeats them for every single particle. The expected + usage is in cases where the aim is to repeat the same parameters for all chains within SMC. + """ + + def extend(param): + return jnp.repeat(jnp.asarray(param)[None, ...], n_particles, axis=0) + + return jax.tree_map(extend, params)
    + diff --git a/_modules/blackjax/smc/inner_kernel_tuning.html b/_modules/blackjax/smc/inner_kernel_tuning.html index 3d54703b2..d21396707 100644 --- a/_modules/blackjax/smc/inner_kernel_tuning.html +++ b/_modules/blackjax/smc/inner_kernel_tuning.html @@ -378,13 +378,20 @@

    Source code for blackjax.smc.inner_kernel_tuning

    [docs] class StateWithParameterOverride(NamedTuple): + """ + Stores both the sampling status and also a dictionary + that contains an dictionary with parameter names as key + and (n_particles, *) arrays as meanings. The latter + represent a parameter per chain for the next mutation step. + """ +
    [docs] sampler_state: ArrayTree
    [docs] - parameter_override: ArrayTree
    + parameter_override: Dict[str, ArrayTree]
    @@ -402,11 +409,10 @@

    Source code for blackjax.smc.inner_kernel_tuning

    smc_algorithm, logprior_fn: Callable, loglikelihood_fn: Callable, - mcmc_factory: Callable, + mcmc_step_fn: Callable, mcmc_init_fn: Callable, - mcmc_parameters: Dict, resampling_fn: Callable, - mcmc_parameter_update_fn: Callable[[SMCState, SMCInfo], ArrayTree], + mcmc_parameter_update_fn: Callable[[SMCState, SMCInfo], Dict[str, ArrayTree]], num_mcmc_steps: int = 10, **extra_parameters, ) -> Callable: @@ -423,12 +429,11 @@

    Source code for blackjax.smc.inner_kernel_tuning

    A function that computes the log density of the prior distribution loglikelihood_fn A function that returns the probability at a given position. - mcmc_factory - A callable that can construct an inner kernel out of the newly-computed parameter + mcmc_step_fn: + The transition kernel, should take as parameters the dictionary output of mcmc_parameter_update_fn. + mcmc_step_fn(rng_key, state, tempered_logposterior_fn, **mcmc_parameter_update_fn()) mcmc_init_fn A callable that initializes the inner kernel - mcmc_parameters - Other (fixed across SMC iterations) parameters for the inner kernel mcmc_parameter_update_fn A callable that takes the SMCState and SMCInfo at step i and constructs a parameter to be used by the inner kernel in i+1 iteration. extra_parameters: @@ -441,9 +446,9 @@

    Source code for blackjax.smc.inner_kernel_tuning

    step_fn = smc_algorithm( logprior_fn=logprior_fn, loglikelihood_fn=loglikelihood_fn, - mcmc_step_fn=mcmc_factory(state.parameter_override), + mcmc_step_fn=mcmc_step_fn, mcmc_init_fn=mcmc_init_fn, - mcmc_parameters=mcmc_parameters, + mcmc_parameters=state.parameter_override, resampling_fn=resampling_fn, num_mcmc_steps=num_mcmc_steps, **extra_parameters, @@ -474,17 +479,15 @@

    Source code for blackjax.smc.inner_kernel_tuning

    A function that computes the log density of the prior distribution loglikelihood_fn A function that returns the probability at a given position. - mcmc_factory - A callable that can construct an inner kernel out of the newly-computed parameter + mcmc_step_fn + The transition kernel, should take as parameters the dictionary output of mcmc_parameter_update_fn. mcmc_init_fn A callable that initializes the inner kernel - mcmc_parameters - Other (fixed across SMC iterations) parameters for the inner kernel step mcmc_parameter_update_fn A callable that takes the SMCState and SMCInfo at step i and constructs a parameter to be used by the inner kernel in i+1 iteration. initial_parameter_value - Paramter to be used by the mcmc_factory before the first iteration. + Parameter to be used by the mcmc_factory before the first iteration. extra_parameters: parameters to be used for the creation of the smc_algorithm. @@ -508,9 +511,8 @@

    Source code for blackjax.smc.inner_kernel_tuning

    smc_algorithm: Union[adaptive_tempered_smc, tempered_smc], logprior_fn: Callable, loglikelihood_fn: Callable, - mcmc_factory: Callable, + mcmc_step_fn: Callable, mcmc_init_fn: Callable, - mcmc_parameters: Dict, resampling_fn: Callable, mcmc_parameter_update_fn: Callable[[SMCState, SMCInfo], ArrayTree], initial_parameter_value, @@ -521,9 +523,8 @@

    Source code for blackjax.smc.inner_kernel_tuning

    smc_algorithm, logprior_fn, loglikelihood_fn, - mcmc_factory, + mcmc_step_fn, mcmc_init_fn, - mcmc_parameters, resampling_fn, mcmc_parameter_update_fn, num_mcmc_steps, diff --git a/_modules/blackjax/smc/tempered.html b/_modules/blackjax/smc/tempered.html index 240d8a6ed..0a7dac43a 100644 --- a/_modules/blackjax/smc/tempered.html +++ b/_modules/blackjax/smc/tempered.html @@ -512,12 +512,12 @@

    Source code for blackjax.smc.tempered

                 tempered_loglikelihood = state.lmbda * loglikelihood_fn(position)
                 return logprior + tempered_loglikelihood
     
    -        def mcmc_kernel(rng_key, position):
    +        def mcmc_kernel(rng_key, position, step_parameters):
                 state = mcmc_init_fn(position, tempered_logposterior_fn)
     
                 def body_fn(state, rng_key):
                     new_state, info = mcmc_step_fn(
    -                    rng_key, state, tempered_logposterior_fn, **mcmc_parameters
    +                    rng_key, state, tempered_logposterior_fn, **step_parameters
                     )
                     return new_state, info
     
    @@ -527,7 +527,7 @@ 

    Source code for blackjax.smc.tempered

     
             smc_state, info = smc.base.step(
                 rng_key,
    -            SMCState(state.particles, state.weights),
    +            SMCState(state.particles, state.weights, mcmc_parameters),
                 jax.vmap(mcmc_kernel),
                 jax.vmap(log_weights_fn),
                 resampling_fn,
    diff --git a/_sources/autoapi/blackjax/smc/base/index.rst b/_sources/autoapi/blackjax/smc/base/index.rst
    index 60e4aba72..8242e0b7b 100644
    --- a/_sources/autoapi/blackjax/smc/base/index.rst
    +++ b/_sources/autoapi/blackjax/smc/base/index.rst
    @@ -24,6 +24,7 @@ Functions
     
        blackjax.smc.base.init
        blackjax.smc.base.step
    +   blackjax.smc.base.extend_params
     
     
     
    @@ -59,6 +60,11 @@ Functions
     
           
     
    +   .. py:attribute:: update_parameters
    +      :type: blackjax.types.ArrayTree
    +
    +      
    +
     
     .. py:class:: SMCInfo
     
    @@ -91,7 +97,7 @@ Functions
           
     
     
    -.. py:function:: init(particles: blackjax.types.ArrayLikeTree)
    +.. py:function:: init(particles: blackjax.types.ArrayLikeTree, init_update_params)
     
     
     .. py:function:: step(rng_key: blackjax.types.PRNGKey, state: SMCState, update_fn: Callable, weight_fn: Callable, resample_fn: Callable, num_resampled: Optional[int] = None) -> tuple[SMCState, SMCInfo]
    @@ -135,3 +141,9 @@ Functions
                    transition.
     
     
    +.. py:function:: extend_params(n_particles, params)
    +
    +   Given a dictionary of params, repeats them for every single particle. The expected
    +   usage is in cases where the aim is to repeat the same parameters for all chains within SMC.
    +
    +
    diff --git a/_sources/autoapi/blackjax/smc/index.rst b/_sources/autoapi/blackjax/smc/index.rst
    index 46db88f78..b6a442639 100644
    --- a/_sources/autoapi/blackjax/smc/index.rst
    +++ b/_sources/autoapi/blackjax/smc/index.rst
    @@ -28,3 +28,17 @@ Submodules
        tempered/index.rst
     
     
    +Package Contents
    +----------------
    +
    +
    +Functions
    +~~~~~~~~~
    +
    +.. autoapisummary::
    +
    +   blackjax.smc.extend_params
    +
    +
    +
    +
    diff --git a/_sources/autoapi/blackjax/smc/inner_kernel_tuning/index.rst b/_sources/autoapi/blackjax/smc/inner_kernel_tuning/index.rst
    index c9a0cce73..b3e137e69 100644
    --- a/_sources/autoapi/blackjax/smc/inner_kernel_tuning/index.rst
    +++ b/_sources/autoapi/blackjax/smc/inner_kernel_tuning/index.rst
    @@ -32,13 +32,18 @@ Functions
     
     
     
    +   Stores both the sampling status and also a dictionary
    +   that contains an dictionary with parameter names as key
    +   and (n_particles, *) arrays as meanings. The latter
    +   represent a parameter per chain for the next mutation step.
    +
        .. py:attribute:: sampler_state
           :type: blackjax.types.ArrayTree
     
           
     
        .. py:attribute:: parameter_override
    -      :type: blackjax.types.ArrayTree
    +      :type: Dict[str, blackjax.types.ArrayTree]
     
           
     
    @@ -46,7 +51,7 @@ Functions
     .. py:function:: init(alg_init_fn, position, initial_parameter_value)
     
     
    -.. py:function:: build_kernel(smc_algorithm, logprior_fn: Callable, loglikelihood_fn: Callable, mcmc_factory: Callable, mcmc_init_fn: Callable, mcmc_parameters: Dict, resampling_fn: Callable, mcmc_parameter_update_fn: Callable[[blackjax.smc.base.SMCState, blackjax.smc.base.SMCInfo], blackjax.types.ArrayTree], num_mcmc_steps: int = 10, **extra_parameters) -> Callable
    +.. py:function:: build_kernel(smc_algorithm, logprior_fn: Callable, loglikelihood_fn: Callable, mcmc_step_fn: Callable, mcmc_init_fn: Callable, resampling_fn: Callable, mcmc_parameter_update_fn: Callable[[blackjax.smc.base.SMCState, blackjax.smc.base.SMCInfo], Dict[str, blackjax.types.ArrayTree]], num_mcmc_steps: int = 10, **extra_parameters) -> Callable
     
        In the context of an SMC sampler (whose step_fn returning state has a .particles attribute), there's an inner
        MCMC that is used to perturbate/update each of the particles. This adaptation tunes some parameter of that MCMC,
    @@ -56,9 +61,9 @@ Functions
                              a sampling algorithm that returns an SMCState and SMCInfo pair).
        :param logprior_fn: A function that computes the log density of the prior distribution
        :param loglikelihood_fn: A function that returns the probability at a given position.
    -   :param mcmc_factory: A callable that can construct an inner kernel out of the newly-computed parameter
    +   :param mcmc_step_fn: The transition kernel, should take as parameters the dictionary output of mcmc_parameter_update_fn.
    +                        mcmc_step_fn(rng_key, state, tempered_logposterior_fn, **mcmc_parameter_update_fn())
        :param mcmc_init_fn: A callable that initializes the inner kernel
    -   :param mcmc_parameters: Other (fixed across SMC iterations) parameters for the inner kernel
        :param mcmc_parameter_update_fn: A callable that takes the SMCState and SMCInfo at step i and constructs a parameter to be used by the inner kernel in i+1 iteration.
        :param extra_parameters: parameters to be used for the creation of the smc_algorithm.
     
    @@ -76,12 +81,11 @@ Functions
                              a sampling algorithm that returns an SMCState and SMCInfo pair).
        :param logprior_fn: A function that computes the log density of the prior distribution
        :param loglikelihood_fn: A function that returns the probability at a given position.
    -   :param mcmc_factory: A callable that can construct an inner kernel out of the newly-computed parameter
    +   :param mcmc_step_fn: The transition kernel, should take as parameters the dictionary output of mcmc_parameter_update_fn.
        :param mcmc_init_fn: A callable that initializes the inner kernel
    -   :param mcmc_parameters: Other (fixed across SMC iterations) parameters for the inner kernel step
        :param mcmc_parameter_update_fn: A callable that takes the SMCState and SMCInfo at step i and constructs a parameter to be used by the
                                         inner kernel in i+1 iteration.
    -   :param initial_parameter_value: Paramter to be used by the mcmc_factory before the first iteration.
    +   :param initial_parameter_value: Parameter to be used by the mcmc_factory before the first iteration.
        :param extra_parameters: parameters to be used for the creation of the smc_algorithm.
     
        :rtype: A ``SamplingAlgorithm``.
    diff --git a/autoapi/blackjax/smc/base/index.html b/autoapi/blackjax/smc/base/index.html
    index 766bdfd8c..f215ddf87 100644
    --- a/autoapi/blackjax/smc/base/index.html
    +++ b/autoapi/blackjax/smc/base/index.html
    @@ -371,6 +371,7 @@ 

    Contents

  2. SMCState
  3. SMCInfo
  4. @@ -417,12 +419,15 @@

    Classes#<

    Functions#

    - + + + +

    init(particles)

    init(particles, init_update_params)

    step(→ tuple[SMCState, SMCInfo])

    General SMC sampling step.

    extend_params(n_particles, params)

    Given a dictionary of params, repeats them for every single particle. The expected

    @@ -468,6 +473,11 @@

    Functionsweights: blackjax.types.Array[source]#

    +
    +
    +update_parameters: blackjax.types.ArrayTree[source]#
    +
    +

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    @@ -502,7 +512,7 @@

    Functions
    -init(particles: blackjax.types.ArrayLikeTree)[source]#
    +init(particles: blackjax.types.ArrayLikeTree, init_update_params)[source]#

    @@ -552,6 +562,13 @@

    Functions +
    +extend_params(n_particles, params)[source]#
    +

    Given a dictionary of params, repeats them for every single particle. The expected +usage is in cases where the aim is to repeat the same parameters for all chains within SMC.

    +

    + @@ -607,6 +624,7 @@

    FunctionsSMCState

  5. SMCInfo
  6. diff --git a/autoapi/blackjax/smc/index.html b/autoapi/blackjax/smc/index.html index d5bc3667c..89db582a4 100644 --- a/autoapi/blackjax/smc/index.html +++ b/autoapi/blackjax/smc/index.html @@ -366,6 +366,10 @@

    Contents

    @@ -405,6 +409,19 @@

    Submodules +

    Package Contents#

    +
    +

    Functions#

    + + + + + + +

    extend_params(n_particles, params)

    Given a dictionary of params, repeats them for every single particle. The expected

    +
    + @@ -454,6 +471,10 @@

    Submodules
  7. Subpackages
  8. Submodules
  9. +
  10. Package Contents +
  11. diff --git a/autoapi/blackjax/smc/inner_kernel_tuning/index.html b/autoapi/blackjax/smc/inner_kernel_tuning/index.html index 7c109b35f..75bc35f43 100644 --- a/autoapi/blackjax/smc/inner_kernel_tuning/index.html +++ b/autoapi/blackjax/smc/inner_kernel_tuning/index.html @@ -403,7 +403,7 @@

    Classes#< - + @@ -426,14 +426,18 @@

    Functions
    class StateWithParameterOverride[source]#
    -
    +

    Stores both the sampling status and also a dictionary +that contains an dictionary with parameter names as key +and (n_particles, *) arrays as meanings. The latter +represent a parameter per chain for the next mutation step.

    +
    sampler_state: blackjax.types.ArrayTree[source]#
    -parameter_override: blackjax.types.ArrayTree[source]#
    +parameter_override: Dict[str, blackjax.types.ArrayTree][source]#
    @@ -445,7 +449,7 @@

    Functions
    -build_kernel(smc_algorithm, logprior_fn: Callable, loglikelihood_fn: Callable, mcmc_factory: Callable, mcmc_init_fn: Callable, mcmc_parameters: Dict, resampling_fn: Callable, mcmc_parameter_update_fn: Callable[[blackjax.smc.base.SMCState, blackjax.smc.base.SMCInfo], blackjax.types.ArrayTree], num_mcmc_steps: int = 10, **extra_parameters) Callable[source]#
    +build_kernel(smc_algorithm, logprior_fn: Callable, loglikelihood_fn: Callable, mcmc_step_fn: Callable, mcmc_init_fn: Callable, resampling_fn: Callable, mcmc_parameter_update_fn: Callable[[blackjax.smc.base.SMCState, blackjax.smc.base.SMCInfo], Dict[str, blackjax.types.ArrayTree]], num_mcmc_steps: int = 10, **extra_parameters) Callable[source]#

    In the context of an SMC sampler (whose step_fn returning state has a .particles attribute), there’s an inner MCMC that is used to perturbate/update each of the particles. This adaptation tunes some parameter of that MCMC, based on particles. The parameter type must be a valid JAX type.

    @@ -456,9 +460,9 @@

    Functions**mcmc_parameter_update_fn())

  12. mcmc_init_fn – A callable that initializes the inner kernel

  13. -
  14. mcmc_parameters – Other (fixed across SMC iterations) parameters for the inner kernel

  15. mcmc_parameter_update_fn – A callable that takes the SMCState and SMCInfo at step i and constructs a parameter to be used by the inner kernel in i+1 iteration.

  16. extra_parameters – parameters to be used for the creation of the smc_algorithm.

  17. @@ -481,12 +485,11 @@

    Functions
    (HMCState(position=1.0, logdensity=Array(-2.5600991, dtype=float32), logdensity_grad=Array(-1.6666666, dtype=float32, weak_type=True)),
    - HMCState(position=Array(0.7034274, dtype=float32, weak_type=True), logdensity=Array(-2.1626294, dtype=float32), logdensity_grad=Array(-1.0333002, dtype=float32, weak_type=True)))
    + HMCState(position=Array(0.6890707, dtype=float32, weak_type=True), logdensity=Array(-2.1479936, dtype=float32), logdensity_grad=Array(-1.0056156, dtype=float32, weak_type=True)))
     
    diff --git a/examples/howto_metropolis_within_gibbs.html b/examples/howto_metropolis_within_gibbs.html index 2b2ee940c..3a39a4c78 100644 --- a/examples/howto_metropolis_within_gibbs.html +++ b/examples/howto_metropolis_within_gibbs.html @@ -604,8 +604,8 @@

    Sampling
    -
    /opt/hostedtoolcache/Python/3.11.8/x64/lib/python3.11/site-packages/arviz/plots/pairplot.py:232: FutureWarning: The return type of `Dataset.dims` will be changed to return a set of dimension names in future, in order to be more consistent with `DataArray.dims`. To access a mapping from dimension names to lengths, please use `Dataset.sizes`.
    -  gridsize = int(dataset.dims["draw"] ** 0.35)
    -
    -
    -../_images/cf2bff6aa74ac128b1bcbf5a93dc10245f5aac3baafdfe445a1c3abcf2bd9ff6.png +../_images/7c1235b7e45c5babac2cb411a000faad8b0eac047423475b3af2f98e0e075367.png
    @@ -747,8 +743,8 @@

    Sampling#
    -
    CPU times: user 708 ms, sys: 24.3 ms, total: 732 ms
    -Wall time: 724 ms
    +
    CPU times: user 719 ms, sys: 40 ms, total: 759 ms
    +Wall time: 752 ms
     
    diff --git a/examples/howto_sample_multiple_chains.html b/examples/howto_sample_multiple_chains.html index e62699a5c..dd78b7db6 100644 --- a/examples/howto_sample_multiple_chains.html +++ b/examples/howto_sample_multiple_chains.html @@ -524,8 +524,8 @@

    Using jax.vmap<

    diff --git a/examples/howto_use_numpyro.html b/examples/howto_use_numpyro.html index f49d8e919..9c06b8b93 100644 --- a/examples/howto_use_numpyro.html +++ b/examples/howto_use_numpyro.html @@ -526,7 +526,7 @@

    Use with Numpyro models
    @@ -581,14 +581,14 @@

    Use with Numpyro models
    -
    -
    -
    CPU times: user 16.3 s, sys: 184 ms, total: 16.5 s
    -Wall time: 16.4 s
    +
    CPU times: user 16.6 s, sys: 161 ms, total: 16.7 s
    +Wall time: 16.7 s
     
    @@ -626,7 +626,7 @@

    Use with Oryx models
    -
    HMCState(position={'loc': 1.0, 'log_scale': 1.0}, logdensity=Array(-35465.92, dtype=float32), logdensity_grad={'loc': Array(1267.4371, dtype=float32, weak_type=True), 'log_scale': Array(66093.97, dtype=float32, weak_type=True)})
    +
    HMCState(position={'loc': 1.0, 'log_scale': 1.0}, logdensity=Array(-33674.758, dtype=float32), logdensity_grad={'loc': Array(1039.1694, dtype=float32, weak_type=True), 'log_scale': Array(62511.64, dtype=float32, weak_type=True)})
     
    @@ -585,8 +585,8 @@

    NUTS#

    StateWithParameterOverride

    Stores both the sampling status and also a dictionary

    inner_kernel_tuning

    In the context of an SMC sampler (whose step_fn returning state

    @@ -1985,11 +1987,13 @@

    U

  18. update_info (SMCInfo attribute)
  19. - - +
    • update_median_heuristic() (in module blackjax.vi.svgd) +
    • +
    • update_parameters (SMCState attribute)
    • update_scale_from_acceptance_rate() (in module blackjax.smc.tuning.from_kernel_info)
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"blackjax.sgmcmc.sgnht", "blackjax.smc.adaptive_tempered", "blackjax.smc.base", "blackjax.smc.ess", "blackjax.smc", "blackjax.smc.inner_kernel_tuning", "blackjax.smc.resampling", "blackjax.smc.solver", "blackjax.smc.tempered", "blackjax.smc.tuning.from_kernel_info", "blackjax.smc.tuning.from_particles", "blackjax.smc.tuning", "blackjax.types", "blackjax.util", "blackjax.vi", "blackjax.vi.meanfield_vi", "blackjax.vi.pathfinder", "blackjax.vi.schrodinger_follmer", "blackjax.vi.svgd", "Bibliography", "Use custom gradients", "How to build a Metropolis-Within-Gibbs sampler?", "Use a logdensity function that is not compatible with JAX\u2019s primitives", "Reproducing the front page image of the repository", "Sample with multiple chains in parallel", "Use with Aesara models", "Use with Numpyro models", "Use with Oryx models", "Use with PyMC models", "Use with TFP models", "A Quick Introduction to Blackjax", "Welcome to Blackjax!"], "terms": {"type_check": 0, "fals": [0, 9, 31, 55, 64, 65, 68, 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