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metamodel

Dataclass for storing multi model and dataset systems.

MetaModel dataclass

Class that manages multiple models and datasets at once. This enables computing a single model for multiple datasets as well as multiple models with shared parameters.

Attributes:

Name Type Description
global_comm Comm | Intracomm

The MPI communicator used for all datasets.

models tuple[Model, ...]

Tuple of models to fit together.

datasets tuple[DataSet]

Tuple of datasets to fit together.

parameter_map tuple[tuple[int, ...], ...]

Structure to map the parameters held in MetaModel to each individual Model instance. Thie ith entry is a tuple that indexes MetaModel.parameters to get the parameters for the ith Model in MetaModel.models

model_map tuple[tuple[int, ...], ...]

Structure to map models to datasets. The jth entry is an n_model length tuple in which the ith entry lists the indices of MetaModel.models used by MetaModel.datasets[j].

metadata_map tuple[tuple[tuple[int, ...], ...], ...]

Structure to map what metadata to apply to which model. The jth entry is an n_model length tuple in which the ith entry lists the indices of MetaModel.datasets[j].metadata to apply to MetaModel.models[i].

parameters Array

The parameters of this MetaModel.

errors Array

The error currently associated with each element of MetaModel.parameters.

chisq Array

The log-likelihood of the current state of the MetaModel.

Source code in witch/containers/metamodel.py
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@register_pytree_node_class
@dataclass
class MetaModel:
    """
    Class that manages multiple models and datasets at once.
    This enables computing a single model for multiple datasets
    as well as multiple models with shared parameters.

    Attributes
    ----------
    global_comm : MPI.Comm | MPI.Intracomm
        The MPI communicator used for all datasets.
    models : tuple[Model, ...]
        Tuple of models to fit together.
    datasets : tuple[DataSet]
        Tuple of datasets to fit together.
    parameter_map : tuple[tuple[int, ...], ...]
        Structure to map the parameters held in `MetaModel`
        to each individual `Model` instance.
        Thie `i`th entry is a tuple that indexes `MetaModel.parameters`
        to get the parameters for the `i`th `Model` in `MetaModel.models`
    model_map : tuple[tuple[int, ...], ...]
        Structure to map models to datasets.
        The `j`th entry is an `n_model` length tuple in which the
        `i`th entry lists the indices of `MetaModel.models` used by
        `MetaModel.datasets[j]`.
    metadata_map : tuple[tuple[tuple[int, ...], ...], ...]
        Structure to map what metadata to apply to which model.
        The `j`th entry is an `n_model` length tuple in which the
        `i`th entry lists the indices of `MetaModel.datasets[j].metadata`
        to apply to `MetaModel.models[i]`.
    parameters : jax.Array
        The parameters of this `MetaModel`.
    errors : jax.Array
        The error currently associated with each element of `MetaModel.parameters`.
    chisq : jax.Array
        The log-likelihood of the current state of the `MetaModel`.
    """

    global_comm: MPI.Comm | MPI.Intracomm | wu.NullComm
    models: tuple[Model, ...]
    datasets: tuple[DataSet, ...]
    parameter_map: tuple[tuple[int, ...], ...]
    model_map: tuple[tuple[int, ...], ...]
    metadata_map: tuple[tuple[tuple[int, ...], ...], ...]
    parameters: jax.Array
    errors: jax.Array
    chisq: jax.Array

    def __repr__(self) -> str:
        reprs = [str(model) for model in self.models]
        rep = []
        idx = 0
        for r in reprs:
            message = r.split("\n")
            rep += message[idx:-1]
        rep = "\n".join(rep)
        rep += f"\nchisq is {self.chisq}"
        return rep

    def check_compatibility(self, other: Self) -> bool:
        """
        Check if another `MetaModel` instance is compatible with this one.
        Used for checkpointing.

        Arguments
        ---------
        other : MetaModel
            The `MetaModel` instance to check compatibility with.

        Returns
        -------
        compatible : bool
            True if compatible,
            False if not.
        """
        # Check models
        if len(self.models) != len(other.models):
            return False
        for sm, om in zip(self.models, other.models):
            if not sm.check_compatibility(om):
                return False

        # Check datasets (just names for now)
        if len(self.datasets) != len(other.datasets):
            return False
        for sd, od in zip(self.datasets, other.datasets):
            if sd.name != od.name:
                return False

        # Check mappings
        if self.parameter_map != other.parameter_map:
            return False
        if self.model_map != other.metadata_map:
            return False
        if self.metadata_map != other.metadata_map:
            return False

        return True

    @cached_property
    def par_names(self) -> tuple[str]:
        """
        Get the parameter names in the same order as `self.parameters`.

        Returns
        -------
        par_name : jax.Array
            String array of parameter names.
        """
        par_names = np.zeros_like(self.parameters, dtype="U128")
        for model, par_map in zip(self.models, self.parameter_map):
            par_names[list(par_map)] = np.array(model.par_names, dtype="U128")

        return tuple(par_names.tolist())

    @property
    def to_fit(self) -> jax.Array:
        """
        Get which parameters will  be fit this round in the same order `self.parameters`.

        Returns
        -------
        to_fit : jax.Array
            Boolean array that is True for parameters that will be fit this round.
        """
        to_fit = jnp.zeros_like(self.parameters, dtype=bool)
        for model, par_map in zip(self.models, self.parameter_map):
            to_fit = to_fit.at[jnp.array(par_map)].set(jnp.array(model.to_fit))

        return to_fit

    @cached_property
    def to_fit_ever(self) -> jax.Array:
        """
        Get which parameters will ever be fit in the same order `self.parameters`.

        Returns
        -------
        to_fit_ever : jax.Array
            Boolean array that is True for parameters that will be fit.
        """
        to_fit_ever = jnp.zeros_like(self.parameters, dtype=bool)
        for model, par_map in zip(self.models, self.parameter_map):
            to_fit_ever = to_fit_ever.at[jnp.array(par_map)].set(
                jnp.array(model.to_fit_ever)
            )

        return to_fit_ever

    @cached_property
    def priors(self) -> tuple[jax.Array, jax.Array]:
        """
        Get priors in the same order as `self.parameters`.

        Returns
        -------
        priors_low : jax.Array
            Lower bound of prior ranges.
        priors_high : jax.Array
            Higher bound of prior ranges.
        """
        priors_low = jnp.zeros_like(self.parameters)
        priors_high = jnp.zeros_like(self.parameters)
        for model, par_map in zip(self.models, self.parameter_map):
            priors_low = priors_low.at[jnp.array(par_map)].set(model.priors[0])
            priors_high = priors_high.at[jnp.array(par_map)].set(model.priors[1])

        return priors_low, priors_high

    @cached_property
    def cur_round(self) -> jax.Array:
        """
        Get the current round of fitting.

        Returns
        -------
        cur_round : int
            The current fitting round.
        """
        cur_rounds = jnp.array([model.cur_round for model in self.models]).ravel()
        cur_round = cur_rounds[0]

        return cur_round

    @cached_property
    def n_rounds(self) -> jax.Array:
        """
        Get the total rounds of fitting.

        Returns
        -------
        n_rounds : int
            The total fitting rounds.
        """
        n_rounds_all = jnp.array([model.n_rounds for model in self.models]).ravel()
        n_rounds = n_rounds_all[0]

        return n_rounds

    def model_grid(self, dataset_ind: int) -> jax.Array:
        """
        Get the model for a dataset on the computed grid.
        This currently assumes that all models have the same grid.
        This will not apply any metadata (ie. beam convolution).

        Parameters
        ----------
        dataset_ind : int
            The index of the dataset in `self.datasets` to use.

        Returns
        -------
        model_grid : jax.Array
            The model on the computed grid.
        """
        m_map = self.model_map[dataset_ind]
        proj = jnp.zeros_like(self.models[m_map[0]].model)
        for i in m_map:
            model = self.models[i]
            ip = model.model
            proj = proj.at[:].add(ip)
        return proj

    def model_proj(self, dataset_ind: int, datavec_ind: int) -> jax.Array:
        """
        Project the models held in the metamodel to some data in a dataset.

        Parameters
        ----------
        dataset_ind : int
            The index of the dataset in `self.datasets` to use.
        datavec_ind : int
            The index of the data in `self.datasets[dataset_ind].datavec` to use.

        Returns
        -------
        model_proj : jax.Array
            The metamodel projected into an array that matches the shape of
            `self.datasets[dataset_ind].datavec[datavec_ind]`.
        """
        dset = self.datasets[dataset_ind]
        m_map = self.model_map[dataset_ind]
        md_map = self.metadata_map[dataset_ind]
        data = dset.datavec[datavec_ind]
        if dset.mode == "tod":
            x = data.x
            y = data.y
        else:
            x, y = data.xy
        x = x * wu.rad_to_arcsec
        y = y * wu.rad_to_arcsec
        proj = jnp.zeros_like(x)
        for i in m_map:
            model = self.models[i]
            md = md_map[i]
            ip = model.model
            for md_idx in md:
                ip = dset.metadata[md_idx].apply(ip)
            _proj = _project(ip, x, y, model.xyz)
            for md_idx in md:
                _proj = dset.metadata[md_idx].apply_proj(_proj)
            proj = proj.at[:].add(_proj)
        return proj

    def model_grad_proj(self, dataset_ind: int, datavec_ind: int) -> jax.Array:
        """
        Project the models held in the metamodel to some data in a dataset.

        Parameters
        ----------
        dataset_ind : int
            The index of the dataset in `self.datasets` to use.
        datavec_ind : int
            The index of the data in `self.datasets[dataset_ind].datavec` to use.

        Returns
        -------
        model_grad_proj : jax.Array
            The metamodel gradients projected into an array with `len(self.parameters)` elements
            where each element matches the shape of `self.datasets[dataset_ind].datavec[datavec_ind]`.
        """
        dset = self.datasets[dataset_ind]
        m_map = self.model_map[dataset_ind]
        md_map = self.metadata_map[dataset_ind]
        data = dset.datavec[datavec_ind]
        if dset.mode == "tod":
            x = data.x
            y = data.y
        else:
            x, y = data.xy
        x = x * wu.rad_to_arcsec
        y = y * wu.rad_to_arcsec
        proj_grad = jnp.zeros(self.parameters.shape + x.shape)
        for i in m_map:
            model = self.models[i]
            md = md_map[i]
            par_map = self.parameter_map[i]
            ip_grad = model.model_grad[1]
            for md_idx in md:
                ip_grad = dset.metadata[md_idx].apply_grad(ip_grad)
            _proj_grad = _project_vectorized(ip_grad, x, y, model.xyz)
            for md_idx in md:
                _proj_grad = dset.metadata[md_idx].apply_grad_proj(_proj_grad)
            proj_grad = proj_grad.at[jnp.array(par_map)].add(_proj_grad)
        return proj_grad

    def get_dataset_ind(self, dset_name: str) -> int:
        """
        Get the index of a dataset

        Parameters
        ----------
        dset_name : str
            The name of the dataset to find

        Returns
        -------
        dataset_ind : int
            The index of the dataset.
        """
        dataset_ind = -1
        for i, dset in enumerate(self.datasets):
            if dset_name == dset.name:
                dataset_ind = i
                break
        return dataset_ind

    def update(self, vals: jax.Array, errs: jax.Array, chisq: jax.Array) -> Self:
        """
        Update the parameter values and errors as well as the model chi-squared
        for all models in the metamodel.

        Parameters
        ----------
        vals : jax.Array
            The new parameter values.
            Should be in the same order as `pars`.
        errs : jax.Array
            The new parameter errors.
            Should be in the same order as `pars`.
        chisq : jax.Array
            The new chi-squared.
            Should be a scalar float array.

        Returns
        -------
        updated : MetaModel
            The updated metamodel.
            While nominally the metamodel will update in place, returning it
            alows us to use this function in JITed functions.
        """
        self.parameters = vals
        self.errors = errs
        self.chisq = chisq
        self.models = tuple(
            deepcopy(model).update(
                vals[jnp.array(par_map)], errs[jnp.array(par_map)], chisq
            )
            for model, par_map in zip(self.models, self.parameter_map)
        )

        return copy(self)

    def add_round(self, to_fit: jax.Array) -> Self:
        """
        Add an additional round to the metamodel.

        Parameters
        ----------
        to_fit : jax.Array
            Boolean array denoting which parameters to fit this round.
            Should be in the same order as `self.parameters`.

        Returns
        -------
        updated : MetaModel
            The updated metamodel with the new round.
            While nominally the model will update in place, returning it
            alows us to use this function in JITed functions.
        """
        self.__dict__.pop("n_rounds", None)
        self.__dict__.pop("to_fit", None)
        self.__dict__.pop("to_fit_ever", None)
        self.models = tuple(
            model.add_round(to_fit[jnp.array(par_map)])
            for model, par_map in zip(self.models, self.parameter_map)
        )

        return self

    def set_round(self, new_round: int) -> Self:
        """
        Set the round of the metamodel.

        Parameters
        ----------
        new_round : int
            The number of the round to go to.

        Returns
        -------
        updated : MetaModel
            The updated metamodel with the round updated.
            While nominally the model will update in place, returning it
            alows us to use this function in JITed functions.
        """
        if new_round > self.n_rounds or new_round < 0:
            raise ValueError("Trying to set a round that doesn't exist!")
        self.__dict__.pop("cur_round", None)
        self.__dict__.pop("to_fit", None)
        for model in self.models:
            model.cur_round = new_round

        return self

    def save(self, path: str, state: dict = {}):
        """
        Serialize the model to a file with dill.

        Parameters
        ----------
        path : str
            The file to save to.
            Does not check to see if the path is valid.
        state : dict
            Dictionary of metadata to understand the state when we are saving.
        """
        datavecs = []
        comms = []
        gcomm = self.global_comm
        for dataset in self.datasets:
            datavecs += [dataset.datavec]
            comms += [dataset.global_comm]
            dataset.datavec = None
            dataset.global_comm = wu.NullComm()
        self.global_comm = wu.NullComm()
        with open(path, "wb") as f:
            dill.dump((self, state), f)
        for dataset, datavec, comm in zip(self.datasets, datavecs, comms):
            dataset.datavec = datavec
            dataset.global_comm = comm
        self.global_comm = gcomm

    @classmethod
    def load(cls, path: str) -> tuple[Self, dict]:
        """
        Load the model from a file with dill.

        Parameters
        ----------
        path : str
            The path to the saved model.
            Does not check to see if the path is valid.

        Returns
        -------
        model : MetaModel
            The loaded model.
        state : dict
            Dictionary of metadata to understand the state from when we saved.
        """
        with open(path, "rb") as f:
            return dill.load(f)

    def remove_structs(self, cfg):
        """
        Create a new metamodel with marked structures removed.

        Parameters
        ----------
        cfg : dict
            The config loaded into a dict.

        Returns
        -------
        metamodel : MetaModel
            The metamodel described with structures removed.
        """
        new_metamodel = self.__class__.from_config(
            self.global_comm, cfg, self.datasets, True
        )
        new_metamodel = new_metamodel.update(self.parameters, self.errors, self.chisq)
        return new_metamodel

    @classmethod
    def from_config(
        cls,
        global_comm: MPI.Comm | MPI.Intracomm | wu.NullComm,
        cfg: dict,
        datasets: tuple[DataSet, ...],
        remove_structs: bool = False,
    ) -> Self:
        """
        Create an instance of metamodel from a witcher config.

        Parameters
        ----------
        global_comm: MPI.Comm | MPI.Intracomm | wu.NullComm,
            The communicator for this metamodel.
        cfg : dict
            The config loaded into a dict.
        datasets : tuple[DataSet]
            The datasets to associate with this model
        remove_structs : bool, default: False
            If True don't include structures marked for removal.

        Returns
        -------
        metamodel : MetaModel
            The metamodel described by the config.
        """
        metacfg = cfg.get("metamodel", {})

        # First lets load all the models
        mlist = metacfg.get("models", ["model"])
        models = tuple(
            Model.from_cfg(cfg, model_field, False, remove_structs)
            for model_field in mlist
        )
        model_ind = {model_field: i for i, model_field in enumerate(mlist)}

        # Now lets make the model map
        mmap = metacfg.get("model_map", {dset.name: mlist for dset in datasets})
        model_map = tuple(
            tuple(
                sorted(tuple(model_ind[model_field] for model_field in mmap[dset.name]))
            )
            for dset in datasets
        )

        par_map, pars, errs = _compute_par_map_and_pars(metacfg, models)

        metadata_map = _compute_metadata_map(models, datasets)

        return cls(
            global_comm,
            models,
            datasets,
            par_map,
            model_map,
            metadata_map,
            pars,
            errs,
            models[0].chisq,
        )

    # Functons for making this a pytree
    # Don't call this on your own
    def tree_flatten(self) -> tuple[tuple, tuple]:
        children = (
            self.models,
            self.datasets,
            self.parameters,
            self.errors,
            self.chisq,
        )
        aux_data = (
            self.global_comm,
            self.model_map,
            self.parameter_map,
            self.metadata_map,
        )

        return (children, aux_data)

    @classmethod
    def tree_unflatten(cls, aux_data, children) -> Self:
        global_comm, model_map, parameter_map, metadata_map = aux_data
        models, datasets, parameters, errors, chisq = children

        return cls(
            global_comm,
            models,
            datasets,
            parameter_map,
            model_map,
            metadata_map,
            parameters,
            errors,
            chisq,
        )

cur_round cached property

Get the current round of fitting.

Returns:

Name Type Description
cur_round int

The current fitting round.

n_rounds cached property

Get the total rounds of fitting.

Returns:

Name Type Description
n_rounds int

The total fitting rounds.

par_names cached property

Get the parameter names in the same order as self.parameters.

Returns:

Name Type Description
par_name Array

String array of parameter names.

priors cached property

Get priors in the same order as self.parameters.

Returns:

Name Type Description
priors_low Array

Lower bound of prior ranges.

priors_high Array

Higher bound of prior ranges.

to_fit property

Get which parameters will be fit this round in the same order self.parameters.

Returns:

Name Type Description
to_fit Array

Boolean array that is True for parameters that will be fit this round.

to_fit_ever cached property

Get which parameters will ever be fit in the same order self.parameters.

Returns:

Name Type Description
to_fit_ever Array

Boolean array that is True for parameters that will be fit.

add_round(to_fit)

Add an additional round to the metamodel.

Parameters:

Name Type Description Default
to_fit Array

Boolean array denoting which parameters to fit this round. Should be in the same order as self.parameters.

required

Returns:

Name Type Description
updated MetaModel

The updated metamodel with the new round. While nominally the model will update in place, returning it alows us to use this function in JITed functions.

Source code in witch/containers/metamodel.py
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def add_round(self, to_fit: jax.Array) -> Self:
    """
    Add an additional round to the metamodel.

    Parameters
    ----------
    to_fit : jax.Array
        Boolean array denoting which parameters to fit this round.
        Should be in the same order as `self.parameters`.

    Returns
    -------
    updated : MetaModel
        The updated metamodel with the new round.
        While nominally the model will update in place, returning it
        alows us to use this function in JITed functions.
    """
    self.__dict__.pop("n_rounds", None)
    self.__dict__.pop("to_fit", None)
    self.__dict__.pop("to_fit_ever", None)
    self.models = tuple(
        model.add_round(to_fit[jnp.array(par_map)])
        for model, par_map in zip(self.models, self.parameter_map)
    )

    return self

check_compatibility(other)

Check if another MetaModel instance is compatible with this one. Used for checkpointing.

Arguments

other : MetaModel The MetaModel instance to check compatibility with.

Returns:

Name Type Description
compatible bool

True if compatible, False if not.

Source code in witch/containers/metamodel.py
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def check_compatibility(self, other: Self) -> bool:
    """
    Check if another `MetaModel` instance is compatible with this one.
    Used for checkpointing.

    Arguments
    ---------
    other : MetaModel
        The `MetaModel` instance to check compatibility with.

    Returns
    -------
    compatible : bool
        True if compatible,
        False if not.
    """
    # Check models
    if len(self.models) != len(other.models):
        return False
    for sm, om in zip(self.models, other.models):
        if not sm.check_compatibility(om):
            return False

    # Check datasets (just names for now)
    if len(self.datasets) != len(other.datasets):
        return False
    for sd, od in zip(self.datasets, other.datasets):
        if sd.name != od.name:
            return False

    # Check mappings
    if self.parameter_map != other.parameter_map:
        return False
    if self.model_map != other.metadata_map:
        return False
    if self.metadata_map != other.metadata_map:
        return False

    return True

from_config(global_comm, cfg, datasets, remove_structs=False) classmethod

Create an instance of metamodel from a witcher config.

Parameters:

Name Type Description Default
global_comm Comm | Intracomm | NullComm

The communicator for this metamodel.

required
cfg dict

The config loaded into a dict.

required
datasets tuple[DataSet]

The datasets to associate with this model

required
remove_structs bool

If True don't include structures marked for removal.

False

Returns:

Name Type Description
metamodel MetaModel

The metamodel described by the config.

Source code in witch/containers/metamodel.py
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@classmethod
def from_config(
    cls,
    global_comm: MPI.Comm | MPI.Intracomm | wu.NullComm,
    cfg: dict,
    datasets: tuple[DataSet, ...],
    remove_structs: bool = False,
) -> Self:
    """
    Create an instance of metamodel from a witcher config.

    Parameters
    ----------
    global_comm: MPI.Comm | MPI.Intracomm | wu.NullComm,
        The communicator for this metamodel.
    cfg : dict
        The config loaded into a dict.
    datasets : tuple[DataSet]
        The datasets to associate with this model
    remove_structs : bool, default: False
        If True don't include structures marked for removal.

    Returns
    -------
    metamodel : MetaModel
        The metamodel described by the config.
    """
    metacfg = cfg.get("metamodel", {})

    # First lets load all the models
    mlist = metacfg.get("models", ["model"])
    models = tuple(
        Model.from_cfg(cfg, model_field, False, remove_structs)
        for model_field in mlist
    )
    model_ind = {model_field: i for i, model_field in enumerate(mlist)}

    # Now lets make the model map
    mmap = metacfg.get("model_map", {dset.name: mlist for dset in datasets})
    model_map = tuple(
        tuple(
            sorted(tuple(model_ind[model_field] for model_field in mmap[dset.name]))
        )
        for dset in datasets
    )

    par_map, pars, errs = _compute_par_map_and_pars(metacfg, models)

    metadata_map = _compute_metadata_map(models, datasets)

    return cls(
        global_comm,
        models,
        datasets,
        par_map,
        model_map,
        metadata_map,
        pars,
        errs,
        models[0].chisq,
    )

get_dataset_ind(dset_name)

Get the index of a dataset

Parameters:

Name Type Description Default
dset_name str

The name of the dataset to find

required

Returns:

Name Type Description
dataset_ind int

The index of the dataset.

Source code in witch/containers/metamodel.py
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def get_dataset_ind(self, dset_name: str) -> int:
    """
    Get the index of a dataset

    Parameters
    ----------
    dset_name : str
        The name of the dataset to find

    Returns
    -------
    dataset_ind : int
        The index of the dataset.
    """
    dataset_ind = -1
    for i, dset in enumerate(self.datasets):
        if dset_name == dset.name:
            dataset_ind = i
            break
    return dataset_ind

load(path) classmethod

Load the model from a file with dill.

Parameters:

Name Type Description Default
path str

The path to the saved model. Does not check to see if the path is valid.

required

Returns:

Name Type Description
model MetaModel

The loaded model.

state dict

Dictionary of metadata to understand the state from when we saved.

Source code in witch/containers/metamodel.py
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@classmethod
def load(cls, path: str) -> tuple[Self, dict]:
    """
    Load the model from a file with dill.

    Parameters
    ----------
    path : str
        The path to the saved model.
        Does not check to see if the path is valid.

    Returns
    -------
    model : MetaModel
        The loaded model.
    state : dict
        Dictionary of metadata to understand the state from when we saved.
    """
    with open(path, "rb") as f:
        return dill.load(f)

model_grad_proj(dataset_ind, datavec_ind)

Project the models held in the metamodel to some data in a dataset.

Parameters:

Name Type Description Default
dataset_ind int

The index of the dataset in self.datasets to use.

required
datavec_ind int

The index of the data in self.datasets[dataset_ind].datavec to use.

required

Returns:

Name Type Description
model_grad_proj Array

The metamodel gradients projected into an array with len(self.parameters) elements where each element matches the shape of self.datasets[dataset_ind].datavec[datavec_ind].

Source code in witch/containers/metamodel.py
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def model_grad_proj(self, dataset_ind: int, datavec_ind: int) -> jax.Array:
    """
    Project the models held in the metamodel to some data in a dataset.

    Parameters
    ----------
    dataset_ind : int
        The index of the dataset in `self.datasets` to use.
    datavec_ind : int
        The index of the data in `self.datasets[dataset_ind].datavec` to use.

    Returns
    -------
    model_grad_proj : jax.Array
        The metamodel gradients projected into an array with `len(self.parameters)` elements
        where each element matches the shape of `self.datasets[dataset_ind].datavec[datavec_ind]`.
    """
    dset = self.datasets[dataset_ind]
    m_map = self.model_map[dataset_ind]
    md_map = self.metadata_map[dataset_ind]
    data = dset.datavec[datavec_ind]
    if dset.mode == "tod":
        x = data.x
        y = data.y
    else:
        x, y = data.xy
    x = x * wu.rad_to_arcsec
    y = y * wu.rad_to_arcsec
    proj_grad = jnp.zeros(self.parameters.shape + x.shape)
    for i in m_map:
        model = self.models[i]
        md = md_map[i]
        par_map = self.parameter_map[i]
        ip_grad = model.model_grad[1]
        for md_idx in md:
            ip_grad = dset.metadata[md_idx].apply_grad(ip_grad)
        _proj_grad = _project_vectorized(ip_grad, x, y, model.xyz)
        for md_idx in md:
            _proj_grad = dset.metadata[md_idx].apply_grad_proj(_proj_grad)
        proj_grad = proj_grad.at[jnp.array(par_map)].add(_proj_grad)
    return proj_grad

model_grid(dataset_ind)

Get the model for a dataset on the computed grid. This currently assumes that all models have the same grid. This will not apply any metadata (ie. beam convolution).

Parameters:

Name Type Description Default
dataset_ind int

The index of the dataset in self.datasets to use.

required

Returns:

Name Type Description
model_grid Array

The model on the computed grid.

Source code in witch/containers/metamodel.py
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def model_grid(self, dataset_ind: int) -> jax.Array:
    """
    Get the model for a dataset on the computed grid.
    This currently assumes that all models have the same grid.
    This will not apply any metadata (ie. beam convolution).

    Parameters
    ----------
    dataset_ind : int
        The index of the dataset in `self.datasets` to use.

    Returns
    -------
    model_grid : jax.Array
        The model on the computed grid.
    """
    m_map = self.model_map[dataset_ind]
    proj = jnp.zeros_like(self.models[m_map[0]].model)
    for i in m_map:
        model = self.models[i]
        ip = model.model
        proj = proj.at[:].add(ip)
    return proj

model_proj(dataset_ind, datavec_ind)

Project the models held in the metamodel to some data in a dataset.

Parameters:

Name Type Description Default
dataset_ind int

The index of the dataset in self.datasets to use.

required
datavec_ind int

The index of the data in self.datasets[dataset_ind].datavec to use.

required

Returns:

Name Type Description
model_proj Array

The metamodel projected into an array that matches the shape of self.datasets[dataset_ind].datavec[datavec_ind].

Source code in witch/containers/metamodel.py
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def model_proj(self, dataset_ind: int, datavec_ind: int) -> jax.Array:
    """
    Project the models held in the metamodel to some data in a dataset.

    Parameters
    ----------
    dataset_ind : int
        The index of the dataset in `self.datasets` to use.
    datavec_ind : int
        The index of the data in `self.datasets[dataset_ind].datavec` to use.

    Returns
    -------
    model_proj : jax.Array
        The metamodel projected into an array that matches the shape of
        `self.datasets[dataset_ind].datavec[datavec_ind]`.
    """
    dset = self.datasets[dataset_ind]
    m_map = self.model_map[dataset_ind]
    md_map = self.metadata_map[dataset_ind]
    data = dset.datavec[datavec_ind]
    if dset.mode == "tod":
        x = data.x
        y = data.y
    else:
        x, y = data.xy
    x = x * wu.rad_to_arcsec
    y = y * wu.rad_to_arcsec
    proj = jnp.zeros_like(x)
    for i in m_map:
        model = self.models[i]
        md = md_map[i]
        ip = model.model
        for md_idx in md:
            ip = dset.metadata[md_idx].apply(ip)
        _proj = _project(ip, x, y, model.xyz)
        for md_idx in md:
            _proj = dset.metadata[md_idx].apply_proj(_proj)
        proj = proj.at[:].add(_proj)
    return proj

remove_structs(cfg)

Create a new metamodel with marked structures removed.

Parameters:

Name Type Description Default
cfg dict

The config loaded into a dict.

required

Returns:

Name Type Description
metamodel MetaModel

The metamodel described with structures removed.

Source code in witch/containers/metamodel.py
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def remove_structs(self, cfg):
    """
    Create a new metamodel with marked structures removed.

    Parameters
    ----------
    cfg : dict
        The config loaded into a dict.

    Returns
    -------
    metamodel : MetaModel
        The metamodel described with structures removed.
    """
    new_metamodel = self.__class__.from_config(
        self.global_comm, cfg, self.datasets, True
    )
    new_metamodel = new_metamodel.update(self.parameters, self.errors, self.chisq)
    return new_metamodel

save(path, state={})

Serialize the model to a file with dill.

Parameters:

Name Type Description Default
path str

The file to save to. Does not check to see if the path is valid.

required
state dict

Dictionary of metadata to understand the state when we are saving.

{}
Source code in witch/containers/metamodel.py
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def save(self, path: str, state: dict = {}):
    """
    Serialize the model to a file with dill.

    Parameters
    ----------
    path : str
        The file to save to.
        Does not check to see if the path is valid.
    state : dict
        Dictionary of metadata to understand the state when we are saving.
    """
    datavecs = []
    comms = []
    gcomm = self.global_comm
    for dataset in self.datasets:
        datavecs += [dataset.datavec]
        comms += [dataset.global_comm]
        dataset.datavec = None
        dataset.global_comm = wu.NullComm()
    self.global_comm = wu.NullComm()
    with open(path, "wb") as f:
        dill.dump((self, state), f)
    for dataset, datavec, comm in zip(self.datasets, datavecs, comms):
        dataset.datavec = datavec
        dataset.global_comm = comm
    self.global_comm = gcomm

set_round(new_round)

Set the round of the metamodel.

Parameters:

Name Type Description Default
new_round int

The number of the round to go to.

required

Returns:

Name Type Description
updated MetaModel

The updated metamodel with the round updated. While nominally the model will update in place, returning it alows us to use this function in JITed functions.

Source code in witch/containers/metamodel.py
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def set_round(self, new_round: int) -> Self:
    """
    Set the round of the metamodel.

    Parameters
    ----------
    new_round : int
        The number of the round to go to.

    Returns
    -------
    updated : MetaModel
        The updated metamodel with the round updated.
        While nominally the model will update in place, returning it
        alows us to use this function in JITed functions.
    """
    if new_round > self.n_rounds or new_round < 0:
        raise ValueError("Trying to set a round that doesn't exist!")
    self.__dict__.pop("cur_round", None)
    self.__dict__.pop("to_fit", None)
    for model in self.models:
        model.cur_round = new_round

    return self

update(vals, errs, chisq)

Update the parameter values and errors as well as the model chi-squared for all models in the metamodel.

Parameters:

Name Type Description Default
vals Array

The new parameter values. Should be in the same order as pars.

required
errs Array

The new parameter errors. Should be in the same order as pars.

required
chisq Array

The new chi-squared. Should be a scalar float array.

required

Returns:

Name Type Description
updated MetaModel

The updated metamodel. While nominally the metamodel will update in place, returning it alows us to use this function in JITed functions.

Source code in witch/containers/metamodel.py
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def update(self, vals: jax.Array, errs: jax.Array, chisq: jax.Array) -> Self:
    """
    Update the parameter values and errors as well as the model chi-squared
    for all models in the metamodel.

    Parameters
    ----------
    vals : jax.Array
        The new parameter values.
        Should be in the same order as `pars`.
    errs : jax.Array
        The new parameter errors.
        Should be in the same order as `pars`.
    chisq : jax.Array
        The new chi-squared.
        Should be a scalar float array.

    Returns
    -------
    updated : MetaModel
        The updated metamodel.
        While nominally the metamodel will update in place, returning it
        alows us to use this function in JITed functions.
    """
    self.parameters = vals
    self.errors = errs
    self.chisq = chisq
    self.models = tuple(
        deepcopy(model).update(
            vals[jnp.array(par_map)], errs[jnp.array(par_map)], chisq
        )
        for model, par_map in zip(self.models, self.parameter_map)
    )

    return copy(self)