Source code for models.geodetic

import copy
import os
from collections import OrderedDict
from logging import getLogger
from time import time

import numpy as num
import pytensor.tensor as tt
from pymc import Deterministic
from pyrocko.gf import LocalEngine
from pytensor import config as tconfig
from pytensor import shared

from beat import config as bconfig
from beat import covariance as cov
from beat import heart, pytensorf, utility
from beat.ffi import get_gf_prefix, load_gf_library
from beat.models.base import (
    Composite,
    ConfigInconsistentError,
    FaultGeometryNotFoundError,
    get_hypervalue_from_point,
    init_uniform_random,
)
from beat.models.distributions import multivariate_normal_chol

logger = getLogger("geodetic")


km = 1000.0


__all__ = [
    "GeodeticBEMComposite",
    "GeodeticGeometryComposite",
    "GeodeticDistributerComposite",
]


class GeodeticComposite(Composite):
    """
    Comprises data structure of the geodetic composite.

    Parameters
    ----------
    gc : :class:`config.GeodeticConfig`
        configuration object containing seismic setup parameters
    project_dir : str
        directory of the model project, where to find the data
    events : list
        of :class:`pyrocko.model.Event`
        contains information of reference event(s), coordinates of reference
        point(s) and source time(s)
    hypers : boolean
        if true initialise object for hyper parameter optimization
    """

    _hierarchicalnames = None
    weights = None

    def __init__(self, gc, project_dir, events, hypers=False):
        super(GeodeticComposite, self).__init__(events)

        logger.debug("Setting up geodetic structure ...\n")
        self.name = "geodetic"
        self._like_name = "geo_like"

        geodetic_data_path = os.path.join(project_dir, bconfig.geodetic_data_name)

        self.datasets = utility.load_objects(geodetic_data_path)
        logger.info("Number of geodetic datasets: %i " % self.n_t)

        # initialise local coordinate system and corrections
        if gc.corrections_config.has_enabled_corrections:
            correction_configs = gc.corrections_config.iter_corrections()
            logger.info("Initialising corrections ...")
            for data in self.datasets:
                data.setup_corrections(
                    event=self.event, correction_configs=correction_configs
                )
        else:
            for data in self.datasets:
                data.update_local_coords(self.event)

        # init geodetic targets
        self.targets = heart.init_geodetic_targets(
            datasets=self.datasets,
            event=self.event,
            earth_model_name=gc.gf_config.earth_model_name,
            interpolation=gc.interpolation,
            crust_inds=[gc.gf_config.reference_model_idx],
            sample_rate=gc.gf_config.sample_rate,
        )

        # merge geodetic data to calculate residuals on single array
        datasets, los_vectors, odws, self.Bij = heart.concatenate_datasets(
            self.datasets
        )
        logger.info("Number of geodetic data points: %i " % self.Bij.ordering.size)

        self.sdata = shared(datasets, name="geodetic_data", borrow=True)
        self.slos_vectors = shared(los_vectors, name="los_vecs", borrow=True)
        self.sodws = shared(odws, name="odws", borrow=True)

        self.noise_analyser = cov.GeodeticNoiseAnalyser(
            config=gc.noise_estimator, events=self.events
        )

        self.config = gc

        if hypers:
            self._llks = []
            self._llks.extend(
                shared(num.array([1.0]), name="geo_llk_%i" % t, borrow=True)
                for t in range(self.n_t)
            )

    def init_weights(self):
        self.weights = []
        for i, data in enumerate(self.datasets):
            if int(data.covariance.data.sum()) == data.ncoords:
                logger.warning(
                    "Data covariance is identity matrix! Please double check!!!"
                )

            choli = data.covariance.chol_inverse
            self.weights.append(shared(choli, name="geo_weight_%i" % i, borrow=True))
            data.covariance.update_slog_pdet()

    @property
    def n_t(self):
        return len(self.datasets)

    def get_all_dataset_names(self, hp_name):
        """
        Return unique GNSS stations and radar acquisitions.
        """
        names = []
        for dataset in self.datasets:
            if dataset.typ == hp_name.split("_")[1]:
                if isinstance(dataset, heart.DiffIFG):
                    names.append(dataset.name)
                elif isinstance(dataset, heart.GNSSCompoundComponent):
                    names.append(dataset.component)
                else:
                    TypeError(
                        'Geodetic Dataset of class "%s" not '
                        "supported" % dataset.__class__.__name__
                    )

        return names

    def analyse_noise(self, tpoint=None):
        """
        Analyse geodetic noise in datasets and set
        data-covariance matrixes accordingly.
        """
        if self.config.noise_estimator.structure == "non-toeplitz":
            results = self.assemble_results(tpoint)
        else:
            results = [None] * len(self.datasets)

        if len(self.datasets) != len(results):
            raise ValueError("Number of datasets and results need to be equal!")

        for dataset, result in zip(self.datasets, results):
            logger.info(
                'Retrieving geodetic data-covariances with structure "%s" '
                "for %s ..." % (self.config.noise_estimator.structure, dataset.name)
            )

            cov_d_geodetic = self.noise_analyser.get_data_covariance(
                dataset, result=result
            )

            if dataset.covariance is None:
                dataset.covariance = heart.Covariance(data=cov_d_geodetic)
            else:
                dataset.covariance.data = cov_d_geodetic

            if int(dataset.covariance.data.sum()) == dataset.ncoords:
                logger.warning(
                    "Data covariance is identity matrix! Please double check!!!"
                )

    def get_hypersize(self, hp_name=""):
        """
        Return size of the hyperparameter

        Parameters
        ----------
        hp_name: str
            of hyperparameter name

        Returns
        -------
        int
        """
        n_datasets = len(self.get_all_dataset_names(hp_name))
        if n_datasets == 0:
            raise ConfigInconsistentError(
                'Found no data for hyperparameter "%s". Please either load'
                " the data or remove it from types dictionary!" % hp_name,
                params="hypers",
            )
        elif self.config.dataset_specific_residual_noise_estimation:
            return n_datasets
        else:
            return 1

    def assemble_results(self, point, **kwargs):
        """
        Assemble geodetic data for given point in solution space.

        Parameters
        ----------
        point : :func:`pymc.Point`
            Dictionary with model parameters

        Returns
        -------
        List with :class:`heart.GeodeticResult`
        """

        logger.debug("Assembling geodetic data ...")

        processed_synts = self.get_synthetics(point)

        results = []
        for i, data in enumerate(self.datasets):
            res = data.displacement - processed_synts[i]

            results.append(
                heart.GeodeticResult(
                    point=point,
                    processed_obs=data.displacement,
                    processed_syn=processed_synts[i],
                    processed_res=res,
                )
            )

        return results

    def export(
        self,
        point,
        results_path,
        stage_number,
        fix_output=False,
        force=False,
        update=False,
    ):
        from kite.scene import Scene, UserIOWarning
        from pyrocko.guts import dump

        from beat.plotting import map_displacement_grid

        def save_covs(datasets, cov_mat="pred_v"):
            """
            Save covariance matrixes of given attribute
            """

            covs = {
                dataset.name: getattr(dataset.covariance, cov_mat)
                for dataset in datasets
            }

            outname = os.path.join(results_path, f"geodetic_C_{cov_mat}")
            logger.info('"geodetic covariances" to: %s', outname)
            num.savez(outname, **covs)

        gc = self.config

        results = self.assemble_results(point)

        def get_filename(attr, ending="csv"):
            return os.path.join(
                results_path,
                "{}_{}_{}.{}".format(
                    os.path.splitext(dataset.name)[0], attr, stage_number, ending
                ),
            )

        # export for gnss
        for typ, config in gc.types.items():
            if "GNSS" == typ:
                from pyrocko.model import gnss

                logger.info("Exporting GNSS data ...")
                campaigns = config.load_data(campaign=True)

                for campaign in campaigns:
                    model_camp = gnss.GNSSCampaign(
                        stations=copy.deepcopy(campaign.stations),
                        name=f"{campaign.name}_model",
                    )

                    dataset_to_result = {}
                    for dataset, result in zip(self.datasets, results):
                        if dataset.typ == "GNSS":
                            dataset_to_result[dataset] = result

                    for dataset, result in dataset_to_result.items():
                        for ista, sta in enumerate(model_camp.stations):
                            comp = getattr(sta, dataset.component)
                            comp.shift = result.processed_syn[ista]
                            comp.sigma = 0.0

                    outname = os.path.join(
                        results_path, "gnss_synths_%i.yaml" % stage_number
                    )

                    dump(model_camp, filename=outname)

            elif "SAR" == typ:
                logger.info("Exporting SAR data ...")
                for dataset, result in zip(self.datasets, results):
                    if dataset.typ == "SAR":
                        try:
                            scene_path = os.path.join(config.datadir, dataset.name)
                            logger.info(
                                f"Loading full resolution kite scene: {scene_path}"
                            )
                            scene = Scene.load(scene_path)
                        except UserIOWarning:
                            logger.warning(
                                "Full resolution data could not be"
                                " loaded! Skipping ..."
                            )
                            continue

                        for attr in ["processed_obs", "processed_syn", "processed_res"]:
                            filename = get_filename(attr, ending="csv")
                            displacements = getattr(result, attr)
                            dataset.export_to_csv(filename, displacements)
                            logger.info(f"Stored CSV file to: {filename}")

                            filename = get_filename(attr, ending="yml")
                            vals = map_displacement_grid(displacements, scene)
                            scene.displacement = vals
                            scene.save(filename)
                            logger.info(f"Stored kite scene to: {filename}")

        # export stdz residuals
        self.analyse_noise(point)
        if update:
            logger.info("Saving velocity model covariance matrixes...")
            self.update_weights(point)
            save_covs(self.datasets, "pred_v")

        logger.info("Saving data covariance matrixes...")
        save_covs(self.datasets, "data")

    def init_hierarchicals(self, problem_config):
        """
        Initialize hierarchical parameters.
        Ramp estimation in azimuth and range direction of a radar scene and/or
        Rotation of GNSS stations around an Euler pole
        """
        self._hierarchicalnames = []
        hierarchicals = problem_config.hierarchicals
        for number, corr in enumerate(
            self.config.corrections_config.iter_corrections()
        ):
            logger.info(
                f"Evaluating config for {corr.feature} corrections for datasets..."
            )
            if corr.enabled:
                for data in self.datasets:
                    if data.name in corr.dataset_names:
                        hierarchical_names = corr.get_hierarchical_names(
                            name=data.name, number=number
                        )
                    else:
                        hierarchical_names = []

                    for hierarchical_name in hierarchical_names:
                        if not corr.enabled and hierarchical_name in hierarchicals:
                            raise ConfigInconsistentError(
                                f"{corr.feature} {data.name} disabled, but they are defined in the problem configuration (hierarchicals)!"
                            )

                        if (
                            corr.enabled
                            and hierarchical_name not in hierarchicals
                            and data.name in corr.dataset_names
                        ):
                            raise ConfigInconsistentError(
                                f"{corr.feature} {data.name} corrections enabled, but they are not defined in the problem configuration! (hierarchicals)"
                            )

                        if hierarchical_name not in self.hierarchicals:
                            param = hierarchicals[hierarchical_name]
                            if not num.array_equal(param.lower, param.upper):
                                kwargs = dict(
                                    name=param.name,
                                    shape=param.dimension,
                                    lower=param.lower,
                                    upper=param.upper,
                                    initval=param.testvalue,
                                    transform=None,
                                    dtype=tconfig.floatX,
                                )

                                self.hierarchicals[
                                    hierarchical_name
                                ] = init_uniform_random(kwargs)

                                self._hierarchicalnames.append(hierarchical_name)
                            else:
                                logger.info(
                                    f"not solving for {param.name}, got fixed at {utility.list2string(param.lower.flatten())}"
                                )
                                self.hierarchicals[hierarchical_name] = param.lower
            else:
                logger.info(f"No {corr.feature} correction!")

        logger.info("Initialized %i hierarchical parameters." % len(self.hierarchicals))

    def apply_corrections(self, residuals, point=None, operation="-"):
        """
        Apply all the configured correction terms e.g. SAR orbital ramps,
        GNSS Euler pole rotations etc...
        """
        for i, dataset in enumerate(self.datasets):
            if dataset.has_correction:
                for corr in dataset.corrections:
                    correction = corr.get_displacements(self.hierarchicals, point=point)
                    # correction = Print('corr')(correction)

                    if operation == "-":
                        residuals[i] -= correction  # needs explicit assignment!
                    elif operation == "+":
                        residuals[i] += correction

        return residuals

    def update_llks(self, point):
        """
        Update posterior likelihoods (in place) of the composite w.r.t.
        one point in the solution space.

        Parameters
        ----------
        point : dict
            with numpy array-like items and variable name keys
        """
        results = self.assemble_results(point)
        for i_l, result in enumerate(results):
            choli = self.datasets[i_l].covariance.chol_inverse
            tmp = choli.dot(result.processed_res)
            _llk = num.asarray([num.dot(tmp, tmp)])
            self._llks[i_l].set_value(_llk)

    def get_variance_reductions(self, point, results=None, weights=None):
        """
        Parameters
        ----------
        point : dict
            with parameters to point in solution space to calculate
            variance reductions

        Returns
        -------
        dict of floats,
            keys are nslc_ids
        """
        if results is None:
            results = self.assemble_results(point)

        ndatasets = len(self.datasets)

        assert len(results) == ndatasets

        if weights is None:
            self.analyse_noise(point)
            self.update_weights(point)
            weights = self.weights

        nweights = len(weights)
        assert nweights == ndatasets

        logger.debug("n weights %i , n datasets %i" % (nweights, ndatasets))

        assert nweights == ndatasets

        logger.debug("Calculating variance reduction for solution ...")

        counter = utility.Counter()
        hp_specific = self.config.dataset_specific_residual_noise_estimation

        var_reds = OrderedDict()
        for dataset, weight, result in zip(self.datasets, weights, results):
            hp = get_hypervalue_from_point(
                point, dataset, counter, hp_specific=hp_specific
            )
            icov = dataset.covariance.inverse(num.exp(hp * 2.0))

            data = result.processed_obs
            residual = result.processed_res

            nom = residual.T.dot(icov).dot(residual)
            denom = data.T.dot(icov).dot(data)

            logger.debug("nom %f, denom %f" % (float(nom), float(denom)))
            var_red = 1 - (nom / denom)

            logger.debug("Variance reduction for %s is %f" % (dataset.name, var_red))

            if 0:
                from matplotlib import pyplot as plt

                fig, ax = plt.subplots(1, 1)
                im = ax.imshow(dataset.covariance.data)
                plt.colorbar(im)
                plt.show()

            var_reds[dataset.name] = var_red

        return var_reds

    def get_standardized_residuals(self, point, results=None, weights=None):
        """
        Parameters
        ----------
        point : dict
            with parameters to point in solution space to calculate
            standardized residuals

        Returns
        -------
        dict of arrays of standardized residuals,
            keys are nslc_ids
        """
        if results is None:
            results = self.assemble_results(point)

        if weights is None:
            self.update_weights(point)

        counter = utility.Counter()
        hp_specific = self.config.dataset_specific_residual_noise_estimation

        stdz_residuals = OrderedDict()
        for dataset, result in zip(self.datasets, results):
            hp = get_hypervalue_from_point(
                point, dataset, counter, hp_specific=hp_specific
            )
            choli = num.linalg.inv(dataset.covariance.chol(num.exp(hp * 2.0)))
            stdz_residuals[dataset.name] = choli.dot(result.processed_res)

        return stdz_residuals


class GeodeticSourceComposite(GeodeticComposite):
    """
    Comprises how to solve the non-linear geodetic forward model.

    Parameters
    ----------
    gc : :class:`config.GeodeticConfig`
        configuration object containing seismic setup parameters
    project_dir : str
        directory of the model project, where to find the data
    sources : list
        of :class:`pyrocko.gf.seismosizer.Source`
    mapping : list
        of dict of varnames and their sizes
    events : list
        of :class:`pyrocko.model.Event`
        contains information of reference event, coordinates of reference
        point and source time
    hypers : boolean
        if true initialise object for hyper parameter optimization
    """

    def __init__(self, gc, project_dir, sources, mapping, events, hypers=False):
        super(GeodeticSourceComposite, self).__init__(
            gc, project_dir, events, hypers=hypers
        )

        if isinstance(gc.gf_config, bconfig.GeodeticGFConfig):
            self.engine = LocalEngine(store_superdirs=[gc.gf_config.store_superdir])
        elif isinstance(gc.gf_config, bconfig.BEMConfig):
            from beat.bem import BEMEngine

            self.engine = BEMEngine(gc.gf_config)

        self.sources = sources
        self.mapping = mapping

    @property
    def n_sources_total(self):
        return len(self.sources)

    def point2sources(self, point):
        """
        Updates the composite source(s) (in place) with the point values.
        """
        tpoint = copy.deepcopy(point)
        tpoint.update(self.fixed_rvs)
        tpoint = utility.adjust_point_units(tpoint)

        source_points = utility.split_point(
            tpoint,
            mapping=self.mapping,
            weed_params=True,
        )
        for i, source in enumerate(self.sources):
            utility.update_source(source, **source_points[i])
            # reset source time may result in store error otherwise
            source.time = 0.0

    def get_formula(self, input_rvs, fixed_rvs, hyperparams, problem_config):
        """
        Get geodetic likelihood formula for the model built. Has to be called
        within a with model context.
        Part of the pymc model.

        Parameters
        ----------
        input_rvs : dict
            of :class:`pymc.distribution.Distribution`
        fixed_rvs : dict
            of :class:`numpy.array`
        hyperparams : dict
            of :class:`pymc.distribution.Distribution`
        problem_config : :class:`config.ProblemConfig`

        Returns
        -------
        posterior_llk : :class:`pytensor.tensor.Tensor`
        """
        hp_specific = self.config.dataset_specific_residual_noise_estimation
        tpoint = problem_config.get_test_point()

        self.input_rvs = input_rvs
        self.fixed_rvs = fixed_rvs

        logger.info(
            "Geodetic optimization on: \n " "%s" % ", ".join(self.input_rvs.keys())
        )

        self.input_rvs.update(fixed_rvs)

        t0 = time()
        disp = self.get_synths(self.input_rvs)
        t1 = time()
        logger.debug("Geodetic forward model on test model takes: %f" % (t1 - t0))

        los_disp = (disp * self.slos_vectors).sum(axis=1)

        residuals = self.Bij.srmap(
            tt.cast((self.sdata - los_disp) * self.sodws, tconfig.floatX)
        )

        self.analyse_noise(tpoint)
        self.init_weights()
        if self.config.corrections_config.has_enabled_corrections:
            logger.info("Applying corrections! ...")
            residuals = self.apply_corrections(residuals, operation="-")

        logpts = multivariate_normal_chol(
            self.datasets, self.weights, hyperparams, residuals, hp_specific=hp_specific
        )

        llk = Deterministic(self._like_name, logpts)
        return llk.sum()

    def get_pyrocko_events(self, point=None):
        """
        Transform sources to pyrocko events.

        Returns
        -------
        events : list
            of :class:`pyrocko.model.Event`
        """

        if point is not None:
            self.point2sources(point)

        target = self.targets[0]
        store = self.engine.get_store(target.store_id)
        return [
            source.pyrocko_event(store=store, target=target) for source in self.sources
        ]


[docs] class GeodeticGeometryComposite(GeodeticSourceComposite): def __init__(self, gc, project_dir, sources, mapping, events, hypers=False): super(GeodeticGeometryComposite, self).__init__( gc, project_dir, sources, mapping, events, hypers=hypers ) logger.info("Initialising geometry geodetic composite ...") if not hypers: # synthetics generation logger.debug("Initialising synthetics functions ... \n") self.get_synths = pytensorf.GeoSynthesizer( engine=self.engine, sources=self.sources, targets=self.targets, mapping=mapping, ) def __getstate__(self): self.engine.close_cashed_stores() return self.__dict__.copy()
[docs] def get_synthetics(self, point): """ Get synthetics for given point in solution space. Parameters ---------- point : :func:`pymc.Point` Dictionary with model parameters Returns ------- list with :class:`numpy.ndarray` synthetics for each target """ self.point2sources(point) displacements = heart.geo_synthetics( engine=self.engine, targets=self.targets, sources=self.sources, outmode="stacked_arrays", ) synths = [] for disp, data in zip(displacements, self.datasets): los_d = (disp * data.los_vector).sum(axis=1) synths.append(los_d) if self.config.corrections_config.has_enabled_corrections: synths = self.apply_corrections(synths, point=point, operation="+") return synths
[docs] def update_weights(self, point, n_jobs=1, plot=False): """ Updates weighting matrixes (in place) with respect to the point in the solution space. Parameters ---------- point : dict with numpy array-like items and variable name keys """ gc = self.config if not self.weights: self.init_weights() self.point2sources(point) # update data covariances in case model dependent non-toeplitz if self.config.noise_estimator.structure == "non-toeplitz": logger.info("Updating data-covariances ...") self.analyse_noise(point) crust_inds = range(*gc.gf_config.n_variations) thresh = 5 if len(crust_inds) > thresh: logger.info("Updating geodetic velocity model-covariances ...") if self.config.noise_estimator.structure == "non-toeplitz": logger.warning( "Non-toeplitz estimation in combination with model " "prediction covariances is still EXPERIMENTAL and results" " should be interpreted with care!!" ) for i, data in enumerate(self.datasets): crust_targets = heart.init_geodetic_targets( datasets=[data], event=self.event, earth_model_name=gc.gf_config.earth_model_name, interpolation=gc.interpolation, crust_inds=crust_inds, sample_rate=gc.gf_config.sample_rate, ) logger.debug(f"Track {data.name}") cov_pv = cov.geodetic_cov_velocity_models( engine=self.engine, sources=self.sources, targets=crust_targets, dataset=data, plot=plot, event=self.event, n_jobs=1, ) cov_pv = utility.ensure_cov_psd(cov_pv) data.covariance.pred_v = cov_pv else: logger.info( "Not updating geodetic velocity model-covariances because " "number of model variations is too low! < %i" % thresh ) # update shared weights from covariance matrices for i, data in enumerate(self.datasets): choli = data.covariance.chol_inverse self.weights[i].set_value(choli) data.covariance.update_slog_pdet()
[docs] class GeodeticBEMComposite(GeodeticSourceComposite): def __init__(self, gc, project_dir, sources, mapping, events, hypers=False): super(GeodeticBEMComposite, self).__init__( gc, project_dir, sources, mapping, events, hypers=hypers ) logger.info("Initialising BEM geodetic composite ...") if not hypers: # synthetics generation logger.debug("Initialising synthetics functions ... \n") self.get_synths = pytensorf.GeoSynthesizer( engine=self.engine, sources=self.sources, targets=self.targets, mapping=mapping, )
[docs] def get_synthetics(self, point): """ Get synthetics for given point in solution space. Parameters ---------- point : :func:`pymc.Point` Dictionary with model parameters kwargs especially to change output of the forward model Returns ------- list with :class:`numpy.ndarray` synthetics for each target """ self.point2sources(point) displacements = heart.geo_synthetics( engine=self.engine, targets=self.targets, sources=self.sources, outmode="arrays", ) synths = [] for disp, data in zip(displacements, self.datasets): los_d = (disp * data.los_vector).sum(axis=1) synths.append(los_d) if self.config.corrections_config.has_enabled_corrections: synths = self.apply_corrections(synths, point=point, operation="+") return synths
[docs] def update_weights(self, point, n_jobs=1, plot=False): """ Updates weighting matrixes (in place) with respect to the point in the solution space. Parameters ---------- point : dict with numpy array-like items and variable name keys """ gc = self.config if not self.weights: self.init_weights() self.point2sources(point) # update data covariances in case model dependent non-toeplitz if self.config.noise_estimator.structure == "non-toeplitz": logger.info("Updating data-covariances ...") self.analyse_noise(point) crust_inds = range(*gc.gf_config.n_variations) thresh = 5 if len(crust_inds) > thresh: raise NotImplementedError( "Needs updating for this composite to vary elastic parameters." ) logger.info("Updating geodetic velocity model-covariances ...") if self.config.noise_estimator.structure == "non-toeplitz": logger.warning( "Non-toeplitz estimation in combination with model " "prediction covariances is still EXPERIMENTAL and results" " should be interpreted with care!!" ) for i, data in enumerate(self.datasets): crust_targets = heart.init_geodetic_targets( datasets=[data], event=self.event, earth_model_name=gc.gf_config.earth_model_name, interpolation=gc.interpolation, crust_inds=crust_inds, sample_rate=gc.gf_config.sample_rate, ) logger.debug("Track %s" % data.name) cov_pv = cov.geodetic_cov_velocity_models( engine=self.engine, sources=self.sources, targets=crust_targets, dataset=data, plot=plot, event=self.event, n_jobs=1, ) cov_pv = utility.ensure_cov_psd(cov_pv) data.covariance.pred_v = cov_pv else: logger.info( "Not updating geodetic velocity model-covariances because " "number of model variations is too low! < %i" % thresh ) # update shared weights from covariance matrices for i, data in enumerate(self.datasets): choli = data.covariance.chol_inverse self.weights[i].set_value(choli) data.covariance.update_slog_pdet()
[docs] class GeodeticDistributerComposite(GeodeticComposite): """ Comprises how to solve the geodetic (static) linear forward model. Distributed slip """ def __init__(self, gc, project_dir, events, hypers=False): super(GeodeticDistributerComposite, self).__init__( gc, project_dir, events, hypers=hypers ) self.gfs = {} self.gf_names = {} self._mode = "ffi" self.gfpath = os.path.join(project_dir, self._mode, bconfig.linear_gf_dir_name) self.fault = None def get_gflibrary_key(self, crust_ind, wavename, component): return "%i_%s_%s" % (crust_ind, wavename, component)
[docs] def load_gfs(self, crust_inds=None, make_shared=True): """ Load Greens Function matrixes for each variable to be inverted for. Updates gfs and gf_names attributes. Parameters ---------- crust_inds : list of int to indexes of Green's Functions make_shared : bool if True transforms gfs to :class:`pytensor.shared` variables """ if crust_inds is None: crust_inds = range(*self.config.gf_config.n_variations) if not isinstance(crust_inds, list): raise TypeError("crust_inds need to be a list!") for crust_ind in crust_inds: gfs = {} for var in self.slip_varnames: gflib_name = get_gf_prefix( datatype=self.name, component=var, wavename="static", crust_ind=crust_ind, ) gfpath = os.path.join(self.gfpath, gflib_name) gfs = load_gf_library(directory=self.gfpath, filename=gflib_name) if make_shared: gfs.init_optimization() key = self.get_gflibrary_key( crust_ind=crust_ind, wavename="static", component=var ) self.gf_names[key] = gfpath self.gfs[key] = gfs
[docs] def load_fault_geometry(self): """ Load fault-geometry, i.e. discretized patches. Returns ------- :class:`heart.FaultGeometry` """ try: return utility.load_objects( os.path.join(self.gfpath, bconfig.fault_geometry_name) )[0] except Exception: raise FaultGeometryNotFoundError()
[docs] def point2sources(self, point): """ Returns the fault source patche(s) with the point values updated. Parameters ---------- point : dict with random variables from solution space """ tpoint = copy.deepcopy(point) # tpoint.update(self.fixed_rvs) if vars are fixed GFS are not calculated if self.nevents == 1: events = [self.event] # single event else: events = self.events # multi event if self.fault is None: self.fault = self.load_fault_geometry() return self.fault.point2sources(tpoint, events=events)
[docs] def get_formula(self, input_rvs, fixed_rvs, hyperparams, problem_config): """ Formulation of the distribution problem for the model built. Has to be called within a with-model-context. Parameters ---------- input_rvs : list of :class:`pymc.distribution.Distribution` hyperparams : dict of :class:`pymc.distribution.Distribution` Returns ------- llk : :class:`pytensor.tensor.Tensor` log-likelihood for the distributed slip """ logger.info(f"Loading {self.name} Green's Functions") self.load_gfs( crust_inds=[self.config.gf_config.reference_model_idx], make_shared=False ) tpoint = problem_config.get_test_point() self.analyse_noise(tpoint) for gfs in self.gfs.values(): gfs.init_optimization() self.init_weights() hp_specific = self.config.dataset_specific_residual_noise_estimation self.input_rvs = input_rvs self.fixed_rvs = fixed_rvs ref_idx = self.config.gf_config.reference_model_idx mu = tt.zeros((self.Bij.ordering.size), tconfig.floatX) for var in self.slip_varnames: key = self.get_gflibrary_key( crust_ind=ref_idx, wavename="static", component=var ) mu += self.gfs[key].stack_all(slips=input_rvs[var]) residuals = self.Bij.srmap( tt.cast((self.sdata - mu) * self.sodws, tconfig.floatX) ) if self.config.corrections_config.has_enabled_corrections: residuals = self.apply_corrections(residuals) logpts = multivariate_normal_chol( self.datasets, self.weights, hyperparams, residuals, hp_specific=hp_specific ) llk = Deterministic(self._like_name, logpts) return llk.sum()
[docs] def get_synthetics(self, point): """ Get synthetics for given point in solution space. Parameters ---------- point : :func:`pymc.Point` Dictionary with model parameters kwargs especially to change output of the forward model Returns ------- list with :class:`numpy.ndarray` synthetics for each target """ ref_idx = self.config.gf_config.reference_model_idx if len(self.gfs) == 0: self.load_gfs(crust_inds=[ref_idx], make_shared=False) for gfs in self.gfs.values(): gfs.set_stack_mode("numpy") tpoint = copy.deepcopy(point) hps = self.config.get_hypernames() for hyper in hps: if hyper in tpoint: tpoint.pop(hyper) mu = num.zeros((self.Bij.ordering.size)) for var in self.slip_varnames: key = self.get_gflibrary_key( crust_ind=ref_idx, wavename="static", component=var ) mu += self.gfs[key].stack_all(slips=point[var]) synths = self.Bij.a2l(mu) if self.config.corrections_config.has_enabled_corrections: synths = self.apply_corrections(synths, point=point, operation="+") return synths
[docs] def update_weights(self, point, n_jobs=1, plot=False): """ Updates weighting matrixes (in place) with respect to the point in the solution space. Parameters ---------- point : dict with numpy array-like items and variable name keys """ gc = self.config if not self.weights: self.init_weights() # update data covariances in case model dependent non-toeplitz if self.config.noise_estimator.structure == "non-toeplitz": logger.info("Updating data-covariances ...") self.analyse_noise(point) crust_inds = range(*gc.gf_config.n_variations) thresh = 5 if len(crust_inds) > thresh: logger.info("Updating geodetic velocity model-covariances ...") if self.config.noise_estimator.structure == "non-toeplitz": logger.warning( "Non-toeplitz estimation in combination with model " "prediction covariances is still EXPERIMENTAL and results" " should be interpreted with care!!" ) crust_inds = list(range(*self.config.gf_config.n_variations)) n_variations = len(crust_inds) if len(self.gfs) != n_variations: logger.info("Loading geodetic linear GF matrixes ...") self.load_gfs(crust_inds=crust_inds, make_shared=False) crust_displacements = num.zeros((n_variations, self.Bij.ordering.size)) for i, crust_ind in enumerate(crust_inds): mu = num.zeros((self.Bij.ordering.size)) for var in self.slip_varnames: key = self.get_gflibrary_key( crust_ind=crust_ind, wavename="static", component=var ) mu += self.gfs[key].stack_all(slips=point[var]) crust_displacements[i, :] = mu crust_synths = self.Bij.a_nd2l(crust_displacements) if len(crust_synths) != self.n_t: raise ValueError( "Number of datasets %i and number of synthetics %i " "inconsistent!" % (self.n_t, len(crust_synths)) ) for i, data in enumerate(self.datasets): logger.debug("Track %s" % data.name) cov_pv = num.cov(crust_synths[i], rowvar=0) cov_pv = utility.ensure_cov_psd(cov_pv) data.covariance.pred_v = cov_pv else: logger.info( "Not updating geodetic velocity model-covariances because " "number of model variations is too low! < %i" % thresh ) # update shared weights from covariance matrices for i, data in enumerate(self.datasets): choli = data.covariance.chol_inverse self.weights[i].set_value(choli) data.covariance.update_slog_pdet()