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#!/usr/bin/env python |
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# -*- coding: utf-8 -*- |
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""" |
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A regularized (compressed sensing) version of The Cannon. |
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""" |
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from __future__ import (division, print_function, absolute_import, |
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unicode_literals) |
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__all__ = ["RegularizedCannonModel"] |
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import logging |
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import numpy as np |
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import scipy.optimize as op |
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from . import (cannon, model, utils) |
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logger = logging.getLogger(__name__) |
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class RegularizedCannonModel(cannon.CannonModel): |
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""" |
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A L1-regularized edition of The Cannon model for the estimation of arbitrary |
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stellar labels. |
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:param labels: |
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A table with columns as labels, and stars as rows. |
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:type labels: |
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:class:`~astropy.table.Table` or numpy structured array |
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:param fluxes: |
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An array of fluxes for stars in the training set, given as shape |
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`(num_stars, num_pixels)`. The `num_stars` should match the number of |
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rows in `labels`. |
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:type fluxes: |
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:class:`np.ndarray` |
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:param flux_uncertainties: |
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An array of 1-sigma flux uncertainties for stars in the training set, |
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The shape of the `flux_uncertainties` should match `fluxes`. |
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:type flux_uncertainties: |
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:class:`np.ndarray` |
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:param dispersion: [optional] |
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The dispersion values corresponding to the given pixels. If provided, |
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this should have length `num_pixels`. |
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:param live_dangerously: [optional] |
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If enabled then no checks will be made on the label names, prohibiting |
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the user to input human-readable forms of the label vector. |
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""" |
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_descriptive_attributes = ["_label_vector", "_regularization"] |
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def __init__(self, *args, **kwargs): |
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super(RegularizedCannonModel, self).__init__(*args, **kwargs) |
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@property |
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def regularization(self): |
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return self._regularization |
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@regularization.setter |
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def regularization(self, regularization): |
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if regularization is None: |
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self._regularization = None |
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return None |
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# Can be positive float, or positive values for all pixels. |
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try: |
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regularization = float(regularization) |
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except (TypeError, ValueError): |
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regularization = np.array(regularization).flatten() |
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if regularization.size != len(self.dispersion): |
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raise ValueError("regularization must be a positive value or " |
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"an array of positive values for each pixel " |
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"({0} != {1})".format( |
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regularization.size, |
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len(self.dispersion))) |
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if any(0 > regularization) \ |
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or not np.all(np.isfinite(regularization)): |
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raise ValueError("regularization terms must be " |
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"positive and finite") |
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else: |
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if 0 > regularization or not np.isfinite(regularization): |
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raise ValueError("regularization term must be " |
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"positive and finite") |
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regularization = np.ones_like(self.dispersion) * regularization |
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self._regularization = regularization |
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return None |
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# windows to specify zero coefficients for a given label (or terms comprising) |
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# that label. |
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@model.requires_model_description |
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def train(self, **kwargs): |
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""" |
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Train the model based on the training set and the description of the |
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label vector, and enforce regularization. |
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""" |
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# Initialise the scatter and coefficient arrays. |
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N_pixels = len(self.dispersion) |
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scatter = np.nan * np.ones(N_pixels) |
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label_vector_array = self.label_vector_array |
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theta = np.nan * np.ones((N_pixels, label_vector_array.shape[0])) |
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# Details for the progressbar. |
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pb_kwds = { |
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"message": "Training regularized Cannon model from {0} stars with "\ |
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"{1} pixels each".format( |
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len(self.training_labels), N_pixels), |
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"size": 100 if kwargs.pop("progressbar", True) else -1 |
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} |
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if self.pool is None: |
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for pixel in utils.progressbar(range(N_pixels), **pb_kwds): |
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theta[pixel, :], scatter[pixel] = _fit_pixel( |
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self.training_fluxes[:, pixel], |
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self.training_flux_uncertainties[:, pixel], |
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label_vector_array, self.regularization[pixel], |
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**kwargs) |
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else: |
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# Not as nice as just mapping, but necessary for a progress bar. |
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process = { pixel: self.pool.apply_async(_fit_pixel, args=( |
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self.training_fluxes[:, pixel], |
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self.training_flux_uncertainties[:, pixel], |
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label_vector_array, self.regularization[pixel] |
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), kwds=kwargs) \ |
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for pixel in range(N_pixels) } |
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for pixel, proc in utils.progressbar(process.items(), **pb_kwds): |
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theta[pixel, :], scatter[pixel] = proc.get() |
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self.coefficients, self.scatter = (theta, scatter) |
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self._trained = True |
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return (theta, scatter) |
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def conservative_cross_validation(self, **kwargs): |
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""" |
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Perform conservative cross-validation using cyclic training, validation, |
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and test subsets of the labelled data. |
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""" |
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""" |
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Assign integer probabilities for each star. |
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0: for choosing the regularization term. |
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1-8 inclusive: training set. |
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9: for prediction. |
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""" |
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subset_index = np.random.randint(0, 10, size=len(self.training_labels)) |
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# Start with an initial value of the regularization. |
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raise NotImplementedError |
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View Code Duplication |
def _fit_pixel(fluxes, flux_uncertainties, label_vector_array, |
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regularization, **kwargs): |
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""" |
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Return the optimal label vector coefficients and scatter for a pixel, given |
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the fluxes, uncertainties, and the label vector array. |
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:param fluxes: |
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The fluxes for the given pixel, from all stars. |
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:param flux_uncertainties: |
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The 1-sigma flux uncertainties for the given pixel, from all stars. |
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:param label_vector_array: |
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The label vector array. This should have shape `(N_stars, N_terms + 1)`. |
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:param regularization: |
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The regularization term. |
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:returns: |
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The optimised label vector coefficients and scatter for this pixel. |
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""" |
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_ = kwargs.get("max_uncertainty", 1) |
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failed_response = (np.nan * np.ones(label_vector_array.shape[0]), _) |
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if np.all(flux_uncertainties >= _): |
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return failed_response |
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# Get an initial guess of the scatter. |
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scatter = np.var(fluxes) - np.median(flux_uncertainties)**2 |
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scatter = np.sqrt(scatter) if scatter >= 0 else np.std(fluxes) |
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# Optimise the scatter, and at each scatter value we will calculate the |
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# optimal vector coefficients. |
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op_scatter, fopt, direc, n_iter, n_funcs, warnflag = op.fmin_powell( |
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_pixel_scatter_nll, scatter, |
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args=(fluxes, flux_uncertainties, label_vector_array, regularization), |
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disp=False, full_output=True) |
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if warnflag > 0: |
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logger.warning("Warning: {}".format([ |
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"Maximum number of function evaluations made during optimisation.", |
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"Maximum number of iterations made during optimisation." |
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][warnflag - 1])) |
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# Calculate the coefficients at the optimal scatter value. |
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# Note that if we can't solve for the coefficients, we should just set them |
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# as zero and send back a giant variance. |
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try: |
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coefficients, ATCiAinv, variance = cannon._fit_coefficients( |
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fluxes, flux_uncertainties, op_scatter, label_vector_array) |
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except np.linalg.linalg.LinAlgError: |
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logger.exception("Failed to calculate coefficients") |
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if kwargs.get("debug", False): raise |
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return failed_response |
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else: |
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return (coefficients, op_scatter) |
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def _pixel_scatter_nll(scatter, fluxes, flux_uncertainties, label_vector_array, |
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regularization, **kwargs): |
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""" |
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Return the negative log-likelihood for the scatter in a single pixel. |
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:param scatter: |
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The model scatter in the pixel. |
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:param fluxes: |
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The fluxes for a given pixel (in many stars). |
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:param flux_uncertainties: |
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The 1-sigma uncertainties in the fluxes for a given pixel. This should |
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have the same shape as `fluxes`. |
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:param label_vector_array: |
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The label vector array for each star, for the given pixel. |
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:param regularization: |
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A regularization term. |
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:returns: |
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The log-likelihood of the log scatter, given the fluxes and the label |
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vector array. |
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:raises np.linalg.linalg.LinAlgError: |
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If there was an error in inverting a matrix, and `debug` is set to True. |
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""" |
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if 0 > scatter: |
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return np.inf |
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try: |
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# Calculate the coefficients for the given level of scatter. |
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theta, ATCiAinv, variance = cannon._fit_coefficients( |
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fluxes, flux_uncertainties, scatter, label_vector_array) |
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except np.linalg.linalg.LinAlgError: |
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if kwargs.get("debug", False): raise |
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return np.inf |
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model = np.dot(theta, label_vector_array) |
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return np.sum((fluxes - model)**2 / variance) \ |
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+ np.sum(np.log(variance)) \ |
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+ regularization * np.abs(theta).sum() |
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