nonlinear_wiener_filter_energy.py 2.5 KB
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# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program.  If not, see <http://www.gnu.org/licenses/>.
#
# Copyright(C) 2013-2018 Max-Planck-Society
#
# NIFTy is being developed at the Max-Planck-Institut fuer Astrophysik
# and financially supported by the Studienstiftung des deutschen Volkes.

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from .wiener_filter_curvature import WienerFilterCurvature
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from ..utilities import memo
from ..minimization.energy import Energy
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from .response_operators import LinearizedSignalResponse


class NonlinearWienerFilterEnergy(Energy):
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    def __init__(self, position, d, Instrument, nonlinearity, ht, power, N, S,
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                 inverter=None):
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        super(NonlinearWienerFilterEnergy, self).__init__(position=position)
        self.d = d
        self.Instrument = Instrument
        self.nonlinearity = nonlinearity
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        self.ht = ht
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        self.power = power
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        self.LinearizedResponse = \
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            LinearizedSignalResponse(Instrument, nonlinearity, ht, power,
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                                     self.position)
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        position_map = ht(self.power * self.position)
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        residual = d - Instrument(nonlinearity(position_map))
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        self.N = N
        self.S = S
        self.inverter = inverter
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        t1 = self.S.inverse_times(self.position)
        t2 = self.N.inverse_times(residual)
        tmp = self.position.vdot(t1) + residual.vdot(t2)
        self._value = 0.5 * tmp.real
        self._gradient = t1 - self.LinearizedResponse.adjoint_times(t2)
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    def at(self, position):
        return self.__class__(position, self.d, self.Instrument,
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                              self.nonlinearity, self.ht, self.power, self.N,
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                              self.S, inverter=self.inverter)
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    @property
    def value(self):
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        return self._value
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    @property
    def gradient(self):
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        return self._gradient
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    @property
    @memo
    def curvature(self):
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        return WienerFilterCurvature(R=self.LinearizedResponse, N=self.N,
                                     S=self.S, inverter=self.inverter)