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2    Copyright (C) 2008-2024 EDF R&D
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4    This file is part of SALOME ADAO module.
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20    See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
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22    Author: Jean-Philippe Argaud, jean-philippe.argaud@edf.fr, EDF R&D
23
24 .. index:: single: EnsembleBlue
25 .. _section_ref_algorithm_EnsembleBlue:
26
27 Calculation algorithm "*EnsembleBlue*"
28 --------------------------------------
29
30 .. ------------------------------------ ..
31 .. include:: snippets/Header2Algo01.rst
32
33 This algorithm realizes a BLUE (Best Linear Unbiased Estimator, which is here an
34 Aitken estimator) type estimation of the state of a system by an ensemble
35 method. To work, one must give a set of backgrounds, their number determining
36 the size of the ensemble for the estimation.
37
38 It is theoretically reserved for observation operator cases which are linear,
39 but has to work also in "slightly" non-linear cases. One can verify the
40 linearity of the observation operator with the help of the
41 :ref:`section_ref_algorithm_LinearityTest`.
42
43 .. ------------------------------------ ..
44 .. include:: snippets/Header2Algo12.rst
45
46 .. include:: snippets/FeaturePropLocalOptimization.rst
47
48 .. include:: snippets/FeaturePropDerivativeNeeded.rst
49
50 .. include:: snippets/FeaturePropParallelDerivativesOnly.rst
51
52 .. ------------------------------------ ..
53 .. include:: snippets/Header2Algo02.rst
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55 .. include:: snippets/Background.rst
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57 .. include:: snippets/BackgroundError.rst
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59 .. include:: snippets/Observation.rst
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61 .. include:: snippets/ObservationError.rst
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63 .. include:: snippets/ObservationOperator.rst
64
65 .. ------------------------------------ ..
66 .. include:: snippets/Header2Algo03AdOp.rst
67
68 .. include:: snippets/SetSeed.rst
69
70 StoreSupplementaryCalculations
71   .. index:: single: StoreSupplementaryCalculations
72
73   *List of names*. This list indicates the names of the supplementary
74   variables, that can be available during or at the end of the algorithm, if
75   they are initially required by the user. Their availability involves,
76   potentially, costly calculations or memory consumptions. The default is then
77   a void list, none of these variables being calculated and stored by default
78   (excepted the unconditional variables). The possible names are in the
79   following list (the detailed description of each named variable is given in
80   the following part of this specific algorithmic documentation, in the
81   sub-section "*Information and variables available at the end of the
82   algorithm*"): [
83   "Analysis",
84   "CurrentOptimum",
85   "CurrentState",
86   "Innovation",
87   "SimulatedObservationAtBackground",
88   "SimulatedObservationAtCurrentState",
89   "SimulatedObservationAtOptimum",
90   ].
91
92   Example :
93   ``{"StoreSupplementaryCalculations":["CurrentState", "Residu"]}``
94
95 .. ------------------------------------ ..
96 .. include:: snippets/Header2Algo04.rst
97
98 .. include:: snippets/Analysis.rst
99
100 .. include:: snippets/CurrentState.rst
101
102 .. include:: snippets/Innovation.rst
103
104 .. ------------------------------------ ..
105 .. include:: snippets/Header2Algo05.rst
106
107 .. include:: snippets/Analysis.rst
108
109 .. include:: snippets/CurrentOptimum.rst
110
111 .. include:: snippets/CurrentState.rst
112
113 .. include:: snippets/Innovation.rst
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115 .. include:: snippets/SimulatedObservationAtBackground.rst
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117 .. include:: snippets/SimulatedObservationAtCurrentState.rst
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119 .. include:: snippets/SimulatedObservationAtOptimum.rst
120
121 .. ------------------------------------ ..
122 .. _section_ref_algorithm_EnsembleBlue_examples:
123
124 .. include:: snippets/Header2Algo06.rst
125
126 - :ref:`section_ref_algorithm_Blue`
127 - :ref:`section_ref_algorithm_EnsembleKalmanFilter`