| 1 | #module imports
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| 2 | from fielddisplay import fielddisplay
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| 3 |
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| 4 | class inversion(object):
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| 5 | #properties
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| 6 | def __init__(self):
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| 7 | # {{{ Properties
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| 8 | self.iscontrol = 0
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| 9 | self.tao = 0
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| 10 | self.incomplete_adjoint = 0
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| 11 | self.control_parameters = float('NaN')
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| 12 | self.nsteps = 0
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| 13 | self.maxiter_per_step = float('NaN')
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| 14 | self.cost_functions = float('NaN')
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| 15 | self.cost_functions_coefficients = float('NaN')
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| 16 | self.gradient_scaling = float('NaN')
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| 17 | self.cost_function_threshold = 0
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| 18 | self.min_parameters = float('NaN')
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| 19 | self.max_parameters = float('NaN')
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| 20 | self.step_threshold = float('NaN')
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| 21 | self.gradient_only = 0
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| 22 | self.vx_obs = float('NaN')
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| 23 | self.vy_obs = float('NaN')
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| 24 | self.vz_obs = float('NaN')
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| 25 | self.vel_obs = float('NaN')
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| 26 | self.thickness_obs = float('NaN')
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| 27 | #}}}
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| 28 | def __repr__(obj):
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| 29 | # {{{ Display
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| 30 | string='\n Inversion parameters:'
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| 31 | string="%s\n%s"%(string,fielddisplay(obj,'iscontrol','is inversion activated?'))
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| 32 | string="%s\n%s"%(string,fielddisplay(obj,'incomplete_adjoint','do we assume linear viscosity?'))
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| 33 | string="%s\n%s"%(string,fielddisplay(obj,'control_parameters','parameter where inverse control is carried out; ex: {''FrictionCoefficient''}, or {''MaterialsRheologyBbar''}'))
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| 34 | string="%s\n%s"%(string,fielddisplay(obj,'nsteps','number of optimization searches'))
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| 35 | string="%s\n%s"%(string,fielddisplay(obj,'cost_functions','indicate the type of response for each optimization step'))
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| 36 | string="%s\n%s"%(string,fielddisplay(obj,'cost_functions_coefficients','cost_functions_coefficients applied to the misfit of each vertex and for each control_parameter'))
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| 37 | string="%s\n%s"%(string,fielddisplay(obj,'cost_function_threshold','misfit convergence criterion. Default is 1%, NaN if not applied'))
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| 38 | string="%s\n%s"%(string,fielddisplay(obj,'maxiter_per_step','maximum iterations during each optimization step'))
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| 39 | string="%s\n%s"%(string,fielddisplay(obj,'gradient_scaling','scaling factor on gradient direction during optimization, for each optimization step'))
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| 40 | string="%s\n%s"%(string,fielddisplay(obj,'step_threshold','decrease threshold for misfit, default is 30%'))
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| 41 | string="%s\n%s"%(string,fielddisplay(obj,'min_parameters','absolute minimum acceptable value of the inversed parameter on each vertex'))
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| 42 | string="%s\n%s"%(string,fielddisplay(obj,'max_parameters','absolute maximum acceptable value of the inversed parameter on each vertex'))
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| 43 | string="%s\n%s"%(string,fielddisplay(obj,'gradient_only','stop control method solution at gradient'))
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| 44 | string="%s\n%s"%(string,fielddisplay(obj,'vx_obs','observed velocity x component [m/a]'))
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| 45 | string="%s\n%s"%(string,fielddisplay(obj,'vy_obs','observed velocity y component [m/a]'))
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| 46 | string="%s\n%s"%(string,fielddisplay(obj,'vel_obs','observed velocity magnitude [m/a]'))
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| 47 | string="%s\n%s"%(string,fielddisplay(obj,'thickness_obs','observed thickness [m]'))
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| 48 | string="%s\n%s"%(string,'Available cost functions:')
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| 49 | string="%s\n%s"%(string,' 101: SurfaceAbsVelMisfit')
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| 50 | string="%s\n%s"%(string,' 102: SurfaceRelVelMisfit')
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| 51 | string="%s\n%s"%(string,' 103: SurfaceLogVelMisfit')
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| 52 | string="%s\n%s"%(string,' 104: SurfaceLogVxVyMisfit')
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| 53 | string="%s\n%s"%(string,' 105: SurfaceAverageVelMisfit')
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| 54 | string="%s\n%s"%(string,' 201: ThicknessAbsMisfit')
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| 55 | string="%s\n%s"%(string,' 501: DragCoefficientAbsGradient')
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| 56 | string="%s\n%s"%(string,' 502: RheologyBbarAbsGradient')
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| 57 | string="%s\n%s"%(string,' 503: ThicknessAbsGradient')
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| 58 | return string
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| 59 | #}}}
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| 60 |
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| 61 | def setdefaultparameters(obj):
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| 62 | # {{{setdefaultparameters
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| 63 |
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| 64 | #default is incomplete adjoint for now
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| 65 | obj.incomplete_adjoint=1
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| 66 |
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| 67 | #parameter to be inferred by control methods (only
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| 68 | #drag and B are supported yet)
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| 69 | obj.control_parameters=['FrictionCoefficient']
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| 70 |
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| 71 | #number of steps in the control methods
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| 72 | obj.nsteps=20
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| 73 |
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| 74 | #maximum number of iteration in the optimization algorithm for
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| 75 | #each step
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| 76 | obj.maxiter_per_step=20*ones(obj.nsteps)
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| 77 |
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| 78 | #the inversed parameter is updated as follows:
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| 79 | #new_par=old_par + gradient_scaling(n)*C*gradient with C in [0 1];
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| 80 | #usually the gradient_scaling must be of the order of magnitude of the
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| 81 | #inversed parameter (10^8 for B, 50 for drag) and can be decreased
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| 82 | #after the first iterations
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| 83 | obj.gradient_scaling=50*ones(obj.nsteps)
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| 84 |
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| 85 | #several responses can be used:
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| 86 | obj.cost_functions=101*ones(obj.nsteps)
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| 87 |
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| 88 | #step_threshold is used to speed up control method. When
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| 89 | #misfit(1)/misfit(0) < obj.step_threshold, we go directly to
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| 90 | #the next step
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| 91 | obj.step_threshold=.7*ones(obj.nsteps) #30 per cent decrement
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| 92 |
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| 93 | #stop control solution at the gradient computation and return it?
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| 94 | obj.gradient_only=0
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| 95 |
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| 96 | #cost_function_threshold is a criteria to stop the control methods.
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| 97 | #if J[n]-J[n-1]/J[n] < criteria, the control run stops
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| 98 | #NaN if not applied
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| 99 | obj.cost_function_threshold=NaN #not activated
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| 100 |
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| 101 | return obj
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| 102 | #}}}
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| 103 |
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| 104 |
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