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Small changes to Example
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@@ -34,6 +34,8 @@ midx = int(mesh.nCx/2)
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midy = int(mesh.nCy/2)+1
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midz = int(mesh.nCz/2)
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vmin = 0
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vmax = 1e-3
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#%% Run inversion
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prob = PF.Magnetics.Problem3D_Integral(mesh, mapping=idenMap, actInd=actv)
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prob.solverOpts['accuracyTol'] = 1e-4
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@@ -43,7 +45,7 @@ survey.pair(prob)
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pred = prob.fields(driver.m0)
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PF.Magnetics.writeUBCobs('Pred.dat', survey, pred)
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wr = np.sum(prob.G**2.,axis=0)**0.5 / mesh.vol[actv]
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wr = np.sum(prob.G**2.,axis=0)**0.5
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wr = ( wr/np.max(wr) )
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wr_out = actvMap * wr
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@@ -56,11 +58,11 @@ plt.gca().set_aspect('equal', adjustable='box')
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reg = Regularization.Simple(mesh, indActive=actv, mapping=idenMap)
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reg.mref = driver.mref
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reg.wght = wr
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reg.cell_weights = wr
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dmis = DataMisfit.l2_DataMisfit(survey)
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dmis.Wd = 1/wd
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opt = Optimization.ProjectedGNCG(maxIter=10,lower=0.,upper=1., maxIterCG= 20, tolCG=1e-3)
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opt = Optimization.ProjectedGNCG(maxIter=10,lower=0.,upper=1., maxIterCG= 10, tolCG=1e-3)
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invProb = InvProblem.BaseInvProblem(dmis, reg, opt)
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@@ -93,14 +95,14 @@ m_out[m_out==-100] = np.nan
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plt.figure()
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ax = plt.subplot(221)
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mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-5, clim = (mrec.min(), mrec.max()))
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mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-5, clim = (vmin,vmax))
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plt.plot(np.array([mesh.vectorCCx[0],mesh.vectorCCx[-1]]), np.array([mesh.vectorCCy[yslice],mesh.vectorCCy[yslice]]),c='w',linestyle = '--')
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plt.title('Z: ' + str(mesh.vectorCCz[-5]) + ' m')
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plt.xlabel('x');plt.ylabel('z')
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plt.gca().set_aspect('equal', adjustable='box')
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ax = plt.subplot(222)
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mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-8, clim = (mrec.min(), mrec.max()))
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mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-8, clim = (vmin,vmax))
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plt.plot(np.array([mesh.vectorCCx[0],mesh.vectorCCx[-1]]), np.array([mesh.vectorCCy[yslice],mesh.vectorCCy[yslice]]),c='w',linestyle = '--')
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plt.title('Z: ' + str(mesh.vectorCCz[-8]) + ' m')
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plt.xlabel('x');plt.ylabel('z')
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@@ -108,15 +110,15 @@ plt.gca().set_aspect('equal', adjustable='box')
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ax = plt.subplot(212)
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mesh.plotSlice(m_out, ax = ax, normal = 'Y', ind=yslice, clim = (mrec.min(), mrec.max()))
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mesh.plotSlice(m_out, ax = ax, normal = 'Y', ind=yslice, clim = (vmin,vmax))
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plt.title('Smooth Unconstrained')
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plt.xlabel('x');plt.ylabel('z')
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plt.gca().set_aspect('equal', adjustable='box')
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#%% Re-run inversion using a starting model with
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# static cells
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m0 = np.ones(mesh.nC)*1e-3
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val = 0.005
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m0 = np.ones(mesh.nC)*1e-4
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val = 0.002
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# Reshape the model in order to create a static block
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m0 = np.reshape(m0,(mesh.nCx,mesh.nCy,mesh.nCz), order = 'F')
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@@ -140,11 +142,11 @@ PF.Magnetics.writeUBCobs('Pred.dat', survey, pred)
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reg = Regularization.Simple(mesh, indActive=actv, mapping=actvCells)
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reg.mref = driver.mref[ind_act]
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reg.wght = wr
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reg.cell_weights = wr
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dmis = DataMisfit.l2_DataMisfit(survey)
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dmis.Wd = 1/wd
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opt = Optimization.ProjectedGNCG(maxIter=10,lower=0.,upper=1., maxIterCG= 20, tolCG=1e-3)
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opt = Optimization.ProjectedGNCG(maxIter=10,lower=0.,upper=1., maxIterCG= 10, tolCG=1e-3)
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invProb = InvProblem.BaseInvProblem(dmis, reg, opt)
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@@ -177,21 +179,21 @@ m_out[m_out==-100] = np.nan
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plt.figure()
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ax = plt.subplot(221)
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mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-5, clim = (mrec.min(), mrec.max()))
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mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-5, clim = (vmin,vmax))
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plt.plot(np.array([mesh.vectorCCx[0],mesh.vectorCCx[-1]]), np.array([mesh.vectorCCy[yslice],mesh.vectorCCy[yslice]]),c='w',linestyle = '--')
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plt.title('Z: ' + str(mesh.vectorCCz[-5]) + ' m')
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plt.xlabel('x');plt.ylabel('z')
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plt.gca().set_aspect('equal', adjustable='box')
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ax = plt.subplot(222)
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mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-8, clim = (mrec.min(), mrec.max()))
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mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-8, clim = (vmin,vmax))
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plt.plot(np.array([mesh.vectorCCx[0],mesh.vectorCCx[-1]]), np.array([mesh.vectorCCy[yslice],mesh.vectorCCy[yslice]]),c='w',linestyle = '--')
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plt.title('Z: ' + str(mesh.vectorCCz[-8]) + ' m')
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plt.xlabel('x');plt.ylabel('z')
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plt.gca().set_aspect('equal', adjustable='box')
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ax = plt.subplot(212)
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mesh.plotSlice(m_out, ax = ax, normal = 'Y', ind=yslice, clim = (mrec.min(), mrec.max()))
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mesh.plotSlice(m_out, ax = ax, normal = 'Y', ind=yslice, clim = (vmin,vmax))
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plt.title('Smooth Constrained')
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plt.xlabel('x');plt.ylabel('z')
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plt.gca().set_aspect('equal', adjustable='box')
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@@ -202,17 +204,17 @@ phid = invProb.phi_d
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# Set parameters for sparsity
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reg = Regularization.Sparse(mesh, indActive = actv, mapping=actvCells)
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reg.recModel = mrec
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reg.curModel = mrec
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reg.mref = driver.mref[ind_act]
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reg.wght = wr
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reg.cell_weights = wr
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reg.eps_p = eps_p
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reg.eps_q = eps_q
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reg.norms = driver.lpnorms
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dmis = DataMisfit.l2_DataMisfit(survey)
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dmis.Wd = wd
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opt = Optimization.ProjectedGNCG(maxIter=10 , lower=0.,upper=1., maxIterCG= 10, tolCG = 1e-4)
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dmis.Wd = 1./wd
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opt = Optimization.ProjectedGNCG(maxIter=10 , lower=0.,upper=1., maxIterCG= 20, tolCG = 1e-4)
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invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta = invProb.beta)
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@@ -220,7 +222,7 @@ invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta = invProb.beta)
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beta = Directives.BetaSchedule(coolingFactor=1, coolingRate=1)
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update_beta = Directives.Scale_Beta(tol = 0.05)
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target = Directives.TargetMisfit()
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IRLS =Directives.Update_IRLS( phi_m_last = phim, phi_d_last = phid )
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IRLS =Directives.Update_IRLS( phi_m_last = phim )
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update_Jacobi = Directives.Update_lin_PreCond(onlyOnStart=False)
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save_log = Directives.SaveOutputEveryIteration()
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save_log.fileName = 'LogName_blabla'
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@@ -251,21 +253,21 @@ m_out[m_out==-100] = np.nan
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plt.figure()
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ax = plt.subplot(221)
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mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-5, clim = (mrec.min(), mrec.max()))
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mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-5, clim = (mrec.min(),mrec.max()))
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plt.plot(np.array([mesh.vectorCCx[0],mesh.vectorCCx[-1]]), np.array([mesh.vectorCCy[yslice],mesh.vectorCCy[yslice]]),c='w',linestyle = '--')
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plt.title('Z: ' + str(mesh.vectorCCz[-5]) + ' m')
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plt.xlabel('x');plt.ylabel('z')
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plt.gca().set_aspect('equal', adjustable='box')
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ax = plt.subplot(222)
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mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-8, clim = (mrec.min(), mrec.max()))
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mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-8, clim = (mrec.min(),mrec.max()))
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plt.plot(np.array([mesh.vectorCCx[0],mesh.vectorCCx[-1]]), np.array([mesh.vectorCCy[yslice],mesh.vectorCCy[yslice]]),c='w',linestyle = '--')
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plt.title('Z: ' + str(mesh.vectorCCz[-8]) + ' m')
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plt.xlabel('x');plt.ylabel('z')
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plt.gca().set_aspect('equal', adjustable='box')
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ax = plt.subplot(212)
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mesh.plotSlice(m_out, ax = ax, normal = 'Y', ind=yslice, clim = (mrec.min(), mrec.max()))
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mesh.plotSlice(m_out, ax = ax, normal = 'Y', ind=yslice, clim = (mrec.min(),mrec.max()))
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plt.title('Compact Constrained')
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plt.xlabel('x');plt.ylabel('z')
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plt.gca().set_aspect('equal', adjustable='box')
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@@ -60,9 +60,9 @@ reg.mref = driver.mref
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reg.cell_weights = wr
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#reg.mref = np.zeros(mesh.nC)
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eps_p = 2e-4
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eps_p = 5e-5
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eps_q = 5e-5
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norms = [0., 2., 2., 2.]
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norms = [0., 1., 1., 1.]
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opt = Optimization.ProjectedGNCG(maxIter=100 ,lower=-2.,upper=2., maxIterLS = 20, maxIterCG= 10, tolCG = 1e-3)
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invProb = InvProblem.BaseInvProblem(dmis, reg, opt)
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@@ -70,7 +70,7 @@ invProb = InvProblem.BaseInvProblem(dmis, reg, opt)
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#update_beta = Directives.Scale_Beta(tol = 0.05, coolingRate=5)
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betaest = Directives.BetaEstimate_ByEig()
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IRLS = Directives.Update_IRLS( norms=norms, eps_p=eps_p, eps_q=eps_q, f_min_change = 1e-2)
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update_Jacobi = Directives.Update_lin_PreCond(onlyOnStart=True)
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update_Jacobi = Directives.Update_lin_PreCond()
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inv = Inversion.BaseInversion(invProb, directiveList=[IRLS,betaest,update_Jacobi])
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# Run inversion
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