Merge branch 'dev' into pf/dev

Conflicts:
	.gitignore
	SimPEG/Examples/__init__.py

SimPEG/Examples/DC_Analytic_Dipole.py

@@ -1,7 +1,7 @@
 from SimPEG import *
 import SimPEG.EM.Static.DC as DC
 
-def run(plotIt=False):
+def run(plotIt=True):
     cs = 25.
     hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
     hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
@@ -65,4 +65,4 @@ def run(plotIt=False):
 
 
 if __name__ == '__main__':
-    print run(plotIt=True)
+    print run()

SimPEG/Examples/Inversion_IRLS.py

@@ -42,55 +42,33 @@ def run(N=100, plotIt=True):
     survey = Survey.LinearSurvey()
     survey.pair(prob)
     survey.dobs = prob.fields(mtrue) + std_noise * np.random.randn(nk)
-    #survey.makeSyntheticData(mtrue, std=std_noise)
 
     wd = np.ones(nk) * std_noise
 
-    #print survey.std[0]
-    #M = prob.mesh
     # Distance weighting
     wr = np.sum(prob.G**2.,axis=0)**0.5
     wr = ( wr/np.max(wr) )
 
-#    reg = Regularization.Simple(mesh)
-#    reg.mref = mref
-#    reg.cell_weights = wr
-#
     dmis = DataMisfit.l2_DataMisfit(survey)
     dmis.Wd = 1./wd
-#
-#    opt = Optimization.ProjectedGNCG(maxIter=20,lower=-2.,upper=2., maxIterCG= 10, tolCG = 1e-4)
-#    invProb = InvProblem.BaseInvProblem(dmis, reg, opt)
-#    invProb.curModel = m0
-#
-#    beta = Directives.BetaSchedule(coolingFactor=2, coolingRate=1)
-#    target = Directives.TargetMisfit()
-#
+
     betaest = Directives.BetaEstimate_ByEig()
-#    inv = Inversion.BaseInversion(invProb, directiveList=[beta, betaest, target])
-#
-#
-#    mrec = inv.run(m0)
-#    ml2 = mrec
-#    print "Final misfit:" + str(invProb.dmisfit.eval(mrec))
-#
-#    # Switch regularization to sparse
-#    phim = invProb.phi_m_last
-#    phid =  invProb.phi_d
 
     reg = Regularization.Sparse(mesh)
     reg.mref = mref
     reg.cell_weights = wr
 
     reg.mref = np.zeros(mesh.nC)
-    eps_p = 5e-2
-    eps_q = 5e-2
-    norms   = [0., 0., 2., 2.]
+    
 
     opt = Optimization.ProjectedGNCG(maxIter=100 ,lower=-2.,upper=2., maxIterLS = 20, maxIterCG= 10, tolCG = 1e-3)
     invProb = InvProblem.BaseInvProblem(dmis, reg, opt)
     update_Jacobi = Directives.Update_lin_PreCond()
-    IRLS = Directives.Update_IRLS( norms=norms,  eps_p=eps_p, eps_q=eps_q)
+    
+    # Set the IRLS directive, penalize the lowest 25 percentile of model values
+    # Start with an l2-l2, then switch to lp-norms
+    norms   = [0., 0., 2., 2.]    
+    IRLS = Directives.Update_IRLS( norms=norms, prctile = 25, maxIRLSiter = 15, minGNiter=3)
 
     inv = Inversion.BaseInversion(invProb, directiveList=[IRLS,betaest,update_Jacobi])
 

SimPEG/Examples/Maps_ComboMaps.py

@@ -0,0 +1,62 @@
+from SimPEG import Mesh, Maps, np
+
+def run(plotIt=True):
+    """
+
+        Maps: ComboMaps
+        ===============
+
+        We will use an example where we want a 1D layered earth as
+        our model, but we want to map this to a 2D discretization to do our forward
+        modeling. We will also assume that we are working in log conductivity still,
+        so after the transformation we want to map to conductivity space.
+        To do this we will introduce the vertical 1D map (:class:`SimPEG.Maps.SurjectVertical1D`),
+        which does the first part of what we just described. The second part will be
+        done by the :class:`SimPEG.Maps.ExpMap` described above.
+
+        .. code-block:: python
+            :linenos:
+
+            M = Mesh.TensorMesh([7,5])
+            v1dMap = Maps.SurjectVertical1D(M)
+            expMap = Maps.ExpMap(M)
+            myMap = expMap * v1dMap
+            m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
+            sig = myMap * m
+
+        If you noticed, it was pretty easy to combine maps. What is even cooler is
+        that the derivatives also are made for you (if everything goes right).
+        Just to be sure that the derivative is correct, you should always run the test
+        on the mapping that you create.
+
+    """
+
+
+    M = Mesh.TensorMesh([7,5])
+    v1dMap = Maps.SurjectVertical1D(M)
+    expMap = Maps.ExpMap(M)
+    myMap = expMap * v1dMap
+    m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
+    sig = myMap * m
+
+    if not plotIt: return
+
+    import matplotlib.pyplot as plt
+    figs, axs = plt.subplots(1,2)
+    axs[0].plot(m, M.vectorCCy, 'b-o')
+    axs[0].set_title('Model')
+    axs[0].set_ylabel('Depth, y')
+    axs[0].set_xlabel('Value, $m_i$')
+    axs[0].set_xlim(0,3)
+    axs[0].set_ylim(0,1)
+    clbar = plt.colorbar(M.plotImage(sig,ax=axs[1],grid=True,gridOpts=dict(color='grey'))[0])
+    axs[1].set_title('Physical Property')
+    axs[1].set_ylabel('Depth, y')
+    clbar.set_label('$\sigma = \exp(\mathbf{P}m)$')
+    plt.tight_layout()
+    plt.show()
+
+
+if __name__ == '__main__':
+    run()
+

SimPEG/Examples/Maps_Mesh2Mesh.py

@@ -0,0 +1,41 @@
+from SimPEG import Mesh, Maps, Utils
+
+def run(plotIt=True):
+    """
+
+        Maps: Mesh2Mesh
+        ===============
+
+        This mapping allows you to go from one mesh to another.
+
+    """
+
+    M = Mesh.TensorMesh([100,100])
+    h1 = Utils.meshTensor([(6,7,-1.5),(6,10),(6,7,1.5)])
+    h1 = h1/h1.sum()
+    M2 = Mesh.TensorMesh([h1,h1])
+    V = Utils.ModelBuilder.randomModel(M.vnC, seed=79, its=50)
+    v = Utils.mkvc(V)
+    modh = Maps.Mesh2Mesh([M,M2])
+    modH = Maps.Mesh2Mesh([M2,M])
+    H = modH * v
+    h = modh * H
+
+    if not plotIt: return
+
+    import matplotlib.pyplot as plt
+    ax = plt.subplot(131)
+    M.plotImage(v, ax=ax)
+    ax.set_title('Fine Mesh (Original)')
+    ax = plt.subplot(132)
+    M2.plotImage(H,clim=[0,1],ax=ax)
+    ax.set_title('Course Mesh')
+    ax = plt.subplot(133)
+    M.plotImage(h,clim=[0,1],ax=ax)
+    ax.set_title('Fine Mesh (Interpolated)')
+    plt.show()
+
+
+if __name__ == '__main__':
+    run()
+

SimPEG/Examples/Utils_surface2ind_topo.py

@@ -2,7 +2,7 @@ from SimPEG import *
 from SimPEG.Utils import surface2ind_topo
 
 
-def run(plotIt=False, nx=5, ny=5):
+def run(plotIt=True, nx=5, ny=5):
     """
 
         Utils: surface2ind_topo

SimPEG/Examples/__init__.py

@@ -10,6 +10,8 @@ import EM_TDEM_1D_Inversion
 import FLOW_Richards_1D_Celia1990
 import Inversion_IRLS
 import Inversion_Linear
+import Maps_ComboMaps
+import Maps_Mesh2Mesh
 import Mesh_Basic_ForwardDC
 import Mesh_Basic_PlotImage
 import Mesh_Basic_Types
@@ -20,10 +22,9 @@ import Mesh_QuadTree_HangingNodes
 import Mesh_Tensor_Creation
 import MT_1D_ForwardAndInversion
 import MT_3D_Foward
-import PF_Magnetics_Analytics
 import Utils_surface2ind_topo
 
-__examples__ = ["DC_Analytic_Dipole", "DC_Forward_PseudoSection", "EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_Schenkel_Morrison_Casing", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Inversion_IRLS", "Inversion_Linear", "Mesh_Basic_ForwardDC", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation", "MT_1D_ForwardAndInversion", "MT_3D_Foward", "PF_Magnetics_Analytics", "Utils_surface2ind_topo"]
+__examples__ = ["DC_Analytic_Dipole", "DC_Forward_PseudoSection", "EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_Schenkel_Morrison_Casing", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Inversion_IRLS", "Inversion_Linear", "Maps_ComboMaps", "Maps_Mesh2Mesh", "Mesh_Basic_ForwardDC", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation", "MT_1D_ForwardAndInversion", "MT_3D_Foward", "Utils_surface2ind_topo"]
 
 ##### AUTOIMPORTS #####