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initial notebook laying out the problem of bound constraints.
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@@ -13,13 +13,13 @@ class LinearProblem(Problem):
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return self.G.dot(m)
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def J(self, m, v, u=None):
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return G.dot(v)
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return self.G.dot(v)
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def Jt(self, m, v, u=None):
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return G.T.dot(v)
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return self.G.T.dot(v)
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if __name__ == '__main__':
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N = 100
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def example(N):
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h = np.ones(N)/N
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M = TensorMesh([h])
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@@ -28,8 +28,6 @@ if __name__ == '__main__':
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p = -0.25
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q = 0.25
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g = lambda k: np.exp(p*jk[k]*M.vectorCCx)*np.cos(2*np.pi*q*jk[k]*M.vectorCCx)
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G = np.empty((nk, M.nC))
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@@ -38,12 +36,6 @@ if __name__ == '__main__':
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G[i,:] = g(i)
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plt.figure(1)
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for i in range(nk):
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plt.plot(G[i,:])
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m_true = np.zeros(M.nC)
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m_true[M.vectorCCx > 0.3] = 1.
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m_true[M.vectorCCx > 0.45] = -0.5
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@@ -55,29 +47,29 @@ if __name__ == '__main__':
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d_obs = d_true + noise
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# plt.figure(3)
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# plt.plot(d_true,'-o')
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# plt.plot(d_obs,'r-o')
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prob = LinearProblem(M)
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prob.G = G
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prob.dobs = d_obs
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prob.std = np.ones_like(d_obs)*0.1
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return prob, m_true
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if __name__ == '__main__':
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prob, m_true = example(100)
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M = prob.mesh
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reg = Regularization(M)
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opt = InexactGaussNewton(maxIter=20)
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inv = Inversion(prob,reg,opt,beta0=1e-4)
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m0 = np.zeros_like(m_true)
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mrec = inv.run(m0)
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plt.figure(1)
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for i in range(prob.G.shape[0]):
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plt.plot(prob.G[i,:])
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plt.figure(2)
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