Add Condition number method to LinearOperator.

PiperOrigin-RevId: 282443598
Change-Id: If96b0be1cb74bbf157dbb843349eec907a022798

tensorflow/python/kernel_tests/linalg/linear_operator_circulant_test.py

@@ -482,6 +482,10 @@ class LinearOperatorCirculant2DTestHermitianSpectrum(
   zero imaginary part.
   """
 
+  @staticmethod
+  def skip_these_tests():
+    return ["cond"]
+
   def operator_and_matrix(
       self, shape_info, dtype, use_placeholder,
       ensure_self_adjoint_and_pd=False):

tensorflow/python/kernel_tests/linalg/linear_operator_composition_test.py

@@ -20,7 +20,6 @@ from __future__ import print_function
 import numpy as np
 
 from tensorflow.python.framework import dtypes
-from tensorflow.python.framework import ops
 from tensorflow.python.framework import test_util
 from tensorflow.python.ops import array_ops
 from tensorflow.python.ops import math_ops
@@ -151,15 +150,12 @@ class NonSquareLinearOperatorCompositionTest(
     self._rtol[dtypes.float32] = 1e-4
     self._rtol[dtypes.complex64] = 1e-4
 
-  def operator_and_matrix(self, build_info, dtype, use_placeholder):
-    sess = ops.get_default_session()
+  def operator_and_matrix(
+      self, build_info, dtype, use_placeholder,
+      ensure_self_adjoint_and_pd=False):
+    del ensure_self_adjoint_and_pd
     shape = list(build_info.shape)
 
-    # Test only the case of 2 matrices.
-    # The Square test uses either 1 or 2, so we have tested the case of 1 matrix
-    # sufficiently.
-    num_operators = 2
-
     # Create 2 matrices/operators, A1, A2, which becomes A = A1 A2.
     # Use inner dimension of 2.
     k = 2

tensorflow/python/kernel_tests/linalg/linear_operator_full_matrix_test.py

@@ -222,7 +222,10 @@ class NonSquareLinearOperatorFullMatrixTest(
     linear_operator_test_util.NonSquareLinearOperatorDerivedClassTest):
   """Most tests done in the base class LinearOperatorDerivedClassTest."""
 
-  def operator_and_matrix(self, build_info, dtype, use_placeholder):
+  def operator_and_matrix(
+      self, build_info, dtype, use_placeholder,
+      ensure_self_adjoint_and_pd=False):
+    del ensure_self_adjoint_and_pd
     shape = list(build_info.shape)
     matrix = linear_operator_test_util.random_normal(shape, dtype=dtype)
 

tensorflow/python/kernel_tests/linalg/linear_operator_zeros_test.py

@@ -39,7 +39,13 @@ class LinearOperatorZerosTest(
   @staticmethod
   def skip_these_tests():
     return [
-        "cholesky", "log_abs_det", "inverse", "solve", "solve_with_broadcast"]
+        "cholesky",
+        "cond",
+        "inverse",
+        "log_abs_det",
+        "solve",
+        "solve_with_broadcast"
+    ]
 
   @staticmethod
   def operator_shapes_infos():
@@ -195,8 +201,11 @@ class LinearOperatorZerosTest(
 class LinearOperatorZerosNotSquareTest(
     linear_operator_test_util.NonSquareLinearOperatorDerivedClassTest):
 
-  def operator_and_matrix(self, build_info, dtype, use_placeholder):
+  def operator_and_matrix(
+      self, build_info, dtype, use_placeholder,
+      ensure_self_adjoint_and_pd=False):
     del use_placeholder
+    del ensure_self_adjoint_and_pd
     shape = list(build_info.shape)
 
     batch_shape = shape[:-2]

tensorflow/python/ops/linalg/linear_operator.py

@@ -1073,6 +1073,31 @@ class LinearOperator(module.Module):
     with self._name_scope(name):
       return self._eigvals()
 
+  def _cond(self):
+    if not self.is_self_adjoint:
+      # In general the condition number is the ratio of the
+      # absolute value of the largest and smallest singular values.
+      vals = linalg_ops.svd(self.to_dense(), compute_uv=False)
+    else:
+      # For self-adjoint matrices, and in general normal matrices,
+      # we can use eigenvalues.
+      vals = math_ops.abs(self._eigvals())
+
+    return (math_ops.reduce_max(vals, axis=-1) /
+            math_ops.reduce_min(vals, axis=-1))
+
+  def cond(self, name="cond"):
+    """Returns the condition number of this linear operator.
+
+    Args:
+      name:  A name for this `Op`.
+
+    Returns:
+      Shape `[B1,...,Bb]` `Tensor` of same `dtype` as `self`.
+    """
+    with self._name_scope(name):
+      return self._cond()
+
   def _can_use_cholesky(self):
     return self.is_self_adjoint and self.is_positive_definite
 

tensorflow/python/ops/linalg/linear_operator_adjoint.py

@@ -219,3 +219,6 @@ class LinearOperatorAdjoint(linear_operator.LinearOperator):
     if not self.operator.is_self_adjoint:
       eigvals = math_ops.conj(eigvals)
     return eigvals
+
+  def _cond(self):
+    return self.operator.cond()

tensorflow/python/ops/linalg/linear_operator_diag.py

@@ -183,6 +183,10 @@ class LinearOperatorDiag(linear_operator.LinearOperator):
     k = d_shape[-1]
     return array_ops.concat((d_shape, [k]), 0)
 
+  @property
+  def diag(self):
+    return self._diag
+
   def _assert_non_singular(self):
     return linear_operator_util.assert_no_entries_with_modulus_zero(
         self._diag,
@@ -249,6 +253,7 @@ class LinearOperatorDiag(linear_operator.LinearOperator):
   def _eigvals(self):
     return ops.convert_to_tensor(self.diag)
 
-  @property
-  def diag(self):
-    return self._diag
+  def _cond(self):
+    abs_diag = math_ops.abs(self.diag)
+    return (math_ops.reduce_max(abs_diag, axis=-1) /
+            math_ops.reduce_min(abs_diag, axis=-1))

tensorflow/python/ops/linalg/linear_operator_householder.py

@@ -253,6 +253,10 @@ class LinearOperatorHouseholder(linear_operator.LinearOperator):
         [-array_ops.ones(shape=neg_shape, dtype=self.dtype), eigvals], axis=-1)
     return eigvals
 
+  def _cond(self):
+    # Householder matrices are rotations which have condition number 1.
+    return array_ops.ones(self.batch_shape_tensor(), dtype=self.dtype)
+
   @property
   def reflection_axis(self):
     return self._reflection_axis

tensorflow/python/ops/linalg/linear_operator_identity.py

@@ -402,6 +402,9 @@ class LinearOperatorIdentity(BaseLinearOperatorIdentity):
   def _eigvals(self):
     return self._ones_diag()
 
+  def _cond(self):
+    return array_ops.ones(self.batch_shape_tensor(), dtype=self.dtype)
+
   def _check_num_rows_possibly_add_asserts(self):
     """Static check of init arg `num_rows`, possibly add asserts."""
     # Possibly add asserts.
@@ -730,6 +733,14 @@ class LinearOperatorScaledIdentity(BaseLinearOperatorIdentity):
   def _eigvals(self):
     return self._ones_diag() * self.multiplier[..., array_ops.newaxis]
 
+  def _cond(self):
+    # Condition number for a scalar time identity matrix is one, except when the
+    # scalar is zero.
+    return array_ops.where_v2(
+        math_ops.equal(self._multiplier, 0.),
+        math_ops.cast(np.nan, dtype=self.dtype),
+        math_ops.cast(1., dtype=self.dtype))
+
   @property
   def multiplier(self):
     """The [batch] scalar `Tensor`, `c` in `cI`."""

tensorflow/python/ops/linalg/linear_operator_inversion.py

@@ -201,3 +201,6 @@ class LinearOperatorInversion(linear_operator.LinearOperator):
 
   def _eigvals(self):
     return 1. / self.operator.eigvals()
+
+  def _cond(self):
+    return self.operator.cond()

tensorflow/python/ops/linalg/linear_operator_permutation.py

@@ -242,6 +242,10 @@ class LinearOperatorPermutation(linear_operator.LinearOperator):
         math_ops.range(0, self._domain_dimension_tensor(perm)),
         perm), self.dtype)
 
+  def _cond(self):
+    # Permutation matrices are rotations which have condition number 1.
+    return array_ops.ones(self.batch_shape_tensor(), dtype=self.dtype)
+
   @property
   def perm(self):
     return self._perm

tensorflow/python/ops/linalg/linear_operator_test_util.py

@@ -425,6 +425,10 @@ def _test_eigvalsh(use_placeholder, shapes_info, dtype):
       # for comparison.
       op_eigvals = sort_ops.sort(
           math_ops.cast(operator.eigvals(), dtype=dtypes.float64), axis=-1)
+      if dtype.is_complex:
+        mat = math_ops.cast(mat, dtype=dtypes.complex128)
+      else:
+        mat = math_ops.cast(mat, dtype=dtypes.float64)
       mat_eigvals = sort_ops.sort(
           math_ops.cast(
               linalg_ops.self_adjoint_eigvals(mat), dtype=dtypes.float64),
@@ -434,12 +438,53 @@ def _test_eigvalsh(use_placeholder, shapes_info, dtype):
       atol = self._atol[dtype]  # pylint: disable=protected-access
       rtol = self._rtol[dtype]  # pylint: disable=protected-access
       if dtype == dtypes.float32 or dtype == dtypes.complex64:
-        atol = 1e-4
-        rtol = 1e-4
+        atol = 2e-4
+        rtol = 2e-4
       self.assertAllClose(op_eigvals_v, mat_eigvals_v, atol=atol, rtol=rtol)
   return test_eigvalsh
 
 
+def _test_cond(use_placeholder, shapes_info, dtype):
+  def test_cond(self):
+    with self.test_session(graph=ops.Graph()) as sess:
+      # svd does not work with zero dimensional matrices, so we'll
+      # skip
+      if 0 in shapes_info.shape[-2:]:
+        return
+
+      sess.graph.seed = random_seed.DEFAULT_GRAPH_SEED
+      # Ensure self-adjoint and PD so we get finite condition numbers.
+      operator, mat = self.operator_and_matrix(
+          shapes_info, dtype, use_placeholder=use_placeholder,
+          ensure_self_adjoint_and_pd=True)
+      # Eigenvalues are real, so we'll cast these to float64 and sort
+      # for comparison.
+      op_cond = operator.cond()
+      s = math_ops.abs(linalg_ops.svd(mat, compute_uv=False))
+      mat_cond = math_ops.reduce_max(s, axis=-1) / math_ops.reduce_min(
+          s, axis=-1)
+      op_cond_v, mat_cond_v = sess.run([op_cond, mat_cond])
+
+      atol_override = {
+          dtypes.float16: 1e-2,
+          dtypes.float32: 1e-3,
+          dtypes.float64: 1e-6,
+          dtypes.complex64: 1e-3,
+          dtypes.complex128: 1e-6,
+      }
+      rtol_override = {
+          dtypes.float16: 1e-2,
+          dtypes.float32: 1e-3,
+          dtypes.float64: 1e-4,
+          dtypes.complex64: 1e-3,
+          dtypes.complex128: 1e-6,
+      }
+      atol = atol_override[dtype]
+      rtol = rtol_override[dtype]
+      self.assertAllClose(op_cond_v, mat_cond_v, atol=atol, rtol=rtol)
+  return test_cond
+
+
 def _test_solve_base(
     self,
     use_placeholder,
@@ -577,6 +622,7 @@ def add_tests(test_cls):
   test_name_dict = {
       "add_to_tensor": _test_add_to_tensor,
       "cholesky": _test_cholesky,
+      "cond": _test_cond,
       "det": _test_det,
       "diag_part": _test_diag_part,
       "eigvalsh": _test_eigvalsh,

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-adjoint.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-block-diag.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-circulant.pbtxt

@@ -127,6 +127,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "convolution_kernel"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'convolution_kernel\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-circulant2-d.pbtxt

@@ -127,6 +127,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "convolution_kernel"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'convolution_kernel\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-circulant3-d.pbtxt

@@ -127,6 +127,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "convolution_kernel"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'convolution_kernel\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-composition.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-diag.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-full-matrix.pbtxt

@@ -106,6 +106,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-householder.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-identity.pbtxt

@@ -107,6 +107,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-inversion.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-kronecker.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-low-rank-update.pbtxt

@@ -130,6 +130,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-lower-triangular.pbtxt

@@ -106,6 +106,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-permutation.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-scaled-identity.pbtxt

@@ -111,6 +111,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-toeplitz.pbtxt

@@ -114,6 +114,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator-zeros.pbtxt

@@ -106,6 +106,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v1/tensorflow.linalg.-linear-operator.pbtxt

@@ -105,6 +105,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-adjoint.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-block-diag.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-circulant.pbtxt

@@ -127,6 +127,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "convolution_kernel"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'convolution_kernel\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-circulant2-d.pbtxt

@@ -127,6 +127,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "convolution_kernel"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'convolution_kernel\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-circulant3-d.pbtxt

@@ -127,6 +127,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "convolution_kernel"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'convolution_kernel\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-composition.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-diag.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-full-matrix.pbtxt

@@ -106,6 +106,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-householder.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-identity.pbtxt

@@ -107,6 +107,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-inversion.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-kronecker.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-low-rank-update.pbtxt

@@ -130,6 +130,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-lower-triangular.pbtxt

@@ -106,6 +106,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-permutation.pbtxt

@@ -110,6 +110,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-scaled-identity.pbtxt

@@ -111,6 +111,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-toeplitz.pbtxt

@@ -114,6 +114,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator-zeros.pbtxt

@@ -106,6 +106,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "

tensorflow/tools/api/golden/v2/tensorflow.linalg.-linear-operator.pbtxt

@@ -105,6 +105,10 @@ tf_class {
     name: "cholesky"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cholesky\'], "
   }
+  member_method {
+    name: "cond"
+    argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'cond\'], "
+  }
   member_method {
     name: "determinant"
     argspec: "args=[\'self\', \'name\'], varargs=None, keywords=None, defaults=[\'det\'], "