Implementation np.outer function (#21270)

* Implementation np.outer function in path: keras\src\backend\openvino\numpy.py

* fix np.outer error: Accessing out-of-range dimension

* fix np.outer error: Accessing out-of-range dimension

* fix format errors

* fix not request changes

* fix Suggested changes in outer method

* delete comment

Author: sanleo-wq

keras/src/backend/openvino/excluded_concrete_tests.txt

@@ -39,7 +39,6 @@ NumpyDtypeTest::test_median
 NumpyDtypeTest::test_meshgrid
 NumpyDtypeTest::test_minimum_python_types
 NumpyDtypeTest::test_multiply
-NumpyDtypeTest::test_outer_
 NumpyDtypeTest::test_power
 NumpyDtypeTest::test_prod
 NumpyDtypeTest::test_quantile
@@ -143,7 +142,6 @@ NumpyTwoInputOpsCorrectnessTest::test_einsum
 NumpyTwoInputOpsCorrectnessTest::test_inner
 NumpyTwoInputOpsCorrectnessTest::test_linspace
 NumpyTwoInputOpsCorrectnessTest::test_logspace
-NumpyTwoInputOpsCorrectnessTest::test_outer
 NumpyTwoInputOpsCorrectnessTest::test_quantile
 NumpyTwoInputOpsCorrectnessTest::test_take_along_axis
 NumpyTwoInputOpsCorrectnessTest::test_tensordot

keras/src/backend/openvino/numpy.py

@@ -1211,7 +1211,21 @@ def ones_like(x, dtype=None):
 
 
 def outer(x1, x2):
-    raise NotImplementedError("`outer` is not supported with openvino backend")
+    x1 = get_ov_output(x1)
+    x2 = get_ov_output(x2)
+
+    x1, x2 = _align_operand_types(x1, x2, "outer()")
+
+    new_shape_x1 = ov_opset.constant([-1, 1], Type.i32).output(0)
+    new_shape_x2 = ov_opset.constant([1, -1], Type.i32).output(0)
+
+    # Reshape directly from original tensors
+    x1_reshaped = ov_opset.reshape(x1, new_shape_x1, False).output(0)
+    x2_reshaped = ov_opset.reshape(x2, new_shape_x2, False).output(0)
+
+    result = ov_opset.multiply(x1_reshaped, x2_reshaped).output(0)
+
+    return OpenVINOKerasTensor(result)
 
 
 def pad(x, pad_width, mode="constant", constant_values=None):