diff --git a/autogen/numpy_api_dump.py b/autogen/numpy_api_dump.py
index 4ae0df25..1a754d2c 100644
--- a/autogen/numpy_api_dump.py
+++ b/autogen/numpy_api_dump.py
@@ -176,18 +176,6 @@ def compress(condition, a, axis=None, out=None):
     raise NotImplementedError
 
 
-def convolve(a, v, mode="full"):
-    raise NotImplementedError
-
-
-def copyto(dst, src, casting="same_kind", where=True):
-    raise NotImplementedError
-
-
-def correlate(a, v, mode="valid"):
-    raise NotImplementedError
-
-
 def cross(a, b, axisa=-1, axisb=-1, axisc=-1, axis=None):
     raise NotImplementedError
 
diff --git a/torch_np/_funcs_impl.py b/torch_np/_funcs_impl.py
index 0f70893c..09217725 100644
--- a/torch_np/_funcs_impl.py
+++ b/torch_np/_funcs_impl.py
@@ -570,6 +570,39 @@ def cov(
     return result
 
 
+def _conv_corr_impl(a, v, mode):
+    dt = _dtypes_impl.result_type_impl((a.dtype, v.dtype))
+    a = _util.cast_if_needed(a, dt)
+    v = _util.cast_if_needed(v, dt)
+
+    padding = v.shape[0] - 1 if mode == "full" else mode
+
+    # NumPy only accepts 1D arrays; PyTorch requires 2D inputs and 3D weights
+    aa = a[None, :]
+    vv = v[None, None, :]
+
+    result = torch.nn.functional.conv1d(aa, vv, padding=padding)
+
+    # torch returns a 2D result, numpy returns a 1D array
+    return result[0, :]
+
+
+def convolve(a: ArrayLike, v: ArrayLike, mode="full"):
+    # NumPy: if v is longer than a, the arrays are swapped before computation
+    if a.shape[0] < v.shape[0]:
+        a, v = v, a
+
+    # flip the weights since numpy does and torch does not
+    v = torch.flip(v, (0,))
+
+    return _conv_corr_impl(a, v, mode)
+
+
+def correlate(a: ArrayLike, v: ArrayLike, mode="valid"):
+    v = torch.conj_physical(v)
+    return _conv_corr_impl(a, v, mode)
+
+
 # ### logic & element selection ###
 
 
diff --git a/torch_np/tests/numpy_tests/core/test_numeric.py b/torch_np/tests/numpy_tests/core/test_numeric.py
index 6f7f9725..a74057e3 100644
--- a/torch_np/tests/numpy_tests/core/test_numeric.py
+++ b/torch_np/tests/numpy_tests/core/test_numeric.py
@@ -13,6 +13,7 @@
     assert_, assert_equal, assert_raises_regex,
     assert_array_equal, assert_almost_equal, assert_array_almost_equal,
     assert_warns, # assert_array_max_ulp, HAS_REFCOUNT, IS_WASM
+    assert_allclose,
     )
 from numpy.core._rational_tests import rational
 
@@ -2368,7 +2369,6 @@ def test_dtype_str_bytes(self, likefunc, dtype):
             assert result.strides == (4, 1)
 
 
-@pytest.mark.xfail(reason="TODO")
 class TestCorrelate:
     def _setup(self, dt):
         self.x = np.array([1, 2, 3, 4, 5], dtype=dt)
@@ -2390,20 +2390,13 @@ def test_float(self):
         assert_array_almost_equal(z, self.z1_4)
         z = np.correlate(self.y, self.x, 'full')
         assert_array_almost_equal(z, self.z2)
-        z = np.correlate(self.x[::-1], self.y, 'full')
+        z = np.correlate(np.flip(self.x), self.y, 'full')
         assert_array_almost_equal(z, self.z1r)
-        z = np.correlate(self.y, self.x[::-1], 'full')
+        z = np.correlate(self.y, np.flip(self.x), 'full')
         assert_array_almost_equal(z, self.z2r)
         z = np.correlate(self.xs, self.y, 'full')
         assert_array_almost_equal(z, self.zs)
 
-    def test_object(self):
-        self._setup(Decimal)
-        z = np.correlate(self.x, self.y, 'full')
-        assert_array_almost_equal(z, self.z1)
-        z = np.correlate(self.y, self.x, 'full')
-        assert_array_almost_equal(z, self.z2)
-
     def test_no_overwrite(self):
         d = np.ones(100)
         k = np.ones(3)
@@ -2415,16 +2408,17 @@ def test_complex(self):
         x = np.array([1, 2, 3, 4+1j], dtype=complex)
         y = np.array([-1, -2j, 3+1j], dtype=complex)
         r_z = np.array([3-1j, 6, 8+1j, 11+5j, -5+8j, -4-1j], dtype=complex)
-        r_z = r_z[::-1].conjugate()
+        r_z = np.flip(r_z).conjugate()
         z = np.correlate(y, x, mode='full')
         assert_array_almost_equal(z, r_z)
 
     def test_zero_size(self):
-        with pytest.raises(ValueError):
+        with pytest.raises((ValueError, RuntimeError)):
             np.correlate(np.array([]), np.ones(1000), mode='full')
-        with pytest.raises(ValueError):
+        with pytest.raises((ValueError, RuntimeError)):
             np.correlate(np.ones(1000), np.array([]), mode='full')
 
+    @pytest.mark.skip(reason='do not implement deprecated behavior')
     def test_mode(self):
         d = np.ones(100)
         k = np.ones(3)
@@ -2441,7 +2435,6 @@ def test_mode(self):
             np.correlate(d, k, mode=None)
 
 
-@pytest.mark.xfail(reason="TODO")
 class TestConvolve:
     def test_object(self):
         d = [1.] * 100
@@ -2455,6 +2448,7 @@ def test_no_overwrite(self):
         assert_array_equal(d, np.ones(100))
         assert_array_equal(k, np.ones(3))
 
+    @pytest.mark.skip(reason='do not implement deprecated behavior')
     def test_mode(self):
         d = np.ones(100)
         k = np.ones(3)
@@ -2470,6 +2464,16 @@ def test_mode(self):
         with assert_raises(TypeError):
             np.convolve(d, k, mode=None)
 
+    def test_numpy_doc_examples(self):
+        conv = np.convolve([1, 2, 3], [0, 1, 0.5])
+        assert_allclose(conv, [0., 1., 2.5, 4., 1.5], atol=1e-15)
+
+        conv = np.convolve([1, 2, 3], [0, 1, 0.5], 'same')
+        assert_allclose(conv, [1., 2.5, 4.], atol=1e-15)
+
+        conv = np.convolve([1, 2, 3], [0, 1, 0.5], 'valid')
+        assert_allclose(conv, [2.5], atol=1e-15)
+
 
 class TestDtypePositional: