diff --git a/python/test/test_kompute.py b/python/test/test_kompute.py
index 8c95f1f..fd66115 100644
--- a/python/test/test_kompute.py
+++ b/python/test/test_kompute.py
@@ -1,4 +1,7 @@
 
+from pyshader import python2shader, f32, ivec3, Array
+from pyshader.stdlib import exp, log
+
 from kp import Tensor, Manager, Sequence
 
 def test_opmult():
@@ -98,14 +101,13 @@ def test_sequence():
     seq.eval()
     assert tensor_out.data() == [2.0, 4.0, 6.0]
 
-def test_pyshader_generated():
-    from pyshader import python2shader, f32, ivec3, Array
+def test_pyshader_pyshader():
 
     @python2shader
-    def compute_shader_multiply(index: ("input", "GlobalInvocationId", ivec3),
-                                data1: ("buffer", 0, Array(f32)),
-                                data2: ("buffer", 1, Array(f32)),
-                                data3: ("buffer", 2, Array(f32))):
+    def compute_shader_multiply(index=("input", "GlobalInvocationId", ivec3),
+                                data1=("buffer", 0, Array(f32)),
+                                data2=("buffer", 1, Array(f32)),
+                                data3=("buffer", 2, Array(f32))):
         i = index.x
         data3[i] = data1[i] * data2[i]
 
@@ -121,5 +123,100 @@ def test_pyshader_generated():
 
     assert tensor_out.data() == [2.0, 4.0, 6.0]
 
+def test_logistic_regression_pyshader():
+    @python2shader
+    def compute_shader(
+            index   = ("input", "GlobalInvocationId", ivec3),
+            x_i     = ("buffer", 0, Array(f32)),
+            x_j     = ("buffer", 1, Array(f32)),
+            y       = ("buffer", 2, Array(f32)),
+            w_in    = ("buffer", 3, Array(f32)),
+            w_out_i = ("buffer", 4, Array(f32)),
+            w_out_j = ("buffer", 5, Array(f32)),
+            b_in    = ("buffer", 6, Array(f32)),
+            b_out   = ("buffer", 7, Array(f32)),
+            l_out   = ("buffer", 8, Array(f32)),
+            M       = ("buffer", 9, Array(f32))):
+
+        i = index.x
+
+        m = M[0]
+
+        w_curr = vec2(w_in[0], w_in[1])
+        b_curr = b_in[0]
+
+        x_curr = vec2(x_i[i], x_j[i])
+        y_curr = y[i]
+
+        z_dot = w_curr @ x_curr
+        z = z_dot + b_curr
+        y_hat = 1.0 / (1.0 + exp(-z))
+
+        d_z = y_hat - y_curr
+        d_w = (1.0 / m) * x_curr * d_z
+        d_b = (1.0 / m) * d_z
+
+        loss = -((y_curr * log(y_hat)) + ((1.0 + y_curr) * log(1.0 - y_hat)))
+
+        w_out_i[i] = d_w.x
+        w_out_j[i] = d_w.y
+        b_out[i] = d_b
+        l_out[i] = loss
+
+
+    # First we create input and ouput tensors for shader
+    tensor_x_i = Tensor([0.0, 1.0, 1.0, 1.0, 1.0])
+    tensor_x_j = Tensor([0.0, 0.0, 0.0, 1.0, 1.0])
+
+    tensor_y = Tensor([0.0, 0.0, 0.0, 1.0, 1.0])
+
+    tensor_w_in = Tensor([0.001, 0.001])
+    tensor_w_out_i = Tensor([0.0, 0.0, 0.0, 0.0, 0.0])
+    tensor_w_out_j = Tensor([0.0, 0.0, 0.0, 0.0, 0.0])
+
+    tensor_b_in = Tensor([0.0])
+    tensor_b_out = Tensor([0.0, 0.0, 0.0, 0.0, 0.0])
+
+    tensor_l_out = Tensor([0.0, 0.0, 0.0, 0.0, 0.0])
+
+    tensor_m = Tensor([ 5.0 ])
+
+    # We store them in an array for easier interaction
+    params = [tensor_x_i, tensor_x_j, tensor_y, tensor_w_in, tensor_w_out_i,
+        tensor_w_out_j, tensor_b_in, tensor_b_out, tensor_l_out, tensor_m]
+
+    mgr = Manager()
+
+    mgr.eval_tensor_create_def(params)
+
+    ITERATIONS = 100
+    learning_rate = 0.1
+
+    # Perform machine learning training and inference across all input X and Y
+    for i_iter in range(ITERATIONS):
+        mgr.eval_tensor_sync_device_def([tensor_w_in, tensor_b_in])
+        mgr.eval_algo_data_def(params, compute_shader.to_spirv())
+        mgr.eval_tensor_sync_local_def([tensor_w_out_i, tensor_w_out_j, tensor_b_out, tensor_l_out])
+
+        # Calculate the parameters based on the respective derivatives calculated
+        w_in_i_val = tensor_w_in.data()[0]
+        w_in_j_val = tensor_w_in.data()[1]
+        b_in_val = tensor_b_in.data()[0]
+
+        for j_iter in range(tensor_b_out.size()):
+            w_in_i_val -= learning_rate * tensor_w_out_i.data()[j_iter]
+            w_in_j_val -= learning_rate * tensor_w_out_j.data()[j_iter]
+            b_in_val -= learning_rate * tensor_b_out.data()[j_iter]
+
+        # Update the parameters to process inference again
+        tensor_w_in.set_data([w_in_i_val, w_in_j_val])
+        tensor_b_in.set_data([b_in_val])
+
+    assert tensor_w_in.data()[0] < 0.01
+    assert tensor_w_in.data()[0] > 0.0
+    assert tensor_w_in.data()[1] > 1.5
+    assert tensor_b_in.data()[0] < 0.7
+
+
 if __name__ == "__main__":
     test_sequence()