diff --git a/tensorflow/lite/micro/compression/compress.py b/tensorflow/lite/micro/compression/compress.py
index 18390d0d735..93bfb2e814b 100644
--- a/tensorflow/lite/micro/compression/compress.py
+++ b/tensorflow/lite/micro/compression/compress.py
@@ -20,7 +20,7 @@
 import bitarray.util
 from dataclasses import dataclass, field
 import sys
-from typing import ByteString, Iterable
+from typing import ByteString, Iterable, Optional
 
 import absl.app
 import absl.flags
@@ -107,7 +107,7 @@ def _add_subgraph(self):
 
 @dataclass
 class _LutCompressedArray:
-  compression_axis: int = 0
+  compression_axis: Optional[int] = None
   lookup_tables: list[np.ndarray] = field(default_factory=list)
   indices: np.ndarray = field(default_factory=lambda: np.array([]))
 
@@ -121,27 +121,46 @@ def index_bitwidth(self) -> int:
     return max_index.bit_length() or 1
 
 
-def _lut_compress_array(tensor: np.ndarray, axis: int) -> _LutCompressedArray:
-  """Compresses using a lookup table per subarray along the given axis.
+def _lut_compress_array(tensor: np.ndarray,
+                        axis: Optional[int]) -> _LutCompressedArray:
+  """Compresses the given tensor using lookup tables.
 
-  Compressing a tensor with a lookup table per subarray along a particular axis
-  is analogous to quantizing a tensor with different quantization parameters
-  per subarray along a particular axis (dimension).
+  Args:
+      tensor (np.ndarray): The tensor to be compressed.
+
+      axis (Optional[int]): The axis along which to compress the tensor. If an
+          axis is given, a lookup table is created for each slice along the
+          axis. If axis is None, a single lookup table is used for the entire
+          tensor.
+
+          Compressing a tensor with a lookup table per slice along a
+          particular axis is analogous to quantizing a tensor with different
+          quantization parameters per slice along a particular axis (dimension).
+
+  Returns:
+      _LutCompressedArray: An object containing the compressed tensor data,
+      including the lookup tables and indices.
   """
   compressed = _LutCompressedArray()
   compressed.compression_axis = axis
 
-  # Iterate over subarrays along the compression axis
-  subarray_indices = []
-  for subarray in np.moveaxis(tensor, axis, 0):
-    values, indices = np.unique(subarray, return_inverse=True)
+  if axis is None:
+    # Compute unique values and indices for the entire tensor
+    values, indices = np.unique(tensor, return_inverse=True)
     compressed.lookup_tables.append(values)
-    indices = indices.reshape(subarray.shape)
-    subarray_indices.append(indices)
-
-  # Reconstruct a tensor of indices from the subarrays
-  stacked = np.stack(subarray_indices, axis=0)
-  compressed.indices = np.moveaxis(stacked, 0, axis)
+    compressed.indices = indices.reshape(tensor.shape)
+  else:
+    # Iterate over slices along the compression axis
+    slice_indices = []
+    for slice in np.moveaxis(tensor, axis, 0):
+      values, indices = np.unique(slice, return_inverse=True)
+      compressed.lookup_tables.append(values)
+      indices = indices.reshape(slice.shape)
+      slice_indices.append(indices)
+
+    # Reconstruct a tensor of indices from the slices
+    stacked = np.stack(slice_indices, axis=0)
+    compressed.indices = np.moveaxis(stacked, 0, axis)
 
   return compressed
 
@@ -155,18 +174,34 @@ def _check_lut_compression(compression) -> spec.LookUpTableCompression:
   return compression[0]
 
 
-def _identify_compression_axis(tensor: model_facade._Tensor) -> int:
-  """Finds the axis along which to compress.
+def _identify_compression_axis(tensor: model_facade._Tensor) -> Optional[int]:
+  """Determines the axis along which to compress.
+
+  The axis along which to compress is inferred from the tensor's quantization
+  parameters.
+
+  Returns:
+    The axis along which to compress, or None to indicate one value table for
+    the entire tensor.
 
-  Use the quantization axis, else the NWHC channel dimension. If necessary,
-  an user-specified override could be added to the compression spec schema.
+  Raises:
+    CompressionError: If the axis cannot be determined.
   """
-  if tensor.quantization is not None:
-    axis = tensor.quantization.quantizedDimension
-  else:
-    axis = tensor.array.ndim - 1
+  q = tensor.quantization
+  if q is not None \
+      and q.scale is not None \
+      and q.quantizedDimension < len(tensor.shape):
+    quantization_channels = len(q.scale)
+    if quantization_channels == 1:
+      # Use one value table for the entire tensor
+      return None
+
+    if quantization_channels == tensor.shape[q.quantizedDimension]:
+      return q.quantizedDimension
 
-  return axis
+  raise CompressionError(
+      f"Invalid or no quanitzation parameters from which to "
+      f"infer the axis along which tensor should be compressed.")
 
 
 def _check_bitwidth(compressed: int, specified: int, spec: spec.Tensor):
@@ -204,7 +239,7 @@ def _pack_lookup_tables(tables: list[np.ndarray], table_len: int) -> bytearray:
 
   Pack the value tables of a LutCompressedArray into a bytes object in the
   format writable to a value_table buffer in the .tflite flatbuffer. The
-  tables, one per subarray, are concatinated.
+  tables are concatinated.
   """
   buffer = bytearray()
   for t in tables:
diff --git a/tensorflow/lite/micro/compression/compress_test.py b/tensorflow/lite/micro/compression/compress_test.py
index 4c9d2fa3d01..1167c421f6e 100644
--- a/tensorflow/lite/micro/compression/compress_test.py
+++ b/tensorflow/lite/micro/compression/compress_test.py
@@ -200,31 +200,61 @@ def test_multiple_tables_with_padding(self):
                     "shape": (16, 1),
                     "type": tflite.TensorType.UINT8,
                     "buffer": 1,
+                    "quantization": {
+                        "quantized_dimension": 1,
+                        "scale": (1,),
+                        "zero_point": (0,),
+                    },
                 },
                 1: {
                     "shape": (16, 1),
                     "type": tflite.TensorType.INT8,
                     "buffer": 2,
+                    "quantization": {
+                        "quantized_dimension": 1,
+                        "scale": (1,),
+                        "zero_point": (0,),
+                    },
                 },
                 2: {
                     "shape": (16, 1),
                     "type": tflite.TensorType.INT16,
                     "buffer": 3,
+                    "quantization": {
+                        "quantized_dimension": 1,
+                        "scale": (1,),
+                        "zero_point": (0,),
+                    },
                 },
                 3: {
                     "shape": (16, 1),
                     "type": tflite.TensorType.INT32,
                     "buffer": 4,
+                    "quantization": {
+                        "quantized_dimension": 1,
+                        "scale": (1,),
+                        "zero_point": (0,),
+                    },
                 },
                 4: {
                     "shape": (16, 1),
                     "type": tflite.TensorType.INT32,
                     "buffer": 5,
+                    "quantization": {
+                        "quantized_dimension": 1,
+                        "scale": (1,),
+                        "zero_point": (0,),
+                    },
                 },
                 5: {
                     "shape": (4, 5),
                     "type": tflite.TensorType.INT16,
                     "buffer": 6,
+                    "quantization": {
+                        "quantized_dimension": 1,
+                        "scale": (1, 1, 1, 1, 1),
+                        "zero_point": (0, 0, 0, 0, 0),
+                    },
                 },
                 6: {
                     "shape": (5, 4),
@@ -232,8 +262,25 @@ def test_multiple_tables_with_padding(self):
                     "buffer": 7,
                     "quantization": {
                         "quantized_dimension": 0,
+                        "scale": (1, 1, 1, 1, 1),
+                        "zero_point": (0, 0, 0, 0, 0),
                     },
                 },
+                7: {
+                    "shape": (5, 4),
+                    "type": tflite.TensorType.INT16,
+                    "buffer": 8,
+                    "quantization": {
+                        "quantized_dimension": 0,
+                        "scale": (1,),
+                        "zero_point": (0,),
+                    },
+                },
+                8: {
+                    "shape": (16, 1),
+                    "type": tflite.TensorType.UINT8,
+                    "buffer": 9,
+                },
             },
         },
     },
@@ -260,6 +307,14 @@ def test_multiple_tables_with_padding(self):
                      (9,  10, 11, 12),
                      (13, 14, 15, 16),
                      (17, 18, 19, 20)), dtype=np.dtype("<i2")),
+
+        8: np.array(((1, 2, 3, 4),
+                     (1, 2, 3, 4),
+                     (1, 2, 3, 4),
+                     (1, 2, 3, 4),
+                     (1, 2, 3, 4)), dtype=np.dtype("<i2")),
+
+        9: np.array(range(16), dtype=np.dtype("<u1")),
     },
 }
 
@@ -297,6 +352,11 @@ def test_multiple_tables_with_padding(self):
         tensor=6,
         compression=[spec.LookUpTableCompression(index_bitwidth=2)],
     ),
+    spec.Tensor(  # spec 6
+        subgraph=0,
+        tensor=7,
+        compression=[spec.LookUpTableCompression(index_bitwidth=2)],
+    ),
 ]
 # yapf: enable
 
@@ -362,6 +422,18 @@ def test_invalid_tensor_spec(self):
     self.assertRaises(compress.CompressionError,
                       lambda: compress.compress(self.flatbuffer, specs))
 
+  def test_no_axis(self):
+    """Raises if no quantization from which to infer compression axis."""
+    specs = [
+        spec.Tensor(
+            subgraph=0,
+            tensor=8,
+            compression=[spec.LookUpTableCompression(index_bitwidth=4)],
+        ),
+    ]
+    self.assertRaises(compress.CompressionError,
+                      lambda: compress.compress(self.flatbuffer, specs))
+
 
 class TestLutCompressedArray(tf.test.TestCase):
 
@@ -519,8 +591,8 @@ def test_compressed_int32(self):
     expected_values = np.array(range(-160_016, -160_000), dtype="<i4")
     self.assertAllEqual(values, expected_values)
 
-  def test_channel_axis(self):
-    """Compression along the NWHC channel axis when no quanitzation axis."""
+  def test_axis_1(self):
+    """Compression along quanitzation_dimension == 1."""
     bitwidth, indices, values = self._get_compressed(subgraph=0, tensor=5)
     self.assertEqual(bitwidth, 2)
 
@@ -537,8 +609,8 @@ def test_channel_axis(self):
     expected_values = np.array(range(1, 21), dtype=np.dtype("<i2"))
     self.assertAllEqual(values, expected_values)
 
-  def test_quantization_axis(self):
-    """Compression along the quanitzation axis."""
+  def test_axis_0(self):
+    """Compression along quanitzation_dimension == 0."""
     bitwidth, indices, values = self._get_compressed(subgraph=0, tensor=6)
     self.assertEqual(bitwidth, 2)
 
@@ -556,6 +628,25 @@ def test_quantization_axis(self):
     expected_values = np.array(range(1, 21), dtype=np.dtype("<i2"))
     self.assertAllEqual(values, expected_values)
 
+  def test_per_tensor(self):
+    """Compression with one value table per tensor."""
+    bitwidth, indices, values = self._get_compressed(subgraph=0, tensor=7)
+    self.assertEqual(bitwidth, 2)
+
+    # yapf: disable
+    expected_indices = self._make_indices("""
+      00 01 10 11
+      00 01 10 11
+      00 01 10 11
+      00 01 10 11
+      00 01 10 11
+    """)
+    # yapf: enable
+    self.assertEqual(indices, expected_indices)
+
+    expected_values = np.array(range(1, 5), dtype=np.dtype("<i2"))
+    self.assertAllEqual(values, expected_values)
+
 
 if __name__ == "__main__":
   tf.test.main()
diff --git a/tensorflow/lite/micro/compression/test_models.py b/tensorflow/lite/micro/compression/test_models.py
index b2e79cbd02d..80286d17359 100644
--- a/tensorflow/lite/micro/compression/test_models.py
+++ b/tensorflow/lite/micro/compression/test_models.py
@@ -157,12 +157,14 @@ def build(model_definition: dict) -> bytearray:
       tensor_t.type = tensor["type"]
       tensor_t.buffer = tensor["buffer"]
 
-      try:
-        d = tensor["quantization"]["quantized_dimension"]
+      if "quantization" in tensor:
         tensor_t.quantization = tflite.QuantizationParametersT()
-        tensor_t.quantization.quantizedDimension = d
-      except KeyError:
-        tensor_t.quantization = None
+        tensor_t.quantization.quantizedDimension = \
+            tensor["quantization"].get("quantized_dimension", None)
+        tensor_t.quantization.scale = \
+            tensor["quantization"].get("scale", None)
+        tensor_t.quantization.zeroPoint = \
+            tensor["quantization"].get("zero_point", None)
 
       subgraph_t.tensors.append(tensor_t)