diff --git a/datasets/flwr_datasets/partitioner/__init__.py b/datasets/flwr_datasets/partitioner/__init__.py
index d1eba7895702..83186a6d24ee 100644
--- a/datasets/flwr_datasets/partitioner/__init__.py
+++ b/datasets/flwr_datasets/partitioner/__init__.py
@@ -15,10 +15,18 @@
 """Flower Datasets Partitioner package."""
 
 
+from .exponential_partitioner import ExponentialPartitioner
 from .iid_partitioner import IidPartitioner
+from .linear_partitioner import LinearPartitioner
 from .partitioner import Partitioner
+from .size_partitioner import SizePartitioner
+from .square_partitioner import SquarePartitioner
 
 __all__ = [
     "IidPartitioner",
     "Partitioner",
+    "SizePartitioner",
+    "LinearPartitioner",
+    "SquarePartitioner",
+    "ExponentialPartitioner",
 ]
diff --git a/datasets/flwr_datasets/partitioner/exponential_partitioner.py b/datasets/flwr_datasets/partitioner/exponential_partitioner.py
new file mode 100644
index 000000000000..07bb07cea9a5
--- /dev/null
+++ b/datasets/flwr_datasets/partitioner/exponential_partitioner.py
@@ -0,0 +1,43 @@
+# Copyright 2023 Flower Labs GmbH. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+# ==============================================================================
+"""ExponentialPartitioner class."""
+
+
+import numpy as np
+
+from flwr_datasets.partitioner.size_partitioner import SizePartitioner
+
+
+class ExponentialPartitioner(SizePartitioner):
+    """Partitioner creates partitions of size that are correlated with exp(idx).
+
+    The amount of data each client gets is correlated with the exponent of partition ID.
+    For instance, if the IDs range from 1 to M, client with ID 1 gets e units of
+    data, client 2 gets e^2 units, and so on, up to client M which gets e^M units.
+    The floor operation is applied on each of these numbers, it means floor(2.71...)
+    = 2; e^2 ~ 7.39 floor(7.39) = 7. The number is rounded down = the fraction is
+    always cut. The remainders of theses unassigned (fraction) samples is added to the
+    biggest partition (the one with the biggest idx).
+
+    Parameters
+    ----------
+    num_partitions : int
+        The total number of partitions that the data will be divided into.
+    """
+
+    def __init__(self, num_partitions: int) -> None:
+        super().__init__(num_partitions=num_partitions, node_id_to_size_fn=np.exp)
+        if num_partitions <= 0:
+            raise ValueError("The number of partitions must be greater than zero.")
diff --git a/datasets/flwr_datasets/partitioner/linear_partitioner.py b/datasets/flwr_datasets/partitioner/linear_partitioner.py
new file mode 100644
index 000000000000..a9dc8b020c08
--- /dev/null
+++ b/datasets/flwr_datasets/partitioner/linear_partitioner.py
@@ -0,0 +1,37 @@
+# Copyright 2023 Flower Labs GmbH. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+# ==============================================================================
+"""LinearPartitioner class."""
+
+
+from flwr_datasets.partitioner.size_partitioner import SizePartitioner
+
+
+class LinearPartitioner(SizePartitioner):
+    """Partitioner creates partitions of size that are linearly correlated with idx.
+
+    The amount of data each client gets is linearly correlated with the partition ID.
+    For instance, if the IDs range from 1 to M, client with ID 1 gets 1 unit of data,
+    client 2 gets 2 units, and so on, up to client M which gets M units.
+
+    Parameters
+    ----------
+    num_partitions : int
+        The total number of partitions that the data will be divided into.
+    """
+
+    def __init__(self, num_partitions: int) -> None:
+        super().__init__(num_partitions=num_partitions, node_id_to_size_fn=lambda x: x)
+        if num_partitions <= 0:
+            raise ValueError("The number of partitions must be greater than zero.")
diff --git a/datasets/flwr_datasets/partitioner/size_partitioner.py b/datasets/flwr_datasets/partitioner/size_partitioner.py
new file mode 100644
index 000000000000..27e1f528dc52
--- /dev/null
+++ b/datasets/flwr_datasets/partitioner/size_partitioner.py
@@ -0,0 +1,139 @@
+# Copyright 2023 Flower Labs GmbH. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+# ==============================================================================
+"""SizePartitioner class."""
+
+
+from typing import Callable, Dict, List, Union
+
+import numpy as np
+
+import datasets
+from flwr_datasets.partitioner.partitioner import Partitioner
+
+
+class SizePartitioner(Partitioner):
+    """Base class for the deterministic size partitioning based on the `node_id`.
+
+    The client with `node_id` has the following relationship regarding the number of
+    samples.
+
+    `node_id_to_size_fn(node_id)` ~ number of samples for `node_id`
+
+    If the function doesn't transform the `node_id` it's a linear correlation between
+    the number of sample for the node and the value of `node_id`. For instance, if the
+    node ids range from 1 to M, node with id 1 gets 1 unit of data, client 2 gets 2
+    units, and so on, up to node M which gets M units.
+
+    Note that size corresponding to the `node_id` is deterministic, yet in case of
+    different dataset shuffling the assignment of samples to `node_id` will vary.
+
+    Parameters
+    ----------
+    num_partitions : int
+        The total number of partitions that the data will be divided into.
+    node_id_to_size_fn : Callable
+        Function that defines the relationship between node id and the number of
+        samples.
+    """
+
+    def __init__(
+        self,
+        num_partitions: int,
+        node_id_to_size_fn: Callable,  # type: ignore[type-arg]
+    ) -> None:
+        super().__init__()
+        if num_partitions <= 0:
+            raise ValueError("The number of partitions must be greater than zero.")
+        self._num_partitions = num_partitions
+        self._node_id_to_size_fn = node_id_to_size_fn
+
+        self._node_id_to_size: Dict[int, int] = {}
+        self._node_id_to_indices: Dict[int, List[int]] = {}
+        # A flag to perform only a single compute to determine the indices
+        self._node_id_to_indices_determined = False
+
+    def load_partition(self, idx: int) -> datasets.Dataset:
+        """Load a single partition based on the partition index.
+
+        For this partitioner the number of samples is dependent on the partition idx.
+
+        Parameters
+        ----------
+        idx : int
+            the index that corresponds to the requested partition
+
+        Returns
+        -------
+        dataset_partition: Dataset
+            single dataset partition
+        """
+        # The partitioning is done lazily - only when the first partition is requested.
+        # A single run creates the indices assignments for all the partition indices.
+        self._determine_node_id_to_indices_if_needed()
+        return self.dataset.select(self._node_id_to_indices[idx])
+
+    @property
+    def node_id_to_size(self) -> Dict[int, int]:
+        """Node id to the number of samples."""
+        return self._node_id_to_size
+
+    @property
+    def node_id_to_indices(self) -> Dict[int, List[int]]:
+        """Node id to the list of indices."""
+        return self._node_id_to_indices
+
+    def _determine_node_id_to_size(self) -> None:
+        """Determine data quantity associated with partition indices."""
+        data_division_in_units = self._node_id_to_size_fn(
+            np.linspace(start=1, stop=self._num_partitions, num=self._num_partitions)
+        )
+        total_units: Union[int, float] = data_division_in_units.sum()
+        # Normalize the units to get the fraction total dataset
+        partition_sizes_as_fraction = data_division_in_units / total_units
+        # Calculate the number of samples
+        partition_sizes_as_num_of_samples = np.array(
+            partition_sizes_as_fraction * len(self.dataset), dtype=np.int64
+        )
+        # Check if any sample is not allocated because of multiplication with fractions.
+        assigned_samples = np.sum(partition_sizes_as_num_of_samples)
+        left_unassigned_samples = len(self.dataset) - assigned_samples
+        # If there is any sample(s) left unassigned, assign it to the largest partition.
+        partition_sizes_as_num_of_samples[-1] += left_unassigned_samples
+        for idx, partition_size in enumerate(partition_sizes_as_num_of_samples):
+            self._node_id_to_size[idx] = partition_size
+
+        self._check_if_node_id_to_size_possible()
+
+    def _determine_node_id_to_indices_if_needed(self) -> None:
+        """Create an assignment of indices to the partition indices.."""
+        if self._node_id_to_indices_determined is True:
+            return
+        self._determine_node_id_to_size()
+        total_samples_assigned = 0
+        for idx, quantity in self._node_id_to_size.items():
+            self._node_id_to_indices[idx] = list(
+                range(total_samples_assigned, total_samples_assigned + quantity)
+            )
+            total_samples_assigned += quantity
+        self._node_id_to_indices_determined = True
+
+    def _check_if_node_id_to_size_possible(self) -> None:
+        all_positive = all(value >= 1 for value in self.node_id_to_size.values())
+        if not all_positive:
+            raise ValueError(
+                f"The given specification of the parameter num_partitions"
+                f"={self._num_partitions} for the given dataset results "
+                f"in the partitions sizes that are not greater than 0."
+            )
diff --git a/datasets/flwr_datasets/partitioner/size_partitioner_test.py b/datasets/flwr_datasets/partitioner/size_partitioner_test.py
new file mode 100644
index 000000000000..390f6a613fce
--- /dev/null
+++ b/datasets/flwr_datasets/partitioner/size_partitioner_test.py
@@ -0,0 +1,104 @@
+# Copyright 2023 Flower Labs GmbH. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+# ==============================================================================
+"""SizePartitioner tests."""
+
+
+import unittest
+
+from parameterized import parameterized
+
+from datasets import Dataset
+from flwr_datasets.partitioner.linear_partitioner import LinearPartitioner
+
+
+def _dummy_dataset(num_rows: int) -> Dataset:
+    data = {
+        "features": list(range(num_rows)),
+        "labels": [i % 2 for i in range(num_rows)],
+    }
+    dataset = Dataset.from_dict(data)
+    return dataset
+
+
+class TestLinearPartitioner(unittest.TestCase):
+    """Test LinearPartitioner."""
+
+    @parameterized.expand(  # type: ignore
+        [
+            (1, 100),
+            (10, 100),
+            (5, 55),  # This will leave some undivided samples
+        ]
+    )
+    def test_linear_distribution(self, num_partitions: int, num_rows: int) -> None:
+        """Test the linear distribution of samples."""
+        dataset = _dummy_dataset(num_rows)
+        partitioner = LinearPartitioner(num_partitions=num_partitions)
+        partitioner.dataset = dataset
+        # Run a single partition loading to trigger the division
+        _ = partitioner.load_partition(0)
+        total_samples = sum(partitioner.node_id_to_size.values())
+        self.assertEqual(total_samples, num_rows)
+
+        # Testing if each partition is getting more than the previous one
+        last_count = 0
+        for i in range(num_partitions):
+            current_count = partitioner.node_id_to_size[i]
+            self.assertGreaterEqual(current_count, last_count)
+            last_count = current_count
+
+    @parameterized.expand(  # type: ignore
+        [
+            (10, 100),
+            (5, 55),  # This will leave some undivided samples
+            (7, 77),  # This will leave some undivided samples
+        ]
+    )
+    def test_undivided_samples(self, num_partitions: int, num_rows: int) -> None:
+        """Test the logic for distributing undivided samples."""
+        dataset = _dummy_dataset(num_rows)
+        partitioner = LinearPartitioner(num_partitions=num_partitions)
+        partitioner.dataset = dataset
+        # If there are any undivided samples, they should be added to the largest
+        # partition
+        last_partition_id = num_partitions - 1
+        actual_samples_in_last_partition = len(
+            partitioner.load_partition(last_partition_id)
+        )
+        expected_samples_in_last_partition = partitioner.node_id_to_size[
+            last_partition_id
+        ]
+        self.assertEqual(
+            expected_samples_in_last_partition, actual_samples_in_last_partition
+        )
+
+    def test_meaningless_params(self) -> None:
+        """Test if the params leading to partition size not greater than zero raises."""
+        num_rows = 10
+        num_partitions = 100
+        dataset = _dummy_dataset(num_rows)
+        partitioner = LinearPartitioner(num_partitions=num_partitions)
+        partitioner.dataset = dataset
+        with self.assertRaises(ValueError) as context:
+            partitioner.load_partition(1)
+        self.assertIn(
+            "The given specification of the parameter num_partitions=100 for the given "
+            "dataset results in the partitions sizes that are not greater than 0.",
+            str(context.exception),
+        )
+
+
+if __name__ == "__main__":
+    unittest.main()
diff --git a/datasets/flwr_datasets/partitioner/square_partitioner.py b/datasets/flwr_datasets/partitioner/square_partitioner.py
new file mode 100644
index 000000000000..25affaf304ef
--- /dev/null
+++ b/datasets/flwr_datasets/partitioner/square_partitioner.py
@@ -0,0 +1,39 @@
+# Copyright 2023 Flower Labs GmbH. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+# ==============================================================================
+"""SquarePartitioner class."""
+
+
+import numpy as np
+
+from flwr_datasets.partitioner.size_partitioner import SizePartitioner
+
+
+class SquarePartitioner(SizePartitioner):
+    """Partitioner creates partitions of size that are correlated with squared idx.
+
+    The amount of data each client gets is correlated with the squared partition ID.
+    For instance, if the IDs range from 1 to M, client with ID 1 gets 1 unit of data,
+    client 2 gets 4 units, and so on, up to client M which gets M^2 units.
+
+    Parameters
+    ----------
+    num_partitions : int
+        The total number of partitions that the data will be divided into.
+    """
+
+    def __init__(self, num_partitions: int) -> None:
+        super().__init__(num_partitions=num_partitions, node_id_to_size_fn=np.square)
+        if num_partitions <= 0:
+            raise ValueError("The number of partitions must be greater than zero.")