diff --git a/docs/source/_rst/callback/linear_weight_update_callback.rst b/docs/source/_rst/callback/linear_weight_update_callback.rst
deleted file mode 100644
index fe45b56..0000000
--- a/docs/source/_rst/callback/linear_weight_update_callback.rst
+++ /dev/null
@@ -1,7 +0,0 @@
-Weighting callbacks
-========================
-
-.. currentmodule:: pina.callback.linear_weight_update_callback
-.. autoclass:: LinearWeightUpdate
-   :members:
-   :show-inheritance:
\ No newline at end of file
diff --git a/pina/callback/__init__.py b/pina/callback/__init__.py
index dc1164e..e9a70ea 100644
--- a/pina/callback/__init__.py
+++ b/pina/callback/__init__.py
@@ -4,11 +4,9 @@ __all__ = [
     "SwitchOptimizer",
     "MetricTracker",
     "PINAProgressBar",
-    "LinearWeightUpdate",
     "R3Refinement",
 ]
 
 from .optimizer_callback import SwitchOptimizer
 from .processing_callback import MetricTracker, PINAProgressBar
-from .linear_weight_update_callback import LinearWeightUpdate
 from .refinement import R3Refinement
diff --git a/pina/callback/linear_weight_update_callback.py b/pina/callback/linear_weight_update_callback.py
deleted file mode 100644
index ae25ca1..0000000
--- a/pina/callback/linear_weight_update_callback.py
+++ /dev/null
@@ -1,87 +0,0 @@
-"""Module for the LinearWeightUpdate callback."""
-
-import warnings
-from lightning.pytorch.callbacks import Callback
-from ..utils import check_consistency
-from ..loss import ScalarWeighting
-
-
-class LinearWeightUpdate(Callback):
-    """
-    Callback to linearly adjust the weight of a condition from an
-    initial value to a target value over a specified number of epochs.
-    """
-
-    def __init__(
-        self, target_epoch, condition_name, initial_value, target_value
-    ):
-        """
-        Callback initialization.
-
-        :param int target_epoch: The epoch at which the weight of the condition
-            should reach the target value.
-        :param str condition_name: The name of the condition whose weight
-            should be adjusted.
-        :param float initial_value: The initial value of the weight.
-        :param float target_value: The target value of the weight.
-        """
-        super().__init__()
-        self.target_epoch = target_epoch
-        self.condition_name = condition_name
-        self.initial_value = initial_value
-        self.target_value = target_value
-
-        # Check consistency
-        check_consistency(self.target_epoch, int, subclass=False)
-        check_consistency(self.condition_name, str, subclass=False)
-        check_consistency(self.initial_value, (float, int), subclass=False)
-        check_consistency(self.target_value, (float, int), subclass=False)
-
-    def on_train_start(self, trainer, pl_module):
-        """
-        Initialize the weight of the condition to the specified `initial_value`.
-
-        :param Trainer trainer: A :class:`~pina.trainer.Trainer` instance.
-        :param SolverInterface pl_module: A
-            :class:`~pina.solver.solver.SolverInterface` instance.
-        """
-        # Check that the target epoch is valid
-        if not 0 < self.target_epoch <= trainer.max_epochs:
-            raise ValueError(
-                "`target_epoch` must be greater than 0"
-                " and less than or equal to `max_epochs`."
-            )
-
-        # Check that the condition is a problem condition
-        if self.condition_name not in pl_module.problem.conditions:
-            raise ValueError(
-                f"`{self.condition_name}` must be a problem condition."
-            )
-
-        # Check that the initial value is not equal to the target value
-        if self.initial_value == self.target_value:
-            warnings.warn(
-                "`initial_value` is equal to `target_value`. "
-                "No effective adjustment will be performed.",
-                UserWarning,
-            )
-
-        # Check that the weighting schema is ScalarWeighting
-        if not isinstance(pl_module.weighting, ScalarWeighting):
-            raise ValueError("The weighting schema must be ScalarWeighting.")
-
-        # Initialize the weight of the condition
-        pl_module.weighting.weights[self.condition_name] = self.initial_value
-
-    def on_train_epoch_start(self, trainer, pl_module):
-        """
-        Adjust at each epoch the weight of the condition.
-
-        :param Trainer trainer: A :class:`~pina.trainer.Trainer` instance.
-        :param SolverInterface pl_module: A
-            :class:`~pina.solver.solver.SolverInterface` instance.
-        """
-        if 0 < trainer.current_epoch <= self.target_epoch:
-            pl_module.weighting.weights[self.condition_name] += (
-                self.target_value - self.initial_value
-            ) / (self.target_epoch - 1)
diff --git a/pina/loss/ntk_weighting.py b/pina/loss/ntk_weighting.py
index 6149f23..b888126 100644
--- a/pina/loss/ntk_weighting.py
+++ b/pina/loss/ntk_weighting.py
@@ -2,7 +2,7 @@
 
 import torch
 from .weighting_interface import WeightingInterface
-from ..utils import check_consistency
+from ..utils import check_consistency, in_range
 
 
 class NeuralTangentKernelWeighting(WeightingInterface):
@@ -20,32 +20,34 @@ class NeuralTangentKernelWeighting(WeightingInterface):
 
     """
 
-    def __init__(self, alpha=0.5):
+    def __init__(self, update_every_n_epochs=1, alpha=0.5):
         """
         Initialization of the :class:`NeuralTangentKernelWeighting` class.
 
+        :param int update_every_n_epochs: The number of training epochs between
+            weight updates. If set to 1, the weights are updated at every epoch.
+            Default is 1.
         :param float alpha: The alpha parameter.
         :raises ValueError: If ``alpha`` is not between 0 and 1 (inclusive).
         """
-        super().__init__()
+        super().__init__(update_every_n_epochs=update_every_n_epochs)
 
         # Check consistency
         check_consistency(alpha, float)
-        if alpha < 0 or alpha > 1:
-            raise ValueError("alpha should be a value between 0 and 1")
+        if not in_range(alpha, [0, 1], strict=False):
+            raise ValueError("alpha must be in range (0, 1).")
 
         # Initialize parameters
         self.alpha = alpha
         self.weights = {}
-        self.default_value_weights = 1.0
 
-    def aggregate(self, losses):
+    def weights_update(self, losses):
         """
-        Weight the losses according to the Neural Tangent Kernel algorithm.
+        Update the weighting scheme based on the given losses.
 
-        :param dict(torch.Tensor) input: The dictionary of losses.
-        :return: The aggregation of the losses. It should be a scalar Tensor.
-        :rtype: torch.Tensor
+        :param dict losses: The dictionary of losses.
+        :return: The updated weights.
+        :rtype: dict
         """
         # Define a dictionary to store the norms of the gradients
         losses_norm = {}
@@ -60,14 +62,10 @@ class NeuralTangentKernelWeighting(WeightingInterface):
 
         # Update the weights
         self.weights = {
-            condition: self.alpha
-            * self.weights.get(condition, self.default_value_weights)
+            condition: self.alpha * self.weights.get(condition, 1)
             + (1 - self.alpha)
             * losses_norm[condition]
             / sum(losses_norm.values())
             for condition in losses
         }
-
-        return sum(
-            self.weights[condition] * loss for condition, loss in losses.items()
-        )
+        return self.weights
diff --git a/pina/loss/scalar_weighting.py b/pina/loss/scalar_weighting.py
index c10b574..d770c89 100644
--- a/pina/loss/scalar_weighting.py
+++ b/pina/loss/scalar_weighting.py
@@ -4,22 +4,6 @@ from .weighting_interface import WeightingInterface
 from ..utils import check_consistency
 
 
-class _NoWeighting(WeightingInterface):
-    """
-    Weighting scheme that does not apply any weighting to the losses.
-    """
-
-    def aggregate(self, losses):
-        """
-        Aggregate the losses.
-
-        :param dict losses: The dictionary of losses.
-        :return: The aggregated losses.
-        :rtype: torch.Tensor
-        """
-        return sum(losses.values())
-
-
 class ScalarWeighting(WeightingInterface):
     """
     Weighting scheme that assigns a scalar weight to each loss term.
@@ -36,28 +20,42 @@ class ScalarWeighting(WeightingInterface):
             dictionary, the default value is used.
         :type weights: float | int | dict
         """
-        super().__init__()
+        super().__init__(update_every_n_epochs=1, aggregator="sum")
 
         # Check consistency
         check_consistency([weights], (float, dict, int))
 
-        # Weights initialization
-        if isinstance(weights, (float, int)):
+        # Initialization
+        if isinstance(weights, dict):
+            self.values = weights
+            self.default_value_weights = 1
+        elif isinstance(weights, (float, int)):
+            self.values = {}
             self.default_value_weights = weights
-            self.weights = {}
         else:
-            self.default_value_weights = 1.0
-            self.weights = weights
+            raise ValueError
 
-    def aggregate(self, losses):
+    def weights_update(self, losses):
         """
-        Aggregate the losses.
+        Update the weighting scheme based on the given losses.
 
         :param dict losses: The dictionary of losses.
-        :return: The aggregated losses.
-        :rtype: torch.Tensor
+        :return: The updated weights.
+        :rtype: dict
         """
-        return sum(
-            self.weights.get(condition, self.default_value_weights) * loss
-            for condition, loss in losses.items()
-        )
+        return {
+            condition: self.values.get(condition, self.default_value_weights)
+            for condition in losses.keys()
+        }
+
+
+class _NoWeighting(ScalarWeighting):
+    """
+    Weighting scheme that does not apply any weighting to the losses.
+    """
+
+    def __init__(self):
+        """
+        Initialization of the :class:`_NoWeighting` class.
+        """
+        super().__init__(weights=1)
diff --git a/pina/loss/self_adaptive_weighting.py b/pina/loss/self_adaptive_weighting.py
index 8533078..62196c5 100644
--- a/pina/loss/self_adaptive_weighting.py
+++ b/pina/loss/self_adaptive_weighting.py
@@ -2,7 +2,6 @@
 
 import torch
 from .weighting_interface import WeightingInterface
-from ..utils import check_positive_integer
 
 
 class SelfAdaptiveWeighting(WeightingInterface):
@@ -22,59 +21,37 @@ class SelfAdaptiveWeighting(WeightingInterface):
 
     """
 
-    def __init__(self, k=100):
+    def __init__(self, update_every_n_epochs=1):
         """
         Initialization of the :class:`SelfAdaptiveWeighting` class.
 
-        :param int k: The number of epochs after which the weights are updated.
-            Default is 100.
-
-        :raises ValueError: If ``k`` is not a positive integer.
+        :param int update_every_n_epochs: The number of training epochs between
+            weight updates. If set to 1, the weights are updated at every epoch.
+            Default is 1.
         """
-        super().__init__()
+        super().__init__(update_every_n_epochs=update_every_n_epochs)
 
-        # Check consistency
-        check_positive_integer(value=k, strict=True)
-
-        # Initialize parameters
-        self.k = k
-        self.weights = {}
-        self.default_value_weights = 1.0
-
-    def aggregate(self, losses):
+    def weights_update(self, losses):
         """
-        Weight the losses according to the self-adaptive algorithm.
+        Update the weighting scheme based on the given losses.
 
-        :param dict(torch.Tensor) losses: The dictionary of losses.
-        :return: The aggregation of the losses. It should be a scalar Tensor.
-        :rtype: torch.Tensor
+        :param dict losses: The dictionary of losses.
+        :return: The updated weights.
+        :rtype: dict
         """
-        # If weights have not been initialized, set them to 1
-        if not self.weights:
-            self.weights = {
-                condition: self.default_value_weights for condition in losses
-            }
+        # Define a dictionary to store the norms of the gradients
+        losses_norm = {}
 
-        # Update every k epochs
-        if self.solver.trainer.current_epoch % self.k == 0:
+        # Compute the gradient norms for each loss component
+        for condition, loss in losses.items():
+            loss.backward(retain_graph=True)
+            grads = torch.cat(
+                [p.grad.flatten() for p in self.solver.model.parameters()]
+            )
+            losses_norm[condition] = grads.norm()
 
-            # Define a dictionary to store the norms of the gradients
-            losses_norm = {}
-
-            # Compute the gradient norms for each loss component
-            for condition, loss in losses.items():
-                loss.backward(retain_graph=True)
-                grads = torch.cat(
-                    [p.grad.flatten() for p in self.solver.model.parameters()]
-                )
-                losses_norm[condition] = grads.norm()
-
-            # Update the weights
-            self.weights = {
-                condition: sum(losses_norm.values()) / losses_norm[condition]
-                for condition in losses
-            }
-
-        return sum(
-            self.weights[condition] * loss for condition, loss in losses.items()
-        )
+        # Update the weights
+        return {
+            condition: sum(losses_norm.values()) / losses_norm[condition]
+            for condition in losses
+        }
diff --git a/pina/loss/weighting_interface.py b/pina/loss/weighting_interface.py
index 567d493..bc34c31 100644
--- a/pina/loss/weighting_interface.py
+++ b/pina/loss/weighting_interface.py
@@ -1,6 +1,10 @@
 """Module for the Weighting Interface."""
 
 from abc import ABCMeta, abstractmethod
+from typing import final
+from ..utils import check_positive_integer, is_function
+
+_AGGREGATE_METHODS = {"sum": sum, "mean": lambda x: sum(x) / len(x)}
 
 
 class WeightingInterface(metaclass=ABCMeta):
@@ -9,20 +13,93 @@ class WeightingInterface(metaclass=ABCMeta):
     should inherit from this class.
     """
 
-    def __init__(self):
+    def __init__(self, update_every_n_epochs=1, aggregator="sum"):
         """
         Initialization of the :class:`WeightingInterface` class.
+
+        :param int update_every_n_epochs: The number of training epochs between
+            weight updates. If set to 1, the weights are updated at every epoch.
+            This parameter is ignored by static weighting schemes. Default is 1.
+        :param aggregator: The aggregation method. Either:
+            - 'sum' → torch.sum
+            - 'mean' → torch.mean
+            - callable → custom aggregation function
+        :type aggregator: str | Callable
         """
+        # Check consistency
+        check_positive_integer(value=update_every_n_epochs, strict=True)
+
+        # Aggregation
+        if isinstance(aggregator, str):
+            if aggregator not in _AGGREGATE_METHODS:
+                raise ValueError(
+                    f"Invalid aggregator '{aggregator}'. Must be one of "
+                    f"{list(_AGGREGATE_METHODS.keys())}."
+                )
+            aggregator = _AGGREGATE_METHODS[aggregator]
+
+        elif not is_function(aggregator):
+            raise TypeError(
+                f"Aggregator must be either a string or a callable, "
+                f"got {type(aggregator).__name__}."
+            )
+
+        # Initialization
         self._solver = None
+        self.update_every_n_epochs = update_every_n_epochs
+        self.aggregator_fn = aggregator
+        self._saved_weights = {}
 
     @abstractmethod
-    def aggregate(self, losses):
+    def weights_update(self, losses):
         """
-        Aggregate the losses.
+        Update the weighting scheme based on the given losses.
+
+        This method must be implemented by subclasses. Its role is to update the
+        values of the weights. The updated weights will then be used by
+        :meth:`aggregate` to compute the final aggregated loss.
 
         :param dict losses: The dictionary of losses.
+        :return: The updated weights.
+        :rtype: dict
         """
 
+    @final
+    def aggregate(self, losses):
+        """
+        Update the weights (if needed) and aggregate the given losses.
+
+        This method first checks whether the loss weights need to be updated
+        based on the current epoch and the ``update_every_n_epochs`` setting.
+        If an update is required, it calls :meth:`weights_update` to refresh the
+        weights. Afterwards, it aggregates the (weighted) losses into a single
+        scalar tensor using the configured aggregator function. This method must
+        not be overridden.
+
+        :param dict losses: The dictionary of losses.
+        :return: The aggregated loss tensor.
+        :rtype: torch.Tensor
+        """
+        # Update weights
+        if self.solver.trainer.current_epoch % self.update_every_n_epochs == 0:
+            self._saved_weights = self.weights_update(losses)
+
+        # Aggregate. Using direct indexing instead of .get() ensures that a
+        # KeyError is raised if the expected condition is missing from the dict.
+        return self.aggregator_fn(
+            self._saved_weights[condition] * loss
+            for condition, loss in losses.items()
+        )
+
+    def last_saved_weights(self):
+        """
+        Get the last saved weights.
+
+        :return: The last saved weights.
+        :rtype: dict
+        """
+        return self._saved_weights
+
     @property
     def solver(self):
         """
diff --git a/pina/utils.py b/pina/utils.py
index ddbd2e8..2aafba1 100644
--- a/pina/utils.py
+++ b/pina/utils.py
@@ -240,3 +240,31 @@ def check_positive_integer(value, strict=True):
         assert (
             isinstance(value, int) and value >= 0
         ), f"Expected a non-negative integer, got {value}."
+
+
+def in_range(value, range_vals, strict=True):
+    """
+    Check if a value is within a specified range.
+
+    :param int value: The integer value to check.
+    :param list[int] range_vals: A list of two integers representing the range
+        limits. The first element specifies the lower bound, and the second
+        specifies the upper bound.
+    :param bool strict: If True, the value must be strictly positive.
+        Default is True.
+    :return: True if the value satisfies the range condition, False otherwise.
+    :rtype: bool
+    """
+    # Validate inputs
+    check_consistency(value, (float, int))
+    check_consistency(range_vals, (float, int))
+    assert (
+        isinstance(range_vals, list) and len(range_vals) == 2
+    ), "range_vals must be a list of two integers [lower, upper]"
+    lower, upper = range_vals
+
+    # Check the range
+    if strict:
+        return lower < value < upper
+
+    return lower <= value <= upper
diff --git a/tests/test_callback/test_linear_weight_update_callback.py b/tests/test_callback/test_linear_weight_update_callback.py
deleted file mode 100644
index c1f4cf3..0000000
--- a/tests/test_callback/test_linear_weight_update_callback.py
+++ /dev/null
@@ -1,164 +0,0 @@
-import pytest
-import math
-from pina.solver import PINN
-from pina.loss import ScalarWeighting
-from pina.trainer import Trainer
-from pina.model import FeedForward
-from pina.problem.zoo import Poisson2DSquareProblem as Poisson
-from pina.callback import LinearWeightUpdate
-
-
-# Define the problem
-poisson_problem = Poisson()
-poisson_problem.discretise_domain(50, "grid")
-cond_name = list(poisson_problem.conditions.keys())[0]
-
-# Define the model
-model = FeedForward(
-    input_dimensions=len(poisson_problem.input_variables),
-    output_dimensions=len(poisson_problem.output_variables),
-    layers=[32, 32],
-)
-
-# Define the weighting schema
-weights_dict = {key: 1 for key in poisson_problem.conditions.keys()}
-weighting = ScalarWeighting(weights=weights_dict)
-
-# Define the solver
-solver = PINN(problem=poisson_problem, model=model, weighting=weighting)
-
-# Value used for testing
-epochs = 10
-
-
-@pytest.mark.parametrize("initial_value", [1, 5.5])
-@pytest.mark.parametrize("target_value", [10, 25.5])
-def test_constructor(initial_value, target_value):
-    LinearWeightUpdate(
-        target_epoch=epochs,
-        condition_name=cond_name,
-        initial_value=initial_value,
-        target_value=target_value,
-    )
-
-    # Target_epoch must be int
-    with pytest.raises(ValueError):
-        LinearWeightUpdate(
-            target_epoch=10.0,
-            condition_name=cond_name,
-            initial_value=0,
-            target_value=1,
-        )
-
-    # Condition_name must be str
-    with pytest.raises(ValueError):
-        LinearWeightUpdate(
-            target_epoch=epochs,
-            condition_name=100,
-            initial_value=0,
-            target_value=1,
-        )
-
-    # Initial_value must be float or int
-    with pytest.raises(ValueError):
-        LinearWeightUpdate(
-            target_epoch=epochs,
-            condition_name=cond_name,
-            initial_value="0",
-            target_value=1,
-        )
-
-    # Target_value must be float or int
-    with pytest.raises(ValueError):
-        LinearWeightUpdate(
-            target_epoch=epochs,
-            condition_name=cond_name,
-            initial_value=0,
-            target_value="1",
-        )
-
-
-@pytest.mark.parametrize("initial_value, target_value", [(1, 10), (10, 1)])
-def test_training(initial_value, target_value):
-    callback = LinearWeightUpdate(
-        target_epoch=epochs,
-        condition_name=cond_name,
-        initial_value=initial_value,
-        target_value=target_value,
-    )
-    trainer = Trainer(
-        solver=solver,
-        callbacks=[callback],
-        accelerator="cpu",
-        max_epochs=epochs,
-    )
-    trainer.train()
-
-    # Check that the final weight value matches the target value
-    final_value = solver.weighting.weights[cond_name]
-    assert math.isclose(final_value, target_value)
-
-    # Target_epoch must be greater than 0
-    with pytest.raises(ValueError):
-        callback = LinearWeightUpdate(
-            target_epoch=0,
-            condition_name=cond_name,
-            initial_value=0,
-            target_value=1,
-        )
-        trainer = Trainer(
-            solver=solver,
-            callbacks=[callback],
-            accelerator="cpu",
-            max_epochs=5,
-        )
-        trainer.train()
-
-    # Target_epoch must be less than or equal to max_epochs
-    with pytest.raises(ValueError):
-        callback = LinearWeightUpdate(
-            target_epoch=epochs,
-            condition_name=cond_name,
-            initial_value=0,
-            target_value=1,
-        )
-        trainer = Trainer(
-            solver=solver,
-            callbacks=[callback],
-            accelerator="cpu",
-            max_epochs=epochs - 1,
-        )
-        trainer.train()
-
-    # Condition_name must be a problem condition
-    with pytest.raises(ValueError):
-        callback = LinearWeightUpdate(
-            target_epoch=epochs,
-            condition_name="not_a_condition",
-            initial_value=0,
-            target_value=1,
-        )
-        trainer = Trainer(
-            solver=solver,
-            callbacks=[callback],
-            accelerator="cpu",
-            max_epochs=epochs,
-        )
-        trainer.train()
-
-    # Weighting schema must be ScalarWeighting
-    with pytest.raises(ValueError):
-        callback = LinearWeightUpdate(
-            target_epoch=epochs,
-            condition_name=cond_name,
-            initial_value=0,
-            target_value=1,
-        )
-        unweighted_solver = PINN(problem=poisson_problem, model=model)
-        trainer = Trainer(
-            solver=unweighted_solver,
-            callbacks=[callback],
-            accelerator="cpu",
-            max_epochs=epochs,
-        )
-        trainer.train()
diff --git a/tests/test_weighting/test_ntk_weighting.py b/tests/test_weighting/test_ntk_weighting.py
index 236c498..49442b9 100644
--- a/tests/test_weighting/test_ntk_weighting.py
+++ b/tests/test_weighting/test_ntk_weighting.py
@@ -12,22 +12,42 @@ problem.discretise_domain(10)
 model = FeedForward(len(problem.input_variables), len(problem.output_variables))
 
 
+@pytest.mark.parametrize("update_every_n_epochs", [1, 10, 100, 1000])
 @pytest.mark.parametrize("alpha", [0.0, 0.5, 1.0])
-def test_constructor(alpha):
-    NeuralTangentKernelWeighting(alpha=alpha)
+def test_constructor(update_every_n_epochs, alpha):
+    NeuralTangentKernelWeighting(
+        update_every_n_epochs=update_every_n_epochs, alpha=alpha
+    )
 
     # Should fail if alpha is not >= 0
     with pytest.raises(ValueError):
-        NeuralTangentKernelWeighting(alpha=-0.1)
+        NeuralTangentKernelWeighting(
+            update_every_n_epochs=update_every_n_epochs, alpha=-0.1
+        )
 
     # Should fail if alpha is not <= 1
     with pytest.raises(ValueError):
         NeuralTangentKernelWeighting(alpha=1.1)
 
+    # Should fail if update_every_n_epochs is not an integer
+    with pytest.raises(AssertionError):
+        NeuralTangentKernelWeighting(update_every_n_epochs=1.5)
 
+    # Should fail if update_every_n_epochs is not > 0
+    with pytest.raises(AssertionError):
+        NeuralTangentKernelWeighting(update_every_n_epochs=0)
+
+    # Should fail if update_every_n_epochs is not > 0
+    with pytest.raises(AssertionError):
+        NeuralTangentKernelWeighting(update_every_n_epochs=-3)
+
+
+@pytest.mark.parametrize("update_every_n_epochs", [1, 3])
 @pytest.mark.parametrize("alpha", [0.0, 0.5, 1.0])
-def test_train_aggregation(alpha):
-    weighting = NeuralTangentKernelWeighting(alpha=alpha)
+def test_train_aggregation(update_every_n_epochs, alpha):
+    weighting = NeuralTangentKernelWeighting(
+        update_every_n_epochs=update_every_n_epochs, alpha=alpha
+    )
     solver = PINN(problem=problem, model=model, weighting=weighting)
     trainer = Trainer(solver=solver, max_epochs=5, accelerator="cpu")
     trainer.train()
diff --git a/tests/test_weighting/test_scalar_weighting.py b/tests/test_weighting/test_scalar_weighting.py
index 54b3293..bbf71af 100644
--- a/tests/test_weighting/test_scalar_weighting.py
+++ b/tests/test_weighting/test_scalar_weighting.py
@@ -29,20 +29,6 @@ def test_constructor(weights):
         ScalarWeighting(weights=[1, 2, 3])
 
 
-@pytest.mark.parametrize(
-    "weights", [1, 1.0, dict(zip(condition_names, [1] * len(condition_names)))]
-)
-def test_aggregate(weights):
-    weighting = ScalarWeighting(weights=weights)
-    losses = dict(
-        zip(
-            condition_names,
-            [torch.randn(1) for _ in range(len(condition_names))],
-        )
-    )
-    weighting.aggregate(losses=losses)
-
-
 @pytest.mark.parametrize(
     "weights", [1, 1.0, dict(zip(condition_names, [1] * len(condition_names)))]
 )
diff --git a/tests/test_weighting/test_self_adaptive_weighting.py b/tests/test_weighting/test_self_adaptive_weighting.py
index b82f545..066e885 100644
--- a/tests/test_weighting/test_self_adaptive_weighting.py
+++ b/tests/test_weighting/test_self_adaptive_weighting.py
@@ -12,26 +12,28 @@ problem.discretise_domain(10)
 model = FeedForward(len(problem.input_variables), len(problem.output_variables))
 
 
-@pytest.mark.parametrize("k", [10, 100, 1000])
-def test_constructor(k):
-    SelfAdaptiveWeighting(k=k)
+@pytest.mark.parametrize("update_every_n_epochs", [10, 100, 1000])
+def test_constructor(update_every_n_epochs):
+    SelfAdaptiveWeighting(update_every_n_epochs=update_every_n_epochs)
 
-    # Should fail if k is not an integer
+    # Should fail if update_every_n_epochs is not an integer
     with pytest.raises(AssertionError):
-        SelfAdaptiveWeighting(k=1.5)
+        SelfAdaptiveWeighting(update_every_n_epochs=1.5)
 
-    # Should fail if k is not > 0
+    # Should fail if update_every_n_epochs is not > 0
     with pytest.raises(AssertionError):
-        SelfAdaptiveWeighting(k=0)
+        SelfAdaptiveWeighting(update_every_n_epochs=0)
 
-    # Should fail if k is not > 0
+    # Should fail if update_every_n_epochs is not > 0
     with pytest.raises(AssertionError):
-        SelfAdaptiveWeighting(k=-3)
+        SelfAdaptiveWeighting(update_every_n_epochs=-3)
 
 
-@pytest.mark.parametrize("k", [2, 3])
-def test_train_aggregation(k):
-    weighting = SelfAdaptiveWeighting(k=k)
+@pytest.mark.parametrize("update_every_n_epochs", [1, 3])
+def test_train_aggregation(update_every_n_epochs):
+    weighting = SelfAdaptiveWeighting(
+        update_every_n_epochs=update_every_n_epochs
+    )
     solver = PINN(problem=problem, model=model, weighting=weighting)
     trainer = Trainer(solver=solver, max_epochs=5, accelerator="cpu")
     trainer.train()