diff --git a/.github/pull_request_template.md b/.github/pull_request_template.md
index 6bca22c6f..143ba3c2a 100644
--- a/.github/pull_request_template.md
+++ b/.github/pull_request_template.md
@@ -1,14 +1,6 @@
-## Type of changes
-
-- [ ] Bug fix
-- [ ] New feature
-- [ ] Documentation / docstrings
-- [ ] Tests
-- [ ] Other
-
 ## Checklist
 
-- [ ] I've formatted the new code by running `poetry run pre-commit run --all-files --show-diff-on-failure` before committing.
+- [ ] I've formatted the new code by running `hatch run dev:format` before committing.
 - [ ] I've added tests for new code.
 - [ ] I've added docstrings for the new code.
 
diff --git a/.github/workflows/build_docs.yml b/.github/workflows/build_docs.yml
index 92c65c5f8..58e1dab1f 100644
--- a/.github/workflows/build_docs.yml
+++ b/.github/workflows/build_docs.yml
@@ -46,20 +46,15 @@ jobs:
       - name: Install KaTeX
         run: |
           npm install katex
-      # Install Poetry and build the documentation
-      - name: Install and configure Poetry
-        uses: snok/install-poetry@v1
-        with:
-          version: 1.5.1
-          virtualenvs-create: false
-          virtualenvs-in-project: false
-          installer-parallel: true
+
+      # Install Hatch
+      - name: Install Hatch
+        uses: pypa/hatch@install
 
       - name: Build the documentation with MKDocs
         run: |
-          poetry install --all-extras --with docs
           conda install pandoc
-          poetry run python docs/scripts/gen_examples.py --execute && poetry run mkdocs build
+          hatch run docs:build
 
       - name: Deploy Page 🚀
         uses: JamesIves/github-pages-deploy-action@v4.4.1
diff --git a/.github/workflows/integration.yml b/.github/workflows/integration.yml
index 5aa90b148..7601a73bf 100644
--- a/.github/workflows/integration.yml
+++ b/.github/workflows/integration.yml
@@ -25,22 +25,10 @@ jobs:
         with:
           python-version: ${{ matrix.python-version }}
 
-      # Install Poetry
-      - name: Install Poetry
-        uses: snok/install-poetry@v1.3.3
-        with:
-          version: 1.5.1
-
-      # Configure Poetry to use the virtual environment in the project
-      - name: Setup Poetry
-        run: |
-          poetry config virtualenvs.in-project true
-
-      # Install the dependencies
-      - name: Install Package
-        run: |
-          poetry install --with docs
+      # Install Hatch
+      - name: Install Hatch
+        uses: pypa/hatch@install
 
       # Run the unit tests and build the coverage report
       - name: Run Integration Tests
-        run: poetry run python tests/integration_tests.py
+        run: hatch run docs:integration
diff --git a/.github/workflows/test_docs.yml b/.github/workflows/test_docs.yml
index 129de0e39..2435843c0 100644
--- a/.github/workflows/test_docs.yml
+++ b/.github/workflows/test_docs.yml
@@ -33,17 +33,11 @@ jobs:
           auto-update-conda: true
           python-version: ${{ matrix.python-version }}
 
-      # Install Poetry and build the documentation
-      - name: Install and configure Poetry
-        uses: snok/install-poetry@v1
-        with:
-          version: 1.5.1
-          virtualenvs-create: false
-          virtualenvs-in-project: false
-          installer-parallel: true
+      # Install Hatch
+      - name: Install Hatch
+        uses: pypa/hatch@install
 
       - name: Build the documentation with MKDocs
         run: |
-          poetry install --all-extras --with docs
           conda install pandoc
-          poetry run python docs/scripts/gen_examples.py --execute && poetry run mkdocs build
+          hatch run docs:build
diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 967896bf5..b61355c3c 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -25,32 +25,18 @@ jobs:
         with:
           python-version: ${{ matrix.python-version }}
 
-      # Install Poetry
-      - name: Install and configure Poetry
-        uses: snok/install-poetry@v1
-        with:
-          version: 1.5.1
-          virtualenvs-create: false
-          virtualenvs-in-project: false
-          installer-parallel: true
-
-      # Configure Poetry to use the virtual environment in the project
-      - name: Setup Poetry
-        run: |
-          poetry config virtualenvs.in-project true
+      # Install Hatch
+      - name: Install Hatch
+        uses: pypa/hatch@install
 
       # Install the dependencies
-      - name: Install Package
-        run: |
-          poetry install --with dev
-
       - name: Check docstrings
         run: |
-          poetry run xdoctest ./gpjax
+          hatch run dev:docstrings
 
       # Run the unit tests and build the coverage report
       - name: Run Tests
-        run: poetry run pytest -v --cov=./gpjax --cov-report=xml:./coverage.xml
+        run: hatch run dev:coverage
 
       - name: Upload code coverage
         uses: codecov/codecov-action@v3
diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
deleted file mode 100644
index 958818a7c..000000000
--- a/.pre-commit-config.yaml
+++ /dev/null
@@ -1,59 +0,0 @@
-minimum_pre_commit_version: 2.15.0
-ci:
-  autofix_prs: false
-repos:
-  - repo: https://github.com/psf/black
-    rev: 23.3.0
-    hooks:
-    - id: black
-  - repo: https://github.com/pre-commit/pre-commit-hooks
-    rev: v4.4.0
-    hooks:
-      - id: trailing-whitespace
-      - id: end-of-file-fixer
-        exclude_types: [json, binary]
-  - repo: https://github.com/codespell-project/codespell
-    rev: v2.2.2
-    hooks:
-    -   id: codespell
-        types_or: [python, markdown]
-        additional_dependencies: [tomli]
-  - repo: https://github.com/PyCQA/isort
-    rev: 5.12.0
-    hooks:
-    -   id: isort
-        exclude: examples/
-  - repo: local
-    hooks:
-      - id: commitizen
-        name: commitizen
-        entry: cz check
-        args: [--commit-msg-file]
-        require_serial: true
-        language: system
-        stages: [commit-msg]
-      - id: absolufy-imports
-        name: absolufy-imports
-        entry: absolufy-imports
-        require_serial: true
-        language: system
-        types: [python]
-      - id: ruff
-        name: ruff
-        entry: ruff check
-        args: ["--exit-non-zero-on-fix"]
-        require_serial: true
-        language: system
-        types: [python]
-        exclude: examples/
-  # - repo: https://github.com/econchick/interrogate
-  #   rev: 1.5.0
-  #   hooks:
-  #     - id: interrogate
-  #       args:
-  #         [
-  #           "gpjax",
-  #           "--config",
-  #           "pyproject.toml",
-  #         ]
-  #       pass_filenames: false
diff --git a/README.md b/README.md
index 721d4d747..82b9115f7 100644
--- a/README.md
+++ b/README.md
@@ -205,13 +205,14 @@ configuration in development mode.
 ```bash
 git clone https://github.com/JaxGaussianProcesses/GPJax.git
 cd GPJax
-poetry install
+hatch env create
+hatch shell
 ```
 
 > We recommend you check your installation passes the supplied unit tests:
 >
 > ```python
-> poetry run pytest
+> hatch run dev:test
 > ```
 
 # Citing GPJax
diff --git a/docs/contributing.md b/docs/contributing.md
index 10be7812a..578626b43 100644
--- a/docs/contributing.md
+++ b/docs/contributing.md
@@ -72,36 +72,19 @@ you through every detail!
   Always use a `feature` branch. It's good practice to avoid
   work on the ``main`` branch of any repository.
 
-4.  We use [Poetry](https://python-poetry.org/) for packaging and dependency management, and project requirements are in       ``pyproject.toml``. We suggest using a [virtual environment](https://docs.python-guide.org/dev/virtualenvs/) for
-development. For those using Apple Silicon chips, we advise using [Conda miniforge](https://github.com/conda-forge/miniforge). Once the virtual environment is activated, run:
+4.  We use [Hatch](https://hatch.pypa.io/latest/) for packaging and dependency management. Project requirements are in ``pyproject.toml``. To install GPJax into a Hatch virtual environment, run:
 
   ```bash
-  $ poetry install
+  $ hatch env create
   ```
 
   At this point we recommend you check your installation passes the supplied unit tests:
 
   ```bash
-  $ poetry run pytest
+  $ hatch run dev:all-tests
   ```
 
-5.  Install the pre-commit hooks.
-
-  ```bash
-  $ pre-commit install
-  ```
-
-  Please ensure you have done this before committing any files. If
-  successful, this will print the following output `pre-commit installed at
-  .git/hooks/pre-commit`.
-
-6.  At this point you can manually run the pre-commit hooks with the following command:
-
-  ```bash
-  poetry run pre-commit run --all-files
-  ```
-
-7.  Add changed files using `git add` and then `git commit` files to record your
+5.  Add changed files using `git add` and then `git commit` files to record your
   changes locally:
 
   ```bash
@@ -122,7 +105,7 @@ development. For those using Apple Silicon chips, we advise using [Conda minifor
   $ git push -u origin my-feature
   ```
 
-8.  Go to the GitHub web page of your fork of the GPJax repo. Click the 'Pull
+6.  Go to the GitHub web page of your fork of the GPJax repo. Click the 'Pull
   request' button to send your changes to the project's maintainers for
   review.
 
@@ -159,7 +142,7 @@ request, we recommend you check the following:
   accepted. Test coverage can be checked with:
 
     ```bash
-    $ poetry run pytest tests --cov=./ --cov-report=html
+    $ hatch run dev:coverage
     ```
 
   Navigate to the newly created folder `htmlcov` and open `index.html` to view
diff --git a/docs/installation.md b/docs/installation.md
index b711d70b6..73de52822 100644
--- a/docs/installation.md
+++ b/docs/installation.md
@@ -31,7 +31,7 @@ hardware acceleration support as detailed in the
     ```bash
     git clone https://github.com/thomaspinder/GPJax.git
     cd GPJax
-    poetry install
+    hatch shell create
     ```
 
 !!! tip
@@ -45,5 +45,5 @@ hardware acceleration support as detailed in the
     and recommend you check your installation passes the supplied unit tests:
 
     ```bash
-    poetry run pytest tests/
+    hatch run dev:all-tests
     ```
diff --git a/examples/backend.py b/examples/backend.py
index 8e8bbe3a9..48e27f04c 100644
--- a/examples/backend.py
+++ b/examples/backend.py
@@ -1,20 +1,3 @@
-# -*- coding: utf-8 -*-
-# ---
-# jupyter:
-#   jupytext:
-#     cell_metadata_filter: -all
-#     custom_cell_magics: kql
-#     text_representation:
-#       extension: .py
-#       format_name: percent
-#       format_version: '1.3'
-#       jupytext_version: 1.11.2
-#   kernelspec:
-#     display_name: gpjax
-#     language: python
-#     name: python3
-# ---
-
 # %% [markdown]
 # # Backend Module Design
 #
@@ -28,34 +11,48 @@
 #
 
 # %%
+import typing as tp
+
+from flax import nnx
+
 # Enable Float64 for more stable matrix inversions.
 from jax import (
     config,
     grad,
 )
-
-config.update("jax_enable_x64", True)
-
 import jax.numpy as jnp
+import jax.tree_util as jtu
 from jaxtyping import (
     Float,
+    Num,
     install_import_hook,
 )
 import matplotlib as mpl
 import matplotlib.pyplot as plt
 
-from gpjax.mean_functions import Constant
+from examples.utils import use_mpl_style
+from gpjax.mean_functions import (
+    AbstractMeanFunction,
+    Constant,
+)
 from gpjax.parameters import (
+    DEFAULT_BIJECTION,
     Parameter,
+    PositiveReal,
     Real,
+    transform,
+)
+from gpjax.typing import (
+    Array,
+    ScalarFloat,
 )
 
+config.update("jax_enable_x64", True)
+
+
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
 
-from flax import nnx
-
-from examples.utils import use_mpl_style
 
 # set the default style for plotting
 use_mpl_style()
@@ -86,7 +83,6 @@
 # `Parameter` will be transformed by GPJax.
 
 # %%
-from gpjax.parameters import PositiveReal
 
 issubclass(PositiveReal, Parameter)
 
@@ -130,8 +126,6 @@
 # see how you can define your own bijectors and parameter types.
 
 # %%
-from gpjax.parameters import DEFAULT_BIJECTION, transform
-
 print(DEFAULT_BIJECTION[constant_param._tag])
 
 # %% [markdown]
@@ -195,7 +189,6 @@
 # parameter's value by 1.
 
 # %%
-import jax.tree_util as jtu
 
 updated_state = jtu.tree_map(lambda x: x + 1, state)
 print(updated_state)
@@ -236,7 +229,6 @@
 # altering the way in which we invoke `nnx.split`.
 
 # %%
-from gpjax.parameters import PositiveReal
 
 graphdef, positive_reals, other_params = nnx.split(posterior, PositiveReal, ...)
 print(positive_reals)
@@ -267,13 +259,6 @@
 # mean function. Let's now implement that using the new NNX backend.
 
 # %%
-import typing as tp
-
-from jaxtyping import Float, Num
-
-from gpjax.mean_functions import AbstractMeanFunction
-from gpjax.parameters import Parameter, Real
-from gpjax.typing import ScalarFloat, Array
 
 
 class LinearMeanFunction(AbstractMeanFunction):
diff --git a/examples/barycentres.py b/examples/barycentres.py
index 62e06753b..27fe7210a 100644
--- a/examples/barycentres.py
+++ b/examples/barycentres.py
@@ -8,7 +8,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -30,14 +30,12 @@
 #
 
 # %%
-# Enable Float64 for more stable matrix inversions.
-from jax import config
-
-config.update("jax_enable_x64", True)
-
 import typing as tp
 
 import jax
+
+# Enable Float64 for more stable matrix inversions.
+from jax import config
 import jax.numpy as jnp
 import jax.random as jr
 import jax.scipy.linalg as jsl
@@ -45,10 +43,14 @@
 import matplotlib.pyplot as plt
 import tensorflow_probability.substrates.jax.distributions as tfd
 
+from examples.utils import use_mpl_style
+
+config.update("jax_enable_x64", True)
+
+
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
 
-from examples.utils import use_mpl_style
 
 key = jr.key(123)
 
diff --git a/examples/bayesian_optimisation.py b/examples/bayesian_optimisation.py
index ac660a693..faeca6c70 100644
--- a/examples/bayesian_optimisation.py
+++ b/examples/bayesian_optimisation.py
@@ -8,7 +8,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -23,28 +23,43 @@
 # (GPs), so if you're not familiar with them, check out our [GP introduction notebook](https://docs.jaxgaussianprocesses.com/examples/intro_to_gps/).
 
 # %%
-# Enable Float64 for more stable matrix inversions.
-from jax import config
-
-config.update("jax_enable_x64", True)
+from typing import (
+    List,
+    Tuple,
+)
 
 import jax
+
+# Enable Float64 for more stable matrix inversions.
+from jax import config
 import jax.numpy as jnp
 import jax.random as jr
-from jaxtyping import install_import_hook, Float, Int
+from jaxopt import ScipyBoundedMinimize
+from jaxtyping import (
+    Float,
+    Int,
+    install_import_hook,
+)
 import matplotlib as mpl
-import matplotlib.pyplot as plt
 from matplotlib import cm
+import matplotlib.pyplot as plt
 import optax as ox
 import tensorflow_probability.substrates.jax as tfp
-from typing import List, Tuple
+
+from examples.utils import use_mpl_style
+from gpjax.parameters import Static
+from gpjax.typing import (
+    Array,
+    FunctionalSample,
+    ScalarFloat,
+)
+
+config.update("jax_enable_x64", True)
+
 
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
-from gpjax.typing import Array, FunctionalSample, ScalarFloat
-from jaxopt import ScipyBoundedMinimize
 
-from examples.utils import use_mpl_style
 
 # set the default style for plotting
 use_mpl_style()
@@ -227,7 +242,6 @@ def standardised_forrester(x: Float[Array, "N 1"]) -> Float[Array, "N 1"]:
 
 
 # %%
-from gpjax.parameters import Static
 
 
 def return_optimised_posterior(
diff --git a/examples/classification.py b/examples/classification.py
index c53cf4354..360f5b2fd 100644
--- a/examples/classification.py
+++ b/examples/classification.py
@@ -8,7 +8,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -22,19 +22,15 @@
 # with non-Gaussian likelihoods via maximum a posteriori (MAP). We focus on a classification task here.
 
 # %%
-# Enable Float64 for more stable matrix inversions.
-from jax import config
-
-config.update("jax_enable_x64", True)
-
-from time import time
-import blackjax
+import cola
 from flax import nnx
 import jax
+
+# Enable Float64 for more stable matrix inversions.
+from jax import config
 import jax.numpy as jnp
 import jax.random as jr
 import jax.scipy as jsp
-import jax.tree_util as jtu
 from jaxtyping import (
     Array,
     Float,
@@ -43,12 +39,16 @@
 import matplotlib.pyplot as plt
 import optax as ox
 import tensorflow_probability.substrates.jax as tfp
-from tqdm import trange
+
+from examples.utils import use_mpl_style
+from gpjax.lower_cholesky import lower_cholesky
+
+config.update("jax_enable_x64", True)
+
 
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
 
-from examples.utils import use_mpl_style
 
 tfd = tfp.distributions
 identity_matrix = jnp.eye
@@ -210,8 +210,7 @@
 # datapoints below.
 
 # %%
-import cola
-from gpjax.lower_cholesky import lower_cholesky
+
 
 gram, cross_covariance = (kernel.gram, kernel.cross_covariance)
 jitter = 1e-6
diff --git a/examples/collapsed_vi.py b/examples/collapsed_vi.py
index 959515920..b2a1f90cf 100644
--- a/examples/collapsed_vi.py
+++ b/examples/collapsed_vi.py
@@ -7,7 +7,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax_beartype
 #     language: python
@@ -27,11 +27,10 @@
 
 # %%
 # Enable Float64 for more stable matrix inversions.
-from jax import config
-
-config.update("jax_enable_x64", True)
-
-from jax import jit
+from jax import (
+    config,
+    jit,
+)
 import jax.numpy as jnp
 import jax.random as jr
 from jaxtyping import install_import_hook
@@ -39,10 +38,14 @@
 import matplotlib.pyplot as plt
 import optax as ox
 
+from examples.utils import use_mpl_style
+
+config.update("jax_enable_x64", True)
+
+
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
 
-from examples.utils import use_mpl_style
 
 # set the default style for plotting
 use_mpl_style()
diff --git a/examples/constructing_new_kernels.py b/examples/constructing_new_kernels.py
index 96d085259..ceb8b4863 100644
--- a/examples/constructing_new_kernels.py
+++ b/examples/constructing_new_kernels.py
@@ -8,7 +8,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -24,9 +24,6 @@
 # %%
 # Enable Float64 for more stable matrix inversions.
 from jax import config
-
-config.update("jax_enable_x64", True)
-
 import jax.numpy as jnp
 import jax.random as jr
 from jaxtyping import (
@@ -37,10 +34,20 @@
 import matplotlib.pyplot as plt
 import tensorflow_probability.substrates.jax as tfp
 
+from examples.utils import use_mpl_style
+from gpjax.kernels.computations import DenseKernelComputation
+from gpjax.parameters import (
+    DEFAULT_BIJECTION,
+    PositiveReal,
+    Static,
+)
+
+config.update("jax_enable_x64", True)
+
+
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
 
-from examples.utils import use_mpl_style
 
 tfb = tfp.bijectors
 
@@ -206,8 +213,6 @@
 
 
 # %%
-from gpjax.kernels.computations import DenseKernelComputation
-from gpjax.parameters import DEFAULT_BIJECTION, Static, PositiveReal
 
 
 def angular_distance(x, y, c):
diff --git a/examples/decision_making.py b/examples/decision_making.py
index e281e55d4..4274d0d44 100644
--- a/examples/decision_making.py
+++ b/examples/decision_making.py
@@ -7,7 +7,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -36,37 +36,32 @@
 # %%
 # Enable Float64 for more stable matrix inversions.
 from jax import config
-
-config.update("jax_enable_x64", True)
-
-
 import jax.numpy as jnp
 import jax.random as jr
 import matplotlib as mpl
 import matplotlib.pyplot as plt
 import optax as ox
 
+from examples.utils import use_mpl_style
 import gpjax as gpx
-from gpjax.decision_making.utility_functions import (
-    ThompsonSampling,
-)
+from gpjax.decision_making.decision_maker import UtilityDrivenDecisionMaker
+from gpjax.decision_making.posterior_handler import PosteriorHandler
+from gpjax.decision_making.search_space import ContinuousSearchSpace
+from gpjax.decision_making.utility_functions import ThompsonSampling
 from gpjax.decision_making.utility_maximizer import (
     ContinuousSinglePointUtilityMaximizer,
 )
-from gpjax.decision_making.decision_maker import UtilityDrivenDecisionMaker
 from gpjax.decision_making.utils import (
     OBJECTIVE,
     build_function_evaluator,
 )
-from gpjax.decision_making.posterior_handler import PosteriorHandler
-from gpjax.decision_making.search_space import ContinuousSearchSpace
 from gpjax.typing import (
     Array,
     Float,
 )
 
+config.update("jax_enable_x64", True)
 
-from examples.utils import use_mpl_style
 
 # set the default style for plotting
 use_mpl_style()
@@ -259,7 +254,7 @@ def forrester(x: Float[Array, "N 1"]) -> Float[Array, "N 1"]:
 )
 
 # %% [markdown]
-
+#
 # It is worth noting that `ThompsonSampling` is not the only utility function we could use,
 # since our module also provides e.g. `ProbabilityOfImprovement`, `ExpectedImprovment`,
 # which were briefly discussed in [our previous introduction to Bayesian optimisation](https://docs.jaxgaussianprocesses.com/examples/bayesian_optimisation/).
diff --git a/examples/deep_kernels.py b/examples/deep_kernels.py
index b41538c39..2ebb0d349 100644
--- a/examples/deep_kernels.py
+++ b/examples/deep_kernels.py
@@ -8,7 +8,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -26,22 +26,16 @@
 # Gaussian process model's kernel through a neural network can offer a solution to this.
 
 # %%
-# Enable Float64 for more stable matrix inversions.
-from jax import config
-
-config.update("jax_enable_x64", True)
-
 from dataclasses import (
     dataclass,
     field,
 )
 
 from flax import nnx
-from gpjax.kernels.computations import (
-    AbstractKernelComputation,
-    DenseKernelComputation,
-)
 import jax
+
+# Enable Float64 for more stable matrix inversions.
+from jax import config
 import jax.numpy as jnp
 import jax.random as jr
 from jaxtyping import (
@@ -54,13 +48,20 @@
 import optax as ox
 from scipy.signal import sawtooth
 
+from examples.utils import use_mpl_style
+from gpjax.kernels.computations import (
+    AbstractKernelComputation,
+    DenseKernelComputation,
+)
+
+config.update("jax_enable_x64", True)
+
+
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
     from gpjax.kernels.base import AbstractKernel
 
 
-from examples.utils import use_mpl_style
-
 # set the default style for plotting
 use_mpl_style()
 cols = mpl.rcParams["axes.prop_cycle"].by_key()["color"]
diff --git a/examples/graph_kernels.py b/examples/graph_kernels.py
index e9a28b9a7..0bd9db41b 100644
--- a/examples/graph_kernels.py
+++ b/examples/graph_kernels.py
@@ -8,7 +8,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -25,13 +25,10 @@
 # [kernels notebook](https://docs.jaxgaussianprocesses.com/examples/constructing_new_kernels).
 
 # %%
-# Enable Float64 for more stable matrix inversions.
-from jax import config
-
-config.update("jax_enable_x64", True)
-
 import random
 
+# Enable Float64 for more stable matrix inversions.
+from jax import config
 import jax.numpy as jnp
 import jax.random as jr
 from jaxtyping import install_import_hook
@@ -39,12 +36,15 @@
 import matplotlib.pyplot as plt
 import networkx as nx
 
+from examples.utils import use_mpl_style
+
+config.update("jax_enable_x64", True)
+
+
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
 
 
-from examples.utils import use_mpl_style
-
 # set the default style for plotting
 use_mpl_style()
 
@@ -152,7 +152,7 @@
 # For this reason, we simply perform gradient descent on the GP's marginal
 # log-likelihood term as in the
 # [regression notebook](https://docs.jaxgaussianprocesses.com/examples/regression/).
-# We do this using the BFGS optimiser provided in `scipy` via 'jaxopt'.
+# We do this using the BFGS optimiser.
 
 # %%
 likelihood = gpx.likelihoods.Gaussian(num_datapoints=D.n)
diff --git a/examples/intro_to_gps.py b/examples/intro_to_gps.py
index 9fc0eeae9..699bde903 100644
--- a/examples/intro_to_gps.py
+++ b/examples/intro_to_gps.py
@@ -7,7 +7,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -121,7 +121,11 @@
 import pandas as pd
 import seaborn as sns
 import tensorflow_probability.substrates.jax as tfp
-from examples.utils import confidence_ellipse, use_mpl_style
+
+from examples.utils import (
+    confidence_ellipse,
+    use_mpl_style,
+)
 
 # set the default style for plotting
 use_mpl_style()
diff --git a/examples/intro_to_kernels.py b/examples/intro_to_kernels.py
index 396aa9361..b4340ffac 100644
--- a/examples/intro_to_kernels.py
+++ b/examples/intro_to_kernels.py
@@ -8,7 +8,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -24,23 +24,28 @@
 # %%
 # Enable Float64 for more stable matrix inversions.
 from jax import config
-
-config.update("jax_enable_x64", True)
-
 import jax.numpy as jnp
 import jax.random as jr
-from jaxtyping import install_import_hook, Float
+from jaxtyping import (
+    Float,
+    install_import_hook,
+)
 import matplotlib as mpl
 import matplotlib.pyplot as plt
 import optax as ox
 import pandas as pd
+from sklearn.preprocessing import StandardScaler
+
+from examples.utils import use_mpl_style
+from gpjax.parameters import PositiveReal
+from gpjax.typing import Array
+
+config.update("jax_enable_x64", True)
+
 
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
-from gpjax.typing import Array
-from sklearn.preprocessing import StandardScaler
 
-from examples.utils import use_mpl_style
 
 key = jr.key(42)
 
@@ -232,7 +237,6 @@ def forrester(x: Float[Array, "N"]) -> Float[Array, "N"]:  # noqa: F821
 # First we define our model, using the Matérn52 kernel, and construct our posterior *without* optimising the kernel hyperparameters:
 
 # %%
-from gpjax.parameters import PositiveReal
 
 mean = gpx.mean_functions.Zero()
 kernel = gpx.kernels.Matern52(
diff --git a/examples/likelihoods_guide.py b/examples/likelihoods_guide.py
index 10597a265..4e210be55 100644
--- a/examples/likelihoods_guide.py
+++ b/examples/likelihoods_guide.py
@@ -7,7 +7,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -66,19 +66,20 @@
 # a likelihood object. To do this, we'll need a dataset.
 
 # %%
+import jax
+
 # Enable Float64 for more stable matrix inversions.
 from jax import config
-
-config.update("jax_enable_x64", True)
-
-import gpjax as gpx
-import jax
 import jax.numpy as jnp
 import jax.random as jr
 import matplotlib.pyplot as plt
 import tensorflow_probability.substrates.jax as tfp
 
 from examples.utils import use_mpl_style
+import gpjax as gpx
+
+config.update("jax_enable_x64", True)
+
 
 tfd = tfp.distributions
 
@@ -130,7 +131,7 @@
 gpx.likelihoods.Gaussian(num_datapoints=D.n, obs_stddev=0.5)
 
 # %% [markdown]
-
+#
 # ### Prediction
 #
 # The `predict` method of a likelihood object transforms the latent distribution of
diff --git a/examples/oceanmodelling.py b/examples/oceanmodelling.py
index d46e89af8..e1d8041b5 100644
--- a/examples/oceanmodelling.py
+++ b/examples/oceanmodelling.py
@@ -7,7 +7,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -23,13 +23,15 @@
 #
 # Surface drifters are measurement devices that measure the dynamics and circulation patterns of the world's oceans. Studying and predicting ocean currents are important to climate research, for example, forecasting and predicting oil spills, oceanographic surveying of eddies and upwelling, or providing information on the distribution of biomass in ecosystems. We will be using the [Gulf Drifters Open dataset](https://zenodo.org/record/4421585), which contains all publicly available surface drifter trajectories from the Gulf of Mexico spanning 28 years.
 # %%
-from jax import config
-
-config.update("jax_enable_x64", True)
-from dataclasses import dataclass, field
+from dataclasses import (
+    dataclass,
+    field,
+)
 
-from jax import hessian
-from jax import config
+from jax import (
+    config,
+    hessian,
+)
 import jax.numpy as jnp
 import jax.random as jr
 from jaxtyping import (
@@ -42,10 +44,15 @@
 import pandas as pd
 import tensorflow_probability as tfp
 
+from examples.utils import use_mpl_style
+from gpjax.kernels.computations import DenseKernelComputation
+
+config.update("jax_enable_x64", True)
+
+
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
 
-from examples.utils import use_mpl_style
 
 # set the default style for plotting
 use_mpl_style()
@@ -213,7 +220,6 @@ def dataset_3d(pos, vel):
 
 
 # %%
-from gpjax.kernels.computations import DenseKernelComputation
 
 
 class VelocityKernel(gpx.kernels.AbstractKernel):
diff --git a/examples/poisson.py b/examples/poisson.py
index 284cb54c8..9d2ec4966 100644
--- a/examples/poisson.py
+++ b/examples/poisson.py
@@ -7,7 +7,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: base
 #     language: python
@@ -24,21 +24,22 @@
 
 # %%
 import blackjax
+from flax import nnx
 import jax
+from jax import config
 import jax.numpy as jnp
 import jax.random as jr
 import jax.tree_util as jtu
+from jaxtyping import install_import_hook
 import matplotlib as mpl
 import matplotlib.pyplot as plt
 import tensorflow_probability.substrates.jax as tfp
-from jax import config
-from jaxtyping import install_import_hook
-from flax import nnx
+
+from examples.utils import use_mpl_style
 
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
 
-from examples.utils import use_mpl_style
 
 # Enable Float64 for more stable matrix inversions.
 config.update("jax_enable_x64", True)
diff --git a/examples/regression.py b/examples/regression.py
index c5ef2d50e..9dae4fc1b 100644
--- a/examples/regression.py
+++ b/examples/regression.py
@@ -7,7 +7,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -22,20 +22,23 @@
 # %%
 # Enable Float64 for more stable matrix inversions.
 from jax import config
-
-config.update("jax_enable_x64", True)
-
 import jax.numpy as jnp
 import jax.random as jr
 from jaxtyping import install_import_hook
 import matplotlib as mpl
 import matplotlib.pyplot as plt
-from examples.utils import clean_legend
+
+from examples.utils import (
+    clean_legend,
+    use_mpl_style,
+)
+
+config.update("jax_enable_x64", True)
+
 
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
 
-from examples.utils import use_mpl_style
 
 key = jr.key(123)
 
diff --git a/examples/uncollapsed_vi.py b/examples/uncollapsed_vi.py
index 073819a6d..f2fb52ae4 100644
--- a/examples/uncollapsed_vi.py
+++ b/examples/uncollapsed_vi.py
@@ -8,7 +8,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax_beartype
 #     language: python
@@ -33,9 +33,6 @@
 # %%
 # Enable Float64 for more stable matrix inversions.
 from jax import config
-
-config.update("jax_enable_x64", True)
-
 import jax.numpy as jnp
 import jax.random as jr
 from jaxtyping import install_import_hook
@@ -44,11 +41,15 @@
 import optax as ox
 import tensorflow_probability.substrates.jax as tfp
 
+from examples.utils import use_mpl_style
+
+config.update("jax_enable_x64", True)
+
+
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
     import gpjax.kernels as jk
 
-from examples.utils import use_mpl_style
 
 tfb = tfp.bijectors
 
diff --git a/examples/utils.py b/examples/utils.py
index b8d5a81f8..a87e8966b 100644
--- a/examples/utils.py
+++ b/examples/utils.py
@@ -1,8 +1,8 @@
 from pathlib import Path
 
-import matplotlib.pyplot as plt
 from matplotlib import transforms
 from matplotlib.patches import Ellipse
+import matplotlib.pyplot as plt
 import numpy as np
 
 
diff --git a/examples/yacht.py b/examples/yacht.py
index 940dff153..a78d63af3 100644
--- a/examples/yacht.py
+++ b/examples/yacht.py
@@ -7,7 +7,7 @@
 #       extension: .py
 #       format_name: percent
 #       format_version: '1.3'
-#       jupytext_version: 1.11.2
+#       jupytext_version: 1.16.4
 #   kernelspec:
 #     display_name: gpjax
 #     language: python
@@ -26,11 +26,8 @@
 # %%
 # Enable Float64 for more stable matrix inversions.
 from jax import config
-
-config.update("jax_enable_x64", True)
-
-import jax.random as jr
 import jax.numpy as jnp
+import jax.random as jr
 from jaxtyping import install_import_hook
 import matplotlib as mpl
 import matplotlib.pyplot as plt
@@ -43,10 +40,14 @@
 from sklearn.model_selection import train_test_split
 from sklearn.preprocessing import StandardScaler
 
+from examples.utils import use_mpl_style
+
+config.update("jax_enable_x64", True)
+
+
 with install_import_hook("gpjax", "beartype.beartype"):
     import gpjax as gpx
 
-from examples.utils import use_mpl_style
 
 # set the default style for plotting
 use_mpl_style()
diff --git a/gpjax/decision_making/test_functions/continuous_functions.py b/gpjax/decision_making/test_functions/continuous_functions.py
index a04b4292b..ff3f82fda 100644
--- a/gpjax/decision_making/test_functions/continuous_functions.py
+++ b/gpjax/decision_making/test_functions/continuous_functions.py
@@ -139,12 +139,7 @@ def evaluate(self, x: Float[Array, "N D"]) -> Float[Array, "N 1"]:
         x1 = 4.0 * x[:, 0] - 2.0
         x2 = 4.0 * x[:, 1] - 2.0
         a = 1.0 + (x1 + x2 + 1.0) ** 2 * (
-            19.0
-            - 14.0 * x1
-            + 3.0 * (x1**2)
-            - 14.0 * x2
-            + 6.0 * x1 * x2
-            + 3.0 * (x2**2)
+            19.0 - 14.0 * x1 + 3.0 * (x1**2) - 14.0 * x2 + 6.0 * x1 * x2 + 3.0 * (x2**2)
         )
         b = 30.0 + (2.0 * x1 - 3.0 * x2) ** 2 * (
             18.0
diff --git a/gpjax/distributions.py b/gpjax/distributions.py
index 3c6d7e82a..b8f7bb331 100644
--- a/gpjax/distributions.py
+++ b/gpjax/distributions.py
@@ -162,9 +162,7 @@ def affine_transformation(x):
 
         return vmap(affine_transformation)(Z)
 
-    def sample(
-        self, seed: KeyArray, sample_shape: Tuple[int, ...]
-    ):  # pylint: disable=useless-super-delegation
+    def sample(self, seed: KeyArray, sample_shape: Tuple[int, ...]):  # pylint: disable=useless-super-delegation
         r"""See `Distribution.sample`."""
         return self._sample_n(
             seed, sample_shape[0]
diff --git a/gpjax/gps.py b/gpjax/gps.py
index be4ab211a..db11f8066 100644
--- a/gpjax/gps.py
+++ b/gpjax/gps.py
@@ -146,20 +146,17 @@ class Prior(AbstractPrior[M, K]):
     if tp.TYPE_CHECKING:
 
         @tp.overload
-        def __mul__(self, other: GL) -> "ConjugatePosterior[Prior[M, K], GL]":
-            ...
+        def __mul__(self, other: GL) -> "ConjugatePosterior[Prior[M, K], GL]": ...
 
         @tp.overload
         def __mul__(  # noqa: F811
             self, other: NGL
-        ) -> "NonConjugatePosterior[Prior[M, K], NGL]":
-            ...
+        ) -> "NonConjugatePosterior[Prior[M, K], NGL]": ...
 
         @tp.overload
         def __mul__(  # noqa: F811
             self, other: L
-        ) -> "AbstractPosterior[Prior[M, K], L]":
-            ...
+        ) -> "AbstractPosterior[Prior[M, K], L]": ...
 
     def __mul__(self, other):  # noqa: F811
         r"""Combine the prior with a likelihood to form a posterior distribution.
@@ -195,20 +192,17 @@ def __mul__(self, other):  # noqa: F811
     if tp.TYPE_CHECKING:
 
         @tp.overload
-        def __rmul__(self, other: GL) -> "ConjugatePosterior[Prior[M, K], GL]":
-            ...
+        def __rmul__(self, other: GL) -> "ConjugatePosterior[Prior[M, K], GL]": ...
 
         @tp.overload
         def __rmul__(  # noqa: F811
             self, other: NGL
-        ) -> "NonConjugatePosterior[Prior[M, K], NGL]":
-            ...
+        ) -> "NonConjugatePosterior[Prior[M, K], NGL]": ...
 
         @tp.overload
         def __rmul__(  # noqa: F811
             self, other: L
-        ) -> "AbstractPosterior[Prior[M, K], L]":
-            ...
+        ) -> "AbstractPosterior[Prior[M, K], L]": ...
 
     def __rmul__(self, other):  # noqa: F811
         r"""Combine the prior with a likelihood to form a posterior distribution.
@@ -722,15 +716,13 @@ def predict(
 
 
 @tp.overload
-def construct_posterior(prior: P, likelihood: GL) -> ConjugatePosterior[P, GL]:
-    ...
+def construct_posterior(prior: P, likelihood: GL) -> ConjugatePosterior[P, GL]: ...
 
 
 @tp.overload
 def construct_posterior(  # noqa: F811
     prior: P, likelihood: NGL
-) -> NonConjugatePosterior[P, NGL]:
-    ...
+) -> NonConjugatePosterior[P, NGL]: ...
 
 
 def construct_posterior(prior, likelihood):  # noqa: F811
diff --git a/gpjax/kernels/approximations/rff.py b/gpjax/kernels/approximations/rff.py
index b63e6cd08..dedcd3c4c 100644
--- a/gpjax/kernels/approximations/rff.py
+++ b/gpjax/kernels/approximations/rff.py
@@ -1,4 +1,5 @@
-"""Compute Random Fourier Feature (RFF) kernel approximations.  """
+"""Compute Random Fourier Feature (RFF) kernel approximations."""
+
 import beartype.typing as tp
 import jax.random as jr
 from jaxtyping import Float
diff --git a/gpjax/kernels/computations/base.py b/gpjax/kernels/computations/base.py
index fe60b9f0e..5826f3b9e 100644
--- a/gpjax/kernels/computations/base.py
+++ b/gpjax/kernels/computations/base.py
@@ -74,8 +74,7 @@ def gram(
     @abc.abstractmethod
     def _cross_covariance(
         self, kernel: K, x: Num[Array, "N D"], y: Num[Array, "M D"]
-    ) -> Float[Array, "N M"]:
-        ...
+    ) -> Float[Array, "N M"]: ...
 
     def cross_covariance(
         self, kernel: K, x: Num[Array, "N D"], y: Num[Array, "M D"]
diff --git a/gpjax/kernels/computations/eigen.py b/gpjax/kernels/computations/eigen.py
index 091b63d50..97a1bff6f 100644
--- a/gpjax/kernels/computations/eigen.py
+++ b/gpjax/kernels/computations/eigen.py
@@ -26,7 +26,8 @@
 from gpjax.typing import Array
 
 Kernel = tp.TypeVar(
-    "Kernel", bound="gpjax.kernels.non_euclidean.graph.GraphKernel"  # noqa: F821
+    "Kernel",
+    bound="gpjax.kernels.non_euclidean.graph.GraphKernel",  # noqa: F821
 )
 
 
diff --git a/gpjax/kernels/stationary/matern12.py b/gpjax/kernels/stationary/matern12.py
index 9f99122e3..ddf2f1058 100644
--- a/gpjax/kernels/stationary/matern12.py
+++ b/gpjax/kernels/stationary/matern12.py
@@ -38,6 +38,7 @@ class Matern12(StationaryKernel):
     k(x, y) = \sigma^2\exp\Bigg(-\frac{\lvert x-y \rvert}{2\ell^2}\Bigg)
     $$
     """
+
     name: str = "Matérn12"
 
     def __call__(self, x: Float[Array, " D"], y: Float[Array, " D"]) -> ScalarFloat:
diff --git a/poetry.lock b/poetry.lock
deleted file mode 100644
index 3477e7fd4..000000000
--- a/poetry.lock
+++ /dev/null
@@ -1,4284 +0,0 @@
-# This file is automatically @generated by Poetry 1.8.3 and should not be changed by hand.
-
-[[package]]
-name = "absl-py"
-version = "2.1.0"
-description = "Abseil Python Common Libraries, see https://github.com/abseil/abseil-py."
-optional = false
-python-versions = ">=3.7"
-files = [
-    {file = "absl-py-2.1.0.tar.gz", hash = "sha256:7820790efbb316739cde8b4e19357243fc3608a152024288513dd968d7d959ff"},
-    {file = "absl_py-2.1.0-py3-none-any.whl", hash = "sha256:526a04eadab8b4ee719ce68f204172ead1027549089702d99b9059f129ff1308"},
-]
-
-[[package]]
-name = "absolufy-imports"
-version = "0.3.1"
-description = "A tool to automatically replace relative imports with absolute ones."
-optional = false
-python-versions = ">=3.6.1"
-files = [
-    {file = "absolufy_imports-0.3.1-py2.py3-none-any.whl", hash = "sha256:49bf7c753a9282006d553ba99217f48f947e3eef09e18a700f8a82f75dc7fc5c"},
-    {file = "absolufy_imports-0.3.1.tar.gz", hash = "sha256:c90638a6c0b66826d1fb4880ddc20ef7701af34192c94faf40b95d32b59f9793"},
-]
-
-[[package]]
-name = "appnope"
-version = "0.1.4"
-description = "Disable App Nap on macOS >= 10.9"
-optional = false
-python-versions = ">=3.6"
-files = [
-    {file = "appnope-0.1.4-py2.py3-none-any.whl", hash = "sha256:502575ee11cd7a28c0205f379b525beefebab9d161b7c964670864014ed7213c"},
-    {file = "appnope-0.1.4.tar.gz", hash = "sha256:1de3860566df9caf38f01f86f65e0e13e379af54f9e4bee1e66b48f2efffd1ee"},
-]
-
-[[package]]
-name = "asttokens"
-version = "2.4.1"
-description = "Annotate AST trees with source code positions"
-optional = false
-python-versions = "*"
-files = [
-    {file = "asttokens-2.4.1-py2.py3-none-any.whl", hash = "sha256:051ed49c3dcae8913ea7cd08e46a606dba30b79993209636c4875bc1d637bc24"},
-    {file = "asttokens-2.4.1.tar.gz", hash = "sha256:b03869718ba9a6eb027e134bfdf69f38a236d681c83c160d510768af11254ba0"},
-]
-
-[package.dependencies]
-six = ">=1.12.0"
-
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-    {file = "watchdog-4.0.2-py3-none-manylinux2014_i686.whl", hash = "sha256:0e83619a2d5d436a7e58a1aea957a3c1ccbf9782c43c0b4fed80580e5e4acd1a"},
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-    {file = "watchdog-4.0.2-py3-none-manylinux2014_ppc64le.whl", hash = "sha256:32be97f3b75693a93c683787a87a0dc8db98bb84701539954eef991fb35f5fbc"},
-    {file = "watchdog-4.0.2-py3-none-manylinux2014_s390x.whl", hash = "sha256:c82253cfc9be68e3e49282831afad2c1f6593af80c0daf1287f6a92657986757"},
-    {file = "watchdog-4.0.2-py3-none-manylinux2014_x86_64.whl", hash = "sha256:c0b14488bd336c5b1845cee83d3e631a1f8b4e9c5091ec539406e4a324f882d8"},
-    {file = "watchdog-4.0.2-py3-none-win32.whl", hash = "sha256:0d8a7e523ef03757a5aa29f591437d64d0d894635f8a50f370fe37f913ce4e19"},
-    {file = "watchdog-4.0.2-py3-none-win_amd64.whl", hash = "sha256:c344453ef3bf875a535b0488e3ad28e341adbd5a9ffb0f7d62cefacc8824ef2b"},
-    {file = "watchdog-4.0.2-py3-none-win_ia64.whl", hash = "sha256:baececaa8edff42cd16558a639a9b0ddf425f93d892e8392a56bf904f5eff22c"},
-    {file = "watchdog-4.0.2.tar.gz", hash = "sha256:b4dfbb6c49221be4535623ea4474a4d6ee0a9cef4a80b20c28db4d858b64e270"},
-]
-
-[package.extras]
-watchmedo = ["PyYAML (>=3.10)"]
-
-[[package]]
-name = "watermark"
-version = "2.4.3"
-description = "IPython magic function to print date/time stamps and various system information."
-optional = false
-python-versions = ">=3.7"
-files = [
-    {file = "watermark-2.4.3-py2.py3-none-any.whl", hash = "sha256:39be67f043d7fa0351537fa9b746bbf03ad1bb1ce3d3d84ec96eca954a5e1579"},
-    {file = "watermark-2.4.3.tar.gz", hash = "sha256:43d0f7aafb5285af685adce08879f22b2e97be45e786bb93ea4c5e9478dd88e2"},
-]
-
-[package.dependencies]
-importlib-metadata = ">=1.4"
-ipython = ">=6.0"
-setuptools = "*"
-
-[package.extras]
-gpu = ["py3nvml (>=0.2)"]
-
-[[package]]
-name = "wcwidth"
-version = "0.2.13"
-description = "Measures the displayed width of unicode strings in a terminal"
-optional = false
-python-versions = "*"
-files = [
-    {file = "wcwidth-0.2.13-py2.py3-none-any.whl", hash = "sha256:3da69048e4540d84af32131829ff948f1e022c1c6bdb8d6102117aac784f6859"},
-    {file = "wcwidth-0.2.13.tar.gz", hash = "sha256:72ea0c06399eb286d978fdedb6923a9eb47e1c486ce63e9b4e64fc18303972b5"},
-]
-
-[[package]]
-name = "webencodings"
-version = "0.5.1"
-description = "Character encoding aliases for legacy web content"
-optional = false
-python-versions = "*"
-files = [
-    {file = "webencodings-0.5.1-py2.py3-none-any.whl", hash = "sha256:a0af1213f3c2226497a97e2b3aa01a7e4bee4f403f95be16fc9acd2947514a78"},
-    {file = "webencodings-0.5.1.tar.gz", hash = "sha256:b36a1c245f2d304965eb4e0a82848379241dc04b865afcc4aab16748587e1923"},
-]
-
-[[package]]
-name = "widgetsnbextension"
-version = "4.0.11"
-description = "Jupyter interactive widgets for Jupyter Notebook"
-optional = false
-python-versions = ">=3.7"
-files = [
-    {file = "widgetsnbextension-4.0.11-py3-none-any.whl", hash = "sha256:55d4d6949d100e0d08b94948a42efc3ed6dfdc0e9468b2c4b128c9a2ce3a7a36"},
-    {file = "widgetsnbextension-4.0.11.tar.gz", hash = "sha256:8b22a8f1910bfd188e596fe7fc05dcbd87e810c8a4ba010bdb3da86637398474"},
-]
-
-[[package]]
-name = "xdoctest"
-version = "1.1.6"
-description = "A rewrite of the builtin doctest module"
-optional = false
-python-versions = ">=3.6"
-files = [
-    {file = "xdoctest-1.1.6-py3-none-any.whl", hash = "sha256:a6f673df8c82b8fe0adc536f14c523464f25c6d2b733ed78888b8f8d6c46012e"},
-    {file = "xdoctest-1.1.6.tar.gz", hash = "sha256:00ec7bde36addbedf5d1db0db57b6b669a7a4b29ad2d16480950556644f02109"},
-]
-
-[package.extras]
-all = ["IPython (>=7.10.0)", "IPython (>=7.23.1)", "Pygments (>=2.0.0)", "Pygments (>=2.4.1)", "attrs (>=19.2.0)", "colorama (>=0.4.1)", "debugpy (>=1.0.0)", "debugpy (>=1.0.0)", "debugpy (>=1.0.0)", "debugpy (>=1.3.0)", "debugpy (>=1.6.0)", "ipykernel (>=5.2.0)", "ipykernel (>=6.0.0)", "ipykernel (>=6.11.0)", "ipython-genutils (>=0.2.0)", "jedi (>=0.16)", "jinja2 (>=3.0.0)", "jupyter-client (>=6.1.5)", "jupyter-client (>=7.0.0)", "jupyter-core (>=4.7.0)", "nbconvert (>=6.0.0)", "nbconvert (>=6.1.0)", "pyflakes (>=2.2.0)", "pytest (>=4.6.0)", "pytest (>=4.6.0)", "pytest (>=6.2.5)", "pytest-cov (>=3.0.0)", "tomli (>=0.2.0)", "typing (>=3.7.4)"]
-all-strict = ["IPython (==7.10.0)", "IPython (==7.23.1)", "Pygments (==2.0.0)", "Pygments (==2.4.1)", "attrs (==19.2.0)", "colorama (==0.4.1)", "debugpy (==1.0.0)", "debugpy (==1.0.0)", "debugpy (==1.0.0)", "debugpy (==1.3.0)", "debugpy (==1.6.0)", "ipykernel (==5.2.0)", "ipykernel (==6.0.0)", "ipykernel (==6.11.0)", "ipython-genutils (==0.2.0)", "jedi (==0.16)", "jinja2 (==3.0.0)", "jupyter-client (==6.1.5)", "jupyter-client (==7.0.0)", "jupyter-core (==4.7.0)", "nbconvert (==6.0.0)", "nbconvert (==6.1.0)", "pyflakes (==2.2.0)", "pytest (==4.6.0)", "pytest (==4.6.0)", "pytest (==6.2.5)", "pytest-cov (==3.0.0)", "tomli (==0.2.0)", "typing (==3.7.4)"]
-colors = ["Pygments", "Pygments", "colorama"]
-jupyter = ["IPython", "IPython", "attrs", "debugpy", "debugpy", "debugpy", "debugpy", "debugpy", "ipykernel", "ipykernel", "ipykernel", "ipython-genutils", "jedi", "jinja2", "jupyter-client", "jupyter-client", "jupyter-core", "nbconvert", "nbconvert"]
-optional = ["IPython (>=7.10.0)", "IPython (>=7.23.1)", "Pygments (>=2.0.0)", "Pygments (>=2.4.1)", "attrs (>=19.2.0)", "colorama (>=0.4.1)", "debugpy (>=1.0.0)", "debugpy (>=1.0.0)", "debugpy (>=1.0.0)", "debugpy (>=1.3.0)", "debugpy (>=1.6.0)", "ipykernel (>=5.2.0)", "ipykernel (>=6.0.0)", "ipykernel (>=6.11.0)", "ipython-genutils (>=0.2.0)", "jedi (>=0.16)", "jinja2 (>=3.0.0)", "jupyter-client (>=6.1.5)", "jupyter-client (>=7.0.0)", "jupyter-core (>=4.7.0)", "nbconvert (>=6.0.0)", "nbconvert (>=6.1.0)", "pyflakes (>=2.2.0)", "tomli (>=0.2.0)"]
-optional-strict = ["IPython (==7.10.0)", "IPython (==7.23.1)", "Pygments (==2.0.0)", "Pygments (==2.4.1)", "attrs (==19.2.0)", "colorama (==0.4.1)", "debugpy (==1.0.0)", "debugpy (==1.0.0)", "debugpy (==1.0.0)", "debugpy (==1.3.0)", "debugpy (==1.6.0)", "ipykernel (==5.2.0)", "ipykernel (==6.0.0)", "ipykernel (==6.11.0)", "ipython-genutils (==0.2.0)", "jedi (==0.16)", "jinja2 (==3.0.0)", "jupyter-client (==6.1.5)", "jupyter-client (==7.0.0)", "jupyter-core (==4.7.0)", "nbconvert (==6.0.0)", "nbconvert (==6.1.0)", "pyflakes (==2.2.0)", "tomli (==0.2.0)"]
-tests = ["pytest (>=4.6.0)", "pytest (>=4.6.0)", "pytest (>=6.2.5)", "pytest-cov (>=3.0.0)", "typing (>=3.7.4)"]
-tests-binary = ["cmake", "cmake", "ninja", "ninja", "pybind11", "pybind11", "scikit-build", "scikit-build"]
-tests-binary-strict = ["cmake (==3.21.2)", "cmake (==3.25.0)", "ninja (==1.10.2)", "ninja (==1.11.1)", "pybind11 (==2.10.3)", "pybind11 (==2.7.1)", "scikit-build (==0.11.1)", "scikit-build (==0.16.1)"]
-tests-strict = ["pytest (==4.6.0)", "pytest (==4.6.0)", "pytest (==6.2.5)", "pytest-cov (==3.0.0)", "typing (==3.7.4)"]
-
-[[package]]
-name = "zipp"
-version = "3.20.0"
-description = "Backport of pathlib-compatible object wrapper for zip files"
-optional = false
-python-versions = ">=3.8"
-files = [
-    {file = "zipp-3.20.0-py3-none-any.whl", hash = "sha256:58da6168be89f0be59beb194da1250516fdaa062ccebd30127ac65d30045e10d"},
-    {file = "zipp-3.20.0.tar.gz", hash = "sha256:0145e43d89664cfe1a2e533adc75adafed82fe2da404b4bbb6b026c0157bdb31"},
-]
-
-[package.extras]
-doc = ["furo", "jaraco.packaging (>=9.3)", "jaraco.tidelift (>=1.4)", "rst.linker (>=1.9)", "sphinx (>=3.5)", "sphinx-lint"]
-test = ["big-O", "importlib-resources", "jaraco.functools", "jaraco.itertools", "jaraco.test", "more-itertools", "pytest (>=6,!=8.1.*)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-ignore-flaky", "pytest-mypy", "pytest-ruff (>=0.2.1)"]
-
-[metadata]
-lock-version = "2.0"
-python-versions = ">=3.10,<3.12"
-content-hash = "99d22602c5c323f3ea78b4a80ca493069b946cea47b23d0a6e932c2900c385a4"
diff --git a/pyproject.toml b/pyproject.toml
index 396e3f928..de7b51862 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,85 +1,146 @@
-[tool.poetry]
+[build-system]
+requires = ["hatchling"]
+build-backend = "hatchling.build"
+
+[project]
 name = "gpjax"
-version = "0.9.0"
-description = "Gaussian processes in JAX."
-authors = [
-  "Thomas Pinder <tompinder@live.co.uk>",
-  "Daniel Dodd <daniel_dodd@icloud.com>",
-]
-license = "Apache-2.0"
+dynamic = ["version"]
+description = 'Gaussian processes in JAX.'
 readme = "README.md"
-homepage = "https://github.com/JaxGaussianProcesses/GPJax"
-repository = "https://github.com/JaxGaussianProcesses/GPJax"
-include = ["LICENSE"]
-documentation = "https://docs.jaxgaussianprocesses.com/"
+requires-python = ">=3.10, <3.13"
+license = "Apache-2.0"
 keywords = ["gaussian-processes jax machine-learning bayesian"]
-packages = [{ include = "gpjax" }]
-
-[tool.poetry.dependencies]
-python = ">=3.10,<3.12"
-jax = "<0.4.28"
-jaxlib = "<0.4.28"
-optax = "^0.2.1"
-jaxtyping = "^0.2.10"
-tqdm = "^4.66.2"
-tensorflow-probability = "^0.24.0"
-beartype = "^0.16.1"
-cola-ml = "0.0.5"
-jaxopt = "^0.8.3"
-flax = "^0.8.4"
-numpy = "<2.0.0"
-
-[tool.poetry.group.dev.dependencies]
-ruff = "~0"
-pre-commit = "^3.2.2"
-interrogate = "^1.5.0"
-codespell = "^2.2.4"
-pytest = "^7.2.2"
-pytest-cov = "^4.0.0"
-pytest-pretty = "^1.1.1"
-pytest-xdist = "^3.2.1"
-coverage = "^7.2.2"
-absolufy-imports = "^0.3.1"
-xdoctest = "^1.1.1"
-mktestdocs = "^0.2.1"
-asv = "^0.6.0"
-
-
-[tool.poetry.group.docs.dependencies]
-mkdocs = "^1.5.3"
-mkdocs-material = "^9.5.12"
-mkdocstrings = { version = "^0.25.1", extras = ["python"] }
-mkdocs-jupyter = "^0.24.3"
-mkdocs-gen-files = "^0.5.0"
-mkdocs-literate-nav = "^0.6.0"
-mkdocs-git-authors-plugin = "^0.7.0"
-matplotlib = "^3.7.1"
-seaborn = "^0.12.2"
-networkx = "^3.0"
-jupytext = "^1.14.5"
-ipython = "^8.11.0"
-ipykernel = "^6.22.0"
-watermark = "^2.3.1"
-blackjax = "^0.9.6"
-ipywidgets = "^8.0.5"
-pandas = "^1.5.3"
-pymdown-extensions = "^10.7.1"
-nbconvert = "^7.16.2"
-markdown-katex = "^202406.1035"
-scikit-learn = "^1.5.1"
+authors = [{ name = "Thomas Pinder", email = "tompinder@live.co.uk" }]
+classifiers = [
+  "Development Status :: 4 - Beta",
+  "Programming Language :: Python",
+  "Programming Language :: Python :: 3.10",
+  "Programming Language :: Python :: 3.11",
+  "Programming Language :: Python :: 3.12",
+  "Programming Language :: Python :: Implementation :: CPython",
+  "Programming Language :: Python :: Implementation :: PyPy",
+]
+dependencies = [
+  "jax<0.4.28",
+  "jaxlib<0.4.28",
+  "optax>0.2.1",
+  "jaxtyping>0.2.10",
+  "tqdm>4.66.2",
+  "tensorflow-probability>=0.24.0",
+  "beartype>0.16.1",
+  "cola-ml==0.0.5",
+  "jaxopt==0.8.2",
+  "flax>=0.8.5",
+  "numpy<2.0.0",
+]
 
-[build-system]
-requires = ["poetry-core"]
-build-backend = "poetry.core.masonry.api"
+[tool.hatch.envs.default]
+installer = "uv"
+python = "3.10"
+
+[tool.hatch.envs.docs]
+dependencies = [
+  "mkdocs>=1.5.3",
+  "mkdocs-material>=9.5.12",
+  "mkdocstrings[python]>=0.25.1",
+  "mkdocs-jupyter>=0.24.3",
+  "mkdocs-gen-files>=0.5.0",
+  "mkdocs-literate-nav>=0.6.0",
+  "mkdocs-git-authors-plugin>=0.7.0",
+  "matplotlib>=3.7.1",
+  "seaborn>=0.12.2",
+  "networkx>=3.0",
+  "jupytext>=1.14.5",
+  "ipython>=8.11.0",
+  "ipykernel>=6.22.0",
+  "watermark>=2.3.1",
+  "blackjax>=0.9.6",
+  "ipywidgets>=8.0.5",
+  "pandas>=1.5.3",
+  "pymdown-extensions>=10.7.1",
+  "nbconvert>=7.16.2",
+  "markdown-katex>=202406.1035",
+  "scikit-learn>=1.5.1",
+]
+python = "3.10"
+
+[tool.hatch.envs.docs.scripts]
+build = ["python docs/scripts/gen_examples.py --execute", "mkdocs build"]
+serve = "mkdocs serve --dev-addr localhost:8000"
+integration = "python tests/integration_tests.py"
+
+[tool.hatch.envs.dev]
+dependencies = [
+  "ruff>=0.6",
+  "pre-commit>=3.2.2",
+  "interrogate>=1.5.0",
+  "codespell>=2.2.4",
+  "pytest>=7.2.2",
+  "pytest-cov>=4.0.0",
+  "pytest-pretty>=1.1.1",
+  "pytest-xdist>=3.2.1",
+  "coverage>=7.2.2",
+  "absolufy-imports>=0.3.1",
+  "xdoctest>=1.1.1",
+  "mktestdocs>=0.2.1",
+  "isort",
+  "networkx",
+  "black",
+  "jupytext",
+]
+
+[tool.hatch.envs.dev.scripts]
+black-format = ["black ./gpjax ./tests", "jupytext --pipe black examples/*.py"]
+black-check = "black --check --diff ./gpjax ./tests"
+imports-format = [
+  "isort ./gpjax ./tests",
+  "isort examples/*.py --treat-comment-as-code '# %%' --float-to-top",
+]
+imports-check = [
+  "isort ./gpjax ./tests -c",
+  'isort examples/*.py -c --treat-comment-as-code "# %%" --float-to-top',
+]
+lint-format = ['ruff format ./gpjax ./tests ./examples']
+lint-check = ['ruff check --fix ./gpjax ./tests ./examples']
+format = ["black-format", "imports-format", "lint-format"]
+check = ["black-check", "imports-check", "lint-check"]
+test = "pytest . -v -n auto"
+coverage = "pytest . -v --cov=./gpjax --cov-report=xml:./coverage.xml"
+docstrings = "xdoctest ./gpjax"
+all-tests = ['check', 'docstrings', 'test']
+
+[project.urls]
+Documentation = "https://docs.jaxgaussianprocesses.com/"
+Issues = "https://github.com/JaxGaussianProcesses/GPJax/issues"
+Source = "https://github.com/JaxGaussianProcesses/GPJax"
+
+[tool.hatch.version]
+path = "gpjax/__init__.py"
+
+[tool.coverage.run]
+source_pkgs = ["gpjax", "tests"]
+branch = true
+parallel = true
+omit = ["gpjax/__init__.py"]
+
+[tool.coverage.paths]
+gpjax = ["gpjax", "*/gpjax/"]
+tests = ["tests", "*/gpjax/tests"]
+
+[tool.coverage.report]
+exclude_lines = ["no cov", "if __name__ == .__main__.:", "if TYPE_CHECKING:"]
+fail_under = 50
+precision = 1
+show_missing = true
+skip_covered = true
 
 [tool.black] # https://black.readthedocs.io/en/stable/usage_and_configuration/the_basics.html#configuration-via-a-file
 line-length = 88
 target-version = ["py310"]
 
 [tool.pytest.ini_options] # https://docs.pytest.org/en/latest/reference/reference.html#ini-options-ref
-# addopts = "--color=yes --doctest-modules --exitfirst --failed-first --strict-config --strict-markers --typeguard-packages=my_package --verbosity=2 --junitxml=reports/pytest.xml"
 filterwarnings = ["error", "ignore::DeprecationWarning"]
-testpaths = ["gpjax", "tests"]
+testpaths = ["gpjax"]
 xfail_strict = true
 
 [tool.ruff] # https://github.com/charliermarsh/ruff
@@ -148,39 +209,12 @@ convention = "numpy"
 "tests/test_objectives.py" = ["PLR0913"]
 "docs/examples/barycentres.py" = ["PLR0913"]
 
-
 [tool.isort]
 profile = "black"
 combine_as_imports = true
 force_sort_within_sections = true
 force_grid_wrap = 2
-skip = 'docs'
-
-[tool.coverage.report] # https://coverage.readthedocs.io/en/latest/config.html#report
-fail_under = 50
-precision = 1
-show_missing = true
-skip_covered = true
-exclude_lines = ["if TYPE_CHECKING:"]
-
-[tool.coverage.run] # https://coverage.readthedocs.io/en/latest/config.html#run
-branch = true
-command_line = "--module pytest"
-data_file = "reports/.coverage"
-source = ["src"]
-
-[tool.coverage.xml] # https://coverage.readthedocs.io/en/latest/config.html#xml
-output = "reports/coverage.xml"
-
-[tool.poetry-dynamic-versioning]
-enable = true
-vcs = "git"
-
-[tool.poetry-dynamic-versioning.substitution]
-files = ["gpjax/__init__.py"]
-
-[tool.codespell]
-ignore-words-list = "fro" # Frobenius
+skip = 'examples'
 
 [tool.interrogate]
 ignore-init-method = true
diff --git a/static/CONTRIBUTING.md b/static/CONTRIBUTING.md
index 5df3f4559..578626b43 100644
--- a/static/CONTRIBUTING.md
+++ b/static/CONTRIBUTING.md
@@ -1,147 +1,152 @@
-# Guidelines for Contributing
+# Contributing
 
-GPJax welcomes contributions from interested individuals or groups. These
-guidelines help explain how you can contribute to the library
+## How can I contribute?
 
-There are 4 main ways of contributing to the library (in descending order of
-difficulty or scope):
+GPJax welcomes contributions from interested individuals or groups. There are
+many ways to contribute, including:
+
+- Answering questions on our [discussions
+  page](https://github.com/JaxGaussianProcesses/GPJax/discussions).
+- Raising [issues](https://github.com/JaxGaussianProcesses/GPJax/issues) related to bugs
+  or desired enhancements.
+- Contributing or improving the
+  [docs](https://github.com/JaxGaussianProcesses/GPJax/tree/main/docs) or
+  [examples](https://github.com/JaxGaussianProcesses/GPJax/tree/master/docs/nbs).
+- Fixing outstanding [issues](https://github.com/JaxGaussianProcesses/GPJax/issues)
+  (bugs).
+- Extending or improving our [codebase](https://github.com/JaxGaussianProcesses/GPJax).
 
-- Adding new or improved functionality to the existing codebase
-- Fixing outstanding issues (bugs) with the existing codebase. They range from
-  low-level software bugs to higher-level design problems.
-- Contributing or improving the documentation (`docs`) or examples
-  (`gpjax/docs/nbs`)
-- Submitting issues related to bugs or desired enhancements
 
 ## Code of conduct
 
 As a contributor to GPJax, you can help us keep the community open and
 inclusive. Please read and follow our [Code of
-Conduct](https://github.com/thomaspinder/GPJax/blob/master/.github/CODE_OF_CONDUCT.md).
+Conduct](https://github.com/JaxGaussianProcesses/GPJax/blob/master/.github/CODE_OF_CONDUCT.md).
 
-# Opening issues and getting support
+## Opening issues and getting support
 
 Please open issues on [Github Issue
-Tracker](https://github.com/thomaspinder/GPJax/issues/new/choose).
+Tracker](https://github.com/JaxGaussianProcesses/GPJax/issues/new/choose). Here you can
+mention
 
 You can ask a question or start a discussion in the [Discussion
-section](https://github.com/thomaspinder/GPJax/discussions) on Github.
+section](https://github.com/JaxGaussianProcesses/GPJax/discussions) on Github.
 
-# Contributing code via pull requests
+## Contributing to the source code
 
-Please submit patches via pull requests.
+Submitting code contributions to GPJax is done via a [GitHub pull
+request](https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/proposing-changes-to-your-work-with-pull-requests/about-pull-requests).
+Our preferred workflow is to first fork the [GitHub
+repository](https://github.com/JaxGaussianProcesses/GPJax), clone it to your local
+machine, and develop on a _feature branch_. Once you're happy with your changes,
+install our `pre-commit hooks`, `commit` and `push` your code.
 
-The preferred workflow for contributing is to fork the [GitHub
-repository](https://github.com/thomaspinder/GPJax), clone it to your local
-machine, and develop on a feature branch. Once you are ready to commit your
-changes, install the pre-commit hooks with `pre-commit install` and the commit
-and push your code as usual.
+**New to this?** Don't panic, our [guide](#step-by-step-guide) below will walk
+you through every detail!
 
-## Steps:
+!!! attention "Note"
 
-1. Fork the [project repository](https://github.com/thomaspinder/GPJax) by
-   clicking on the 'Fork' button near the top right of the main repository page.
-   This creates a copy of the code under your GitHub user account.
+    Before opening a pull request we recommend you check our [pull request checklist](#pull-request-checklist).
 
-2. Clone your fork of the GPJax repo from your GitHub account to your local
-   disk, and add the base repository as a remote:
 
-   ```bash
-   $ git clone git@github.com:<your GitHub handle>/GPJax.git
-   $ cd GPJax
-   $ git remote add upstream git@github.com:GPJax.git
-   ```
+### Step-by-step guide:
 
-3. Create a `feature` branch to hold your development changes:
+1.  Click [here](https://github.com/JaxGaussianProcesses/GPJax/fork) to Fork GPJax's
+  codebase (alternatively, click the 'Fork' button towards the top right of
+  the [main repository page](https://github.com/JaxGaussianProcesses/GPJax)). This
+  adds a copy of the codebase to your GitHub user account.
 
-   ```bash
-   $ git checkout -b my-feature
-   ```
+2.  Clone your GPJax fork from your GitHub account to your local disk, and add
+  the base repository as a remote:
+  ```bash
+  $ git clone git@github.com:<your GitHub handle>/GPJax.git
+  $ cd GPJax
+  $ git remote add upstream git@github.com:GPJax.git
+  ```
 
-   Always use a `feature` branch. It's good practice to never routinely work on
-   the `master` branch of any repository.
+3.  Create a `feature` branch to hold your development changes:
 
-4. Project requirements are in `requirements.txt`.
+  ```bash
+  $ git checkout -b my-feature
+  ```
+  Always use a `feature` branch. It's good practice to avoid
+  work on the ``main`` branch of any repository.
 
-   We suggest using a [virtual
-   environment](https://docs.python-guide.org/dev/virtualenvs/) for development.
-   Once the virtual environment is activated, run:
+4.  We use [Hatch](https://hatch.pypa.io/latest/) for packaging and dependency management. Project requirements are in ``pyproject.toml``. To install GPJax into a Hatch virtual environment, run:
 
-   ```bash
-   $ pip install -e .
-   $ pip install -r requirements-dev.txt
-   ```
+  ```bash
+  $ hatch env create
+  ```
 
-5. Install the pre-commit hooks. Please **ensure you do this before committing
-   any files**. This can be done by executing the following:
-   ```bash
-   $ pre-commit install
-   ```
-   If successful, this will print the following output `pre-commit installed at
-   .git/hooks/pre-commit`.
+  At this point we recommend you check your installation passes the supplied unit tests:
 
-6. Develop the feature on your feature branch.  When you're done editing, format the new code with
-   ```bash
-   $ poetry run pre-commit run --all-files --show-diff-on-failure
-   ```
-   If any errors are reported, fix them and re-run the command.
+  ```bash
+  $ hatch run dev:all-tests
+  ```
 
-7. Check all tests are passing
-   ```bash
-   poetry run pytest tests --n auto
-   ```
-   If any tests fail, fix them and re-run the command.
+5.  Add changed files using `git add` and then `git commit` files to record your
+  changes locally:
 
-8. Add changed files using `git add` and then `git commit` files:
+  ```bash
+  $ git add modified_files
+  $ git commit
+  ```
+  After committing, it is a good idea to sync with the base repository in case
+  there have been any changes:
 
-   ```bash
-   $ git add modified_files
-   $ git commit
-   ```
+  ```bash
+  $ git fetch upstream
+  $ git rebase upstream/main
+  ```
 
-   to record your changes locally. After committing, it is a good idea to sync
-   with the base repository in case there have been any changes:
+  Then push the changes to your GitHub account with:
 
-   ```bash
-   $ git fetch upstream
-   $ git rebase upstream/main
-   ```
+  ```bash
+  $ git push -u origin my-feature
+  ```
 
-   Then push the changes to your GitHub account with:
+6.  Go to the GitHub web page of your fork of the GPJax repo. Click the 'Pull
+  request' button to send your changes to the project's maintainers for
+  review.
 
-   ```bash
-   $ git push -u origin my-feature
-   ```
+### Pull request checklist
 
-9.  Go to the GitHub web page of your fork of the GPJax repo. Click the 'Pull
-   request' button to send your changes to the project's maintainer for review.
+We welcome both complete or "work in progress" pull requests. Before opening
+one, we recommended you check the following guidelines to ensure a smooth review
+process.
 
-## Pull request checklist
+**My contribution is a "work in progress":**
 
-We recommended that your contribution complies with the following guidelines
-before you submit a pull request:
+Please prefix the title of incomplete contributions with `[WIP]` (to indicate a
+work in progress). WIPs are useful to:
 
-- If your pull request addresses an issue, please use the pull request title to
-  describe the issue and mention the issue number in the pull request
-  description. This will make sure a link back to the original issue is created.
+  1. Indicate you are working on something to avoid duplicated work.
+  2. Request broad review of functionality or API.
+  3. Seek collaborators.
 
-- All public methods must have informative docstrings
+In the description of the pull request, we recommend you outline where work
+needs doing. For example, do some tests need writing?
 
-- Please prefix the title of incomplete contributions with `[WIP]` (to indicate
-  a work in progress). WIPs may be useful to (1) indicate you are working on
-  something to avoid duplicated work, (2) request broad review of functionality
-  or API, or (3) seek collaborators.
+**My contribution is complete:**
 
-- All other tests pass when everything is rebuilt from scratch.
+If addressing an issue, please use the pull request title to describe the issue
+and mention the issue number in the pull request description. This will make
+sure a link back to the original issue is created. Then before making your pull
+request, we recommend you check the following:
 
-- Documentation and high-coverage tests are necessary for enhancements to be
-  accepted.
+  - Do all public methods have informative docstrings that describe their
+  function, input(s) and output(s)?
+  - Do the pre-commit hooks pass?
+  - Do the tests pass when everything is rebuilt from scratch?
+  - Documentation and high-coverage tests are necessary for enhancements to be
+  accepted. Test coverage can be checked with:
 
-- Code with good test, check with:
+    ```bash
+    $ hatch run dev:coverage
+    ```
 
-  ```bash
-  $ pip install -r requirements-dev.txt
-  $ pytest tests --cov=./ --cov-report=html
-  ```
+  Navigate to the newly created folder `htmlcov` and open `index.html` to view
+  the coverage report.
 
-#### This guide was derived from [PyMC's guide to contributing](https://github.com/pymc-devs/pymc/blob/main/CONTRIBUTING.md)
+This guide was derived from [PyMC's guide to
+contributing](https://github.com/pymc-devs/pymc/blob/main/CONTRIBUTING.md).
diff --git a/tests/test_decision_making/test_utility_functions/test_utility_functions.py b/tests/test_decision_making/test_utility_functions/test_utility_functions.py
index f92c52f72..1ed3f4606 100644
--- a/tests/test_decision_making/test_utility_functions/test_utility_functions.py
+++ b/tests/test_decision_making/test_utility_functions/test_utility_functions.py
@@ -22,6 +22,7 @@
 
 from beartype.typing import Type
 import jax.random as jr
+from jaxtyping import TypeCheckError
 import pytest
 
 from gpjax.decision_making.test_functions.continuous_functions import (
@@ -121,7 +122,7 @@ def test_non_conjugate_posterior_raises_error(
     posterior = generate_dummy_non_conjugate_posterior(dataset)
     posteriors = {OBJECTIVE: posterior}
     datasets = {OBJECTIVE: dataset}
-    with pytest.raises(ValueError):
+    with pytest.raises(TypeCheckError):
         utility_function = utility_function_builder(**utility_function_kwargs)
         utility_function.build_utility_function(
             posteriors=posteriors, datasets=datasets, key=key
diff --git a/tests/test_kernels/test_nonstationary.py b/tests/test_kernels/test_nonstationary.py
index 7d968e5ca..836e66f53 100644
--- a/tests/test_kernels/test_nonstationary.py
+++ b/tests/test_kernels/test_nonstationary.py
@@ -40,7 +40,10 @@
 
 
 def params_product(params: dict[str, list]) -> list[dict[str, Any]]:
-    return [dict(zip(params.keys(), values)) for values in product(*params.values())]
+    return [
+        dict(zip(params.keys(), values, strict=False))
+        for values in product(*params.values())
+    ]
 
 
 TESTED_KERNELS = [
diff --git a/tests/test_kernels/test_stationary.py b/tests/test_kernels/test_stationary.py
index ce490e65c..05faa82ef 100644
--- a/tests/test_kernels/test_stationary.py
+++ b/tests/test_kernels/test_stationary.py
@@ -44,7 +44,10 @@
 
 
 def params_product(params: dict[str, list]) -> list[dict[str, Any]]:
-    return [dict(zip(params.keys(), values)) for values in product(*params.values())]
+    return [
+        dict(zip(params.keys(), values, strict=False))
+        for values in product(*params.values())
+    ]
 
 
 TESTED_KERNELS = [