diff --git a/poetry.lock b/poetry.lock
index 05734e0..6e3bc2e 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -17,13 +17,13 @@ numpy = "*"
 
 [[package]]
 name = "anndata"
-version = "0.10.7"
+version = "0.10.8"
 description = "Annotated data."
 optional = false
 python-versions = ">=3.9"
 files = [
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-    {file = "anndata-0.10.7.tar.gz", hash = "sha256:9b186bea18956fefdc35e7464d822a17e9faa456ca2d20c7a0966a4837b822a2"},
+    {file = "anndata-0.10.8-py3-none-any.whl", hash = "sha256:1b24934dc2674eaf3072cb7010e187aa2b2f4f0e4cf0a32ffeab5ffebe3b1415"},
+    {file = "anndata-0.10.8.tar.gz", hash = "sha256:b728a33225eeaaefddf6bed546d935c0f06881c9166621b24de3b492b2f406bb"},
 ]
 
 [package.dependencies]
@@ -40,17 +40,17 @@ scipy = ">1.8"
 dev = ["pytest-xdist", "setuptools-scm"]
 doc = ["awkward (>=2.0.7)", "ipython", "myst-parser", "nbsphinx", "readthedocs-sphinx-search", "scanpydoc[theme,typehints] (>=0.13.4)", "sphinx (>=4.4)", "sphinx-autodoc-typehints (>=1.11.0)", "sphinx-book-theme (>=1.1.0)", "sphinx-copybutton", "sphinx-design (>=0.5.0)", "sphinx-issues", "sphinxext-opengraph", "zarr"]
 gpu = ["cupy"]
-test = ["awkward (>=2.3)", "boltons", "dask[array,distributed] (>=2022.09.2)", "httpx", "joblib", "loompy (>=3.0.5)", "matplotlib", "openpyxl", "pyarrow", "pytest (>=7.3)", "pytest-cov (>=2.10)", "pytest-memray", "pytest-mock", "scanpy", "scikit-learn", "zarr"]
+test = ["awkward (>=2.3)", "boltons", "dask[array,distributed] (>=2022.09.2)", "httpx", "joblib", "loompy (>=3.0.5)", "matplotlib", "openpyxl", "pyarrow", "pytest (>=8.2)", "pytest-cov (>=2.10)", "pytest-memray", "pytest-mock", "scanpy", "scikit-learn", "zarr (<3.0.0a0)"]
 
 [[package]]
 name = "array-api-compat"
-version = "1.6"
+version = "1.8"
 description = "A wrapper around NumPy and other array libraries to make them compatible with the Array API standard"
 optional = false
 python-versions = "*"
 files = [
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-    {file = "array_api_compat-1.6.tar.gz", hash = "sha256:74a1e355cdabb9cf6c48922a5d07976d9230025d65731bef17174151b64876af"},
+    {file = "array_api_compat-1.8-py3-none-any.whl", hash = "sha256:140204454086264d37263bc4afe1182b428353e94e9edcc38d17b009863c982d"},
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 ]
 
 [package.extras]
@@ -59,16 +59,17 @@ dask = ["dask"]
 jax = ["jax"]
 numpy = ["numpy"]
 pytorch = ["pytorch"]
+sparse = ["sparse (>=0.15.1)"]
 
 [[package]]
 name = "cachetools"
-version = "5.3.3"
+version = "5.5.0"
 description = "Extensible memoizing collections and decorators"
 optional = false
 python-versions = ">=3.7"
 files = [
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-    {file = "cachetools-5.3.3.tar.gz", hash = "sha256:ba29e2dfa0b8b556606f097407ed1aa62080ee108ab0dc5ec9d6a723a007d105"},
+    {file = "cachetools-5.5.0-py3-none-any.whl", hash = "sha256:02134e8439cdc2ffb62023ce1debca2944c3f289d66bb17ead3ab3dede74b292"},
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 ]
 
 [[package]]
@@ -106,66 +107,87 @@ files = [
 
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-version = "1.2.1"
+version = "1.3.0"
 description = "Python library for calculating contours of 2D quadrilateral grids"
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 python-versions = ">=3.9"
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 [package.dependencies]
-numpy = ">=1.20"
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 [package.extras]
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-mypy = ["contourpy[bokeh,docs]", "docutils-stubs", "mypy (==1.8.0)", "types-Pillow"]
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+test-no-images = ["pytest", "pytest-cov", "pytest-rerunfailures", "pytest-xdist", "wurlitzer"]
 
 [[package]]
 name = "cycler"
@@ -195,13 +217,13 @@ files = [
 
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 [package.extras]
@@ -383,13 +405,13 @@ numpy = ">=1.17.3"
 
 [[package]]
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+version = "2.6.0"
 description = "File identification library for Python"
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 name = "iniconfig"
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 tomli = {version = ">=1.1.0", markers = "python_version < \"3.11\""}
-typing-extensions = ">=4.1.0"
+typing-extensions = ">=4.6.0"
 
 [package.extras]
 dmypy = ["psutil (>=4.0)"]
@@ -727,18 +764,15 @@ icu = ["PyICU (>=1.0.0)"]
 
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-version = "1.8.0"
+version = "1.9.1"
 description = "Node.js virtual environment builder"
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-[package.dependencies]
-setuptools = "*"
-
 [[package]]
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 version = "0.59.1"
@@ -820,13 +854,13 @@ files = [
 
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 name = "packaging"
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+version = "24.1"
 description = "Core utilities for Python packages"
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.8"
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 [[package]]
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+numpy = ">=1.23.5"
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 fpx = ["olefile"]
 mic = ["olefile"]
 tests = ["check-manifest", "coverage", "defusedxml", "markdown2", "olefile", "packaging", "pyroma", "pytest", "pytest-cov", "pytest-timeout"]
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 [package.dependencies]
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 [[package]]
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 ]
 
 [package.dependencies]
@@ -1047,13 +1092,13 @@ scipy = ">=1.0"
 
 [[package]]
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-version = "3.1.2"
+version = "3.1.4"
 description = "pyparsing module - Classes and methods to define and execute parsing grammars"
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 python-versions = ">=3.6.8"
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 ]
 
 [package.extras]
@@ -1061,22 +1106,22 @@ diagrams = ["jinja2", "railroad-diagrams"]
 
 [[package]]
 name = "pyproject-api"
-version = "1.6.1"
+version = "1.7.1"
 description = "API to interact with the python pyproject.toml based projects"
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 python-versions = ">=3.8"
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 ]
 
 [package.dependencies]
-packaging = ">=23.1"
+packaging = ">=24.1"
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+    {file = "scipy-1.13.1-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:637e98dcf185ba7f8e663e122ebf908c4702420477ae52a04f9908707456ba4d"},
+    {file = "scipy-1.13.1-cp39-cp39-musllinux_1_1_x86_64.whl", hash = "sha256:a014c2b3697bde71724244f63de2476925596c24285c7a637364761f8710891c"},
+    {file = "scipy-1.13.1-cp39-cp39-win_amd64.whl", hash = "sha256:392e4ec766654852c25ebad4f64e4e584cf19820b980bc04960bca0b0cd6eaa2"},
+    {file = "scipy-1.13.1.tar.gz", hash = "sha256:095a87a0312b08dfd6a6155cbbd310a8c51800fc931b8c0b84003014b874ed3c"},
 ]
 
 [package.dependencies]
@@ -1289,22 +1340,6 @@ dev = ["flake8", "flit", "mypy", "pandas-stubs", "pre-commit", "pytest", "pytest
 docs = ["ipykernel", "nbconvert", "numpydoc", "pydata_sphinx_theme (==0.10.0rc2)", "pyyaml", "sphinx (<6.0.0)", "sphinx-copybutton", "sphinx-design", "sphinx-issues"]
 stats = ["scipy (>=1.7)", "statsmodels (>=0.12)"]
 
-[[package]]
-name = "setuptools"
-version = "69.5.1"
-description = "Easily download, build, install, upgrade, and uninstall Python packages"
-optional = false
-python-versions = ">=3.8"
-files = [
-    {file = "setuptools-69.5.1-py3-none-any.whl", hash = "sha256:c636ac361bc47580504644275c9ad802c50415c7522212252c033bd15f301f32"},
-    {file = "setuptools-69.5.1.tar.gz", hash = "sha256:6c1fccdac05a97e598fb0ae3bbed5904ccb317337a51139dcd51453611bbb987"},
-]
-
-[package.extras]
-docs = ["furo", "jaraco.packaging (>=9.3)", "jaraco.tidelift (>=1.4)", "pygments-github-lexers (==0.0.5)", "rst.linker (>=1.9)", "sphinx (>=3.5)", "sphinx-favicon", "sphinx-inline-tabs", "sphinx-lint", "sphinx-notfound-page (>=1,<2)", "sphinx-reredirects", "sphinxcontrib-towncrier"]
-testing = ["build[virtualenv]", "filelock (>=3.4.0)", "importlib-metadata", "ini2toml[lite] (>=0.9)", "jaraco.develop (>=7.21)", "jaraco.envs (>=2.2)", "jaraco.path (>=3.2.0)", "mypy (==1.9)", "packaging (>=23.2)", "pip (>=19.1)", "pytest (>=6,!=8.1.1)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-home (>=0.5)", "pytest-mypy", "pytest-perf", "pytest-ruff (>=0.2.1)", "pytest-timeout", "pytest-xdist (>=3)", "tomli", "tomli-w (>=1.0.0)", "virtualenv (>=13.0.0)", "wheel"]
-testing-integration = ["build[virtualenv] (>=1.0.3)", "filelock (>=3.4.0)", "jaraco.envs (>=2.2)", "jaraco.path (>=3.2.0)", "packaging (>=23.2)", "pytest", "pytest-enabler", "pytest-xdist", "tomli", "virtualenv (>=13.0.0)", "wheel"]
-
 [[package]]
 name = "six"
 version = "1.16.0"
@@ -1340,40 +1375,40 @@ files = [
 
 [[package]]
 name = "tox"
-version = "4.15.0"
+version = "4.18.0"
 description = "tox is a generic virtualenv management and test command line tool"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "tox-4.15.0-py3-none-any.whl", hash = "sha256:300055f335d855b2ab1b12c5802de7f62a36d4fd53f30bd2835f6a201dda46ea"},
-    {file = "tox-4.15.0.tar.gz", hash = "sha256:7a0beeef166fbe566f54f795b4906c31b428eddafc0102ac00d20998dd1933f6"},
+    {file = "tox-4.18.0-py3-none-any.whl", hash = "sha256:0a457400cf70615dc0627eb70d293e80cd95d8ce174bb40ac011011f0c03a249"},
+    {file = "tox-4.18.0.tar.gz", hash = "sha256:5dfa1cab9f146becd6e351333a82f9e0ade374451630ba65ee54584624c27b58"},
 ]
 
 [package.dependencies]
-cachetools = ">=5.3.2"
+cachetools = ">=5.4"
 chardet = ">=5.2"
 colorama = ">=0.4.6"
-filelock = ">=3.13.1"
-packaging = ">=23.2"
-platformdirs = ">=4.1"
-pluggy = ">=1.3"
-pyproject-api = ">=1.6.1"
+filelock = ">=3.15.4"
+packaging = ">=24.1"
+platformdirs = ">=4.2.2"
+pluggy = ">=1.5"
+pyproject-api = ">=1.7.1"
 tomli = {version = ">=2.0.1", markers = "python_version < \"3.11\""}
-virtualenv = ">=20.25"
+virtualenv = ">=20.26.3"
 
 [package.extras]
-docs = ["furo (>=2023.9.10)", "sphinx (>=7.2.6)", "sphinx-argparse-cli (>=1.11.1)", "sphinx-autodoc-typehints (>=1.25.2)", "sphinx-copybutton (>=0.5.2)", "sphinx-inline-tabs (>=2023.4.21)", "sphinxcontrib-towncrier (>=0.2.1a0)", "towncrier (>=23.11)"]
-testing = ["build[virtualenv] (>=1.0.3)", "covdefaults (>=2.3)", "detect-test-pollution (>=1.2)", "devpi-process (>=1)", "diff-cover (>=8.0.2)", "distlib (>=0.3.8)", "flaky (>=3.7)", "hatch-vcs (>=0.4)", "hatchling (>=1.21)", "psutil (>=5.9.7)", "pytest (>=7.4.4)", "pytest-cov (>=4.1)", "pytest-mock (>=3.12)", "pytest-xdist (>=3.5)", "re-assert (>=1.1)", "time-machine (>=2.13)", "wheel (>=0.42)"]
+docs = ["furo (>=2024.7.18)", "sphinx (>=7.4.7)", "sphinx-argparse-cli (>=1.16)", "sphinx-autodoc-typehints (>=2.2.3)", "sphinx-copybutton (>=0.5.2)", "sphinx-inline-tabs (>=2023.4.21)", "sphinxcontrib-towncrier (>=0.2.1a0)", "towncrier (>=23.11)"]
+testing = ["build[virtualenv] (>=1.2.1)", "covdefaults (>=2.3)", "detect-test-pollution (>=1.2)", "devpi-process (>=1)", "diff-cover (>=9.1.1)", "distlib (>=0.3.8)", "flaky (>=3.8.1)", "hatch-vcs (>=0.4)", "hatchling (>=1.25)", "psutil (>=6)", "pytest (>=8.3.2)", "pytest-cov (>=5)", "pytest-mock (>=3.14)", "pytest-xdist (>=3.6.1)", "re-assert (>=1.1)", "setuptools (>=70.3)", "time-machine (>=2.14.2)", "wheel (>=0.43)"]
 
 [[package]]
 name = "tqdm"
-version = "4.66.4"
+version = "4.66.5"
 description = "Fast, Extensible Progress Meter"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "tqdm-4.66.4-py3-none-any.whl", hash = "sha256:b75ca56b413b030bc3f00af51fd2c1a1a5eac6a0c1cca83cbb37a5c52abce644"},
-    {file = "tqdm-4.66.4.tar.gz", hash = "sha256:e4d936c9de8727928f3be6079590e97d9abfe8d39a590be678eb5919ffc186bb"},
+    {file = "tqdm-4.66.5-py3-none-any.whl", hash = "sha256:90279a3770753eafc9194a0364852159802111925aa30eb3f9d85b0e805ac7cd"},
+    {file = "tqdm-4.66.5.tar.gz", hash = "sha256:e1020aef2e5096702d8a025ac7d16b1577279c9d63f8375b63083e9a5f0fcbad"},
 ]
 
 [package.dependencies]
@@ -1398,29 +1433,29 @@ files = [
 
 [[package]]
 name = "types-seaborn"
-version = "0.13.2.20240417"
+version = "0.13.2.20240820"
 description = "Typing stubs for seaborn"
 optional = false
 python-versions = ">=3.9"
 files = [
-    {file = "types-seaborn-0.13.2.20240417.tar.gz", hash = "sha256:130989a40d92a1256292c9693b62a7420f1747b25e0d74b6c156764a56ed10ec"},
-    {file = "types_seaborn-0.13.2.20240417-py3-none-any.whl", hash = "sha256:5a0e9acfde4d4814fa4d926e11c2b874a19f754987665afe5423a4fb322f46eb"},
+    {file = "types-seaborn-0.13.2.20240820.tar.gz", hash = "sha256:0a9785a669a483c7259df2d6c3221560019bb3fd9ceb77008b7d398b5306de9a"},
+    {file = "types_seaborn-0.13.2.20240820-py3-none-any.whl", hash = "sha256:08a3824a222e8fd9b448f2848c0c5f5847a8194e6974e1444eef6f23410a72c1"},
 ]
 
 [package.dependencies]
 matplotlib = ">=3.8"
-numpy = ">=1.20"
+numpy = ">=1.20,<2.1.0"
 pandas-stubs = "*"
 
 [[package]]
 name = "typing-extensions"
-version = "4.11.0"
+version = "4.12.2"
 description = "Backported and Experimental Type Hints for Python 3.8+"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "typing_extensions-4.11.0-py3-none-any.whl", hash = "sha256:c1f94d72897edaf4ce775bb7558d5b79d8126906a14ea5ed1635921406c0387a"},
-    {file = "typing_extensions-4.11.0.tar.gz", hash = "sha256:83f085bd5ca59c80295fc2a82ab5dac679cbe02b9f33f7d83af68e241bea51b0"},
+    {file = "typing_extensions-4.12.2-py3-none-any.whl", hash = "sha256:04e5ca0351e0f3f85c6853954072df659d0d13fac324d0072316b67d7794700d"},
+    {file = "typing_extensions-4.12.2.tar.gz", hash = "sha256:1a7ead55c7e559dd4dee8856e3a88b41225abfe1ce8df57b7c13915fe121ffb8"},
 ]
 
 [[package]]
@@ -1449,13 +1484,13 @@ tbb = ["tbb (>=2019.0)"]
 
 [[package]]
 name = "virtualenv"
-version = "20.26.2"
+version = "20.26.3"
 description = "Virtual Python Environment builder"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "virtualenv-20.26.2-py3-none-any.whl", hash = "sha256:a624db5e94f01ad993d476b9ee5346fdf7b9de43ccaee0e0197012dc838a0e9b"},
-    {file = "virtualenv-20.26.2.tar.gz", hash = "sha256:82bf0f4eebbb78d36ddaee0283d43fe5736b53880b8a8cdcd37390a07ac3741c"},
+    {file = "virtualenv-20.26.3-py3-none-any.whl", hash = "sha256:8cc4a31139e796e9a7de2cd5cf2489de1217193116a8fd42328f1bd65f434589"},
+    {file = "virtualenv-20.26.3.tar.gz", hash = "sha256:4c43a2a236279d9ea36a0d76f98d84bd6ca94ac4e0f4a3b9d46d05e10fea542a"},
 ]
 
 [package.dependencies]
@@ -1469,20 +1504,24 @@ test = ["covdefaults (>=2.3)", "coverage (>=7.2.7)", "coverage-enable-subprocess
 
 [[package]]
 name = "zipp"
-version = "3.18.2"
+version = "3.20.1"
 description = "Backport of pathlib-compatible object wrapper for zip files"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "zipp-3.18.2-py3-none-any.whl", hash = "sha256:dce197b859eb796242b0622af1b8beb0a722d52aa2f57133ead08edd5bf5374e"},
-    {file = "zipp-3.18.2.tar.gz", hash = "sha256:6278d9ddbcfb1f1089a88fde84481528b07b0e10474e09dcfe53dad4069fa059"},
+    {file = "zipp-3.20.1-py3-none-any.whl", hash = "sha256:9960cd8967c8f85a56f920d5d507274e74f9ff813a0ab8889a5b5be2daf44064"},
+    {file = "zipp-3.20.1.tar.gz", hash = "sha256:c22b14cc4763c5a5b04134207736c107db42e9d3ef2d9779d465f5f1bcba572b"},
 ]
 
 [package.extras]
-docs = ["furo", "jaraco.packaging (>=9.3)", "jaraco.tidelift (>=1.4)", "rst.linker (>=1.9)", "sphinx (>=3.5)", "sphinx-lint"]
-testing = ["big-O", "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)"]
+check = ["pytest-checkdocs (>=2.4)", "pytest-ruff (>=0.2.1)"]
+cover = ["pytest-cov"]
+doc = ["furo", "jaraco.packaging (>=9.3)", "jaraco.tidelift (>=1.4)", "rst.linker (>=1.9)", "sphinx (>=3.5)", "sphinx-lint"]
+enabler = ["pytest-enabler (>=2.2)"]
+test = ["big-O", "importlib-resources", "jaraco.functools", "jaraco.itertools", "jaraco.test", "more-itertools", "pytest (>=6,!=8.1.*)", "pytest-ignore-flaky"]
+type = ["pytest-mypy"]
 
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.9,<3.12"
-content-hash = "ecf51758d95b6b6ca0424519ee90bc6ee79040637652d0871f4d6d56d7a3feb3"
+content-hash = "8f7bcfaeb8e58698c0626e7f7c395685999be0a3aabf0988dc314345e7d44ffa"
diff --git a/pyproject.toml b/pyproject.toml
index f308ae7..15ed202 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -15,7 +15,7 @@ readme = "README.md"
 [tool.poetry.dependencies]
 python = ">=3.9,<3.12"
 adjustText = "^0.8"
-anndata = "^0.10.5"
+anndata = ">=0.10.5, <0.10.9"
 fastcluster = "^1.2.6"
 matplotlib = "^3.7.1"
 mudata = "^0.2.3"
diff --git a/src/salamander/models/_utils_klnmf.py b/src/salamander/models/_utils_klnmf.py
index 1720c37..daab1f3 100644
--- a/src/salamander/models/_utils_klnmf.py
+++ b/src/salamander/models/_utils_klnmf.py
@@ -223,7 +223,7 @@ def update_H(
     W: np.ndarray,
     H: np.ndarray,
     weights_kl: np.ndarray | None = None,
-    weights_l_half: np.ndarray | None = None,
+    weights_lhalf: np.ndarray | None = None,
 ) -> np.ndarray:
     """
     The multiplicative update rule of the exposure matrix H
@@ -245,8 +245,8 @@ def update_H(
     weights_kl : np.ndarray of shape (n_samples,)
         per sample weights in the KL-divergence loss
 
-    weights_l_half : np.ndarray of shape (n_samples,)
-        per sample l_half penalty weights. They can be used to induce
+    weights_lhalf : np.ndarray of shape (n_samples,)
+        per sample 'lhalf' penalty weights. They can be used to induce
         sparse exposures.
 
     Returns
@@ -257,7 +257,7 @@ def update_H(
     """
     aux = X / (W @ H)
 
-    if weights_l_half is None:
+    if weights_lhalf is None:
         # in-place
         H *= W.T @ aux
         H = H.clip(EPSILON)
@@ -268,8 +268,8 @@ def update_H(
     if weights_kl is not None:
         intermediate *= weights_kl**2
 
-    discriminant = 0.25 * weights_l_half**2 + intermediate
-    H_updated = 0.25 * (weights_l_half / 2 - np.sqrt(discriminant)) ** 2
+    discriminant = 0.25 * weights_lhalf**2 + intermediate
+    H_updated = 0.25 * (weights_lhalf / 2 - np.sqrt(discriminant)) ** 2
 
     if weights_kl is not None:
         H_updated /= weights_kl**2
@@ -284,7 +284,7 @@ def update_WH(
     W: np.ndarray,
     H: np.ndarray,
     weights_kl: np.ndarray | None = None,
-    weights_l_half: np.ndarray | None = None,
+    weights_lhalf: np.ndarray | None = None,
     n_given_signatures: int = 0,
 ) -> tuple[np.ndarray, np.ndarray]:
     """
@@ -308,8 +308,8 @@ def update_WH(
     weights_kl : np.ndarray of shape (n_samples,)
         per sample weights in the KL-divergence loss
 
-    weights_l_half : np.ndarray of shape (n_samples,)
-        per sample l_half penalty weights. They can be used to induce
+    weights_lhalf : np.ndarray of shape (n_samples,)
+        per sample 'lhalf' penalty weights. They can be used to induce
         sparse exposures.
 
     n_given_signatures : int
@@ -340,7 +340,7 @@ def update_WH(
         W_updated[:, :n_given_signatures] = W[:, :n_given_signatures].copy()
         W_updated = W_updated.clip(EPSILON)
 
-    if weights_l_half is None:
+    if weights_lhalf is None:
         # in-place
         H *= W.T @ aux
         H = H.clip(EPSILON)
@@ -351,8 +351,8 @@ def update_WH(
     if weights_kl is not None:
         intermediate *= weights_kl**2
 
-    discriminant = 0.25 * weights_l_half**2 + intermediate
-    H_updated = 0.25 * (weights_l_half / 2 - np.sqrt(discriminant)) ** 2
+    discriminant = 0.25 * weights_lhalf**2 + intermediate
+    H_updated = 0.25 * (weights_lhalf / 2 - np.sqrt(discriminant)) ** 2
 
     if weights_kl is not None:
         H_updated /= weights_kl**2
diff --git a/src/salamander/models/klnmf.py b/src/salamander/models/klnmf.py
index 630a3fd..7870a70 100644
--- a/src/salamander/models/klnmf.py
+++ b/src/salamander/models/klnmf.py
@@ -49,7 +49,7 @@ def __init__(
             tol,
         )
         self.weights_kl = None
-        self.weights_l_half = None
+        self.weights_lhalf = None
 
     def compute_reconstruction_errors(self) -> None:
         """
@@ -72,9 +72,9 @@ def objective_function(self) -> float:
             self.adata.obsm["exposures"].T,
             self.weights_kl,
         )
-        if self.weights_l_half is not None:
+        if self.weights_lhalf is not None:
             of_value += np.dot(
-                self.weights_l_half,
+                self.weights_lhalf,
                 np.sum(np.sqrt(self.adata.obsm["exposures"].T), axis=0),
             )
         return of_value
@@ -99,7 +99,7 @@ def _update_parameters(
             self.asignatures.X.T,
             self.adata.obsm["exposures"].T,
             self.weights_kl,
-            self.weights_l_half,
+            self.weights_lhalf,
             n_given_signatures,
         )
         self.asignatures.X = W.T
diff --git a/src/salamander/plot.py b/src/salamander/plot.py
index 70bc1d8..88017fe 100644
--- a/src/salamander/plot.py
+++ b/src/salamander/plot.py
@@ -644,9 +644,12 @@ def barplot_pandas(
             _, axes = plt.subplots(n_obs, 2, figsize=(8, n_obs))
 
     assert isinstance(
-        axes, Iterable
+        axes, np.ndarray
     ), "Adding multiple barplots to custom 'axes' requires 'axes' to be iterable."
 
+    if catalog is None:
+        axes = axes.flatten()
+
     for ax, row in zip(axes, data.T):
         _barplot_matched(
             data.loc[[row], :],