diff --git a/poetry.lock b/poetry.lock
index 3279ecb..65196c1 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -3434,14 +3434,14 @@ pynndescent = ["pynndescent (>=0.5.0,<0.6.0)"]
 
 [[package]]
 name = "optuna"
-version = "4.8.0"
+version = "4.9.0"
 description = "A hyperparameter optimization framework"
 optional = false
 python-versions = ">=3.9"
 groups = ["main"]
 files = [
-    {file = "optuna-4.8.0-py3-none-any.whl", hash = "sha256:c57a7682679c36bfc9bca0da430698179e513874074b71bebedb0334964ab930"},
-    {file = "optuna-4.8.0.tar.gz", hash = "sha256:6f7043e9f8ecb5e607af86a7eb00fb5ec2be26c3b08c201209a73d36aff37a38"},
+    {file = "optuna-4.9.0-py3-none-any.whl", hash = "sha256:f52f3be6148654850c92a5860d398fd88ec6b2c84ab68d9c3d07dcff02e7afee"},
+    {file = "optuna-4.9.0.tar.gz", hash = "sha256:b322e5cbdf1655fb84c37646c4a7a1f391de1b47806bbe222e015825d0a82b87"},
 ]
 
 [package.dependencies]
@@ -3454,10 +3454,8 @@ sqlalchemy = ">=1.4.2"
 tqdm = "*"
 
 [package.extras]
-checking = ["mypy", "mypy_boto3_s3", "ruff", "scipy-stubs ; python_version >= \"3.10\"", "types-PyYAML", "types-redis", "types-setuptools", "types-tqdm", "typing_extensions (>=3.10.0.0)"]
-document = ["ase", "cmaes (>=0.12.0)", "fvcore", "kaleido (<0.4)", "lightgbm", "matplotlib (!=3.6.0)", "pandas", "pillow", "plotly (>=4.9.0)", "scikit-learn", "sphinx", "sphinx-copybutton", "sphinx-gallery", "sphinx-notfound-page", "sphinx_rtd_theme (>=1.2.0)", "torch", "torchvision"]
+document = ["ase", "cmaes (>=0.12.0)", "fvcore", "kaleido (!=0.2.1.post1,<0.4)", "lightgbm", "matplotlib (!=3.6.0)", "pandas", "pillow", "plotly (>=4.9.0)", "scikit-learn", "sphinx", "sphinx-copybutton", "sphinx-gallery", "sphinx-notfound-page", "sphinx_rtd_theme (>=1.2.0)", "torch", "torchvision"]
 optional = ["boto3", "cmaes (>=0.12.0)", "google-cloud-storage", "greenlet", "grpcio", "matplotlib (!=3.6.0)", "pandas", "plotly (>=4.9.0)", "protobuf (>=5.28.1)", "redis", "scikit-learn (>=0.24.2)", "scipy", "torch"]
-test = ["fakeredis[lua]", "greenlet", "grpcio", "kaleido (<0.4)", "moto", "protobuf (>=5.28.1)", "pytest", "pytest-xdist", "scipy (>=1.9.2)", "torch"]
 
 [[package]]
 name = "packaging"
@@ -6254,4 +6252,4 @@ propcache = ">=0.2.1"
 [metadata]
 lock-version = "2.1"
 python-versions = ">=3.10,<3.12"
-content-hash = "fca7cb9b188bc8cba34b83342cccc957bf3ac820126712966621968ccb095d00"
+content-hash = "8147c2f8b32347e5ed593ddba792c2949780d47f83ffe82fb420252628d68bcc"
diff --git a/pyproject.toml b/pyproject.toml
index 7aad7ae..491e964 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -41,7 +41,7 @@ tensorboard = "2.20.0" # inspection tool for deep learning
 openTSNE = "1.0.4" # fast t-SNE implementation
 SAlib = "1.5.2" # sensitivity analysis library
 scikit-image = "0.25.2" # image processing library
-optuna = "4.8.0" # hyperparameter optimization library
+optuna = "4.9.0" # hyperparameter optimization library
 hyppo = "^0.5.1" # hyppo
 future = "1.0.0" # Comptability between python2/3
 pcntoolkit ="0.35.0" # PCN Toolkit Framework