diff --git a/ci/release/update-version.sh b/ci/release/update-version.sh
index c091bd1ed33..9e284f49b5b 100755
--- a/ci/release/update-version.sh
+++ b/ci/release/update-version.sh
@@ -1,5 +1,5 @@
 #!/bin/bash
-# Copyright (c) 2018-2023, NVIDIA CORPORATION.
+# Copyright (c) 2018-2024, NVIDIA CORPORATION.
 # Licensed under the Apache License, Version 2.0 (the "License");
 # you may not use this file except in compliance with the License.
 # You may obtain a copy of the License at
@@ -96,13 +96,12 @@ DEPENDENCIES=(
 )
 for DEP in "${DEPENDENCIES[@]}"; do
   for FILE in dependencies.yaml conda/environments/*.yaml python/cugraph-{pyg,dgl}/conda/*.yaml; do
-    sed_runner "/-.* ${DEP}==/ s/==.*/==${NEXT_SHORT_TAG_PEP440}.*/g" ${FILE}
-    sed_runner "/-.* ${DEP}-cu[0-9][0-9]==/ s/==.*/==${NEXT_SHORT_TAG_PEP440}.*/g" ${FILE}
-    sed_runner "/-.* ucx-py==/ s/==.*/==${NEXT_UCX_PY_VERSION}.*/g" ${FILE}
+    sed_runner "/-.* ${DEP}\(-cu[[:digit:]]\{2\}\)\{0,1\}==/ s/==.*/==${NEXT_SHORT_TAG_PEP440}.*/g" "${FILE}"
+    sed_runner "/-.* ucx-py==/ s/==.*/==${NEXT_UCX_PY_VERSION}.*/g" "${FILE}"
   done
   for FILE in python/**/pyproject.toml python/**/**/pyproject.toml; do
-    sed_runner "/\"${DEP}==/ s/==.*\"/==${NEXT_SHORT_TAG_PEP440}.*\"/g" ${FILE}
-    sed_runner "/\"ucx-py==/ s/==.*\"/==${NEXT_UCX_PY_VERSION}.*\"/g" ${FILE}
+    sed_runner "/\"${DEP}\(-cu[[:digit:]]\{2\}\)\{0,1\}==/ s/==.*\"/==${NEXT_SHORT_TAG_PEP440}.*\"/g" "${FILE}"
+    sed_runner "/\"ucx-py==/ s/==.*\"/==${NEXT_UCX_PY_VERSION}.*\"/g" "${FILE}"
   done
 done
 
diff --git a/dependencies.yaml b/dependencies.yaml
index b91c1f2addc..eee9ca41313 100644
--- a/dependencies.yaml
+++ b/dependencies.yaml
@@ -545,17 +545,12 @@ dependencies:
     specific:
       - output_types: [requirements, pyproject]
         matrices:
-          - matrix: {cuda: "12.2"}
-            packages: &rmm_packages_pip_cu12
+          - matrix: {cuda: "12.*"}
+            packages:
               - rmm-cu12==24.4.*
-          - {matrix: {cuda: "12.1"}, packages: *rmm_packages_pip_cu12}
-          - {matrix: {cuda: "12.0"}, packages: *rmm_packages_pip_cu12}
-          - matrix: {cuda: "11.8"}
-            packages: &rmm_packages_pip_cu11
+          - matrix: {cuda: "11.*"}
+            packages:
               - rmm-cu11==24.4.*
-          - {matrix: {cuda: "11.5"}, packages: *rmm_packages_pip_cu11}
-          - {matrix: {cuda: "11.4"}, packages: *rmm_packages_pip_cu11}
-          - {matrix: {cuda: "11.2"}, packages: *rmm_packages_pip_cu11}
           - {matrix: null, packages: [*rmm_conda]}
 
   depends_on_cudf:
@@ -571,17 +566,12 @@ dependencies:
     specific:
       - output_types: [requirements, pyproject]
         matrices:
-          - matrix: {cuda: "12.2"}
-            packages: &cudf_packages_pip_cu12
+          - matrix: {cuda: "12.*"}
+            packages:
               - cudf-cu12==24.4.*
-          - {matrix: {cuda: "12.1"}, packages: *cudf_packages_pip_cu12}
-          - {matrix: {cuda: "12.0"}, packages: *cudf_packages_pip_cu12}
-          - matrix: {cuda: "11.8"}
-            packages: &cudf_packages_pip_cu11
+          - matrix: {cuda: "11.*"}
+            packages:
               - cudf-cu11==24.4.*
-          - {matrix: {cuda: "11.5"}, packages: *cudf_packages_pip_cu11}
-          - {matrix: {cuda: "11.4"}, packages: *cudf_packages_pip_cu11}
-          - {matrix: {cuda: "11.2"}, packages: *cudf_packages_pip_cu11}
           - {matrix: null, packages: [*cudf_conda]}
 
   depends_on_dask_cudf:
@@ -597,17 +587,12 @@ dependencies:
     specific:
       - output_types: [requirements, pyproject]
         matrices:
-          - matrix: {cuda: "12.2"}
-            packages: &dask_cudf_packages_pip_cu12
+          - matrix: {cuda: "12.*"}
+            packages:
               - dask-cudf-cu12==24.4.*
-          - {matrix: {cuda: "12.1"}, packages: *dask_cudf_packages_pip_cu12}
-          - {matrix: {cuda: "12.0"}, packages: *dask_cudf_packages_pip_cu12}
-          - matrix: {cuda: "11.8"}
-            packages: &dask_cudf_packages_pip_cu11
+          - matrix: {cuda: "11.*"}
+            packages:
               - dask-cudf-cu11==24.4.*
-          - {matrix: {cuda: "11.5"}, packages: *dask_cudf_packages_pip_cu11}
-          - {matrix: {cuda: "11.4"}, packages: *dask_cudf_packages_pip_cu11}
-          - {matrix: {cuda: "11.2"}, packages: *dask_cudf_packages_pip_cu11}
           - {matrix: null, packages: [*dask_cudf_conda]}
 
   depends_on_pylibraft:
@@ -623,17 +608,12 @@ dependencies:
     specific:
       - output_types: [requirements, pyproject]
         matrices:
-          - matrix: {cuda: "12.2"}
-            packages: &pylibraft_packages_pip_cu12
+          - matrix: {cuda: "12.*"}
+            packages:
               - pylibraft-cu12==24.4.*
-          - {matrix: {cuda: "12.1"}, packages: *pylibraft_packages_pip_cu12}
-          - {matrix: {cuda: "12.0"}, packages: *pylibraft_packages_pip_cu12}
-          - matrix: {cuda: "11.8"}
-            packages: &pylibraft_packages_pip_cu11
+          - matrix: {cuda: "11.*"}
+            packages:
               - pylibraft-cu11==24.4.*
-          - {matrix: {cuda: "11.5"}, packages: *pylibraft_packages_pip_cu11}
-          - {matrix: {cuda: "11.4"}, packages: *pylibraft_packages_pip_cu11}
-          - {matrix: {cuda: "11.2"}, packages: *pylibraft_packages_pip_cu11}
           - {matrix: null, packages: [*pylibraft_conda]}
 
   depends_on_raft_dask:
@@ -649,17 +629,12 @@ dependencies:
     specific:
       - output_types: [requirements, pyproject]
         matrices:
-          - matrix: {cuda: "12.2"}
-            packages: &raft_dask_packages_pip_cu12
+          - matrix: {cuda: "12.*"}
+            packages:
               - raft-dask-cu12==24.4.*
-          - {matrix: {cuda: "12.1"}, packages: *raft_dask_packages_pip_cu12}
-          - {matrix: {cuda: "12.0"}, packages: *raft_dask_packages_pip_cu12}
-          - matrix: {cuda: "11.8"}
-            packages: &raft_dask_packages_pip_cu11
+          - matrix: {cuda: "11.*"}
+            packages:
               - raft-dask-cu11==24.4.*
-          - {matrix: {cuda: "11.5"}, packages: *raft_dask_packages_pip_cu11}
-          - {matrix: {cuda: "11.4"}, packages: *raft_dask_packages_pip_cu11}
-          - {matrix: {cuda: "11.2"}, packages: *raft_dask_packages_pip_cu11}
           - {matrix: null, packages: [*raft_dask_conda]}
 
   depends_on_pylibcugraph:
@@ -675,17 +650,12 @@ dependencies:
     specific:
       - output_types: [requirements, pyproject]
         matrices:
-          - matrix: {cuda: "12.2"}
-            packages: &pylibcugraph_packages_pip_cu12
+          - matrix: {cuda: "12.*"}
+            packages:
               - pylibcugraph-cu12==24.4.*
-          - {matrix: {cuda: "12.1"}, packages: *pylibcugraph_packages_pip_cu12}
-          - {matrix: {cuda: "12.0"}, packages: *pylibcugraph_packages_pip_cu12}
-          - matrix: {cuda: "11.8"}
-            packages: &pylibcugraph_packages_pip_cu11
+          - matrix: {cuda: "11.*"}
+            packages:
               - pylibcugraph-cu11==24.4.*
-          - {matrix: {cuda: "11.5"}, packages: *pylibcugraph_packages_pip_cu11}
-          - {matrix: {cuda: "11.4"}, packages: *pylibcugraph_packages_pip_cu11}
-          - {matrix: {cuda: "11.2"}, packages: *pylibcugraph_packages_pip_cu11}
           - {matrix: null, packages: [*pylibcugraph_conda]}
 
   depends_on_pylibcugraphops:
@@ -701,17 +671,12 @@ dependencies:
     specific:
       - output_types: [requirements, pyproject]
         matrices:
-          - matrix: {cuda: "12.2"}
-            packages: &pylibcugraphops_packages_pip_cu12
+          - matrix: {cuda: "12.*"}
+            packages:
               - pylibcugraphops-cu12==24.4.*
-          - {matrix: {cuda: "12.1"}, packages: *pylibcugraphops_packages_pip_cu12}
-          - {matrix: {cuda: "12.0"}, packages: *pylibcugraphops_packages_pip_cu12}
-          - matrix: {cuda: "11.8"}
-            packages: &pylibcugraphops_packages_pip_cu11
+          - matrix: {cuda: "11.*"}
+            packages:
               - pylibcugraphops-cu11==24.4.*
-          - {matrix: {cuda: "11.5"}, packages: *pylibcugraphops_packages_pip_cu11}
-          - {matrix: {cuda: "11.4"}, packages: *pylibcugraphops_packages_pip_cu11}
-          - {matrix: {cuda: "11.2"}, packages: *pylibcugraphops_packages_pip_cu11}
           - {matrix: null, packages: [*pylibcugraphops_conda]}
 
   depends_on_cupy:
@@ -722,33 +687,10 @@ dependencies:
     specific:
       - output_types: [requirements, pyproject]
         matrices:
-          # All CUDA 12 + x86_64 versions
-          - matrix: {cuda: "12.2", arch: x86_64}
-            packages: &cupy_packages_cu12_x86_64
+          - matrix: {cuda: "12.*"}
+            packages:
               - cupy-cuda12x>=12.0.0
-          - {matrix: {cuda: "12.1", arch: x86_64}, packages: *cupy_packages_cu12_x86_64}
-          - {matrix: {cuda: "12.0", arch: x86_64}, packages: *cupy_packages_cu12_x86_64}
-
-          # All CUDA 12 + aarch64 versions
-          - matrix: {cuda: "12.2", arch: aarch64}
-            packages: &cupy_packages_cu12_aarch64
-              - cupy-cuda12x -f https://pip.cupy.dev/aarch64 # TODO: Verify that this works.
-          - {matrix: {cuda: "12.1", arch: aarch64}, packages: *cupy_packages_cu12_aarch64}
-          - {matrix: {cuda: "12.0", arch: aarch64}, packages: *cupy_packages_cu12_aarch64}
-
-          # All CUDA 11 + x86_64 versions
-          - matrix: {cuda: "11.8", arch: x86_64}
-            packages: &cupy_packages_cu11_x86_64
+          - matrix: {cuda: "11.*"}
+            packages:
               - cupy-cuda11x>=12.0.0
-          - {matrix: {cuda: "11.5", arch: x86_64}, packages: *cupy_packages_cu11_x86_64}
-          - {matrix: {cuda: "11.4", arch: x86_64}, packages: *cupy_packages_cu11_x86_64}
-          - {matrix: {cuda: "11.2", arch: x86_64}, packages: *cupy_packages_cu11_x86_64}
-
-          # All CUDA 11 + aarch64 versions
-          - matrix: {cuda: "11.8", arch: aarch64}
-            packages: &cupy_packages_cu11_aarch64
-              - cupy-cuda11x -f https://pip.cupy.dev/aarch64 # TODO: Verify that this works.
-          - {matrix: {cuda: "11.5", arch: aarch64}, packages: *cupy_packages_cu11_aarch64}
-          - {matrix: {cuda: "11.4", arch: aarch64}, packages: *cupy_packages_cu11_aarch64}
-          - {matrix: {cuda: "11.2", arch: aarch64}, packages: *cupy_packages_cu11_aarch64}
           - {matrix: null, packages: [cupy-cuda11x>=12.0.0]}