diff --git a/.github/workflows/ci.yaml b/.github/workflows/ci.yaml
index a0c6542..b8c0f9d 100644
--- a/.github/workflows/ci.yaml
+++ b/.github/workflows/ci.yaml
@@ -55,6 +55,10 @@ jobs:
             torch_version: "2.10"
           - torch_group: torch_2_11
             torch_version: "2.11"
+          - torch_group: torch_2_12
+            torch_version: "2.12"
+          - torch_group: torch_2_13
+            torch_version: "2.13"
     steps:
       - name: Check out repository
         uses: actions/checkout@df4cb1c069e1874edd31b4311f1884172cec0e10 # v6.0.3
diff --git a/Makefile b/Makefile
index 370fe9c..fa37879 100644
--- a/Makefile
+++ b/Makefile
@@ -56,7 +56,7 @@ VENV_TUTORIAL ?= .venv-tutorial
 # The torch_2_* groups (pyproject.toml [dependency-groups]) currently at
 # each end of the supported range. Bump these two lines — nothing else —
 # when the project's torch version bounds change.
-HIGHEST_TORCH_GROUP := torch_2_11
+HIGHEST_TORCH_GROUP := torch_2_13
 LOWEST_TORCH_GROUP := torch_2_8
 
 # Torch dependency group (pyproject.toml [dependency-groups]) that every
diff --git a/changelog.d/64.added b/changelog.d/64.added
new file mode 100644
index 0000000..a15a9ae
--- /dev/null
+++ b/changelog.d/64.added
@@ -0,0 +1 @@
+Added support for PyTorch 2.12 and 2.13.
diff --git a/pyproject.toml b/pyproject.toml
index c9eea89..4bba246 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -46,8 +46,9 @@ dependencies = [
     # based on other package versions. We can either 1) add a stricter check to require the newer torchao
     # version for everyone, or 2) add a runtime check in src/coreai_opt/init.py to ensure torchao
     # version >= 0.15.0 for torch version >= 2.9.0. Opting option 1.
-    # These torch versions must be in bounds of torch_2_8, torch_2_9, torch_2_10, and torch_2_11
-    "torch>=2.8.0,<=2.11.0",
+    # These torch versions must be in bounds of torch_2_8, torch_2_9, torch_2_10, torch_2_11,
+    # torch_2_12, and torch_2_13
+    "torch>=2.8.0,<=2.13.0",
     "torchao>=0.15.0,<=0.17.0",
     "tqdm>=4.65",
 ]
@@ -56,7 +57,10 @@ name = "Apple Core AI Optimization Team"
 [project.optional-dependencies]
 coreai = [
     "coreai-core==1.0.0b2",
-    "coreai-torch==0.4.1",
+    # TODO: Pin back to a released version once coreai-torch cuts a release past
+    # 0.4.1 (2026-07-01). main already dropped the torch<=2.13.0 ceiling
+    # (apple/coreai-torch#38, #39) that blocks torch_2_12/torch_2_13 below.
+    "coreai-torch",
     "scikit-learn>=1.7.2",
 ]
 coreml = [
@@ -141,6 +145,16 @@ torch_2_11 = [
     "torchao==0.17.0",
     "torchvision==0.26.0",
 ]
+torch_2_12 = [
+    "torch==2.12.1",
+    "torchao==0.17.0",
+    "torchvision==0.27.1",
+]
+torch_2_13 = [
+    "torch==2.13.0",
+    "torchao==0.17.0",
+    "torchvision==0.28.0",
+]
 torch_2_8 = [
     "torch==2.8.0",
     "torchao==0.15.0",
@@ -154,7 +168,7 @@ torch_2_9 = [
 # Since torch and torchao are project dependencies, we need to include torchvision in dev
 # This allows standard `make test` to find torchvision
 torchvision = [
-    "torchvision>=0.23.0,<=0.26.0",
+    "torchvision>=0.23.0,<=0.28.0",
 ]
 tutorial = [
     "ipykernel>=7.2.0",
@@ -182,7 +196,7 @@ find.where = [ "src" ]
 default-groups = [ "dev", "coreai", "coreml" ]
 index = [
     { explicit = true, name = "pytorch-cpu", url = "https://download.pytorch.org/whl/cpu" },
-    { explicit = true, name = "pytorch-cu128", url = "https://download.pytorch.org/whl/cu128" },
+    { explicit = true, name = "pytorch-cu129", url = "https://download.pytorch.org/whl/cu129" },
 ]
 # Only resolve for platforms where all dependencies (including coreai) exist
 environments = [
@@ -201,16 +215,21 @@ conflicts = [
         { group = "torch_2_9" },
         { group = "torch_2_10" },
         { group = "torch_2_11" },
+        { group = "torch_2_12" },
+        { group = "torch_2_13" },
     ],
 ]
 [tool.uv.sources]
+# TODO: Remove once coreai-torch cuts a release past 0.4.1 that includes the
+# torch<=2.13.0 ceiling removal from apple/coreai-torch#38/#39.
+coreai-torch = { git = "https://github.com/apple/coreai-torch", rev = "c89f6a44713249a12a84beec9f3e0cf2206ecc38" }
 torch = [
     { index = "pytorch-cpu", marker = "sys_platform != 'linux'" },
-    { index = "pytorch-cu128", marker = "sys_platform == 'linux'" },
+    { index = "pytorch-cu129", marker = "sys_platform == 'linux'" },
 ]
 torchvision = [
     { index = "pytorch-cpu", marker = "sys_platform != 'linux'" },
-    { index = "pytorch-cu128", marker = "sys_platform == 'linux'" },
+    { index = "pytorch-cu129", marker = "sys_platform == 'linux'" },
 ]
 
 [tool.ruff]
diff --git a/scripts/make/setup_env.sh b/scripts/make/setup_env.sh
index 77ebeba..40e651c 100755
--- a/scripts/make/setup_env.sh
+++ b/scripts/make/setup_env.sh
@@ -109,7 +109,8 @@ ENSURE_MODE=false
 
 # Groups excluded from --all-groups due to mutual conflicts in pyproject.toml.
 # tamm-export is omitted because it's opt-in only (never in default-groups or --all-groups).
-CONFLICTING_GROUPS=("torch_2_8" "torch_2_9" "torch_2_10" "torch_2_11")
+CONFLICTING_GROUPS=("torch_2_8" "torch_2_9" "torch_2_10"
+    "torch_2_11" "torch_2_12" "torch_2_13")
 
 show_help() {
     echo "Usage: $0 [OPTIONS]"
@@ -136,7 +137,7 @@ show_help() {
     echo "  $0 --python-version 3.11                               # Setup with dev group only"
     echo "  $0 --python-version 3.11 --with-docs                   # Setup with dev and docs groups"
     echo "  $0 --python-version 3.11 --all-groups                                    # Setup with all non-conflicting groups"
-    echo "  TORCH_GROUP=torch_2_11 $0 --python-version 3.11 --all-groups             # Setup with all groups and torch 2.11"
+    echo "  TORCH_GROUP=torch_2_13 $0 --python-version 3.11 --all-groups             # Setup with all groups and torch 2.13"
     echo "  TORCH_GROUP=torch_2_8 $0 --python-version 3.11 --all-groups              # Setup with all groups and torch 2.8"
     echo "  $0 --python-version 3.11 --venv .venv-exp              # Setup with custom venv name"
     echo "  $0 --python-version 3.11 --with-docs --venv .venv-exp  # Setup with docs group and custom venv name"