feat(criteria): add binding-local loss registries

.github/workflows/ci.yml

@@ -336,6 +336,32 @@ jobs:
           python scripts/smoke_python_bindings.py
           python scripts/smoke_python_integration.py external/dag-ml-data
 
+  r-bindings:
+    name: R bindings
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v7
+      - uses: r-lib/actions/setup-r@v2
+      - name: Install R dependencies
+        run: Rscript -e 'install.packages("jsonlite", repos = "https://cloud.r-project.org")'
+      - name: Build R source package
+        run: |
+          mkdir -p target/r
+          cd target/r
+          R CMD build ../../bindings/r
+      - name: Check R source package
+        run: R CMD check --no-manual target/r/dagml_*.tar.gz
+
+  matlab-octave-bindings:
+    name: MATLAB/Octave bindings
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v7
+      - name: Install GNU Octave
+        run: sudo apt-get update && sudo apt-get install --yes octave
+      - name: Test local implementation registry
+        run: octave --no-gui --quiet --eval "addpath('bindings/matlab/tests'); local_implementation_registry"
+
   wasm-bindings:
     name: WASM bindings Node ${{ matrix.node-version }}
     needs: contract-lockstep

bindings/matlab/README.md

@@ -0,0 +1,28 @@
+# DAG-ML MATLAB/Octave binding
+
+`dagml.LocalImplementationRegistry` is the MATLAB-owned process-local
+implementation registry. It retains loss and metric `function_handle` objects
+under exact DAG-ML descriptors; executable objects are never written into DAG
+JSON contracts.
+
+```matlab
+implementations = dagml.LocalImplementationRegistry();
+implementations.registerLoss(lossReference, @asymmetricLoss);
+
+[value, attestation] = implementations.invokeTrainingLoss( ...
+    nodeTask, 1, yTrue, yPred);
+result.lineage.loss_attestations = {attestation};
+```
+
+`invokeTrainingLoss` accepts only `FIT_CV` and `REFIT`. It validates the active
+role against `NodeTask.required_loss_attestations`, executes the local function,
+and returns the native-produced attestation only after successful execution.
+Each MATLAB process, parallel worker, Octave process, or replay process must
+register its own local functions.
+
+Run the binding test with GNU Octave:
+
+```bash
+octave --no-gui --quiet --eval \
+  "addpath('bindings/matlab/tests'); local_implementation_registry"
+```