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---
library_name: pytorch
license: apache-2.0
tags:
- real_time
- quantized
- android
pipeline_tag: object-detection
---

# MediaPipe-Face-Detection-Quantized: Optimized for Mobile Deployment
## Detect faces and locate facial features in real-time video and image streams
Designed for sub-millisecond processing, this model predicts bounding boxes and pose skeletons (left eye, right eye, nose tip, mouth, left eye tragion, and right eye tragion) of faces in an image.
This model is an implementation of MediaPipe-Face-Detection-Quantized found [here](https://github.com/zmurez/MediaPipePyTorch/).
This repository provides scripts to run MediaPipe-Face-Detection-Quantized on Qualcomm® devices.
More details on model performance across various devices, can be found
[here](https://aihub.qualcomm.com/models/mediapipe_face_quantized).
### Model Details
- **Model Type:** Object detection
- **Model Stats:**
- Input resolution: 256x256
- Number of output classes: 6
- Number of parameters (MediaPipeFaceDetector): 135K
- Model size (MediaPipeFaceDetector): 255 KB
- Number of parameters (MediaPipeFaceLandmarkDetector): 603K
- Model size (MediaPipeFaceLandmarkDetector): 746 KB
| Model | Device | Chipset | Target Runtime | Inference Time (ms) | Peak Memory Range (MB) | Precision | Primary Compute Unit | Target Model
|---|---|---|---|---|---|---|---|---|
| MediaPipeFaceDetector | Samsung Galaxy S23 | Snapdragon® 8 Gen 2 | TFLITE | 0.264 ms | 0 - 11 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | Samsung Galaxy S23 | Snapdragon® 8 Gen 2 | QNN | 0.242 ms | 0 - 3 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.so](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.so) |
| MediaPipeFaceDetector | Samsung Galaxy S23 | Snapdragon® 8 Gen 2 | ONNX | 0.746 ms | 0 - 10 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.onnx](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.onnx) |
| MediaPipeFaceDetector | Samsung Galaxy S24 | Snapdragon® 8 Gen 3 | TFLITE | 0.181 ms | 0 - 27 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | Samsung Galaxy S24 | Snapdragon® 8 Gen 3 | QNN | 0.165 ms | 0 - 21 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.so](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.so) |
| MediaPipeFaceDetector | Samsung Galaxy S24 | Snapdragon® 8 Gen 3 | ONNX | 0.519 ms | 0 - 34 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.onnx](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.onnx) |
| MediaPipeFaceDetector | Snapdragon 8 Elite QRD | Snapdragon® 8 Elite | TFLITE | 0.156 ms | 0 - 23 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | Snapdragon 8 Elite QRD | Snapdragon® 8 Elite | QNN | 0.167 ms | 0 - 23 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceDetector | Snapdragon 8 Elite QRD | Snapdragon® 8 Elite | ONNX | 0.514 ms | 0 - 23 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.onnx](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.onnx) |
| MediaPipeFaceDetector | SA7255P ADP | SA7255P | TFLITE | 2.032 ms | 0 - 17 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | SA7255P ADP | SA7255P | QNN | 1.872 ms | 0 - 10 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceDetector | SA8255 (Proxy) | SA8255P Proxy | TFLITE | 0.267 ms | 0 - 11 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | SA8255 (Proxy) | SA8255P Proxy | QNN | 0.243 ms | 0 - 2 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceDetector | SA8295P ADP | SA8295P | TFLITE | 0.618 ms | 0 - 22 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | SA8295P ADP | SA8295P | QNN | 0.57 ms | 0 - 18 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceDetector | SA8650 (Proxy) | SA8650P Proxy | TFLITE | 0.265 ms | 0 - 11 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | SA8650 (Proxy) | SA8650P Proxy | QNN | 0.245 ms | 0 - 2 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceDetector | SA8775P ADP | SA8775P | TFLITE | 0.552 ms | 0 - 17 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | SA8775P ADP | SA8775P | QNN | 0.501 ms | 0 - 10 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceDetector | RB3 Gen 2 (Proxy) | QCS6490 Proxy | TFLITE | 0.709 ms | 0 - 25 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | RB3 Gen 2 (Proxy) | QCS6490 Proxy | QNN | 0.63 ms | 0 - 14 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceDetector | RB5 (Proxy) | QCS8250 Proxy | TFLITE | 5.046 ms | 0 - 2 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | QCS8275 (Proxy) | QCS8275 Proxy | TFLITE | 2.032 ms | 0 - 17 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | QCS8275 (Proxy) | QCS8275 Proxy | QNN | 1.872 ms | 0 - 10 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceDetector | QCS8550 (Proxy) | QCS8550 Proxy | TFLITE | 0.271 ms | 0 - 6 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | QCS8550 (Proxy) | QCS8550 Proxy | QNN | 0.245 ms | 0 - 3 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceDetector | QCS9075 (Proxy) | QCS9075 Proxy | TFLITE | 0.552 ms | 0 - 17 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | QCS9075 (Proxy) | QCS9075 Proxy | QNN | 0.501 ms | 0 - 10 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceDetector | QCS8450 (Proxy) | QCS8450 Proxy | TFLITE | 0.38 ms | 0 - 31 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.tflite) |
| MediaPipeFaceDetector | QCS8450 (Proxy) | QCS8450 Proxy | QNN | 0.357 ms | 0 - 24 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceDetector | Snapdragon X Elite CRD | Snapdragon® X Elite | QNN | 0.333 ms | 0 - 0 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceDetector | Snapdragon X Elite CRD | Snapdragon® X Elite | ONNX | 0.772 ms | 1 - 1 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.onnx](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceDetector.onnx) |
| MediaPipeFaceLandmarkDetector | Samsung Galaxy S23 | Snapdragon® 8 Gen 2 | TFLITE | 0.182 ms | 0 - 11 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | Samsung Galaxy S23 | Snapdragon® 8 Gen 2 | QNN | 0.154 ms | 0 - 2 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.so](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.so) |
| MediaPipeFaceLandmarkDetector | Samsung Galaxy S23 | Snapdragon® 8 Gen 2 | ONNX | 0.505 ms | 0 - 11 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.onnx](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.onnx) |
| MediaPipeFaceLandmarkDetector | Samsung Galaxy S24 | Snapdragon® 8 Gen 3 | TFLITE | 0.131 ms | 0 - 24 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | Samsung Galaxy S24 | Snapdragon® 8 Gen 3 | QNN | 0.116 ms | 0 - 21 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.so](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.so) |
| MediaPipeFaceLandmarkDetector | Samsung Galaxy S24 | Snapdragon® 8 Gen 3 | ONNX | 0.329 ms | 28 - 52 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.onnx](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.onnx) |
| MediaPipeFaceLandmarkDetector | Snapdragon 8 Elite QRD | Snapdragon® 8 Elite | TFLITE | 0.141 ms | 0 - 19 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | Snapdragon 8 Elite QRD | Snapdragon® 8 Elite | QNN | 0.123 ms | 0 - 20 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceLandmarkDetector | Snapdragon 8 Elite QRD | Snapdragon® 8 Elite | ONNX | 0.29 ms | 0 - 21 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.onnx](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.onnx) |
| MediaPipeFaceLandmarkDetector | SA7255P ADP | SA7255P | TFLITE | 0.88 ms | 0 - 12 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | SA7255P ADP | SA7255P | QNN | 0.796 ms | 0 - 10 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceLandmarkDetector | SA8255 (Proxy) | SA8255P Proxy | TFLITE | 0.184 ms | 0 - 10 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | SA8255 (Proxy) | SA8255P Proxy | QNN | 0.153 ms | 0 - 2 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceLandmarkDetector | SA8295P ADP | SA8295P | TFLITE | 0.499 ms | 0 - 20 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | SA8295P ADP | SA8295P | QNN | 0.462 ms | 0 - 17 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceLandmarkDetector | SA8650 (Proxy) | SA8650P Proxy | TFLITE | 0.181 ms | 0 - 10 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | SA8650 (Proxy) | SA8650P Proxy | QNN | 0.151 ms | 0 - 2 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceLandmarkDetector | SA8775P ADP | SA8775P | TFLITE | 0.424 ms | 0 - 12 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | SA8775P ADP | SA8775P | QNN | 0.374 ms | 0 - 10 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceLandmarkDetector | RB3 Gen 2 (Proxy) | QCS6490 Proxy | TFLITE | 0.42 ms | 0 - 15 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | RB3 Gen 2 (Proxy) | QCS6490 Proxy | QNN | 0.388 ms | 0 - 13 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceLandmarkDetector | RB5 (Proxy) | QCS8250 Proxy | TFLITE | 2.782 ms | 0 - 11 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | QCS8275 (Proxy) | QCS8275 Proxy | TFLITE | 0.88 ms | 0 - 12 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | QCS8275 (Proxy) | QCS8275 Proxy | QNN | 0.796 ms | 0 - 10 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceLandmarkDetector | QCS8550 (Proxy) | QCS8550 Proxy | TFLITE | 0.171 ms | 0 - 10 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | QCS8550 (Proxy) | QCS8550 Proxy | QNN | 0.149 ms | 0 - 3 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceLandmarkDetector | QCS9075 (Proxy) | QCS9075 Proxy | TFLITE | 0.424 ms | 0 - 12 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | QCS9075 (Proxy) | QCS9075 Proxy | QNN | 0.374 ms | 0 - 10 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceLandmarkDetector | QCS8450 (Proxy) | QCS8450 Proxy | TFLITE | 0.281 ms | 0 - 22 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.tflite](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.tflite) |
| MediaPipeFaceLandmarkDetector | QCS8450 (Proxy) | QCS8450 Proxy | QNN | 0.266 ms | 0 - 23 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceLandmarkDetector | Snapdragon X Elite CRD | Snapdragon® X Elite | QNN | 0.225 ms | 0 - 0 MB | FP16 | NPU | Use Export Script |
| MediaPipeFaceLandmarkDetector | Snapdragon X Elite CRD | Snapdragon® X Elite | ONNX | 0.474 ms | 0 - 0 MB | FP16 | NPU | [MediaPipe-Face-Detection-Quantized.onnx](https://huggingface.co/qualcomm/MediaPipe-Face-Detection-Quantized/blob/main/MediaPipeFaceLandmarkDetector.onnx) |
## Installation
Install the package via pip:
```bash
pip install "qai-hub-models[mediapipe-face-quantized]"
```
## Configure Qualcomm® AI Hub to run this model on a cloud-hosted device
Sign-in to [Qualcomm® AI Hub](https://app.aihub.qualcomm.com/) with your
Qualcomm® ID. Once signed in navigate to `Account -> Settings -> API Token`.
With this API token, you can configure your client to run models on the cloud
hosted devices.
```bash
qai-hub configure --api_token API_TOKEN
```
Navigate to [docs](https://app.aihub.qualcomm.com/docs/) for more information.
## Demo off target
The package contains a simple end-to-end demo that downloads pre-trained
weights and runs this model on a sample input.
```bash
python -m qai_hub_models.models.mediapipe_face_quantized.demo
```
The above demo runs a reference implementation of pre-processing, model
inference, and post processing.
**NOTE**: If you want running in a Jupyter Notebook or Google Colab like
environment, please add the following to your cell (instead of the above).
```
%run -m qai_hub_models.models.mediapipe_face_quantized.demo
```
### Run model on a cloud-hosted device
In addition to the demo, you can also run the model on a cloud-hosted Qualcomm®
device. This script does the following:
* Performance check on-device on a cloud-hosted device
* Downloads compiled assets that can be deployed on-device for Android.
* Accuracy check between PyTorch and on-device outputs.
```bash
python -m qai_hub_models.models.mediapipe_face_quantized.export
```
```
Profiling Results
------------------------------------------------------------
MediaPipeFaceDetector
Device : Samsung Galaxy S23 (13)
Runtime : TFLITE
Estimated inference time (ms) : 0.3
Estimated peak memory usage (MB): [0, 11]
Total # Ops : 121
Compute Unit(s) : NPU (121 ops)
------------------------------------------------------------
MediaPipeFaceLandmarkDetector
Device : Samsung Galaxy S23 (13)
Runtime : TFLITE
Estimated inference time (ms) : 0.2
Estimated peak memory usage (MB): [0, 11]
Total # Ops : 116
Compute Unit(s) : NPU (116 ops)
```
## Deploying compiled model to Android
The models can be deployed using multiple runtimes:
- TensorFlow Lite (`.tflite` export): [This
tutorial](https://www.tensorflow.org/lite/android/quickstart) provides a
guide to deploy the .tflite model in an Android application.
- QNN (`.so` export ): This [sample
app](https://docs.qualcomm.com/bundle/publicresource/topics/80-63442-50/sample_app.html)
provides instructions on how to use the `.so` shared library in an Android application.
## View on Qualcomm® AI Hub
Get more details on MediaPipe-Face-Detection-Quantized's performance across various devices [here](https://aihub.qualcomm.com/models/mediapipe_face_quantized).
Explore all available models on [Qualcomm® AI Hub](https://aihub.qualcomm.com/)
## License
* The license for the original implementation of MediaPipe-Face-Detection-Quantized can be found
[here](https://github.com/zmurez/MediaPipePyTorch/blob/master/LICENSE).
* The license for the compiled assets for on-device deployment can be found [here](https://qaihub-public-assets.s3.us-west-2.amazonaws.com/qai-hub-models/Qualcomm+AI+Hub+Proprietary+License.pdf)
## References
* [BlazeFace: Sub-millisecond Neural Face Detection on Mobile GPUs](https://arxiv.org/abs/1907.05047)
* [Source Model Implementation](https://github.com/zmurez/MediaPipePyTorch/)
## Community
* Join [our AI Hub Slack community](https://aihub.qualcomm.com/community/slack) to collaborate, post questions and learn more about on-device AI.
* For questions or feedback please [reach out to us](mailto:[email protected]).
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