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I am using the Object Detection API and already have a trained model for my specific object classes.

With my task, there will be more and more object classes over time. Since retraining on the combined data sets takes very long, I am interested in a way to only train the pre-trained net on the new data.

I have found this: Retrain Tensorflow Object detection API but since I would need to load the checkpoint on the already trained data and train it again on a combined dataset, which contains the old data, wouldn't that lead to severe over fitting on the old data?

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No actually, we usually call this trick as fine-tune. The new training dataset containing both old classes and new classes enables CNN to learn a more general representation for all those classes.

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