Localized Structured Prediction
This work provides a foundational framework for structured prediction in domains like computer vision, addressing a key bottleneck in handling part-based data.
The authors tackled the problem of structured prediction for part-based data by proposing a theoretical framework and deriving a novel approach, showing improved learning rates by explicitly quantifying the benefits of leveraging local structure.
Key to structured prediction is exploiting the problem structure to simplify the learning process. A major challenge arises when data exhibit a local structure (e.g., are made by "parts") that can be leveraged to better approximate the relation between (parts of) the input and (parts of) the output. Recent literature on signal processing, and in particular computer vision, has shown that capturing these aspects is indeed essential to achieve state-of-the-art performance. While such algorithms are typically derived on a case-by-case basis, in this work we propose the first theoretical framework to deal with part-based data from a general perspective. We derive a novel approach to deal with these problems and study its generalization properties within the setting of statistical learning theory. Our analysis is novel in that it explicitly quantifies the benefits of leveraging the part-based structure of the problem with respect to the learning rates of the proposed estimator.