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Exact Feature Distribution Matching for Arbitrary Style Transfer and Domain Generalization (2203.07740v2)

Published 15 Mar 2022 in cs.CV

Abstract: Arbitrary style transfer (AST) and domain generalization (DG) are important yet challenging visual learning tasks, which can be cast as a feature distribution matching problem. With the assumption of Gaussian feature distribution, conventional feature distribution matching methods usually match the mean and standard deviation of features. However, the feature distributions of real-world data are usually much more complicated than Gaussian, which cannot be accurately matched by using only the first-order and second-order statistics, while it is computationally prohibitive to use high-order statistics for distribution matching. In this work, we, for the first time to our best knowledge, propose to perform Exact Feature Distribution Matching (EFDM) by exactly matching the empirical Cumulative Distribution Functions (eCDFs) of image features, which could be implemented by applying the Exact Histogram Matching (EHM) in the image feature space. Particularly, a fast EHM algorithm, named Sort-Matching, is employed to perform EFDM in a plug-and-play manner with minimal cost. The effectiveness of our proposed EFDM method is verified on a variety of AST and DG tasks, demonstrating new state-of-the-art results. Codes are available at https://github.com/YBZh/EFDM.

Citations (135)

Summary

  • The paper introduces Exact Feature Distribution Matching (EFDM) using a fast sort-matching algorithm to precisely align empirical feature distributions.
  • It applies EFDM to arbitrary style transfer by capturing high-order statistics, resulting in superior and photorealistic stylizations.
  • For domain generalization, the EFDMix variant enhances feature augmentation diversity, significantly improving cross-domain adaptation performance.

Exact Feature Distribution Matching for Arbitrary Style Transfer and Domain Generalization

The paper by Zhang et al. presents a methodological advancement in the domain of visual learning tasks specifically focused on arbitrary style transfer (AST) and domain generalization (DG). The authors introduce a novel technique termed Exact Feature Distribution Matching (EFDM) which targets the efficient and precise matching of feature distributions by taking into account empirical Cumulative Distribution Functions (eCDFs). The primary impetus of this research is the apparent inadequacy of traditional Gaussian-based distribution assumptions in capturing the complex statistical nature of real-world data.

Methodology Overview

The core contribution of this paper is the proposal to utilize the Exact Histogram Matching (EHM) approach in the feature space via a fast Sort-Matching algorithm. This method efficaciously matches eCDFs of image features, asserting precise distribution alignment. Notably, Sort-Matching distinguishes between equivalent feature values, implementing an element-wise transformation that surpasses the limitations typically found in Histogram Matching (HM).

In the context of AST, the EFDM technique is applied to match the image features from content and style images at a high level of fidelity, going beyond previous methods reliant on merely first-order (mean) and second-order (standard deviation) statistics. This enhancement allows for capturing high-order statistics implicitly and using these insights into generating superior stylized outputs that align more closely with target styles while preserving essential content features.

For DG tasks, the research leverages EFDM to produce more diverse feature augmentations without introducing prohibitive computational costs. By incorporating Exact Feature Distribution Mixing (EFDMix), a variant extending EFDM with mixed style interpolations, the enhancement to feature augmentation diversity is documented to significantly improve domain adaptation.

Experimental Evaluation

Empirical analyses demonstrate the strengths of EFDM in facilitating state-of-the-art performance across a variety of AST and DG benchmarks. Specifically, in AST tasks, the EFDM-based approach is shown to produce visually appealing transformations that maintain structural integrity and are more photorealistic compared to existing methods. For DG, the EFDMix method notably increases the diversity in augmented features, leading to superior generalization performances on tasks involving cross-domain data.

Practical and Theoretical Implications

The successful implementation of EFDM suggests profound implications for visual learning. Practically, its integration into existing frameworks for AST and DG applications offers a parameter-free, plug-and-play solution which can be incorporated with minimal code alterations. Theoretically, this work expands the possibilities within statistical learning, challenging prevalent assumptions around Gaussian distributions in feature matching and advocating for a more empirical distribution-focused approach.

Future Directions

Future exploration could delve into more sophisticated applications of EFDM beyond visual learning, perhaps evaluating its potential in other complex distribution-matching tasks. Additionally, there is scope for examining the scalability of EFDM in larger, more complex models and datasets to establish comprehensive generalization capabilities.

Overall, the exact alignment enabled by EFDM presents foundational enhancements to how machine learning systems perceive and process stylistic and domain adaptations, promising more accurate and adaptive AI systems.