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Bridging Theory and Algorithm for Domain Adaptation (1904.05801v2)

Published 11 Apr 2019 in cs.LG and stat.ML

Abstract: This paper addresses the problem of unsupervised domain adaption from theoretical and algorithmic perspectives. Existing domain adaptation theories naturally imply minimax optimization algorithms, which connect well with the domain adaptation methods based on adversarial learning. However, several disconnections still exist and form the gap between theory and algorithm. We extend previous theories (Mansour et al., 2009c; Ben-David et al., 2010) to multiclass classification in domain adaptation, where classifiers based on the scoring functions and margin loss are standard choices in algorithm design. We introduce Margin Disparity Discrepancy, a novel measurement with rigorous generalization bounds, tailored to the distribution comparison with the asymmetric margin loss, and to the minimax optimization for easier training. Our theory can be seamlessly transformed into an adversarial learning algorithm for domain adaptation, successfully bridging the gap between theory and algorithm. A series of empirical studies show that our algorithm achieves the state of the art accuracies on challenging domain adaptation tasks.

Citations (661)

Summary

  • The paper introduces a novel measurement, Margin Disparity Discrepancy (MDD), to extend theoretical domain adaptation models into multiclass settings.
  • It proposes an adversarial learning algorithm that employs a combined cross-entropy loss and novel scoring functions to optimize feature extraction and classification.
  • Empirical results on Office-31, Office-Home, and VisDA-2017 datasets demonstrate state-of-the-art performance and validate the algorithm's practical applicability.

Bridging Theory and Algorithm for Domain Adaptation

The paper "Bridging Theory and Algorithm for Domain Adaptation" explores the unsupervised domain adaptation problem through both theoretical frameworks and practical algorithms. The authors address existing disconnections between theoretical models and algorithmic implementations in domain adaptation, particularly concerning multiclass classification, scoring functions, and margin loss.

Theoretical Contributions

This research builds upon and extends previous theoretical works, such as those by Mohri et al. (2009) and Ben-David et al. (2010), to provide a comprehensive analysis pertinent to multiclass settings. The paper introduces a novel measurement called Margin Disparity Discrepancy (MDD), designed explicitly for multiclass classification with scoring functions and asymmetric margin loss. This measure provides robust generalization bounds and facilitates easier minimax optimization, a crucial component in domain adaptation tasks.

The authors present theoretical guarantees that include Rademacher complexity-based generalization bounds for domain adaptation models. An important contribution is the clear exposition of the trade-offs between generalization error and margin choice, offering insights into optimizing these parameters for effective domain adaptation.

Algorithmic Advancements

Leveraging their theoretical insights, the authors propose an adversarial learning algorithm inspired by the newly introduced Margin Disparity Discrepancy. This algorithm aims to optimize feature extraction and classifier performance seamlessly, minimizing the empirical error on the source domain while addressing distribution discrepancies with the target domain.

The algorithm employs a unique adversarial network structure and a combined cross-entropy loss instead of the conventional margin loss, tackling the issue of gradient vanishing and improving the practical applicability of the model.

Empirical Results

The authors validate their theoretical and algorithmic proposals through extensive empirical studies. Their algorithm consistently achieves state-of-the-art accuracies on complex domain adaptation tasks such as Office-31, Office-Home, and VisDA-2017 datasets, demonstrating its superior performance over existing methods. The paper facilitates a better understanding of how larger margins generally lead to reduced MDD and higher target accuracies, though empirical considerations may necessitate moderation in margin selection to avoid gradient issues.

Implications and Future Directions

This paper successfully bridges the gap between theoretical domain adaptation models and practical implementations. The introduction of Margin Disparity Discrepancy provides a robust framework for analyzing and improving domain adaptation methods. The research suggests that future advancements may focus on refining margin choices and optimizing adversarial network structures to accommodate various domain shifts flexibly.

Further theoretical explorations could delve deep into more complex discrepancies and their relationships with empirical performance in realistic scenarios. As the field of AI continues to evolve, research such as this sets a strong foundation for developing adaptive, generalizable machine learning systems capable of handling domain shifts efficiently.