Adversarial Support Alignment
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Abstract (arXiv)
We study the problem of aligning the supports of distributions. Compared to the existing work on distribution alignment, support alignment does not require the densities to be matched. We propose symmetric support difference as a divergence measure to quantify the mismatch between supports. We show that select discriminators (e.g. discriminator trained for Jensen-Shannon divergence) are able to map support differences as support differences in their one-dimensional output space. Following this result, our method aligns supports by minimizing a symmetrized relaxed optimal transport cost in the discriminator 1D space via an adversarial process. Furthermore, we show that our approach can be viewed as a limit of existing notions of alignment by increasing transportation assignment tolerance. We quantitatively evaluate the method across domain adaptation tasks with shifts in label distributions. Our experiments show that the proposed method is more robust against these shifts than other alignment-based baselines.
Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 37 of its 67 references that are in the map. First posted on arXiv 16 Mar 2022.
Builds on
37 of 67 references.
References · 37
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25 more
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Built on by
Citing papers per year: 2022: 1; 2023: 3; 2024: 0; 2025: 0; 2026: 1.
5 papers.
- 2022Disentanglement of Correlated Factors via Hausdorff Factorized Supportcited by 37
- 2023Partial Identifiability for Domain Adaptationcited by 14
- 2023Are demographically invariant models and representations in medical imaging fair?cited by 6
- 2023CASUAL: Conditional Support Alignment for Domain Adaptation with Label Shiftcited by 3
- 2026Is invariance all you need for algorithmic fairness? Removing demographic information can create new biascited by 0
- 2026Is invariance all you need for algorithmic fairness? Removing demographic information can create new bias25 Sep 2026
- 2023Partial Identifiability for Domain Adaptation10 Jun 2023
- 2023CASUAL: Conditional Support Alignment for Domain Adaptation with Label Shift29 May 2023
- 2023Are demographically invariant models and representations in medical imaging fair?2 May 2023
- 2022Disentanglement of Correlated Factors via Hausdorff Factorized Support13 Oct 2022