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Paper · arXiv

Inverse Design for Conditional Distribution Matching

Generative models are powerful tools for sampling from a learned distribution $\mathcal{P}(Y \mid X)$, and inverse-design methods invert this map to find an input $x$ that produces a desired point output $y^*$. However, many design goals are naturally distributional rather than pointwise, incorporating the inherent uncertainty of $Y$ and targeting a specific form for it, a task not addressed by standard inverse design. To address this issue we introduce Conditional Distribution Matching (CDM), a new inverse-design problem class in generative modeling: given a joint distribution $\mathcal{P}(X, Y)$ and a target distribution $\mathcal{G}(Y)$, find an input $x^*$ whose induced conditional di...

AuthorsOri Meidler, Shaul Tolkovsky, Or Zuk
Primary categorycs.LG
Published10 May 2026
Last updated at source10 May 2026
cs.LGstat.ML
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