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Tag: ratio

  • Quasiprobabilistic Density Ratio Estimation with a Reverse Engineered Classification Loss Function

    Quasiprobabilistic Density Ratio Estimation with a Reverse Engineered Classification Loss Function arXiv:2512.19913v1 Announce Type: new Abstract: We consider a generalization of the classifier-based density-ratio estimation task to a quasiprobabilistic setting where probability densities can be negative. The problem with most loss functions used for this task is that they implicitly define a relationship between the…

  • Robust and Sparse Estimation of Unbounded Density Ratio under Heavy Contamination

    Robust and Sparse Estimation of Unbounded Density Ratio under Heavy Contamination arXiv:2512.09266v1 Announce Type: new Abstract: We examine the non-asymptotic properties of robust density ratio estimation (DRE) in contaminated settings. Weighted DRE is the most promising among existing methods, exhibiting doubly strong robustness from an asymptotic perspective. This study demonstrates that Weighted DRE achieves sparse…

  • Differentially private ratio statistics

    Differentially private ratio statistics arXiv:2505.20351v1 Announce Type: new Abstract: Ratio statistics–such as relative risk and odds ratios–play a central role in hypothesis testing, model evaluation, and decision-making across many areas of machine learning, including causal inference and fairness analysis. However, despite privacy concerns surrounding many datasets and despite increasing adoption of differential privacy, differentially private…

  • Estimating Unbounded Density Ratios: Applications in Error Control under Covariate Shift

    Estimating Unbounded Density Ratios: Applications in Error Control under Covariate Shift arXiv:2504.01031v1 Announce Type: new Abstract: The density ratio is an important metric for evaluating the relative likelihood of two probability distributions, with extensive applications in statistics and machine learning. However, existing estimation theories for density ratios often depend on stringent regularity conditions, mainly focusing…