Tag: stability
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Efficient Inference after Directionally Stable Adaptive Experiments
Efficient Inference after Directionally Stable Adaptive Experiments arXiv:2602.21478v1 Announce Type: new Abstract: We study inference on scalar-valued pathwise differentiable targets after adaptive data collection, such as a bandit algorithm. We introduce a novel target-specific condition, directional stability, which is strictly weaker than previously imposed target-agnostic stability conditions. Under directional stability, we show that estimators that…
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Convergence and Stability Analysis of Self-Consuming Generative Models with Heterogeneous Human Curation
Convergence and Stability Analysis of Self-Consuming Generative Models with Heterogeneous Human Curation arXiv:2511.09002v1 Announce Type: new Abstract: Self-consuming generative models have received significant attention over the last few years. In this paper, we study a self-consuming generative model with heterogeneous preferences that is a generalization of the model in Ferbach et al. (2024). The model…
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Assessing One-Dimensional Cluster Stability by Extreme-Point Trimming
Assessing One-Dimensional Cluster Stability by Extreme-Point Trimming arXiv:2509.00258v1 Announce Type: new Abstract: We develop a probabilistic method for assessing the tail behavior and geometric stability of one-dimensional n i.i.d. samples by tracking how their span contracts when the most extreme points are trimmed. Central to our approach is the diameter-shrinkage ratio, that quantifies the relative…
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The Relative Instability of Model Comparison with Cross-validation
The Relative Instability of Model Comparison with Cross-validation arXiv:2508.04409v1 Announce Type: new Abstract: Existing work has shown that cross-validation (CV) can be used to provide an asymptotic confidence interval for the test error of a stable machine learning algorithm, and existing stability results for many popular algorithms can be applied to derive positive instances where…