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Functional Complexity-adaptive Temporal Tensor Decomposition

arXiv:2502.06164v3 Announce Type: replace-cross Abstract: Tensor decomposition is a fundamental tool for analyzing multi-dimensional data by learning low-rank factors to represent high-order interactions. While recent works on temporal tensor decomposition have made significant progress by incorporating continuous timestamps in latent…

Sobolev norm inconsistency of kernel interpolation

arXiv:2504.20617v2 Announce Type: replace Abstract: We study the consistency of minimum-norm interpolation in reproducing kernel Hilbert spaces corresponding to bounded kernels. Our main result give lower bounds for the generalization error of the kernel interpolation measured in a continuous scale…

Unsupervised Conformal Inference: Bootstrapping and Alignment to Control LLM Uncertainty

arXiv:2509.23002v1 Announce Type: new Abstract: Deploying black-box LLMs requires managing uncertainty in the absence of token-level probability or true labels. We propose introducing an unsupervised conformal inference framework for generation, which integrates: generative models, incorporating: (i) an LLM-compatible atypical score…

Localized Uncertainty Quantification in Random Forests via Proximities

arXiv:2509.22928v1 Announce Type: new Abstract: In machine learning, uncertainty quantification helps assess the reliability of model predictions, which is important in high-stakes scenarios. Traditional approaches often emphasize predictive accuracy, but there is a growing focus on incorporating uncertainty measures. This…

Differentially Private Two-Stage Gradient Descent for Instrumental Variable Regression

arXiv:2509.22794v1 Announce Type: new Abstract: We study instrumental variable regression (IVaR) under differential privacy constraints. Classical IVaR methods (like two-stage least squares regression) rely on solving moment equations that directly use sensitive covariates and instruments, creating significant risks of privacy…