U-centering as subset ANOVA: edge regression and higher-order theory
arXiv:2608.01364v4 Announce Type: replace Abstract: Unbiased squared distance covariance and the Hilbert-Schmidt independence criterion (HSIC) are fourth-order …
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arXiv:2608.01364v4 Announce Type: replace Abstract: Unbiased squared distance covariance and the Hilbert-Schmidt independence criterion (HSIC) are fourth-order …
arXiv:2606.06018v2 Announce Type: replace Abstract: We consider a periodic scalar reaction-diffusion system over a two-dimensional domain under natural conditio…
arXiv:2605.31416v3 Announce Type: replace Abstract: Fractional Gaussian noise and $\FARIMA(0,d,0)$ have the same long-memory pole $|\theta|^{-2d}$ and hence the…
arXiv:2512.24669v2 Announce Type: replace Abstract: Contextual bandits are a central framework for sequential decision-making, with applications ranging from re…
arXiv:2510.17561v2 Announce Type: replace Abstract: We provide a rigorous random matrix theory analysis of spiked cross-covariance models where the signals acro…
arXiv:2611.06987v1 Announce Type: cross Abstract: The Behrens--Fisher fiducial interval for the difference of two normal means is known from the numerical work …
arXiv:2611.08074v1 Announce Type: new Abstract: Let $\mathbf X_1,\ldots,\mathbf X_n$ be independent random vectors in $\mathbb R^d$ with common mean $\boldsymbo…
arXiv:2611.08026v1 Announce Type: new Abstract: Spearman's rho treats all ranks alike, yet in many comparisons of two rankings an agreement at the top matters m…
arXiv:2611.07956v1 Announce Type: new Abstract: We record two observations concerning \cite{HLW24}. First, the proof of its Theorem~1 yields the population line…
arXiv:2611.07567v1 Announce Type: new Abstract: We study the cost of certifying a scalar target driven by a product of centered Bernoulli means when an unobserv…
arXiv:2611.07368v1 Announce Type: new Abstract: Testing seeks to distinguish distributions, whereas matching seeks to identify their common mass. I show that th…
arXiv:2611.07219v1 Announce Type: new Abstract: We develop specification tests for parametric conditional tail index models of heavy-tailed distributions. The t…
arXiv:2609.30467v2 Announce Type: replace-cross Abstract: Retrieval-based factuality evaluation, where LLM-generated claims are verified against evidence from a…
arXiv:2606.28925v3 Announce Type: replace-cross Abstract: Language-model agent systems must map natural-language requests to one or more specialized agents befo…
arXiv:2603.03761v2 Announce Type: replace-cross Abstract: LLM agents are rapidly becoming the practical interface for task automation, yet the ecosystem lacks a…
arXiv:2610.37973v2 Announce Type: replace Abstract: LLM-based generative recommendation reads long, text-rich interaction histories but generates only short sem…
arXiv:2606.28780v2 Announce Type: replace Abstract: Multimodal large language models (MLLMs) are widely applied to visual document understanding. However, compr…
arXiv:2606.28351v3 Announce Type: replace Abstract: Recent Hypergraph-based retrieval-augmented generation (HyperRAG) methods use hyper edges to connect multipl…
arXiv:2605.21987v2 Announce Type: replace Abstract: Recent conversational recommender systems have begun to unify recommendation and response generation within …
arXiv:2605.12887v3 Announce Type: replace Abstract: Web-enabled LLM agents are changing how online information influences search outcomes. Existing Generative E…