“The model struggled to write unit tests for a simple function called interval2short() that just formats a time interval as a short, approximate string... It really struggled to identify that the output is "2h 0m" instead of "2h." ... It then went on a multi-thousand-token thinking bender before deciding that it was very important to document that interval2short() always returns two components.”

“The paper derives fundamental estimation limits for a wide-band near-field sensing systems employing orthogonal frequency-division multiplexing signaling over a coherent processing interval.”

“CorGi and CorGi+ achieve up to 2.0x speedup on average, while preserving high generation quality.”

“Paired seed evaluation design...induces matched realisations of stochastic components and strict variance reduction whenever outcomes are positively correlated at the seed level.”

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“The paper explains how the hierarchical hull of a pair of points in any colorable hierarchically hyperbolic space is quasi-isometric to a finite CAT(0) cube complex of bounded dimension.”

“The paper claims an enhanced convergence rate of order $\mathcal{O}(h)$ in the $L^2$-Wasserstein distance, significantly improving the existing order-half convergence.”

“The article's abstract and introduction would provide specific details on the methods, findings, and implications of the research.”

“The model was able to successfully identify the uncertain regions in the simulated data and match the magnitude of the uncertainty. In real-case scenarios, the optimised model was not overconfident nor underconfident when estimating from test data: for example, for a 95% prediction interval, 95% of the true observations were inside the prediction interval.”

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“The paper generalizes a result on estimating the Hausdorff dimension of measures from a specific example to a broader family of interval exchange transformations.”

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“The paper introduces "Trustworthy Variational Bayes (TVB), a method to recalibrate the UQ of broad classes of VB procedures... Our approach follows a bend-to-mend strategy: we intentionally misspecify the likelihood to correct VB's flawed UQ.”

“The Hinge Theorem establishes that controlling the Likelihood-Ratio Distortion metric is necessary and sufficient for preserving inference.”

“The proposed methods yield improved coverage properties and computational efficiency relative to existing approaches.”

“The article's focus on D$^0$ mesons and their properties (spectra and anisotropic flow) indicates a deep dive into understanding the QGP's properties and the behavior of heavy quarks within it.”

“The Modified TSception achieves a comparable accuracy of 83.46% (vs. 83.15% for the original) on the SEED-VIG dataset, but with a substantially reduced confidence interval (0.24 vs. 0.36), signifying a marked improvement in performance stability.”

“The article likely delves into the mathematical and computational aspects of QKD security, potentially including discussions on information-theoretic security and practical implementation challenges.”

“When stability holds, the ordinary least-squares estimator satisfies a central limit theorem, and classical Wald-type confidence intervals -- designed for i.i.d. data -- become asymptotically valid even under adaptation, \emph{without} incurring the $\\sqrt{d \\log T}$ price of adaptivity.”

“SafeBench-Seq is a homology-clustered, CPU-Only baseline.”

“Existence of a Non-Uniquely Ergodic Interval Exchange Transformation with Flips Possessing Three Invariant Measures”

“The article is based on a paper from ArXiv.”

“The research is sourced from ArXiv, indicating it's a pre-print or publication related to academic research.”

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“The context provides a general overview suggesting the article investigates deep learning for evidential classification.”

“The article likely focuses on the techniques for estimating uncertainty in neural networks.”

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