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Let $C$ be an affine curve over an algebraically closed field $k$ of characteristic $p>0$. Given an embedding problem $(\beta:\Gamma\longrightarrow G, \alpha: \pi^{et}_1(C)\longrightarrow G)$ for $\pi_1^{et}(C)$ where $\beta$ is a…

Algebraic Geometry · Mathematics 2024-03-07 Manish Kumar , Poulami Mandal

Given our set-up of a system of curves and maps between them satisfying certain assumptions, we prove a classicality criterion for overconvergent sections of line bundles over these curves. As a result, we prove such criteria for…

Number Theory · Mathematics 2008-02-11 Payman L. Kassaei

This is an English translation of the following paper, published several years ago: Nikonorov Yu.G. On a characterization of critical points of the scalar curvature functional (Russian), Tr. Rubtsovsk. Ind. Inst., 7, 211-217 (2000), Zbl.…

Differential Geometry · Mathematics 2021-12-03 Yu. G. Nikonorov

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2015-09-08 Subhashis Ghosal

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2015-09-08 Mark G. Low , Zongming Ma

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2015-09-08 Judith Rousseau

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2015-09-08 Ismaël Castillo

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2015-09-08 Richard Nickl

Functional data analysis almost always involves smoothing discrete observations into curves, because they are never observed in continuous time and rarely without error. Although smoothing parameters affect the subsequent inference,…

Methodology · Statistics 2025-04-07 Sunny G. W. Wang , Valentin Patilea , Nicolas Klutchnikoff

Software Product Lines (SPLs) are families of related software systems which are distinguished by the set of features each system provides. Feature Models are the de facto standard for modelling the variability of SPLs because they describe…

Software Engineering · Computer Science 2022-03-11 Elmira Rezaei Sepasi , Kambiz Nezami Balouchi , Julien Mercier , Roberto Erick Lopez-Herrejon

We comment on a recent letter by Amini et al. (EPL 87, 37002 (2009)) concerning the existence of a mobility edge in disordered graphene.

Strongly Correlated Electrons · Physics 2015-05-18 J. Schleede , G. Schubert , H. Fehske

We study numerically the optical properties of low-buckled silicene and AB-stacked bilayer graphene quantum dots subjected to an external electric field, which is normal to their surface. Within the tight-binding model, the optical…

Mesoscale and Nanoscale Physics · Physics 2017-08-29 H. Abdelsalam , M. H. Talaat , I. Lukyanchuk , M. E. Portnoi , V. A. Saroka

Post-hoc explanations for black box models have been studied extensively in classification and regression settings. However, explanations for models that output similarity between two inputs have received comparatively lesser attention. In…

Machine Learning · Computer Science 2022-02-03 Karthikeyan Natesan Ramamurthy , Amit Dhurandhar , Dennis Wei , Zaid Bin Tariq

Errors in the published version of the paper are corrected, and new figures are provided.

High Energy Physics - Phenomenology · Physics 2008-11-26 E. L. Berger , M. Klasen , T. M. P. Tait

The optical absorbance of 2D semiconductors is generalized to individual lattice sites through the topological marker formalism, yielding an absorbance marker. This marker allows to investigate the atomic scale variation of absorbance…

Strongly Correlated Electrons · Physics 2025-08-05 Luis F. Cárdenas-Castillo , Shuai Zhang , Fernando L. Freire , Wei Chen

Let $S$ be a Riemann surface with a non-abelian fundamental group and for each integer $k \geq 2$ or $k=\infty$, let $\widetilde{S}_{k}$ be its $k$-homology cover. The surface $\widetilde{S}_{k}$ admits a group of conformal automorphisms…

Geometric Topology · Mathematics 2024-12-04 Rubén A. Hidalgo

We study the coverage properties of full conformal regression in the proportional asymptotic regime where the ratio of the dimension and the sample size converges to a constant. In this setting, existing theory tells us only that full…

Statistics Theory · Mathematics 2025-03-03 Isaac Gibbs , Emmanuel J. Candès

Sample-wise learning curves plot performance versus training set size. They are useful for studying scaling laws and speeding up hyperparameter tuning and model selection. Learning curves are often assumed to be well-behaved: monotone (i.e.…

Machine Learning · Computer Science 2025-10-27 Cheng Yan , Felix Mohr , Tom Viering

Continual learning has been developed using standard supervised contrastive loss from the perspective of feature learning. Due to the data imbalance during the training, there are still challenges in learning better representations. In this…

Machine Learning · Computer Science 2023-06-06 Bilan Gao , YoungBin Kim

A recent paper [1] (El Aroudi, 2012) misapplied a critical condition (Fang and Abed, 2001) to a well-known example. Even if the mistake is corrected, the results in [1] are applicable only to buck converters and period-doubling bifurcation.…

Systems and Control · Computer Science 2015-03-20 Chung-Chieh Fang