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Equilibrium adsorption of disk-like particles on patterned adhesive surfaces is studied using Monte Carlo simulations. The surface is represented as a two-dimensional plane with circular adhesive domains arranged either regularly or…

软凝聚态物质 · 物理学 2026-05-05 Nazar Kukarkin , Taras Patsahan

It is hereby established that, in Euclidean spaces of finite dimension, bounded self-contracted curves have finite length. This extends the main result of Daniilidis, Ley, and Sabourau (J. Math. Pures Appl. 2010) concerning continuous…

经典分析与常微分方程 · 数学 2012-11-15 Aris Daniilidis , Guy David , Estibalitz Durand-Cartagena , Antoine Lemenant

This paper has been withdrawn by the auther due to an error

交换代数 · 数学 2008-01-31 Vahap Erdogdu

This is a reply to the Comment on 'Spin Decoherence in Superconducting Atom Chips' [arXiv:quant-ph/0610095 (2006)].

量子物理 · 物理学 2007-05-23 Bo-Sture K. Skagerstam , Ulrich Hohenester , Asier Eiguren , Per Kristian Rekdal

In this paper we settle all questions whether (it is consistent that) the properties P and Q [do not] coincide, where P and Q run over selection principles of the type U_fin(O,A).

一般拓扑 · 数学 2007-05-23 Lyubomyr Zdomskyy

Existing research often posits spurious features as easier to learn than core features in neural network optimization, but the impact of their relative simplicity remains under-explored. Moreover, studies mainly focus on end performance…

机器学习 · 计算机科学 2024-08-27 GuanWen Qiu , Da Kuang , Surbhi Goel

Automated face recognition has made rapid strides over the past decade due to the unprecedented rise of deep neural network (DNN) models that can be trained for domain-specific tasks. At the same time, foundation models that are pretrained…

计算机视觉与模式识别 · 计算机科学 2026-04-09 Fizza Rubab , Yiying Tong , Arun Ross

This survey provides a comprehensive overview of recent advances in multimodal alignment and fusion within the field of machine learning, driven by the increasing availability and diversity of data modalities such as text, images, audio,…

计算机视觉与模式识别 · 计算机科学 2025-10-14 Songtao Li , Hao Tang

Multi-source domain adaptation aims to reduce performance degradation when applying machine learning models to unseen domains. A fundamental challenge is devising the optimal strategy for feature selection. Existing literature is somewhat…

机器学习 · 统计学 2024-03-12 Ziliang Samuel Zhong , Xiang Pan , Qi Lei

Farin proposed a method for designing Bezier curves with monotonic curvature and torsion. Such curves are relevant in design due to their aesthetic shape. The method relies on applying a matrix M to the first edge of the control polygon of…

数值分析 · 数学 2020-07-21 A. Cantón , L. Fernández-Jambrina , M. J. Vázquez-Gallo

The multiple passages of light through an absorption inhomogeneity of finite size deep within a turbid medium is analyzed for optical imaging using the ``self-energy'' diagram. The nonlinear correction becomes more important for an…

软凝聚态物质 · 物理学 2009-11-10 M. Xu , W. Cai , R. R. Alfano

The performance of face analysis and recognition systems depends on the quality of the acquired face data, which is influenced by numerous factors. Automatically assessing the quality of face data in terms of biometric utility can thus be…

计算机视觉与模式识别 · 计算机科学 2022-01-14 Torsten Schlett , Christian Rathgeb , Olaf Henniger , Javier Galbally , Julian Fierrez , Christoph Busch

Shallow permutations were defined in 1977 to be those that satisfy the lower bound of the Diaconis-Graham inequality. Recently, there has been renewed interest in these permutations. In particular, Berman and Tenner showed they satisfy…

组合数学 · 数学 2025-01-30 Kassie Archer , Aaron Geary , Robert P. Laudone

The wave mechanics theory of microwave absorption challenges the long-standing impedance-matching and quarter-wavelength paradigms by demonstrating that conventional models mistakenly conflate bulk material parameters with thin-film…

物理与社会 · 物理学 2025-08-27 Yue Liu , Ying Liu , Michael G. B. Drew

This paper surveys some selected topics in the theory of conformal metrics and their connections to complex analysis, partial differential equations and conformal differential geometry.

复变函数 · 数学 2008-05-16 Daniela Kraus , Oliver Roth

Magnetic resonance imaging (MRI) has greatly advanced neuroscience research and clinical diagnostics. However, imaging data collected across different scanners, acquisition protocols, or imaging sites often exhibit substantial…

图像与视频处理 · 电气工程与系统科学 2026-04-02 Qinqin Yang , Firoozeh Shomal-Zadeh , Ali Gholipour

Attention is a key part of the transformer architecture. It is a sequence-to-sequence mapping that transforms each sequence element into a weighted sum of values. The weights are typically obtained as the softmax of dot products between…

Let S be a smooth affine algebraic curve, and let S' be the Riemann surface obtained by removing a point from S. We provide evidence for the congruence subgroup property of the mapping class group Mod(S') by showing that its congruence…

代数几何 · 数学 2014-02-26 Richard Peabody Kent

We develop a new method to locally cluster curves and discover functional motifs, i.e.~typical ``shapes'' that may recur several times along and across the curves capturing important local characteristics. In order to identify these shared…

统计方法学 · 统计学 2023-01-30 Marzia A. Cremona , Francesca Chiaromonte

Fractional learning algorithms are trending in signal processing and adaptive filtering recently. However, it is unclear whether the proclaimed superiority over conventional algorithms is well-grounded or is a myth as their performance has…

机器学习 · 计算机科学 2022-11-23 Abdul Wahab , Shujaat Khan , Imran Naseem , Jong Chul Ye