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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…

Soft Condensed Matter · Physics 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…

Classical Analysis and ODEs · Mathematics 2012-11-15 Aris Daniilidis , Guy David , Estibalitz Durand-Cartagena , Antoine Lemenant

This paper has been withdrawn by the auther due to an error

Commutative Algebra · Mathematics 2008-01-31 Vahap Erdogdu

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

Quantum Physics · Physics 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).

General Topology · Mathematics 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…

Machine Learning · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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,…

Computer Vision and Pattern Recognition · Computer Science 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…

Machine Learning · Statistics 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…

Numerical Analysis · Mathematics 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…

Soft Condensed Matter · Physics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Combinatorics · Mathematics 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…

Physics and Society · Physics 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.

Complex Variables · Mathematics 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…

Image and Video Processing · Electrical Eng. & Systems 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…

Algebraic Geometry · Mathematics 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…

Methodology · Statistics 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…

Machine Learning · Computer Science 2022-11-23 Abdul Wahab , Shujaat Khan , Imran Naseem , Jong Chul Ye