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In this paper, firstly, some applications of Hilbert matrix in image processing and cryptology are mentioned and an algorithm related to the Hilbert view of a digital image is given. In section 2, the new matrix domains are constructed and…

Functional Analysis · Mathematics 2016-09-07 Murat Kirişci , Harun Polat

The fractional Laplacian operator, $-(-\triangle)^{\frac{\alpha}{2}}$, appears in a wide class of physical systems, including L\'evy flights and stochastic interfaces. In this paper, we provide a discretized version of this operator which…

Statistical Mechanics · Physics 2007-11-12 A. Zoia , A. Rosso , M. Kardar

Fully test-time adaptation aims to adapt a network model online based on sequential analysis of input samples during the inference stage. We observe that, when applying a transformer network model into a new domain, the self-attention…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Yushun Tang , Shuoshuo Chen , Jiyuan Jia , Yi Zhang , Zhihai He

The assisted tunneling of a metastable state between barriers is investigated analytically by means of a simplified one dimensional model. A time dependent perturbation changes the pole spectrum of the wave function introducing a larger…

Quantum Physics · Physics 2023-05-26 German Kälbermann

We explore commutativity up to a factor, $AB=\lambda BA$, for bounded operators in a complex Hilbert space. Conditions on the possible values of the factor $\lambda$ are formulated and shown to depend on spectral properties of the operators…

Functional Analysis · Mathematics 2009-10-31 J. A. Brooke , P. Busch , D. B. Pearson

We evaluate renormalization factors of the domain-wall fermion system with various improved gauge actions at one loop level. The renormalization factors are calculated for quark wave function, quark mass, bilinear quark operators, three-…

High Energy Physics - Lattice · Physics 2009-11-07 Sinya Aoki , Taku Izubuchi , Yoshinobu Kuramashi , Yusuke Taniguchi

We propose using the extra dimension separating the domain walls carrying lattice quarks of opposite handedness to gradually filter out the ultraviolet fluctuations of the gauge fields that are felt by the fermionic excitations living in…

High Energy Physics - Lattice · Physics 2007-05-23 Oliver Baer , Rajamani Narayanan , Herbert Neuberger , Oliver Witzel

We present a new regularization method, for d dim (Euclidean) quantum field theories in the continuum formalism, based on the domain wall configuration in (1+d) dim space-time. It is inspired by the recent progress in the chiral fermions on…

High Energy Physics - Lattice · Physics 2011-04-15 Shoichi Ichinose

For domain generalization (DG) and unsupervised domain adaptation (UDA), cross domain feature alignment has been widely explored to pull the feature distributions of different domains in order to learn domain-invariant representations.…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Xin Jin , Cuiling Lan , Wenjun Zeng , Zhibo Chen

Successful unsupervised domain adaptation is guaranteed only under strong assumptions such as covariate shift and overlap between input domains. The latter is often violated in high-dimensional applications like image classification which,…

Machine Learning · Computer Science 2024-06-13 Adam Breitholtz , Anton Matsson , Fredrik D. Johansson

Some key features of the overlap operator with a UV-filtered Wilson kernel are discussed. The first part concerns spectral properties of the underlying shifted hermitean Wilson operator and the relation to the observed speedup of the…

High Energy Physics - Lattice · Physics 2009-11-11 Stephan Durr , Christian Hoelbling , Urs Wenger

Domain Adaptation (DA) aims to leverage the knowledge learned from a source domain with ample labeled data to a target domain with unlabeled data only. Most existing studies on DA contribute to learning domain-invariant feature…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Xiyu Wang , Pengxin Guo , Yu Zhang

Domain shift refers to the well known problem that a model trained in one source domain performs poorly when applied to a target domain with different statistics. {Domain Generalization} (DG) techniques attempt to alleviate this issue by…

Machine Learning · Computer Science 2017-10-11 Da Li , Yongxin Yang , Yi-Zhe Song , Timothy M. Hospedales

Classical Domain Adaptation methods acquire transferability by regularizing the overall distributional discrepancies between features in the source domain (labeled) and features in the target domain (unlabeled). They often do not…

Machine Learning · Computer Science 2023-06-01 Shumin Ma , Zhiri Yuan , Qi Wu , Yiyan Huang , Xixu Hu , Cheuk Hang Leung , Dongdong Wang , Zhixiang Huang

We predict a spatially localized magnetic domain wall oscillator upon the application of an external magnetic field and a DC electric current. The amplitude and frequency of the oscillator can be controlled by the field and/or the current.…

Materials Science · Physics 2007-05-23 J. He , S. Zhang

In this work, we explore the usage of the Frequency Transformation for reducing the domain shift between the source and target domain (e.g., synthetic image and real image respectively) towards solving the Domain Adaptation task. Most of…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Vikash Kumar , Himanshu Patil , Rohit Lal , Anirban Chakraborty

We generalize domain-wall dynamics to the case of translationally noninvariant ferromagnetic nanowires. The obtained equations of motion make the description of the domain-wall propagation more realistic by accounting for the variations…

Mesoscale and Nanoscale Physics · Physics 2012-06-13 O. A. Tretiakov , Y. Liu , Ar. Abanov

Fine-tuning pre-trained neural network models has become a widely adopted approach across various domains. However, it can lead to the distortion of pre-trained feature extractors that already possess strong generalization capabilities.…

Machine Learning · Computer Science 2024-03-27 Seokhyeon Ha , Sunbeom Jung , Jungwoo Lee

Domain walls in nano-constrictions are investigated with a focus on thermal properties. In general, the magnetization component perpendicular to the easy axis which in a domain wall usually occurs has a value different from the easy-axis…

Materials Science · Physics 2009-11-11 N. Kazantseva , R. Wieser , U. Nowak

In this paper we consider a Robin-type Laplace operator on bounded domains. We study the dependence of its lowest eigenvalue on the boundary conditions and its asymptotic behavior in shrinking and expanding domains. For convex domains we…

Mathematical Physics · Physics 2012-12-18 Hynek Kovarik
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