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Finite rank point perturbations of the $p$-adic fractional differentiation operator $D^{\alpha}$ are studied. The main attention is paid to the description of operator realizations (in $L_2(\mathbb{Q}_p)$) of the heuristic expression…

Mathematical Physics · Physics 2012-08-31 S. Kuzhel , S. Torba

This paper investigates the qualitative behavior of a system of ordinary differential equations (ODEs) defined by a matrix operator derived from the algebraic structure of the Alpha Group. The system depends on a rotational parameter that…

Differential Geometry · Mathematics 2026-05-11 Cleber Souza Corrêa , Thiago Braido Nogueira de Melo

We derive the vector-like four dimensional overlap Dirac operator starting from a five dimensional Dirac action in the presence of a delta-function space-time defect. The effective operator is obtained by first integrating out all the…

High Energy Physics - Lattice · Physics 2008-11-26 C. D. Fosco , G. Torroba , H. Neuberger

In Orthogonal Time Frequency Space (OTFS) modulation, information symbols are embedded in the delay-Doppler (DD) domain instead of the time-frequency (TF) domain. n order to ensure compatibility with existing OFDM systems (e.g. 4G LTE),…

Information Theory · Computer Science 2024-10-30 Saif Khan Mohammed

We propose a method for unsupervised domain adaptation that trains a shared embedding to align the joint distributions of inputs (domain) and outputs (classes), making any classifier agnostic to the domain. Joint alignment ensures that not…

Machine Learning · Computer Science 2019-05-28 Safa Cicek , Stefano Soatto

Light scalar fields, with double well potentials and direct matter couplings, undergo density driven phase transitions, leading to the formation of domain walls. Such theories could explain dark energy, dark matter or source the nanoHz…

General Relativity and Quantum Cosmology · Physics 2023-08-03 Kate Clements , Benjamin Elder , Lucia Hackermueller , Mark Fromhold , Clare Burrage

Ferroelectric hafnia exhibits promising robust polarization and silicon compatibility for ferroelectric devices. Unfortunately, it suffers from difficult polarization switching. Methods to enable easier polarization switching are needed,…

Materials Science · Physics 2024-04-24 Songsong Zhou , Andrew M. Rappe

In this note, we discuss the preservation of certain analytic properties of the $\overline{\partial}$-Neumann operator, Bergman projection and Hankel operators on the intersection of pseudoconvex domains.

Complex Variables · Mathematics 2016-02-01 Mehmet Celik , Yunus E. Zeytuncu

This paper deals with the possibility of transforming a weakly measurable function in a Hilbert space into a continuous frame by a metric operator, i.e., a strictly positive self-adjoint operator. A necessary condition is that the domain of…

Functional Analysis · Mathematics 2020-02-27 J-P. Antoine , R. Corso , C. Trapani

In this contribution the costs of simulations employing domain wall and overlap fermions are estimated. In the discussion we will stay within the quenched approximation.

High Energy Physics - Lattice · Physics 2009-11-07 Karl Jansen

Domain adaptation techniques aim at adapting a classifier learnt on a source domain to work on the target domain. Exploiting the subspaces spanned by features of the source and target domains respectively is one approach that has been…

Computer Vision and Pattern Recognition · Computer Science 2015-01-19 Anant Raj , Vinay P. Namboodiri , Tinne Tuytelaars

Deployed real-world machine learning applications are often subject to uncontrolled and even potentially malicious inputs. Those out-of-domain inputs can lead to unpredictable outputs and sometimes catastrophic safety issues. Prior studies…

Computation and Language · Computer Science 2022-05-23 Keyang Xu , Tongzheng Ren , Shikun Zhang , Yihao Feng , Caiming Xiong

Assume that $\Omega_{1}$ and $\Omega_{2}$ are two smooth bounded pseudoconvex domains in $\mathbb{C}^{2}$ that intersect (real) transversely, and that $\Omega_{1} \cap \Omega_{2}$ is a domain (i.e. is connected). If the…

Complex Variables · Mathematics 2014-08-27 Mustafa Ayyürü , Emil J. Straube

Getting deep convolutional neural networks to perform well requires a large amount of training data. When the available labelled data is small, it is often beneficial to use transfer learning to leverage a related larger dataset (source) in…

Machine Learning · Computer Science 2021-10-26 Lukas Hedegaard Morsing , Omar Ali Sheikh-Omar , Alexandros Iosifidis

We consider the transformation of Hamilton operators under various sets of quantum operations acting simultaneously on all adjacent pairs of particles. We find mappings between Hamilton operators analogous to duality transformations as well…

Quantum Physics · Physics 2015-06-26 Martin B Plenio

Linear operations on coefficients in the spherical harmonics (SH) transform domain that again yield SH-domain coefficients are an important toolset in many disciplines of research and engineering. They comprise rotations, spatially…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-30 Maximilian Kentgens , Peter Jax

MLP-like models built entirely upon multi-layer perceptrons have recently been revisited, exhibiting the comparable performance with transformers. It is one of most promising architectures due to the excellent trade-off between network…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Kecheng Zheng , Yang Cao , Kai Zhu , Ruijing Zhao , Zheng-Jun Zha

We study the kinetic roughening of a driven domain wall between spin-up and spin-down domains for a model with non-conserved order parameter and quenched disorder. To understand the scaling behavior of this interface we construct an…

Disordered Systems and Neural Networks · Physics 2008-02-03 M. Jost , K. D. Usadel

Ferroelectrics usually adopt a multi-domain state with domain walls separating domains with polarization axes oriented differently. It has long been recognized that domain walls can dramatically impact the properties of ferroelectric…

Materials Science · Physics 2017-03-15 Shi Liu , R. E. Cohen

Domain Adaptation is the process of alleviating distribution gaps between data from different domains. In this paper, we show that Domain Adaptation methods using pair-wise relationships between source and target domain data can be…

Machine Learning · Computer Science 2021-10-26 Lukas Hedegaard , Omar Ali Sheikh-Omar , Alexandros Iosifidis