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An iteration-free method of domain decomposition is considered for approximate solving a boundary value problem for a second-order parabolic equation. A standard approach to constructing domain decomposition schemes is based on a partition…

Numerical Analysis · Computer Science 2017-05-10 Petr N. Vabishchevich

Unsupervised Domain Adaptation (UDA) aims at reducing the domain gap between training and testing data and is, in most cases, carried out in offline manner. However, domain changes may occur continuously and unpredictably during deployment…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Theodoros Panagiotakopoulos , Pier Luigi Dovesi , Linus Härenstam-Nielsen , Matteo Poggi

We calculate one-loop renormalization factors of bilinear operators made of physical quark fields for domain-wall QCD. We find that finite parts of such renormalization factors have reasonable values at 1-loop except an overlap factor…

High Energy Physics - Lattice · Physics 2009-10-31 Sinya Aoki , Taku Izubuchi , Yoshinobu Kuramashi , Yusuke Taniguchi

There is an increasing interest in the application of deep learning architectures to tabular data. One of the state-of-the-art solutions is TabTransformer which incorporates an attention mechanism to better track relationships between…

Machine Learning · Computer Science 2022-01-04 Radostin Cholakov , Todor Kolev

Contemporary data is often supported by an irregular structure, which can be conveniently captured by a graph. Accounting for this graph support is crucial to analyze the data, leading to an area known as graph signal processing (GSP). The…

Information Theory · Computer Science 2017-05-26 Geert Leus , Santiago Segarra , Alejandro Ribeiro , Antonio G. Marques

Convolutional Neural Networks (CNNs) have become the state-of-the-art in supervised learning vision tasks. Their convolutional filters are of paramount importance for they allow to learn patterns while disregarding their locations in input…

Machine Learning · Computer Science 2017-10-26 Jean-Charles Vialatte , Vincent Gripon , Grégoire Mercier

In this work we extend to the interval-valued setting the notion of an overlap functions and we discuss a method which makes use of interval-valued overlap functions for constructing OWA operators with interval-valued weights. . Some…

Artificial Intelligence · Computer Science 2019-05-10 Benjamin Bedregal , Humberto Bustince , Eduardo Palmeira , Graçaliz Pereira Dimuro , Javier Fernandez

Continuous Domain Adaptation (CDA) effectively bridges significant domain shifts by progressively adapting from the source domain through intermediate domains to the target domain. However, selecting intermediate domains without explicit…

Machine Learning · Computer Science 2025-10-14 Hanbing Liu , Huaze Tang , Yanru Wu , Yang Li , Xiao-Ping Zhang

In this article, we determine conditions on the parameters of a generalized convolution operator such that it belongs to the Hardy space and to the space of bounded analytic functions. Results obtained are new and their usefulness is…

Complex Variables · Mathematics 2019-10-11 Rajbala , Jugal K. Prajapat

I derive the overlap Dirac operator starting from the overlap formalism, discuss the numerical hurdles in dealing with this operator and present ways to overcome them.

High Energy Physics - Lattice · Physics 2011-07-19 Rajamani Narayanan

In this work, we analyze the conditions under which information about the context of an input $X$ can improve the predictions of deep learning models in new domains. Following work in marginal transfer learning in Domain Generalization…

Machine Learning · Computer Science 2025-10-23 Jens Müller , Lars Kühmichel , Martin Rohbeck , Stefan T. Radev , Ullrich Köthe

The Dirac operator provides a unified framework for processing signals defined over different order topological domains, such as node and edge signals. Its eigenmodes define a spectral representation that inherently captures cross-domain…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Leonardo Di Nino , Tiziana Cattai , Sergio Barbarossa , Ginestra Bianconi , Paolo Di Lorenzo

We construct phase space localizing operators in all dimensions. These are frequency localized variants of the conditional expectation operator related to a dyadic stopping time. Our construction is an improvement over the so-called phase…

Classical Analysis and ODEs · Mathematics 2024-02-20 Marco Fraccaroli , Olli Saari , Christoph Thiele

This paper addresses the extension of the Stockwell transform to Gelfand pairs. Some majors properties of this transform are examined. The localization operators related to the Stockwell transform in this framework are studied.

Functional Analysis · Mathematics 2026-03-10 Claude G. Dosseh , Mawoussi Todjro , Yaogan Mensah

We consider several transitions between narrow lines that have an enhanced sensitivity to a possible variation of the fine structure constant, alpha. This enhancement may allow a search to be performed with an effective suppression of the…

Atomic Physics · Physics 2009-11-11 S. G. Karshenboim , A. Yu. Nevsky , E. J. Angstmann , V. A. Dzuba , V. V. Flambaum

In this note, we frst consider boundedness properties of a family of operators generalizing the Hilbert operator in the upper triangle case. In the diagonal case, we give the exact norm of these operators under some restrictions on the…

Classical Analysis and ODEs · Mathematics 2016-01-11 Justice S. Bansah , Benoit F. Sehba

Local Fourier analysis is a commonly used tool for the analysis of multigrid and other multilevel algorithms, providing both insight into observed convergence rates and predictive analysis of the performance of many algorithms. In this…

Numerical Analysis · Mathematics 2021-08-06 Jed Brown , Yunhui He , Scott MacLachlan

The statics and dynamics of a surface separating two phases of a relativistic quantum field theory at or near the critical temperature typically make use of a free energy as a functional of an order parameter. This free energy functional…

High Energy Physics - Theory · Physics 2009-11-07 L. P. Csernai , J. I. Kapusta , E. Osnes

As a vital problem in pattern analysis and machine intelligence, Unsupervised Domain Adaptation (UDA) attempts to transfer an effective feature learner from a labeled source domain to an unlabeled target domain. Inspired by the success of…

Computer Vision and Pattern Recognition · Computer Science 2024-08-14 Ren Chuan-Xian , Zhai Yi-Ming , Luo You-Wei , Yan Hong

We evaluate the advantages of performing cross-phase modulation (XPM) on a very-far-off-resonance atomic system. We consider a ladder system with a weak (few-photon level) control coherent field imparting a conditional nonlinear phase shift…

Quantum Physics · Physics 2016-10-26 Julián Martínez-Rincón , John C. Howell