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Transformer-based methods have achieved remarkable success in various machine learning tasks. How to design efficient test-time adaptation methods for transformer models becomes an important research task. In this work, motivated by the…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Yushun Tang , Shuoshuo Chen , Zhihe Lu , Xinchao Wang , Zhihai He

According to the recent experiment by the Fert group, the velocity of domain wall motion in the spin valve ferromagnetic nanowires was almost doubly enhanced compared to the old value. In this work, we propose an additional torque model,…

Materials Science · Physics 2008-11-21 Tae-Suk Kim

In this paper, we present a novel convolution theorem which encompasses the well known convolution theorem in (graph) signal processing as well as the one related to time-varying filters. Specifically, we show how a node-wise convolution…

Signal Processing · Electrical Eng. & Systems 2023-12-29 Alberto Natali , Geert Leus

In this note we study the structure of shift-preserving operators acting on a finitely generated shift-invariant space. We define a new notion of diagonalization for these operators, which we call s-diagonalization. We give necessary and…

Classical Analysis and ODEs · Mathematics 2021-07-06 Alejandra Aguilera , Carlos Cabrelli , Diana Carbajal , Victoria Paternostro

Domain shifts are critical issues that harm the performance of machine learning. Unsupervised Domain Adaptation (UDA) mitigates this issue but suffers when the domain shifts are steep and drastic. Gradual Domain Adaptation (GDA) alleviates…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Zixi Wang , Xiangxu Zhao , Tonglan Xie , Mengmeng Jing , Lin Zuo

The difficulty in frequency domain identification is that frequency components of arbitrary inputs and outputs are not related by the system's transfer function if signals are windowed. When rectangular windows are used, it is well known…

Signal Processing · Electrical Eng. & Systems 2020-12-07 Eduardo Martini , André V. G. Cavalieri , Peter Jordan , Lutz Lesshafft

This article describes a series of new results outlining equivalences between certain "rewirings" of filterbank system block diagrams, and the corresponding actions of convolution, modulation, and downsampling operators. This gives rise to…

Information Theory · Computer Science 2012-10-15 Keigo Hirakawa , Patrick J. Wolfe

The performance of a machine learning model degrades when it is applied to data from a similar but different domain than the data it has initially been trained on. To mitigate this domain shift problem, domain adaptation (DA) techniques…

Machine Learning · Computer Science 2024-10-08 Felix Ott , David Rügamer , Lucas Heublein , Bernd Bischl , Christopher Mutschler

The time-modulated array (TMA) is a simple array architecture in which each antenna is connected via a multi-throw switch. The switch acts as a modulator switching state faster than the symbol rate. The phase shifting and beamforming is…

Signal Processing · Electrical Eng. & Systems 2025-02-13 Marcin Wachowiak , André Bourdoux , Sofie Pollin

This paper deals with fractional-order controlled systems and fractional-order controllers in the frequency domain. The mathematical description by fractional transfer functions and properties of these systems are presented. The new ways…

Optimization and Control · Mathematics 2007-05-23 I. Petras , L. Dorcak , P. O'Leary , B. M. Vinagre , I. Podlubny

Tremendous research efforts have been made to thrive deep domain adaptation (DA) by seeking domain-invariant features. Most existing deep DA models only focus on aligning feature representations of task-specific layers across domains while…

Computer Vision and Pattern Recognition · Computer Science 2020-05-15 Shuang Li , Chi Harold Liu , Qiuxia Lin , Binhui Xie , Zhengming Ding , Gao Huang , Jian Tang

Domain generalization aims to train models on multiple source domains so that they can generalize well to unseen target domains. Among many domain generalization methods, Fourier-transform-based domain generalization methods have gained…

Image and Video Processing · Electrical Eng. & Systems 2023-12-14 Hongyi Pan , Bin Wang , Zheyuan Zhang , Xin Zhu , Debesh Jha , Ahmet Enis Cetin , Concetto Spampinato , Ulas Bagci

We investigate the application of windowed Fourier frames (WFFs) to the numerical solution of partial differential equations, focussing on elliptic equations. The action of a partial differential operator (PDO) on a windowed plane wave is…

Analysis of PDEs · Mathematics 2010-09-13 Samir K. Bhowmik , Christiaan C. Stolk

We consider the space-fractional operator with order $0<\alpha<1$ on the metric star graph. The boundary conditions at the vertices of the metric star graph providing the self-adjointness of the operator are derived. The obtained result is…

Spectral Theory · Mathematics 2023-05-03 K. K. Sabirov , R. R. Ashurov

Top-performing deep architectures are trained on massive amounts of labeled data. In the absence of labeled data for a certain task, domain adaptation often provides an attractive option given that labeled data of similar nature but from a…

Machine Learning · Statistics 2015-03-02 Yaroslav Ganin , Victor Lempitsky

The aim of this paper is to give an overview of domain adaptation and transfer learning with a specific view on visual applications. After a general motivation, we first position domain adaptation in the larger transfer learning problem.…

Computer Vision and Pattern Recognition · Computer Science 2017-03-31 Gabriela Csurka

Domain walls in equilibrium phase transitions propagate in a preferred direction so as to minimize the free energy of the system. As a result, initial spatio-temporal patterns ultimately decay toward uniform states. The absence of a…

patt-sol · Physics 2009-10-22 Aric Hagberg , Ehud Meron

Domain adaption has been widely adapted for cross-domain sentiment analysis to transfer knowledge from the source domain to the target domain. Whereas, most methods are proposed under the assumption that the target (test) domain is known,…

Computation and Language · Computer Science 2024-02-23 Siyin Wang , Jie Zhou , Qin Chen , Qi Zhang , Tao Gui , Xuanjing Huang

Unsupervised Domain Adaptation (DA) is used to automatize the task of labeling data: an unlabeled dataset (target) is annotated using a labeled dataset (source) from a related domain. We cast domain adaptation as the problem of finding…

Machine Learning · Statistics 2018-03-22 Twan van Laarhoven , Elena Marchiori

Domain Adaptation (DA) is a highly relevant research topic when it comes to image classification with deep neural networks. Combining multiple source domains in a sophisticated way to optimize a classification model can improve the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-19 Sebastian Schrom , Stephan Hasler , Jürgen Adamy