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This paper investigates a general regularization framework for unsupervised domain adaptation in vector-valued regression under the covariate shift assumption, utilizing vector-valued reproducing kernel Hilbert spaces (vRKHS). Covariate…

Statistics Theory · Mathematics 2026-01-30 Markus Holzleitner , Sergiy Pereverzyev , Sergei V. Pereverzyev , Vaibhav Silmana , S. Sivananthan

We study Tikhonov regularization for solving ill--posed operator equations where the solutions are functions defined on surfaces. One contribution of this paper is an error analysis of Tikhonov regularization which takes into account…

Numerical Analysis · Mathematics 2016-12-15 Guozhi Dong , Bert Juettler , Otmar Scherzer , Thomas Takacs

This paper has been withdrawn by the authors, due to issues concerning the use of unpublished experimental data.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Dias de Deus , J. G. Milhano , J. Seixas

This paper has been withdrawn by the authors.

Networking and Internet Architecture · Computer Science 2009-12-07 Mohamed H. S. Morsy , Mohamad Y. S. Sowailem , Hossam M. H. Shalaby

This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.

Dynamical Systems · Mathematics 2007-05-23 Maria A. Avino-Diaz , Gabriela Bulancea

This paper has been withdrawn.

General Relativity and Quantum Cosmology · Physics 2009-11-04 Sandipan Sengupta

This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

Classical Analysis and ODEs · Mathematics 2011-05-02 Huseyin Cakalli

Title: An unlikely result Authors: T.M. Other Comments: This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the fact that some of the results turned out to be known.

Statistics Theory · Mathematics 2009-09-29 Isao Higuchi , Toshio Mikami

This paper has been withdrawn by the author due to a crucial error.

Analysis of PDEs · Mathematics 2010-03-22 Xavier Carvajal

This paper has been withdrawn by the author due to unspecified problems.

Strongly Correlated Electrons · Physics 2007-05-23 R. Kuhne

This paper has been retracted.

Machine Learning · Computer Science 2013-07-09 David McAllester

This paper has been withdrawn due to fundamental errors.

Strongly Correlated Electrons · Physics 2008-03-20 Kelly R. Patton

This paper has been withdrawn by the author due to a crucial mistakes.

Mathematical Physics · Physics 2007-08-20 Saifullah

This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.

Geometric Topology · Mathematics 2007-05-23 Jonathan Williams

High-frequency issues have been remarkably challenges in numerical methods for partial differential equations. In this paper, a learning based numerical method (LbNM) is proposed for Helmholtz equation with high frequency. The main novelty…

Numerical Analysis · Mathematics 2024-01-18 Yu Chen , Jin Cheng , Tingyue Li , Yun Miao

This paper has been withdrawn, since it contains a corollary with impossible consequences and the source of an error is currently unknown.

Functional Analysis · Mathematics 2008-05-28 Fernando Rambla , Jarno Talponen

The paper is withdrawn.

Algebraic Geometry · Mathematics 2007-05-23 Hossein Movasati , Evelina Viada

This paper has been withdrawn due to a critical error discovered in Theorem 4.21. Anyone with a historical or pragamatic interest in prior "negative results", however - e.g., failed proof attempts relating to the (in)consistency of ZF or…

Logic · Mathematics 2007-05-23 Bryan Ford

We consider the statistical inverse problem of recovering a function $f: M \to \mathbb R$, where $M$ is a smooth compact Riemannian manifold with boundary, from measurements of general $X$-ray transforms $I_a(f)$ of $f$, corrupted by…

Statistics Theory · Mathematics 2018-02-14 François Monard , Richard Nickl , Gabriel P. Paternain

This paper has been withdrawn by the author.

Classical Analysis and ODEs · Mathematics 2012-03-27 Erdoğan Şen