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Networking and Internet Architecture · Computer Science 2011-06-28 Ayon Chakraborty , Swarup Kumar Mitra , M. K. Naskar

The rapid advancement of large language models (LLMs) has revolutionized natural language processing, enabling applications in diverse domains such as healthcare, finance and education. However, the growing reliance on extensive data for…

Cryptography and Security · Computer Science 2024-12-10 Guoshenghui Zhao , Eric Song

This paper was withdrawn by the author due to a fatal error.

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This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

Numerical Analysis · Mathematics 2012-08-08 Juergen Geiser

This paper has been withdrawn due to its publication

Optimization and Control · Mathematics 2007-09-18 Jiawang Nie , James W. Demmel

Convex programming with linear constraints plays an important role in the operation of a number of everyday systems. However, absent any additional protections, revealing or acting on the solutions to such problems may reveal information…

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This paper was withdrawn by arXiv admin due to authors' misrepresentation of identity/affiliation.

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. P. Koperski , M. T. Koperski

The paper has been withdrawn due to an error in Lemma 1.

Data Structures and Algorithms · Computer Science 2007-05-23 Sumit Ganguly

This paper has been withdrawn by the author due a few mistakes in the paper.

Complex Variables · Mathematics 2011-01-19 Lakshmi Priya Magudeeswari Easwaran

This paper has been withdrawn for modification.

Cryptography and Security · Computer Science 2013-08-16 Nilanjan Sen

This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

Quantum Physics · Physics 2007-05-23 Minh-Dung Dang

With the increasing demands for privacy protection, privacy-preserving machine learning has been drawing much attention in both academia and industry. However, most existing methods have their limitations in practical applications. On the…

Machine Learning · Computer Science 2022-02-22 Fei Zheng , Chaochao Chen , Xiaolin Zheng , Mingjie Zhu

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

Probability · Mathematics 2008-09-15 Qingyang Guan

This paper has been withdrawn by the author

Quantum Physics · Physics 2008-05-07 Yibo Zhao

This paper has been withdrawn by the author due to a serious mistake on Lemma 2.4.

General Mathematics · Mathematics 2010-05-04 Seong Ik Cho

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

General Mathematics · Mathematics 2008-04-29 Antonio Leon

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

Symplectic Geometry · Mathematics 2007-05-23 Sei-Qwon Oh

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

Computer Science and Game Theory · Computer Science 2008-09-24 Riccardo Alberti