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This paper has been withdrawn by the author due to the discovery of a serious bias resulting from the systematic dimming of galaxies with larger ellipticities away from the North Galactic Pole. Thus the conclusion that there is a special…

Astrophysics · Physics 2007-09-04 Michael J. Longo

This paper has been withdrawn by the authors, due to a possible bias in the twosome approach found by Dr. George Kirov. It seems that the bias has amplified an existing weak signal. The detection of the bias was made possible by the posting…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hans W. Moises , Pall Matthiasson , Tomas Zoega , Gaurang Jhala , Liu Yang , Irving I. Gottesman , Tomas Helgason

In complex systems, networks represent connectivity relationships between nodes through edges. Latent space models are crucial in analyzing network data for tasks like community detection and link prediction due to their interpretability…

Methodology · Statistics 2025-05-29 Yan Zhang , Jun Liao , Xinyan Fan , Kuangnan Fang , Yuhong Yang

The paper has been withdrawn by the author, due to a critical error stemming from the defined template.

Geometric Topology · Mathematics 2007-11-13 Neil R. Nicholson

Interpreting complex neural networks is crucial for understanding their decision-making processes, particularly in applications where transparency and accountability are essential. This proposed method addresses this need by focusing on…

Neural and Evolutionary Computing · Computer Science 2024-12-10 Deepshikha Bhati , Fnu Neha , Md Amiruzzaman , Angela Guercio , Deepak Kumar Shukla , Ben Ward

This paper has been withdrawn for the reasons mentioned in the Comments.

Quantum Physics · Physics 2007-05-23 Paul B. Slater

We consider Gallai's graph Modular Decomposition theory for network analytics. On the one hand, by arguing that this is a choice tool for understanding structural and functional similarities among nodes in a network. On the other, by…

Discrete Mathematics · Computer Science 2018-12-04 Carenne Ludena , Miguel mendez , Nicolas Bolivar

Networks and network-like structures are amongst the central building blocks of many technological and biological systems. Given a mathematical graph representation of a network, methods from graph theory enable a precise investigation of…

Computer Vision and Pattern Recognition · Computer Science 2015-02-19 Michael Dirnberger , Adrian Neumann , Tim Kehl

We present a network community-detection technique based on properties that emerge from a nature-inspired system of aligning particles. Initially, each vertex is assigned a random-direction unit vector. A nonlinear dynamic law is…

Social and Information Networks · Computer Science 2026-01-27 Filipe Alves Neto Verri , Roberto Alves Gueleri , Qiusheng Zheng , Junbao Zhang , Liang Zhao

The primary objective of this paper is to revisit and make a case for the merits of R.A. Fisher's objections to the decision-theoretic framing of frequentist inference. It is argued that this framing is congruent with the Bayesian but…

Methodology · Statistics 2016-08-02 Aris Spanos

This paper has been withdrawn by the author: it was a too preliminary version.

Other Condensed Matter · Physics 2007-05-23 Francois Ghoulmie

This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

Algebraic Geometry · Mathematics 2007-05-23 Yakov Varshavsky

This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.

Classical Analysis and ODEs · Mathematics 2012-06-11 Shuanglin Shao

In increasingly many settings, data sets consist of multiple samples from a population of networks, with vertices aligned across these networks. For example, brain connectivity networks in neuroscience consist of measures of interaction…

Statistics Theory · Mathematics 2021-05-11 Keith Levin , Asad Lodhia , Elizaveta Levina

This paper has been withdrawn by the authors because the paper is largely revised and improved, and to appear in Mechanics Research Communications.

Classical Physics · Physics 2007-05-23 Y. C. Huang , Z. X. Liu , X. G. Li

This work studies the limitations of uniquely identifying the structure (i.e., topology) of a networked linear system from partial measurements of its nodal dynamics. In general, many networks can be consistent with these measurements; this…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Jaidev Gill , Jing Shuang Li

Explainability and uncertainty quantification are key to trustable artificial intelligence. However, the reasoning behind uncertainty estimates is generally left unexplained. Identifying the drivers of uncertainty complements explanations…

Machine Learning · Computer Science 2025-05-13 Pascal Iversen , Simon Witzke , Katharina Baum , Bernhard Y. Renard

This paper has been withdrawn due to a crucial theoretical error.

We prove identifiability of parameters for a broad class of random graph mixture models. These models are characterized by a partition of the set of graph nodes into latent (unobservable) groups. The connectivities between nodes are…

Statistics Theory · Mathematics 2010-06-07 Elizabeth S. Allman , Catherine Matias , John A. Rhodes

WITHDRAWAL NOTICE This paper has been withdrawn by the authors as required by the American Journal of Sociology, which has accepted the paper for publication. AJS will not publish papers if the preprint remains posted on arXiv.

Adaptation and Self-Organizing Systems · Physics 2008-01-28 Arnout Van de Rijt , David Siegel , Michael Macy