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CDIM: Document Clustering by Discrimination Information Maximization

Malik Tahir Hassan, Asim Karim, Jeong-Bae Kim, Moongu Jeon
2015 Information Sciences  
In this paper, we present CDIM, an algorithmic framework for partitional clustering of documents that maximizes the sum of the discrimination information provided by documents.  ...  We also illustrate the understandability and efficiency of CDIM, suggesting its suitability for practical document clustering.  ...  CDIM for repeated bisection The original CDIM algorithm works in a k-way fashion, also called direct clustering.  ... 
doi:10.1016/j.ins.2015.04.009 fatcat:k6mb2uuiprhxdpa7mcloslripy

CDIM: Cosmic Dawn Intensity Mapper Final Report [article]

Asantha Cooray, Tzu-Ching Chang, Stephen Unwin, Michael Zemcov, Andrew Coffey, Patrick Morrissey, Nasrat Raouf, Sarah Lipscy, Mark Shannon, Gordon Wu, Renyue Cen, Ranga Ram Chary (+12 others)
2019 arXiv   pre-print
The design is low risk, carries significant science and engineering margins, and makes use of technologies with high technical readiness level for space observations.  ...  The Cosmic Dawn Intensity Mapper (CDIM) will transform our understanding of the era of reionization when the Universe formed the first stars and galaxies, and UV photons ionized the neutral medium.  ...  The information presented about the CDIM mission concept is pre-decisional and is provided for planning and discussion purposes only.  ... 
arXiv:1903.03144v2 fatcat:h6ibgykdwjdipmeevkvucxq554

Incompressible Grassmannians of isotropic subspaces

Nikita A. Karpenko
2016 Bulletin de la Société Mathématique de France  
In the present paper we study another large class which may be considered as the simplest one for which we do not possess a complete general criterion of p-incompressibility.  ...  We only recall that canonical p-dimension cdim p X of a smooth complete variety X is the least dimension of the image of a self-correspondence X X of multiplicity prime to p; X is called p-incompressible  ... 
doi:10.24033/bsmf.2727 fatcat:tia2cc7r4jh4fjddraedaf4nnm

A Simple Proof for the Cycle Double Cover Conjecture [article]

A. Alipour, A. Tayebi
2018 arXiv   pre-print
In this paper, we prove the cycle double cover conjecture.  ...  Proof of Part 11: For the case of Cdim(G) = 2, proof is trivial. We are going to use induction on Cdim(G). Assume that our claim holds for Cdim(G) m. Let Cdim(G) = m + 1.  ...  This means that Cdim(G) n + 1 and because of n = Cdim(K) < Cdim(G), we get Cdim(G) = n + 1 = Cdim(K) + 1. Then, f is an optimal sign labeling for G.  ... 
arXiv:1811.08719v1 fatcat:b4kuymv3ifc7dcoc2xeormeami

On Gröbner bases and Krull dimension of residue class rings of polynomial rings over integral domains

Maria Francis, Ambedkar Dukkipati
2018 Journal of symbolic computation  
For a Noetherian integral domain, A we introduce the notion of combinatorial dimension of A[x_1, ...  ...  For such A-algebras, we derive a relation between Krull dimension and combinatorial dimension of A[x_1, ..., x_n]/a.  ...  Acknowledgements The authors thank the anonymous reviewers for suggestions and comments that have led to a significant improvement of the manuscript.  ... 
doi:10.1016/j.jsc.2017.03.003 fatcat:u6uadyeo25bwrmkcgavpln3sp4

Vanishing simplicial volume for certain affine manifolds

Michelle Bucher, Chris Connell, Jean-François Lafont
2016 arXiv   pre-print
This provides some further evidence for the veracity of the Auslander Conjecture.  ...  Along the way, we provide a simple cohomological criterion for aspherical manifolds with normal amenable subgroups of π_1 to have vanishing simplicial volume.  ...  We are particularly indebted to Clara Löh, for many insightful comments, and for catching a gap in an earlier version of this paper.  ... 
arXiv:1610.00832v1 fatcat:bk67ghlzovh4ri3lnvdegda5ve

The connected metric dimension at a vertex of a graph [article]

Linda Eroh, Cong X. Kang, Eunjeong Yi
2018 arXiv   pre-print
We show that cdim(G)-dim(G) can be arbitrarily large. We determine cdim(G) and cdim_G(v) for some classes of graphs.  ...  We call a resolving set S connected if S induces a connected subgraph of G.  ...  The authors are grateful to the anonymous referees for the corrections, as well as the valuable comments, which substantially improved this paper.  ... 
arXiv:1804.08147v4 fatcat:2lcyxcejanakti62wmowflqdqu

Elements of Algebraic Geometry and the Positive Theory of Partially Commutative Groups [article]

Montserrat Casals-Ruiz, Ilya V. Kazachkov
2008 arXiv   pre-print
The first main result of the paper is a criterion for a partially commutative group to be a domain.  ...  Then we establish normal forms for quantifier-free formulas over a non-abelian directly indecomposable partially commutative group .  ...  We would like to thank Alexei Miasnikov for useful discussions and remarks, and Vladimir Remeslennikov for his comments on an earlier version of this paper.  ... 
arXiv:0710.4077v2 fatcat:56hxzjtsqjb4dndb4wmcorjdcy

Centraliser Dimension and Universal Classes of Groups [article]

A.J. Duncan, I.V. Kazatchkov, V.N. Remeslennikov
2005 arXiv   pre-print
In this paper we establish results that will be required for the study of the algebraic geometry of partially-commutative groups.  ...  We study the centraliser dimension of a group, with particular attention to the height of the lattice of centralisers, which we call the centraliser dimension of the group.  ...  Introduction The purpose of this paper is to lay foundations for the study of equations over groups and in particular over free partially-commutative groups.  ... 
arXiv:math/0502498v1 fatcat:hwps7zce2zf4rhbgv2ckjy4nbu

Clinical Data Integration Model

V. Curcin, A. Barton, M. M. McGilchrist, H. Bastiaens, A. Andreasson, J. Rossiter, L. Zhao, T. N. Arvanitis, A. Taweel, B. C. Delaney, A. Burgun, J. -F. Ethier
2015 Methods of Information in Medicine  
Objectives: TRANSFoRm's general approach relies on a unified interoperability framework, described in a previous paper.  ...  We developed a core ontology for an interoperability framework based on data mediation.  ...  Acknowledgements We would like to thank our colleagues from the TRANSFoRm project for their support and insightful discussions regarding our endeavor.  ... 
doi:10.3414/me13-02-0024 pmid:24954896 fatcat:2klhhlsebbcnpfc77qtaw7mf4u

MULTIPLICITIES OF INDECOMPOSABLE INJECTIVES

AMNON YEKUTIELI, JAMES J. ZHANG
2005 Journal of the London Mathematical Society  
The authors thank the referee of this paper for a careful reading of the manuscript and valuable comments.  ...  If R is an Auslander dualizing complex over A there is a dimension function Cdim R;A : Mod A −→ Z called the canonical dimension.  ...  For a finite module M the formula is Cdim R;A M := −inf i | Ext i A (M, R) = 0 .  ... 
doi:10.1112/s002461070400571x fatcat:6jzkci5fsnathb6r3fssmsec6i

Rings with Auslander Dualizing Complexes [article]

Amnon Yekutieli, James J. Zhang
1998 arXiv   pre-print
We show that many results which hold for Auslander-Gorenstein rings also hold in the more general setting.  ...  On the other hand we give criteria for existence of Auslander dualizing complexes which show these occur quite frequently.  ...  Van den Bergh for many useful conversations and email correspondences.  ... 
arXiv:math/9804005v3 fatcat:kexq7msddjhxlmq7q77y35moua

Conical dimension as an intrisic dimension estimator and its applications [chapter]

Xin Yang, Sebastien Michea, Hongyuan Zha
2007 Proceedings of the 2007 SIAM International Conference on Data Mining  
In this paper we introduce a novel local intrinsic dimension estimator, conical dimension, for estimating the intrinsic dimension of a data set consisting of points lying in the proximity of a manifold  ...  We develop algorithms for computing the conical dimension paying special attention to the numerical robustness issues.  ...  Intersection cdim(X,K) 1 compute the cdim of X with K neighbors, ie, call cdim(X,K) 2 calculate avgcdim, the average cdim for X 3 round towards nearest integer of avgcdim, save as d 4 output all the sample  ... 
doi:10.1137/1.9781611972771.16 dblp:conf/sdm/YangMZ07 fatcat:lbli5mxpmrfu7cdjrwsuin2ofm

Multiplicities of Indecomposable Injectives [article]

Amnon Yekutieli, James J. Zhang
2004 arXiv   pre-print
Authors also thank the referee for careful reading of the manuscript and valuable comments.  ...  If R is an Auslander dualizing complex over A there is a dimension function Cdim R;A : Mod A → Z called the canonical dimension.  ...  A finitely generated A-module is simply called finite.  ... 
arXiv:math/0305209v2 fatcat:6dvydvm7mfhytn2shk5lrye2yi

Rings with Auslander Dualizing Complexes

Amnon Yekutieli, James J. Zhang
1999 Journal of Algebra  
We show that many results which hold for Auslander᎐Gorenstein rings also hold in the more general setting.  ...  On the other hand we give criteria for existence of Auslander dualizing complexes which show these occur quite frequently.  ...  Van den Bergh for many useful conversations and e-mail correspondences.  ... 
doi:10.1006/jabr.1998.7657 fatcat:wnibujxqsjewldg54omfrnoseq
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