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CDIM: Document Clustering by Discrimination Information Maximization
2015
Information Sciences
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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]
2019
arXiv
pre-print
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2019 pre-print arXiv:1903.03144v1 fatcat:vaoacrrg7rg7vn5i76hgg2n3ii
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
2016
Bulletin de la Société Mathématique de France
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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]
2018
arXiv
pre-print
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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
2018
Journal of symbolic computation
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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
2016
arXiv
pre-print
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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]
2018
arXiv
pre-print
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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]
2008
arXiv
pre-print
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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]
2005
arXiv
pre-print
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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
2015
Methods of Information in Medicine
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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
2005
Journal of the London Mathematical Society
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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]
1998
arXiv
pre-print
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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]
2007
Proceedings of the 2007 SIAM International Conference on Data Mining
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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]
2004
arXiv
pre-print
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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
1999
Journal of Algebra
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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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