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Computing appropriate representations for multidimensional data

Yeow Wei Choong, Dominique Laurent, Patrick Marcel
2001 Proceedings of the 4th ACM international workshop on Data warehousing and OLAP - DOLAP '01  
More precisely we define a measurement of the quality of the representation of multidimensional data and we present a framework for investigating the computation of appropriate representations.  ...  We identify the problems of computing such representations and study them w.r.t. an OLAP restructuring operator.  ...  We believe that computing appropriate representations can help to identify patterns which would otherwise remain unknown to the user.  ... 
doi:10.1145/512236.512239 dblp:conf/dolap/ChoongLM01 fatcat:epyr7muj55e6tpn65uxzvbkyq4

Computing appropriate representations for multidimensional data

Yeow Wei Choong, Dominique Laurent, Patrick Marcel
2003 Data & Knowledge Engineering  
More precisely we define a measurement of the quality of the representation of multidimensional data and we present a framework for investigating the computation of appropriate representations.  ...  We identify the problems of computing such representations and study them w.r.t. an OLAP restructuring operator.  ...  We believe that computing appropriate representations can help to identify patterns which would otherwise remain unknown to the user.  ... 
doi:10.1016/s0169-023x(02)00179-9 fatcat:foav3rrey5clndz2bpmcnt2rlu

Geometric algebra method for multidimensionally-unified GIS computation

LinWang Yuan, GuoNian Lü, Wen Luo, ZhaoYuan Yu, Lin Yi, YeHua Sheng
2011 Chinese Science Bulletin  
Using the multivector representation for basic geometric objects within GA, we are able to construct adaptable unified geometric-topological structural models of a multidimensional geographical scene.  ...  Seamless multidimensional handling and coordinate-free characteristics of geometric algebra (GA) provide means to construct multidimensionally-unified GIS computation models.  ...  For the future, we will focus on developing a basic platform that combines this theoretical framework, data models, data representation and data analysis.  ... 
doi:10.1007/s11434-011-4891-3 fatcat:rkw5jm6ipze7rhppqxtr5bcbqe

Towards Analytical Data Management for Numerical Simulations

Ramon G. Costa, Fábio Porto, Bruno Schulze
2012 Alberto Mendelzon Workshop on Foundations of Data Management  
A representation for numerical simulation data is presented that considers a multidimensional model, for dimensional variables, and their corresponding physical quantities.  ...  Numerical simulation of natural phenomena is being fostered by recent advances in powerful high processing computing platforms.  ...  Next, the scientist may choose an appropriate numerical method that would solve the equations and compute for each reference point the values for selected physical quantities.  ... 
dblp:conf/amw/CostaPS12 fatcat:rcli2ltsvrah5d2fuh7y2et2we

The Projection Explorer: A Flexible Tool for Projection-based Multidimensional Visualization

Fernando V. Paulovich, Maria Cristina F. Oliveira, Rosane Minghim
2007 Computer Graphics and Image Processing (SIBGRAPI), Proceedings of the Brazilian Symposium on  
Multidimensional projections map data points, defined in a high-dimensional data space, into a 1D, 2D or 3D representation space.  ...  A set of examples -on both structured (table) and unstructured (text) data -illustrate how projection based visualizations, coupled with appropriate exploration tools, offer a flexible set-up for multidimensional  ...  We acknowledge our collaborators and research students for their contributions to PEx and the InfoVis2 project.  ... 
doi:10.1109/sibgra.2007.4368165 fatcat:irs6atbmc5bpxfisdmomchmqdi

The Projection Explorer: A Flexible Tool for Projection-based Multidimensional Visualization

Fernando V. Paulovich, Maria Cristina F. Oliveira, Rosane Minghim
2007 XX Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2007)  
Multidimensional projections map data points, defined in a high-dimensional data space, into a 1D, 2D or 3D representation space.  ...  A set of examples -on both structured (table) and unstructured (text) data -illustrate how projection based visualizations, coupled with appropriate exploration tools, offer a flexible set-up for multidimensional  ...  We acknowledge our collaborators and research students for their contributions to PEx and the InfoVis2 project.  ... 
doi:10.1109/sibgrapi.2007.21 dblp:conf/sibgrapi/PaulovichOM07 fatcat:3mopjkau3jhclf5xy7dkynr4zm

Csolap (Continuous Spatial On-Line Analytical Processing)

Taher Omran Ahmed, Abdullatif Mihdi Buras
2009 Zenodo  
In this paper, we discuss research issues related to the integration of continuity in multidimensional structures, present briefly a multidimensional model for continuous field data.  ...  There is a need to integrate spatiotemporal continuity within multidimensional structures to enable analysis and exploration of continuous field data.  ...  According to our multidimensional model where the cube at the most detailed levels contains sample data values the first choice is more appropriate.  ... 
doi:10.5281/zenodo.1079399 fatcat:mk6kucjh6jcozjgf35vo7grit4

MDSORT: A special-purpose multidimensional scaling program for sorting data

Yoshio Takane
1981 Behavior Research Methods  
MDSORT: A special-purpose multidimensional scaling program for sorting data YOSHIO TAKANE McGill University, Montreal, Quebec H3A IBl, Canada MDSORT (Takane, 1980 ) is a multidimensional scaling (MDS  ...  The program prints out the value of the chi-square statistic and the associated degrees of freedom for each dimensionality (from which one can determine appropriate dimensionality in the representation  ... 
doi:10.3758/bf03202097 fatcat:q6k4wutvfzde7fdtworb5gvt3m

Examining Similarity Structure: Multidimensional Scaling and Related Approaches in Neuroimaging

Svetlana V. Shinkareva, Jing Wang, Douglas H. Wedell
2013 Computational and Mathematical Methods in Medicine  
These techniques offer several advantages and complement other methods for brain data analyses, as they allow for comparison of representational structure across individuals, brain regions, and data acquisition  ...  Particular attention is paid to multidimensional scaling and related approaches that yield spatial representations or provide methods for characterizing individual differences.  ...  The flexibility of similarity based methods allows for comparison of internal representations derived from fMRI data to those based on behavioral responses, computation, or physical characteristics of  ... 
doi:10.1155/2013/796183 pmid:23662162 pmcid:PMC3639644 fatcat:b5vyoqk36fe7piommuku4sul4e

Pictorial analysis: a multi-resolution data visualization approach for monitoring and diagnosis of complex systems

V.G Grishin, A.S Sula, Mihaela Ulieru
2003 Information Sciences  
recognition in doing data analysis and selecting appropriate representations, features and class descriptions by means of interactive human-computer learning.  ...  This paper aims to describe the prospective methodology (Pictorial Analysis) of a human-computer interaction capable to select and adjust visual representations for better feature and pattern selection  ...  ., who led the work for the gas turbine engine diagnostics presented in Section 7.  ... 
doi:10.1016/s0020-0255(03)00044-6 fatcat:wctn7tcgzzdvjouh3ufdyiuqee

WrightTools: a Python package for multidimensional spectroscopy

Blaise Thompson, Kyle Sunden, Darien Morrow, Daniel Kohler, John Wright
2019 Journal of Open Source Software  
Instead, the appropriate axis value at each dataset coordinate is computed on-the-fly using the given expression.  ...  WrightTools is a new Python package that is made specifically for multidimensional spectroscopy.  ... 
doi:10.21105/joss.01141 fatcat:7u2whgqz4bgfjg2hzsdugc2epi

Implementation and evaluation of a hypercube-based method for spatiotemporal exploration and analysis

Pierre Marchand, Alexandre Brisebois, Yvan Bédard, Geoffrey Edwards
2004 ISPRS journal of photogrammetry and remote sensing (Print)  
The multidimensional approach has already demonstrated a good potential for spatiotemporal exploration and analysis despite its lack of explicit spatial, temporal and spatio-temporal topological operators  ...  that are of key importance for spatio-temporal knowledge discovery.  ...  While we agree with these requirements in the context of a multidimensional database which builds its cartographic representation dynamically we feel it is not appropriate to associate the spatial measure  ... 
doi:10.1016/j.isprsjprs.2003.12.002 fatcat:qq6phwv7nbcclnayzvx6rcg2j4

Determining the Dimensionality of Multidimensional Scaling Representations for Cognitive Modeling

Michael D. Lee
2001 Journal of Mathematical Psychology  
Multidimensional scaling models of stimulus domains are widely used as a representational basis for cognitive modeling.  ...  Academic Press COGNITIVE MODELING AND MULTIDIMENSIONAL SCALING Multidimensional scaling techniques (Shepard, 1962; Kruskal, 1964; see Cox 6 Cox, 1994, for a recent overview) generate spatial representations  ...  ACKNOWLEDGMENTS I thank Kenneth Pope and Chris Woodruff for helpful discussions and Greg Ashby, In Jae Myung, and Joe Rodgers for their comments on earlier versions of this article.  ... 
doi:10.1006/jmps.1999.1300 pmid:11178927 fatcat:necqxxmd75gw3n24tlnkzu33jq

Representation of Aggregation Knowledge in OLAP Systems

Nicolas Prat, Isabelle Comyn-Wattiau, Jacky Akoka
2010 European Conference on Information Systems  
Decision support systems are mainly based on multidimensional modeling. Using On-Line Analytical Processing (OLAP) tools, decision makers navigate through and analyze multidimensional data.  ...  In order to account for the characteristics of this knowledge, we propose to represent it with objects and rules.  ...  It offers a typology of aggregation rules, and examples for each type of rule (some of which are illustrated in the present paper).  ... 
dblp:conf/ecis/PratCA10 fatcat:n3i2owr46nfblhyqjiuseabmei

2nd Special issue on matrix computations and statistics

Jesse L. Barlow, Haesun Park, Patrick J.F. Groenen, Hongyuan Zha
2006 Computational Statistics & Data Analysis  
It contains topics such as new data analysis models, fast computational methods, and theoretical developments using matrix computations in statistics: a new model for principal components of binary data  ...  Computational statistics and data analysis has published papers in matrix computations and statistics (for instance, encourages submissions in this area.  ...  A final set of papers concerns the multidimensional representation of data. Eilers et al. (2004) present what they call a P-spline approach to multidimensional grids.  ... 
doi:10.1016/j.csda.2004.08.003 fatcat:4bty4gk6g5fi3hz3fraqzm4evu
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