Abstract
Visualization of multidimensional data has always been a research hotspot. Dimensional analysis is an efficient way to solve multidimensional problems. The current dimensional analysis methods mostly consider that all dimension correlations are at the same granularity, but actually the correlation between dimensions may be multi-scale. Multi-scale dimensions can also reflect the multi-scale data association mode, which is of certain value for analyzing the hidden information of multidimensional data. In this paper, we propose a method of dimension subdivision to resolve the multi-scale correlations between dimensions. To explore the multi-scale complex relationship between dimensions, we subdivide the original dimensions into finer sub-dimensions and build a graph-based data structure of the correlations to partition strongly relevant and irrelevant dimensions. We also proposed D-div, a visual dimension analysis system to support our method. In D-div, we provide visualization and interaction techniques to explore subdivided dimensions. Via case studies with two datasets, we demonstrate the effectiveness of our method of dimension subdivision.
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09 April 2021
A Correction to this paper has been published: https://doi.org/10.1007/s12650-021-00754-2
References
Adrian M, Michael G (2013) Splatterplots: overcoming overdraw in scatter plots. IEEE Trans Vis Comput Graph 19(9):1526–1538
Becker RA, Cleveland WS (1987) Brushing scatterplots. Technometrics 29(2):127–142
Cheng S, Mueller K (2016) The data context map: fusing data and attributes into a unified display. IEEE Trans Vis Comput Graph 22(1):121–130
Cheng S, Xu W, Mueller K (2019) Colormapnd: a data-driven approach and tool for mapping multivariate data to color. IEEE Trans Vis Comput Graph 25(2):1361–1377
Cheng S, Mueller K (2015) Improving the fidelity of contextual data layouts using a generalized barycentric coordinates framework. In: 2015 IEEE Pacific visualization symposium (PacificVis), pp 295–302
Elmqvist N, Dragicevic P, Fekete JD (2008) Rolling the dice: multidimensional visual exploration using scatterplot matrix navigation. IEEE Trans Vis Comput Graph 14(6):1539–1548
Ester M, Kriegel H. P, Sander J, Xu X (1996) A density-based algorithm for discovering clusters in large spatial databases with noise. In: International conference on knowledge discovery and data mining
Hoffman P, Grinstein G, Marx K, Grosse I, Stanley E (1997) DNA visual and analytic data mining. In: Proceedings. Visualization ’97 (Cat. No. 97CB36155), pp 437–441
Inselberg A, Dimsdale B (1990) Parallel coordinates: a tool for visualizing multi-dimensional geometry. In: Visualization, 1990. Visualization ’90., Proceedings of the first IEEE conference on, pp 361–378
Itoh T, Kumar A, Klein K, Kim J (2017) High-dimensional data visualization by interactive construction of low-dimensional parallel coordinate plots. J Vis Lang Comput
Iyer GR, Duttaduwarah S, Sharma A (2018) Datascope: interactive visual exploratory dashboards for large multidimensional data. In: IEEE workshop on visual analytics in healthcare, pp 17–23
Jolliffe I (2002) Principal component analysis springerd verlag
Kobourov SG (2012) Spring embedders and force directed graph drawing algorithms
Kohonen T (1990) The self-organizing map. Proc IEEE 1(1–3):1–6
Kolhe S, Deshkar P (2017) Dimension reduction methodology using group feature selection. In: 2017 International conference on innovative mechanisms for industry applications (ICIMIA), pp 789–791
Parsons L, Haque E, Liu H (2004) Subspace clustering for high dimensional data: a review. ACM SIGKDD Explor Newsl 6(1):90–105
Sharko J, Grinstein G, Marx KA (2008) Vectorized radviz and its application to multiple cluster datasets. IEEE Trans Vis Comput Graphics 14(6):1427–1444
Tatu A, Albuquerque G, Eisemann M, Bak P, Theisel H, Magnor M, Keim D (2011) Automated analytical methods to support visual exploration of high-dimensional data. IEEE Trans Vis Comput Graphics 17(5):584–597
Tatu A, Bertini E, Schreck T, Keim D, Bremm S, Landesberger TV (2012) Clustnails: visual analysis of subspace clusters. Tsinghua Sci Technol 17(4):419–428
Turkay C, Kaya E, Balcisoy S, Hauser H (2016) Designing progressive and interactive analytics processes for high-dimensional data analysis. IEEE Trans Vis Comput Graphics (99): 1–1
Wong PC, Bergeron RD (1997) Multivariate visualization using metric scaling. In: Visualization ’97., Proceedings, pp 111–ff
Xiaoru Y, Donghao R, Zuchao W, Cong G (2013) Dimension projection matrix/tree: interactive subspace visual exploration and analysis of high dimensional data. IEEE Trans Vis Comput Graphics 19(12):2625–2633
Zhang Z, Zhang J, Chan T, Ying LU, Yuan X, Tianlong GU (2017) Interactive dimension reordering in radviz with correlation matrix. Pattern Recognit Artif Intell 30(7):637–645
Zhang T, Yang B (2016) Big data dimension reduction using PCA. In: 2016 IEEE international conference on smart cloud (SmartCloud), pp 152–157
Zheng Y, Suematsu H, Itoh T, Fujimaki R, Morinaga S, Kawahara Y (2015) Scatterplot layout for high-dimensional data visualization. J Vis 18(1):111–119
Zhou F, Huang W, Li J, Huang Y, Shi Y, Zhao Y (2015) Extending dimensions in radviz based on mean shift. In: 2015 IEEE Pacific visualization symposium (PacificVis), pp 111–115
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Zhang, Y., Yu, C., Wang, R. et al. Visual dimension analysis based on dimension subdivision. J Vis 24, 117–131 (2021). https://doi.org/10.1007/s12650-020-00694-3
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DOI: https://doi.org/10.1007/s12650-020-00694-3