Visual analysis of dimensionality reduction quality for parameterized projections

Visualization System Requirements for Data Processing Pipeline Design and Optimization

“…Each colored cell indicates a requirement that is important for a given case study/paper, and an 'x' indicates that the requirement remains unmet by users' current tools. [25] req req req req req Chemical process models [26] x req req x Economic modelling [27] req req xx req req x req Aircraft engine design [28] req req x req req Phylogenetic trees [29,30] x req x x req req Molecular evolution [31,32] x x req x req x * Raidou et al [75] iCoCooN req req req * Ruppert et al [46] --x req x Luboshik et al [38] --x req req req Bruckner et al [10] --x req x req * Beham et al [43] Cupid req req xx Konyha et al [39] --x req x Pretorius et al [12] Paramorama req x req Afzal et al [36] RVF x req req x Bergner et al [13] ParaGlide xx req Torsney-Weir et al [33] Tuner x req x x * Padua et al [11] --x req x * Bögl et al [42] TiMoVA req req req x x req Spence et al [73] --req req Berger et al [9] --req x xx Piringer et al [40] HyperMoVal xx req req req Matkovic et al [17] --req x Coffey et al [34] --x x req Matkovic et al [50] --x Potter et al [49] Ensemble-Vis x req Booshehrian et al [19] Vismon req x req x Brecheisen et al [52] --x req x Unger et al [54] --req req req Amirkhanov et al [74] --x Marks et al [48] Design Galleries req x Waser et al [18] World Lines req x x * Martins et al [35] --x req x * Wu [53] --xx x Guo et al [41] --req…”

“…Examples include free text, images from a multitude of patients [33], multimedia, and the designs of 3D models [34]. Second, as the number of variables increases (e.g., [35]), it is more challenging to deal with inputs. Third, as more sophisticated relationships (e.g., additional factors in the spread of disease in an epidemic [36]) are sought then processing time may increase exponentially.…”

“…Sometimes this is due to the highdimensionality of the data (e.g., [35] and the phylogenetic trees case study in Sec. 4.7).…”

Projection inspector: Assessment and synthesis of multidimensional projections

“…The goal, in many cases, is to provide guidance for choosing or comparing projections. Graphical outputs of evaluation measures are also employed not only to help find good projections, but also to locate regions of a layout that have better properties or worse deviations of target neighborhoods [32].…”

Facing the high-dimensions: Inverse projection with radial basis functions

“…As the names suggest, false neighbors consist of pairs of instances where δ ij 5 d ij , while tears present δ ij ⋗d ij [28]. The presence of such artifacts can result in mapping functions that are not coherent with the given data set.…”