We display visualizations using Radviz3d, Viz3D, 3D UMAP, 3D tSNE and Star coordinate plots with OLDA and ULDA for simulated datasets and real datasets.

Simulated Datasets

Overlap of simulated groups

##              [,1]         [,2]         [,3]         [,4]         [,5]
## [1,] 1.000000e+00 1.639895e-04 3.182632e-05 1.798221e-04 2.205202e-04
## [2,] 1.639895e-04 1.000000e+00 2.532816e-05 4.463230e-05 6.468964e-05
## [3,] 3.182632e-05 2.532816e-05 1.000000e+00 8.213254e-06 4.027518e-05
## [4,] 1.798221e-04 4.463230e-05 8.213254e-06 1.000000e+00 7.275133e-05
## [5,] 2.205202e-04 6.468964e-05 4.027518e-05 7.275133e-05 1.000000e+00
##              [,1]         [,2]         [,3]         [,4]         [,5]
## [1,] 1.0000000000 0.0018245417 0.0005198596 0.0009900744 0.0010713403
## [2,] 0.0018245417 1.0000000000 0.0007913029 0.0001353604 0.0010634643
## [3,] 0.0005198596 0.0007913029 1.0000000000 0.0006378955 0.0022492259
## [4,] 0.0009900744 0.0001353604 0.0006378955 1.0000000000 0.0001373052
## [5,] 0.0010713403 0.0010634643 0.0022492259 0.0001373052 1.0000000000
##             [,1]        [,2]        [,3]        [,4]        [,5]
## [1,] 1.000000000 0.007264116 0.007370374 0.012466875 0.005986071
## [2,] 0.007264116 1.000000000 0.005624748 0.015194218 0.015208090
## [3,] 0.007370374 0.005624748 1.000000000 0.009914756 0.008665576
## [4,] 0.012466875 0.015194218 0.009914756 1.000000000 0.010302230
## [5,] 0.005986071 0.015208090 0.008665576 0.010302230 1.000000000
##            [,1]       [,2]       [,3]       [,4]       [,5]
## [1,] 1.00000000 0.04381444 0.04474195 0.05224307 0.02608161
## [2,] 0.04381444 1.00000000 0.05388159 0.09802665 0.04805296
## [3,] 0.04474195 0.05388159 1.00000000 0.04209911 0.03580285
## [4,] 0.05224307 0.09802665 0.04209911 1.00000000 0.03996085
## [5,] 0.02608161 0.04805296 0.03580285 0.03996085 1.00000000
##           [,1]      [,2]      [,3]      [,4]      [,5]
## [1,] 1.0000000 0.2875031 0.2057802 0.2257169 0.2047143
## [2,] 0.2875031 1.0000000 0.2561648 0.2633662 0.2873042
## [3,] 0.2057802 0.2561648 1.0000000 0.2294935 0.3153589
## [4,] 0.2257169 0.2633662 0.2294935 1.0000000 0.2168708
## [5,] 0.2047143 0.2873042 0.3153589 0.2168708 1.0000000

Fig. S1: UMAP and RadViz3D of 100D MixSim Simulated Datasets

  1. t-SNE
  2. UMAP
  3. Star Coordinates with OLDA
  4. Star Coordinates with ULDA
  5. Viz3D
  6. RadViz3D

Real Datasets

Fig. S2: Gamma Ray Burst Dataset


(a) t-SNE

(b) UMAP

(c) Star Coordinates with OLDA
(d) Star Coordinates with ULDA

(e) Viz3D

(f) RadViz3D

Fig. S3: Zipcode Digits Dataset


(a) t-SNE

(b) UMAP

(c) Star Coordinates with OLDA
(d) Star Coordinates with ULDA

(e) Viz3D

(f) RadViz3D

Fig. S4: Faces


(a) t-SNE

(b) UMAP

(c) Star Coordinates with OLDA
(d) Star Coordinates with ULDA

(e) Viz3D

(f) RadViz3D

Fig. S5: Suicide Ideation


(a) t-SNE

(b) UMAP

(c) Viz3D

(d) RadViz3D

Fig. S6: Voting Records of US Senators (Senators Dataset)


(a) t-SNE

(b) UMAP

(c) Star Coordinates with OLDA
(d) Star Coordinates with ULDA

(e) Viz3D

(f) RadViz3D

Fig. S7: Autism Spectrum Disorder (ASD) Screening (Autisim Dataset)


(a) t-SNE

(b) UMAP

(c) Star Coordinates with OLDA
(d) Star Coordinates with ULDA

(e) Viz3D

(f) RadViz3D

Fig. S8: SPECT Heart Datset


(a) t-SNE

(b) UMAP

(c) Star Coordinates with OLDA
(d) Star Coordinates with ULDA

(e) Viz3D

(f) RadViz3D

Fig. S8: Indic scripts (Script Dataset, 6 groups)


(a) t-SNE

(b) UMAP

(c) Star Coordinates with OLDA
(d) Star Coordinates with ULDA

(e) Viz3D

(f) RadViz3D

Fig. S9: RNA sequences of human tissues (Gtex Dataset)


(a) t-SNE

(b) UMAP

(c) Viz3D

(d) RadViz3D