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On rationality of nonnegative matrix factorization

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Figure

Figure 1: Matrix Hε.
Figure 2: In any 5-dimensional NMF M = L · R, matrix L matches one of the four patterns above, up to apermutation of its columns
Figure 3: The two images show orthogonal projections of the 3-dimensional polytope P. The black dots indicate6 interior points: 3 points (r1, r2, r3) on the brown xy-face, and 3 points (r4, r5, r6) on the blue xz-face.The two slightly different projections
Figure 4: The outer polygon is P0 (after identifying the xy-plane in R3 with R2). The dashed quadrilateralshows the supporting polygon Sq1 in case q1 = ( 18, 0, 0)⊤
+4

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