Learning to cluster urban areas: two competitive approaches and an empirical validation

Vera, Camila; Lucchini, Francesca; Bro, Naim; Mendoza, Marcelo; Löbel, Hans; Gutiérrez, Felipe; Dimter, Jan; Cuchacovic, Gabriel; Reyes, Axel; Valdivieso, Hernán; Alvarado, Nicolás; Toro, Sergio

doi:10.1140/epjds/s13688-022-00374-2

EPJ Data Science

Table 6 Compactness of the maps used in our study. A higher value indicates a solution with more compact clusters. C1 and C2 show the indices for the first and second map, respectively

From: Learning to cluster urban areas: two competitive approaches and an empirical validation

H1: SOCIAL WINS ALL		C1	C2	N1	N2	Frac. of Pref.
GMM, SOCIAL, BLOCK, GLOBAL	GMM, ALL, BLOCK, GLOBAL	0,297	0,192	46	26	0,639
DMON, SOCIAL, BLOCK, GLOBAL	DMON, ALL, BLOCK, GLOBAL	0,317	0,274	35	36	0,493
GMM, SOCIAL, INDIVIDUAL, GLOBAL	GMM. ALL, INDIVIDUAL, GLOBAL	0,498	0,433	49	29	0,628
DMON, SOCIAL, INDIVIDUAL, GLOBAL	DMON, ALL, INDIVIDUAL, GLOBAL	0,499	0,494	39	40	0,494
GMM, SOCIAL, BLOCK, LOCAL	GMM, ALL, BLOCK, LOCAL	0,405	0,366	34	22	0,607
DMON, SOCIAL, BLOCK, LOCAL	DMON, ALL, BLOCK, LOCAL	0,386	0,394	30	27	0,526
GMM, SOCIAL, INDIVIDUAL, LOCAL	GMM, ALL, INDIVIDUAL, LOCAL	0,912	0,860	35	26	0,574
DMON, SOCIAL, INDIVIDUAL, LOCAL	DMON, ALL, INDIVIDUAL, LOCAL	0,923	0,933	26	30	0,464
				294	236
H2: DMON WINS GMM		C1	C2	N1	N2	Frac. of Pref.
DMON, SOCIAL, BLOCK, GLOBAL	GMM, SOCIAL, BLOCK, GLOBAL	0,317	0,297	29	49	0,372
DMON, VISUAL, BLOCK, GLOBAL	GMM, VISUAL, BLOCK, GLOBAL	0,122	0,081	48	25	0,658
DMON, LAND USE, BLOCK, GLOBAL	GMM, LAND USE, BLOCK, GLOBAL	0,276	0,167	45	27	0,625
DMON, ALL, BLOCK, GLOBAL	GMM, ALL, BLOCK, GLOBAL	0,274	0,192	53	20	0,726
DMON, SOCIAL, INDIVIDUAL, GLOBAL	GMM, SOCIAL, INDIVIDUAL, GLOBAL	0,499	0,498	36	40	0,474
DMON, VISUAL, INDIVIDUAL, GLOBAL	GMM, VISUAL, INDIVIDUAL, GLOBAL	0,468	0,288	27	43	0,386
DMON, LAND USE, INDIVIDUAL, GLOBAL	GMM, LAND USE, INDIVIDUAL, GLOBAL	0,420	0,334	32	39	0,451
DMON, ALL, INDIVIDUAL, GLOBAL	GMM, ALL, INDIVIDUAL, GLOBAL	0,494	0,433	31	39	0,443
DMON, SOCIAL, BLOCK, LOCAL	GMM, SOCIAL, BLOCK, LOCAL	0,386	0,405	27	30	0,474
DMON, VISUAL, BLOCK, LOCAL	GMM, VISUAL, BLOCK, LOCAL	0,413	0,223	24	24	0,500
DMON, LAND USE, BLOCK, LOCAL	GMM, LAND USE, BLOCK, LOCAL	0,346	0,317	21	32	0,396
DMON, ALL, BLOCK, LOCAL	GMM, ALL, BLOCK, LOCAL	0,394	0,366	34	23	0,596
DMON, SOCIAL, INDIVIDUAL, LOCAL	GMM, SOCIAL, INDIVIDUAL, LOCAL	0,923	0,912	36	28	0,563
DMON, VISUAL, INDIVIDUAL, LOCAL	GMM, VISUAL, INDIVIDUAL, LOCAL	0,788	0,846	36	25	0,590
DMON, LAND USE, INDIVIDUAL, LOCAL	GMM, LAND USE, INDIVIDUAL, LOCAL	0,874	0,793	38	21	0,644
DMON, ALL, INDIVIDUAL, LOCAL	GMM, ALL, INDIVIDUAL, LOCAL	0,933	0,860	34	17	0,667
				551	482
H3: INDIVIDUAL WINS BLOCKS		C1	C2	N1	N2	Frac. of Pref.
GMM, SOCIAL, INDIVIDUAL, GLOBAL	GMM, SOCIAL, BLOCK, GLOBAL	0,498	0,297	31	19	0,620
DMON, SOCIAL, INDIVIDUAL, GLOBAL	DMON, SOCIAL, BLOCK, GLOBAL	0,499	0,317	27	20	0,574
GMM, VISUAL, INDIVIDUAL, GLOBAL	GMM, VISUAL, BLOCK, GLOBAL	0,288	0,081	34	10	0,773
DMON, VISUAL, INDIVIDUAL, GLOBAL	DMON, VISUAL, BLOCK, GLOBAL	0,468	0,122	34	18	0,654
GMM, LAND USE, INDIVIDUAL, GLOBAL	GMM, LAND USE, BLOCK, GLOBAL	0,334	0,167	25	22	0,532
DMON, LAND USE, INDIVIDUAL, GLOBAL	DMON, LAND USE, BLOCK, GLOBAL	0,420	0,276	18	24	0,429
GMM, ALL, INDIVIDUAL, GLOBAL	GMM, ALL, BLOCK, GLOBAL	0,433	0,192	25	20	0,556
DMON, ALL, INDIVIDUAL, GLOBAL	DMON, ALL, BLOCK, GLOBAL	0,494	0,274	24	27	0,471
GMM, SOCIAL, INDIVIDUAL, LOCAL	GMM, SOCIAL, BLOCK, LOCAL	0,912	0,405	37	23	0,617
DMON, SOCIAL, INDIVIDUAL, LOCAL	DMON, SOCIAL, BLOCK, LOCAL	0,923	0,386	31	25	0,554
GMM, VISUAL, INDIVIDUAL, LOCAL	GMM, VISUAL, BLOCK, LOCAL	0,846	0,223	42	10	0,808
DMON, VISUAL, INDIVIDUAL, LOCAL	DMON, VISUAL, BLOCK, LOCAL	0,788	0,413	47	14	0,770
GMM, LAND USE, INDIVIDUAL, LOCAL	GMM, LAND USE, BLOCK, LOCAL	0,793	0,317	34	17	0,667
DMON, LAND USE, INDIVIDUAL, LOCAL	DMON, LAND USE, BLOCK, LOCAL	0,933	0,346	40	19	0,678
GMM, ALL, INDIVIDUAL, LOCAL	GMM, ALL, BLOCK, LOCAL	0,860	0,366	32	20	0,615
DMON, ALL, INDIVIDUAL, LOCAL	DMON, ALL, BLOCK, LOCAL	0,933	0,394	35	20	0,636
				516	308

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