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We present a non-parametric reconstruction of the rotation curves (RC) for 88spiral galaxies under the LOESS+SIMEX technique. In order to compare methods wealso perform the parametric approach assuming core and cuspy dark matter (DM)profiles: PISO, NFW, Burkert, Spano, the soliton and two fuzzy soliton$+$NFW.As result of this two approaches, a comparison of the RC obtained is carriedout by computing the distance between central curves and the distance between1$\sigma$ error bands. Furthermore, we perform a model selection according totwo statistical criteria, the BIC and the value of $\chi^2_{red}$. We work withtwo groups. The first one is a comparison between PISO, NFW, Spano and Burkertshowing that Spano is the most favored model satisfying our selection criteria.For the second group we select soliton, NFW and Fuzzy models, resulting thesoliton as the best model. Moreover according to the statistical tools andnon-parametric reconstruction we are able to classify galaxies as core or cusp.Finally, using an MCMC method, we compute for each of the DM models thecharacteristic surface density, $\mu_{DM}=\rho_s r_s$, and the mass within 300pc. We found that there is a common mass for spiral galaxies of the order of$10^7$ M$_\odot$, which is in agreement with results for dSph Milky Waysatellites, independent of the model. This result is also consistent with ourfinding that there is a constant characteristic volume density of haloes.Finally, we also find that $\mu_{DM}$ is not constant, which is in tension withprevious literature.

Galaxy rotation curves using a non-parametric regression method: core, cusp and fuzzy scalar field dark matter models