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Motivated by the large observed diversity in the properties of extra-galacticextinction by dust, we re-analyse the Cepheid calibration used to infer theHubble constant, $H_0$, from Type Ia supernovae, using Cepheid data in 19 TypeIa supernova host galaxies from Riess et al (2016) and anchor data from Riesset al (2016, 2019, 2021). Unlike the SH0ES team, we do not enforce a fixeduniversal color-luminosity relation to correct the Cepheid magnitudes. Instead,we focus on a data driven method, where the optical colors and near infraredmagnitudes of the Cepheids are used to derive individual color-luminosityrelations for each Type Ia supernova host and anchor galaxy. We present twodifferent analyses, one based on Wesenheit magnitudes resulting in $H_0=73.2\pm1.3$ km/s/Mpc, a $4.2\,\sigma$ tension with the value inferred from the cosmicmicrowave background. In the second approach, we calibrate an individualextinction law for each galaxy with non-informative priors using colorexcesses, yielding $H_0=73.9\pm 1.8$ km/s/Mpc, in $3.4\,\sigma$ tension withthe Planck value.  Although the two methods yield similar results, in the latter approach theHubble constant inferred from the individual Cepheid absolute distancecalibrator galaxies range from $H_0=68.1\pm 3.5$ km/s/Mpc to $H_0=76.7\pm 2.0$km/s/Mpc. Taking the correlated nature of $H_0$ inferred from individualanchors into account and allowing for individual extinction laws, the Milky Wayanchor is in $2.1\,\sigma - 3.1\,\sigma$ tension with the NGC 4258 and theLarge Magellanic Cloud anchors, depending on prior assumptions regarding thecolor-luminosity relations and the method used for quantifying the tension.

Sensitivity of the Hubble Constant Determination to Cepheid Calibration