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Final model

Analysis Master 21-07-2026

The model the thesis ends with (Section 5.1.8). It has 12 parameters, uses α = 2.4297 and a search distance (R_buffer) of 10 m.

\[V_t = w_{1,t} f_\text{distribution} + w_{2,t} f_\text{distance} + w_3 f_\text{directional} + w_{4,t}\,share_t + w_5\,\sigma + w_6\,(f_\text{distribution}\times share_\text{type})\]

A small \(t\) means the weight is different for each place type (building, street, open space). No \(t\) means one weight shared by all types.

How well it fits. The most important line is CV accuracy: on data it did not learn from, the model picks the correct type for 71.6% of stays.

LL(0) / LL(C) / LL(b) -1.0799 / -0.9362 / -0.6557
ρ² vs LL(0) / LL(C) 0.393 / 0.300
Accuracy (in-sample) 0.721
CV accuracy (grouped, 5-fold) 0.716 ± 0.076
CV building / street / open space 0.896 / 0.429 / 0.491
Condition number 1,373

The weights. w is the learned weight: positive raises the probability, negative lowers it. t shows how clearly the weight differs from zero (about 2 or more is significant). VIF shows overlap with other inputs (above 10 is the usual warning line; see Multicollinearity is structural).

Term w t VIF
f_distribution, bldg +1.253 2.19 5.62
f_distribution, street +0.913 1.57 5.37
f_distribution, os +5.277 8.10 3.61
f_distance, bldg -2.102 -2.04 9.37
f_distance, street -2.293 -2.51 21.42
f_distance, os -6.554 -6.14 13.05
f_directional +0.980 3.12 10.28
share, bldg -3.152 -4.64 7.90
share, street -8.088 -9.57 11.95
share, os -5.873 -4.17 10.13
sigma +0.778 5.89 3.14
f_distribution × share_type +5.779 5.66 9.81

How the model was built: Model progression. Overlap between inputs: Final model correlation matrix. Where it makes mistakes: Confusion matrix. It also holds up without thinning the data: Raw-density refit.

Part of Calibration.