Can the tutor teach a brand-new student β from question one?
HCIE is an adaptive tutor that needs no training to start. This page is the simple way in; each card below opens a deeper view. The numbers are the honest, consistent Kalman-alone score.
Higher = better (0.50 is a coin flip). HCIE gets no training ; the others are trained first.
HCIE (no training)
0.605
BKT (trained)
0.596
DKT (trained)
0.589
SAKT (trained)
0.573
GKT (trained)
0.571
What this shows: Across the whole course, HCIE comes out ahead of every method that trained first β with zero training of its own.
Whole-course scores = cited matched eval (anchor d2154070, m_K). Cold-start margins + 95% CIs from the n=76 robust matched eval (tier1_evidence.json). The HCIEβBKT whole-course lead (+0.013, 95% CI [+0.002, +0.023]) holds in both.
Tested on 4 real datasets
Junyi0.741leads
ASSISTments0.630leads
CSEDM0.672competitive
EdNet0.575fusion helps here (disclosed)
Calibration fix
miscalibration0.062β0.014
Lower is better. After a post-hoc fix, HCIE is better-calibrated than every baseline β and its scores do not change.
Why it works β measured, not assumed
+0.053durable transfer lift (within-learner)
p < 0.001permutation (K=1000, Nβ1.98M)
β0.00shuffled-DAG placebo
When the knowledge graph is real, mastering a prerequisite measurably lifts the next related skill; when the graph is shuffled (placebo), the lift vanishes β so the effect is the structure, not a coincidence.
Sealed & reproducible: Cited anchor seal-bae44d1a/ run-d2154070 (96,727 rows, content-hash 85690d8bβ¦), m_K matched headline 0.605. Cold-start CIs from the n=76 robust matched eval. A supplementary frozen re-seal ( seal-e7b56a2c, 213,545 rows) is bit-identical on re-run. The deployed tutor serves a 2-learner fusion; the evaluation here reports Kalman-alone (m_K), the strongest single learner.