methods / Causal Validation / ProFS (Projection Filter for Subspaces) weight-subspace projection
ProFS (Projection Filter for Subspaces) weight-subspace projection
Extracts a low-rank concept subspace from contrastive-pair embedding differences (after removing the corpus-mean direction), selects its rank via ScreeNot, and projects it out of a weight matrix once, offline — a factor-analysis-grounded, sample-efficient, noise-robust alternative to gradient-based preference-tuning (DPO) that edits weights directly rather than activations at inference time.