New DALM framework uses algebraic structures to prevent knowledge interference in large language models across different domains.

DALM (Domain-Algebraic Language Model) replaces standard token generation with structured denoising over a domain lattice to reduce cross-domain interference

Three-phase generation process resolves domain uncertainty first, then relation uncertainty, then concept uncertainty with explicit algebraic constraints at each stage

Framework requires three components: a domain lattice with computable operations, a typing function for relations, and a fiber partition to isolate domain-specific knowledge

Architecture prevents cross-domain contamination by confining generation to domain-specific fibers, addressing a key limitation of traditional large language models