1995/04/13 by Pierre Collet, P. Collet, Antonio Galves +6
Computer Science · #Blind Source Separation Techniques #Computation and Language (cs.CL) #FOS: Computer and information sciences #Neural Networks and Applications #cmp-lg #cs.CL
paper · pdf · doi:10.48550/arxiv.cmp-lg/9504010
12 pages, ps, gzip, uuencoded
arxiv created 1995/04/13 · openalex publication_date 1995/04/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the Thermodynamic Formalism, we introduce a Gibbsian model for the identification of regular grammars based only on positive evidence. This model mimics the natural language acquisition procedure driven by prosody which is here represented by the thermodynamical potential. The statistical question we face is how to estimate the incidenc e matrix of a subshift of finite type from a sample produced by a Gibbs state whose potential is known. The model acquaints for both the robustness of t he language acquisition procedure and language changes. The probabilistic appr oach we use avoids invoking ad-hoc restrictions as Berwick's Subset Principle.