Instructor: Matilde Marcolli

(Alexander Calder, "Four Red Systems", 1960)

- What is Linguistics?
- What is Linguistics? Part II
- What is Linguistics? Part III
- Language Change or Evolution?
- Phylogenetic Algebraic Geometry and Syntax
- Spin Glass Model of Syntactic Parameters
- Towards a Geometry of Syntax
- Persistent Topology of Syntax
- Formal Languages: Part I
- Formal Languages: Part II
- Parse trees: from formal to natural languages
- Probabilistic Linguistics
- Graph Grammars
- Minimalism and Merge Grammars
- Language and Complexity
- Natural Language Processing
- Semantic Spaces
- Models of Language Acquisition
- Models of Language Acquisition: Part II
- Language Acquisition: Parameter Setting
- Models of Language Evolution
- Models of Language Evolution: Part II
- Models of Language Evolution: Part III
- Symbolic and Statistical Approaches to Language
- Topological Analysis of Syntactic Structures

- pdf Noam Chomsky, "Three models for the description of Language"
- pdf C.E.Shannon, "Prediction and Entropy of Printed English"
- pdf D.Link, "Traces of the Mouth: Andrei Andreyevich Markov's mathematization of writing"
- pdf R.C.Berwick, "Mind the Gap"
- pdf Partha Niyogi, Robert C. Berwick, "A dynamical systems model for language change"
- pdf L.Pacher, B.Sturmfels, "The Mathematics of Phylogenomics"
- pdf G. Longobardi, C. Guardiano, G. Silvestri, A. Boattini, A. Ceolin, "Towards a syntactic phylogeny of modern Indo-European languages"
- pdf G. Longobardi, C. Guardiano, "Evidence for syntax as a signal of historical relatedness"
- pdf K.Ehret, B.Szmrecsanyi, "An information-theoretic approach to assess linguistic complexity"
- pdf M.Bane, "Quantifying and measuring Morphological Complexity"
- pdf A.Kaltchenko, "Algorithms for estimating information distance with applications to bioinformatics and linguistics"
- pdf M.Belkin, P.Niyogi, "Towards a theoretical foundation for Laplacian-based manifold methods"
- pdf P.Breiding, S.Kalisnik, B.Sturmfels, M.Weinstein, "Learning algebraic varieties from samples"
- pdf A.Auffinger, A.Lerario, E.Lundberg, "Topologies of random geometric complexes on Riemannian manifolds in the thermodynamic limit"
- pdf R.Clark, "Kolmogorov complexity and the information content of parameters"
- pdf A.K.Zvonkin, L.A.Levin, "The complexity of finite objects and the development of the concepts of information and randomness by means of the theory of algorithms"
- pdf R.Sproat, M.Yarmohammadi, I.Shafran, B.Roark, "Lexicographic Semirings"
- pdf E.P.Stabler, "Computational perspectives on minimalism"
- pdf T.Hunter, C.Dyer, "Distributions on Minimalist Grammar Derivations"
- pdf P.beim Graben, S.Gerth, "Geometric representations for minimalist grammars"
- pdf S.Giraudo, J.G.Luque, L.Mignot, F.Nicart, "Operads, quasiorders and regular languages"
- pdf T.Ceccherini-Silberstein, W.Woess, "Growth and Ergodicity of Context-free Languages"
- pdf J.Shallit, "Number Theory and Formal Languages"
- pdf Eibe Frank, "Formal Languages and Automata", Chapter 6
- pdf L.Sennhauser, R.C.Berwick, "Evaluating the Ability of LSTMs to Learn Context-Free Grammars"

- Tuesday April 2 (class time)
- Laurestine Bradford, "Applications of Lexicographic Semirings to Problems in Speech and Language Processing"
- Gal Gross, "Algebraic languages and polyominoes enumeration"
- Amjad Mobayed, "Traces of The Mouth: Andrei Anderyevich Markov's Mathematization of Writing"

- Tuesday April 9 (class time)
- Shuyang Shen, "Number theory and formal languages"
- Sitanshu Gakkhar, "Computational neurolinguistics"
- David Ledvinka, "Monad Transformers for Natural Language: Combining Monads to Model Effect Interaction"
- Feodor Kogan, "Operads and formal grammar"

- Wednesday April 10 (class time)
- Suleiman Motasem, "Arabic computational linguistics"
- Jesse Frolich and Andrew Wilson, "toki pun-a: a computational approach to jokes (i.e. syntactic ambiguity)"