no code implementations • 29 Feb 2024 • Sabrina Drammis, Bowen Zheng, Karthik Srinivasan, Robert C. Berwick, Nancy A. Lynch, Robert Ajemian
Our work has three main contributions: (1) we present a novel algorithm framework and parallel algorithms for region enumeration; (2) we implement one of our algorithms on a variety of network architectures and experimentally show how the number of regions dictates runtime; and (3) we show, using our algorithm's output, how the dimension of a region's affine transformation impacts further partitioning of the region by deeper layers.
no code implementations • 10 Nov 2023 • Matilde Marcolli, Robert C. Berwick, Noam Chomsky
We extend our formulation of Merge and Minimalism in terms of Hopf algebras to an algebraic model of a syntactic-semantic interface.
no code implementations • 17 Jun 2023 • Matilde Marcolli, Robert C. Berwick, Noam Chomsky
In this paper we compare some old formulations of Minimalism, in particular Stabler's computational minimalism, and Chomsky's new formulation of Merge and Minimalism, from the point of view of their mathematical description in terms of Hopf algebras.
no code implementations • Joint Conference on Lexical and Computational Semantics 2021 • Sagar Indurkhya, Beracah Yankama, Robert C. Berwick
We analyzed the distribution of compchains in three UD English treebanks, EWT, GUM and LinES, revealing that these treebanks are sparse with respect to sentences with predicate-argument structure that includes predicate-argument embedding.
no code implementations • 14 Jun 2019 • Samuel A. Korsky, Robert C. Berwick
Recent neural network architectures such as the basic recurrent neural network (RNN) and Gated Recurrent Unit (GRU) have gained prominence as end-to-end learning architectures for natural language processing tasks.
no code implementations • WS 2018 • Luzi Sennhauser, Robert C. Berwick
On the other hand, we also observe that the model does not generalize well.
no code implementations • 26 Mar 2018 • Andrew Ortegaray, Robert C. Berwick, Matilde Marcolli
We compute clustering coefficients and their variance.