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A method of {\it topological grammars} is proposed for multidimensional data approximation. For data with complex topology we define a {\it principal cubic complex} of low dimension and given complexity that gives the best approximation for…

Neural and Evolutionary Computing · Computer Science 2007-05-23 A. N. Gorban , N. R. Sumner , A. Y. Zinovyev

Recent progress in deep learning and natural language processing has given rise to powerful models that are primarily trained on a cloze-like task and show some evidence of having access to substantial linguistic information, including some…

Computation and Language · Computer Science 2023-09-06 Harish Tayyar Madabushi , Laurence Romain , Petar Milin , Dagmar Divjak

Although Perplexity is a widely used performance metric for language models, the values are highly dependent upon the number of words in the corpus and is useful to compare performance of the same corpus only. In this paper, we propose a…

Computation and Language · Computer Science 2020-11-30 Jihyeon Roh , Sang-Hoon Oh , Soo-Young Lee

Deep learning is widely used to uncover hidden patterns in large code corpora. To achieve this, constructing a format that captures the relevant characteristics and features of source code is essential. Graph-based representations have…

Software Engineering · Computer Science 2024-02-01 Mootez Saad , Tushar Sharma

Recent progress in language modeling has expanded the range of tasks that can be approached through natural language interfaces, including problems that require structured reasoning. However, it remains unclear how effectively…

Machine Learning · Computer Science 2026-04-30 Michal Podstawski

Network or graph structures are ubiquitous in the study of complex systems. Often, we are interested in complexity trends of these system as it evolves under some dynamic. An example might be looking at the complexity of a food web as…

Information Theory · Computer Science 2012-01-23 Russell K. Standish

Compositional generalization is one of the main properties which differentiates lexical learning in humans from state-of-art neural networks. We propose a general framework for building models that can generalize compositionally using the…

Computation and Language · Computer Science 2024-02-05 Mircea Petrache , Shubhendu Trivedi

Various grammar compression algorithms have been proposed in the last decade. A grammar compression is a restricted CFG deriving the string deterministically. An efficient grammar compression develops a smaller CFG by finding duplicated…

Data Structures and Algorithms · Computer Science 2016-09-01 Shouhei Fukunaga , Yoshimasa Takabatake , I Tomohiro , Hiroshi Sakamoto

This paper describes substantial advances in the analysis (parsing) of diagrams using constraint grammars. The addition of set types to the grammar and spatial indexing of the data make it possible to efficiently parse real diagrams of…

cmp-lg · Computer Science 2008-02-03 Robert P. Futrelle , Nikos Nikolakis

Composite minimization is a powerful framework in large-scale convex optimization, based on decoupling of the objective function into terms with structurally different properties and allowing for more flexible algorithmic design. We…

Optimization and Control · Mathematics 2023-02-17 Jelena Diakonikolas , Cristóbal Guzmán

Matrix Graph Grammars (MGG) is a novel approach to the study of graph dynamics ([15]). In the present contribution we look at MGG as a formal grammar and as a model of computation, which is a necessary step in the more ambitious program of…

Discrete Mathematics · Computer Science 2009-11-16 Pedro Pablo Perez Velasco

Recent works in image captioning have shown very promising raw performance. However, we realize that most of these encoder-decoder style networks with attention do not scale naturally to large vocabulary size, making them difficult to be…

Computer Vision and Pattern Recognition · Computer Science 2019-06-13 Jia Huei Tan , Chee Seng Chan , Joon Huang Chuah

A review of Word Embedding Models through a deconstructive approach reveals their several shortcomings and inconsistencies. These include instability of the vector representations, a distorted analogical reasoning, geometric incompatibility…

Computation and Language · Computer Science 2019-02-05 Koushik Varma Kalidindi

How can we compress language models without sacrificing accuracy? The number of compression algorithms for language models is rapidly growing to benefit from remarkable advances of recent language models without side effects due to the…

Computation and Language · Computer Science 2024-01-30 Seungcheol Park , Jaehyeon Choi , Sojin Lee , U Kang

We probe large language models' ability to learn deep form-meaning mappings as defined by construction grammars. We introduce the ConTest-NLI benchmark of 80k sentences covering eight English constructions from highly lexicalized to highly…

Computation and Language · Computer Science 2025-09-23 Tom Mackintosh , Harish Tayyar Madabushi , Claire Bonial

The linguistic abilities of Large Language Models are a matter of ongoing debate. This study contributes to this discussion by investigating model performance in a morphological generalization task that involves novel words. Using a…

Computation and Language · Computer Science 2026-04-02 Nikoleta Pantelidou , Evelina Leivada , Raquel Montero , Paolo Morosi

An enormous amount of real-world data exists in the form of graphs. Oftentimes, interesting patterns that describe the complex dynamics of these graphs are captured in the form of frequently reoccurring substructures. Recent work at the…

Social and Information Networks · Computer Science 2023-01-06 Justus Hibshman , Satyaki Sikdar , Tim Weninger

Extracting dense representations for terms and phrases is a task of great importance for knowledge discovery platforms targeting highly-technical fields. Dense representations are used as features for downstream components and have multiple…

Computation and Language · Computer Science 2023-05-26 Francesco Fusco , Diego Antognini

Large language models have become extremely popular recently due to their ability to achieve strong performance on a variety of tasks, such as text generation and rewriting, but their size and computation cost make them difficult to access,…

Computation and Language · Computer Science 2026-01-08 Anthony Lamelas

Is it possible to specify a grammatical representation (descriptors and their application guidelines) to such a degree that it can be consistently applied by different grammarians e.g. for producing a benchmark corpus for parser evaluation?…

cmp-lg · Computer Science 2016-08-31 Atro Voutilainen , Timo Jarvinen