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In this empirical paper, we investigate how learning agents can be arranged in more efficient communication topologies for improved learning. This is an important problem because a common technique to improve speed and robustness of…

Machine Learning · Computer Science 2019-03-05 Dhaval Adjodah , Dan Calacci , Abhimanyu Dubey , Peter Krafft , Esteban Moro , Alex `Sandy' Pentland

We organize a table of regular graphs with minimal diameters and minimal mean path lengths, large bisection widths and high degrees of symmetries, obtained by enumerations on supercomputers. These optimal graphs, many of which are newly…

Discrete Mathematics · Computer Science 2019-12-30 Yidan Zhang , Xiaolong Huang , Zhipeng Xu , Yuefan Deng

Learning a graph topology to reveal the underlying relationship between data entities plays an important role in various machine learning and data analysis tasks. Under the assumption that structured data vary smoothly over a graph, the…

Machine Learning · Statistics 2023-08-23 Xingyue Pu , Tianyue Cao , Xiaoyun Zhang , Xiaowen Dong , Siheng Chen

The distribution of human linguistic groups presents a number of interesting and non-trivial patterns. The distributions of the number of speakers per language and the area each group covers follow log-normal distributions, while population…

Populations and Evolution · Quantitative Biology 2015-12-16 Jose A. Capitan , Susanna Manrubia

This paper presents a novel treebank-driven approach to comparing syntactic structures in speech and writing using dependency-parsed corpora. Adopting a fully inductive, bottom-up method, we define syntactic structures as delexicalized…

Computation and Language · Computer Science 2026-02-24 Kaja Dobrovoljc

While state-of-the-art neural network models continue to achieve lower perplexity scores on language modeling benchmarks, it remains unknown whether optimizing for broad-coverage predictive performance leads to human-like syntactic…

Computation and Language · Computer Science 2020-05-26 Jennifer Hu , Jon Gauthier , Peng Qian , Ethan Wilcox , Roger P. Levy

So far, a very large amount of work in Natural Language Processing (NLP) rely on trees as the core mathematical structure to represent linguistic informations (e.g. in Chomsky's work). However, some linguistic phenomena do not cope properly…

Computation and Language · Computer Science 2013-02-27 Guillaume Bonfante , Bruno Guillaume

The topology of any complex system is key to understanding its structure and function. Fundamentally, algebraic topology guarantees that any system represented by a network can be understood through its closed paths. The length of each path…

Methodology · Statistics 2017-05-17 Pierre-André G. Maugis , Sofia C. Olhede , Patrick J. Wolfe

Networks are widely used to represent interaction pattern among the components in complex systems. Structures of real networks from differ- ent domains may vary quite significantly. Since there is an interplay be- tween network architecture…

Quantitative Methods · Quantitative Biology 2016-05-10 Krishanu Deyasi , Shashankaditya Upadhyay , Anirban Banerjee

The end-to-end TTS, which can predict speech directly from a given sequence of graphemes or phonemes, has shown improved performance over the conventional TTS. However, its predicting capability is still limited by the acoustic/phonetic…

Computation and Language · Computer Science 2019-04-10 Haohan Guo , Frank K. Soong , Lei He , Lei Xie

A fundamental characteristic of computer networks is their topological structure. The question of the description of the structural characteristics of computer networks represents a problem that is not completely solved. Search methods for…

Discrete Mathematics · Computer Science 2024-08-08 Carlos E. Frasser

In this paper we consider the task of conversational semantic parsing over general purpose knowledge graphs (KGs) with millions of entities, and thousands of relation-types. We focus on models which are capable of interactively mapping user…

Computation and Language · Computer Science 2023-12-08 Parag Jain , Mirella Lapata

We investigate some basic questions about the interaction of regular and rational relations on words. The primary motivation comes from the study of logics for querying graph topology, which have recently found numerous applications. Such…

Formal Languages and Automata Theory · Computer Science 2019-03-14 Pablo Barcelo , Diego Figueira , Leonid Libkin

It is often stated that human languages, as other biological systems, are shaped by cost-cutting pressures but, to what extent? Attempts to quantify the degree of optimality of languages by means of an optimality score have been scarce and…

Computation and Language · Computer Science 2022-05-11 Ramon Ferrer-i-Cancho , Carlos Gómez-Rodríguez , Juan Luis Esteban , Lluís Alemany-Puig

Topological statistical theory provides the foundation for a modern mathematical reformulation of classical statistical theory: Structural Statistics emphasizes the structural assumptions that accompany distribution families and the set of…

Statistics Theory · Mathematics 2020-06-23 Patrick Michl

The thesis presents an attempt at using the syntactic structure in natural language for improved language models for speech recognition. The structured language model merges techniques in automatic parsing and language modeling using an…

Computation and Language · Computer Science 2007-05-23 Ciprian Chelba

Large language models show great potential in unstructured data understanding, but still face significant challenges with graphs due to their structural hallucination. Existing approaches mainly either verbalize graphs into natural…

Computation and Language · Computer Science 2026-02-03 Jingyao Wu , Bin Lu , Zijun Di , Xiaoying Gan , Meng Jin , Luoyi Fu , Xinbing Wang , Chenghu Zhou

In this article, we present a fresh perspective on language, combining ideas from various sources, but mixed in a new synthesis. As in the minimalist program, the question is whether we can formulate an elegant formalism, a universal…

Computation and Language · Computer Science 2023-03-10 Loe Feijs

The syntactic structure of a sentence can be represented as a graph, where vertices are words and edges indicate syntactic dependencies between them. In this setting, the distance between two linked words is defined as the difference…

Computation and Language · Computer Science 2025-08-12 Sonia Petrini , Ramon Ferrer-i-Cancho

Interpreting natural language is an increasingly important task in computer algorithms due to the growing availability of unstructured textual data. Natural Language Processing (NLP) applications rely on semantic networks for structured…

Computation and Language · Computer Science 2023-08-21 Gabriel Budel , Ying Jin , Piet Van Mieghem , Maksim Kitsak