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Graphical models capture relations between entities in a wide range of applications including social networks, biology, and natural language processing, among others. Graph neural networks (GNN) are neural models that operate over graphs,…

Machine Learning · Computer Science 2024-02-08 Xu Zheng , Farhad Shirani , Tianchun Wang , Shouwei Gao , Wenqian Dong , Wei Cheng , Dongsheng Luo

We perform a massive evaluation of neural networks with architectures corresponding to random graphs of various types. We investigate various structural and numerical properties of the graphs in relation to neural network test accuracy. We…

Machine Learning · Computer Science 2020-12-03 Romuald A. Janik , Aleksandra Nowak

Consider a collection of random variables attached to the vertices of a graph. The reconstruction problem requires to estimate one of them given `far away' observations. Several theoretical results (and simple algorithms) are available when…

Probability · Mathematics 2007-09-10 Antoine Gerschenfeld , Andrea Montanari

Recent large language models have been trained on vast datasets, but also often on repeated data, either intentionally for the purpose of upweighting higher quality data, or unintentionally because data deduplication is not perfect and the…

Traditional studies of memory for meaningful narratives focus on specific stories and their semantic structures but do not address common quantitative features of recall across different narratives. We introduce a statistical ensemble of…

Statistical Mechanics · Physics 2025-02-25 Weishun Zhong , Tankut Can , Antonis Georgiou , Ilya Shnayderman , Mikhail Katkov , Misha Tsodyks

In recent years many algorithms have been developed for finding patterns in graphs and networks. A disadvantage of these algorithms is that they use subgraph isomorphism to determine the support of a graph pattern; subgraph isomorphism is a…

Data Structures and Algorithms · Computer Science 2015-03-19 Anton Dries , Siegfried Nijssen

We study the compressed representation of a ranked tree by a (string) straight-line program (SLP) for its preorder traversal, and compare it with the well-studied representation by straight-line context free tree grammars (which are also…

Formal Languages and Automata Theory · Computer Science 2015-09-29 Moses Ganardi , Danny Hucke , Markus Lohrey , Eric Noeth

A wide variety of transition-based algorithms are currently used for dependency parsers. Empirical studies have shown that performance varies across different treebanks in such a way that one algorithm outperforms another on one treebank…

Computation and Language · Computer Science 2020-04-01 Mark Anderson , Carlos Gómez-Rodríguez

In many modern applications, including analysis of gene expression and text documents, the data are noisy, high-dimensional, and unordered--with no particular meaning to the given order of the variables. Yet, successful learning is often…

Methodology · Statistics 2008-07-25 Ann B. Lee , Boaz Nadler , Larry Wasserman

We present graph-based translation models which translate source graphs into target strings. Source graphs are constructed from dependency trees with extra links so that non-syntactic phrases are connected. Inspired by phrase-based models,…

Computation and Language · Computer Science 2021-03-23 Liangyou Li , Andy Way , Qun Liu

Reliable evaluation protocols are of utmost importance for reproducible NLP research. In this work, we show that sometimes neither metric nor conventional human evaluation is sufficient to draw conclusions about system performance. Using…

Computation and Language · Computer Science 2021-01-25 Yevgeniy Puzikov

Probabilistic inferences distill knowledge from graphs to aid human make important decisions. Due to the inherent uncertainty in the model and the complexity of the knowledge, it is desirable to help the end-users understand the inference…

Social and Information Networks · Computer Science 2019-08-21 Chao Chen , Yifei Liu , Xi Zhang , Sihong Xie

We introduce a novel dependency parser, the hexatagger, that constructs dependency trees by tagging the words in a sentence with elements from a finite set of possible tags. In contrast to many approaches to dependency parsing, our approach…

Computation and Language · Computer Science 2023-08-01 Afra Amini , Tianyu Liu , Ryan Cotterell

A learning algorithm is presented which given the structure of a causal tree, will estimate its link probabilities by sequential measurements on the leaves only. Internal nodes of the tree represent conceptual (hidden) variables…

Artificial Intelligence · Computer Science 2013-04-12 Igor Roizer , Judea Pearl

Linear regression is a frequently used tool in statistics, however, its validity and interpretability relies on strong model assumptions. While robust estimates of the coefficients' covariance extend the validity of hypothesis tests and…

Methodology · Statistics 2015-04-23 Werner Brannath , Martin Scharpenberg

We prime-encode the natural numbers via recursive factorisation, iterated to the exponents, generating a corpus of planar rooted trees equivalently represented as Dyck words. This forms a deterministic text endowed with internal rules.…

Mathematical Physics · Physics 2025-12-02 Pierluigi Contucci , Claudio Giberti , Godwin Osabutey , Cecilia Vernia

While large language models (LLMs) improve performance by explicit reasoning, their responses are often overconfident, even though they include linguistic expressions demonstrating uncertainty. In this work, we identify what linguistic…

Computation and Language · Computer Science 2026-04-08 Shintaro Ozaki , Wataru Hashimoto , Hidetaka Kamigaito , Katsuhiko Hayashi , Taro Watanabe

Neural NLP systems achieve high scores in the presence of sizable training dataset. Lack of such datasets leads to poor system performances in the case low-resource languages. We present two simple text augmentation techniques using…

Computation and Language · Computer Science 2019-03-25 Gözde Gül Şahin , Mark Steedman

Paraphrase generation is an interesting and challenging NLP task which has numerous practical applications. In this paper, we analyze datasets commonly used for paraphrase generation research, and show that simply parroting input sentences…

Computation and Language · Computer Science 2019-08-22 Hongren Mao , Hung-yi Lee

I start by reviewing some basic properties of random graphs. I then consider the role of random walks in complex networks and show how they may be used to explain why so many long tailed distributions are found in real data sets. The key…

Statistical Mechanics · Physics 2012-12-11 T. S. Evans
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