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A robot's ability to understand or ground natural language instructions is fundamentally tied to its knowledge about the surrounding world. We present an approach to grounding natural language utterances in the context of factual…

Robotics · Computer Science 2018-11-19 Rohan Paul , Andrei Barbu , Sue Felshin , Boris Katz , Nicholas Roy

Real-world networks often benefit from capturing both local and global interactions. Inspired by multi-modal analysis in brain imaging, where structural and functional connectivity offer complementary views of network organization, we…

Neural and Evolutionary Computing · Computer Science 2025-08-11 Yang Li , Luopeiwen Yi , Tananun Songdechakraiwut

Measuring robustness is a fundamental task for analyzing the structure of complex networks. Indeed, several approaches to capture the robustness properties of a network have been proposed. In this paper we focus on spectral graph theory…

Combinatorics · Mathematics 2020-11-18 Gian Paolo Clemente , Alessandra Cornaro

Hypergraphs are structures that can be decomposed or described; in other words they are recursively countable. Here, we get exact and asymptotic enumeration results on hypergraphs by means of exponential generating functions. The number of…

Discrete Mathematics · Computer Science 2008-06-20 Tsiriniaina Andriamampianina

The exploitation of graph structures is the key to effectively learning representations of nodes that preserve useful information in graphs. A remarkable property of graph is that a latent hierarchical grouping of nodes exists in a global…

Artificial Intelligence · Computer Science 2021-11-02 Lu Lin , Ethan Blaser , Hongning Wang

Graph neural networks (GNNs) have shown advantages in graph-based analysis tasks. However, most existing methods have the homogeneity assumption and show poor performance on heterophilic graphs, where the linked nodes have dissimilar…

Machine Learning · Computer Science 2024-04-16 Tianhao Peng , Wenjun Wu , Haitao Yuan , Zhifeng Bao , Zhao Pengrui , Xin Yu , Xuetao Lin , Yu Liang , Yanjun Pu

In the regime of two-sample comparison, tests based on a graph constructed on observations by utilizing similarity information among them is gaining attention due to their flexibility and good performances for high-dimensional/non-Euclidean…

Methodology · Statistics 2019-02-13 Jingru Zhang , Hao Chen

Collecting statistic from graph-based data is an increasingly studied topic in the data mining community. We argue that these statistics have great value as well in dynamic IoT contexts: they can support complex computational activities…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-07 Giorgio Audrito , Ferruccio Damiani , Mirko Viroli

We introduce proof terms for string rewrite systems and, using these, show that various notions of equivalence on reductions known from the literature can be viewed as different perspectives on the notion of causal equivalence. In…

Logic in Computer Science · Computer Science 2023-03-29 Vincent van Oostrom

Graph-based frames have been introduced as a logical framework which internalizes an inherent boundary to knowability. They also support the interpretation of lattice-based (modal) logics as hyper-constructive logics of evidential…

Graphical models use graphs to represent conditional independence structure in the distribution of a random vector. In stochastic processes, graphs may represent so-called local independence or conditional Granger causality. Under some…

Methodology · Statistics 2023-10-24 Søren Wengel Mogensen

Local observation is an important problem both for the foundations of a quantum theory of gravity and for applications to quantum-cosmological problems such as eternal inflation. While gauge invariant local observables can't be defined, it…

High Energy Physics - Theory · Physics 2008-11-26 Michael Gary , Steven B. Giddings

In this paper, we first study hypergraph rewriting in categorical terms in an attempt to define the notion of events and develop foundations of causality in graph rewriting. We introduce novel concepts within the framework of double-pushout…

Discrete Mathematics · Computer Science 2024-11-05 Utkarsh Bajaj

Representation learning for graphs enables the application of standard machine learning algorithms and data analysis tools to graph data. Replacing discrete unordered objects such as graph nodes by real-valued vectors is at the heart of…

Machine Learning · Computer Science 2021-02-10 Konstantin Kutzkov

Evaluating the quality of reasoning traces from large language models remains understudied, labor-intensive, and unreliable: current practice relies on expert rubrics, manual annotation, and slow pairwise judgments. Automated efforts are…

Artificial Intelligence · Computer Science 2026-05-28 Xue Wen Tan , Nathaniel Tan , Galen Lee , Stanley Kok

The convolution operation suffers from a limited receptive filed, while global modeling is fundamental to dense prediction tasks, such as semantic segmentation. In this paper, we apply graph convolution into the semantic segmentation task…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Xia Li , Yibo Yang , Qijie Zhao , Tiancheng Shen , Zhouchen Lin , Hong Liu

We propose high-order hypergraph walks as a framework to generalize graph-based network science techniques to hypergraphs. Edge incidence in hypergraphs is quantitative, yielding hypergraph walks with both length and width. Graph methods…

Physics and Society · Physics 2020-06-09 Sinan G. Aksoy , Cliff Joslyn , Carlos Ortiz Marrero , Brenda Praggastis , Emilie Purvine

We present a simple iterative strategy for measuring the connection strength between a pair of vertices in a graph. The method is attractive in that it has a linear complexity and can be easily parallelized. Based on an analysis of the…

Discrete Mathematics · Computer Science 2009-09-24 Jie Chen , Ilya Safro

Visual question answering is concerned with answering free-form questions about an image. Since it requires a deep linguistic understanding of the question and the ability to associate it with various objects that are present in the image,…

Machine Learning · Computer Science 2020-07-03 Marcel Hildebrandt , Hang Li , Rajat Koner , Volker Tresp , Stephan Günnemann

This paper proposes a data-driven method to automatically construct graph-based document representations. Building upon the recent work of Bugue\~no and de Melo (2025), we leverage the dynamic sliding-window attention module to effectively…

Computation and Language · Computer Science 2026-03-03 Ruangrin Ldallitsakool , Margarita Bugueño , Gerard de Melo