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Summarization is a widespread method for handling very large graphs. The task of structural graph summarization is to compute a concise but meaningful synopsis of the key structural information of a graph. As summaries may be used for many…

Databases · Computer Science 2021-01-05 Till Blume , David Richerby , Ansgar Scherp

We present algorithms and experiments for the visualization of directed graphs that focus on displaying their reachability information. Our algorithms are based on the concepts of the path and channel decomposition as proposed in the…

Data Structures and Algorithms · Computer Science 2019-07-29 Panagiotis Lionakis , Giacomo Ortali , Ioannis G. Tollis

Epistemic graphs are a generalization of the epistemic approach to probabilistic argumentation. Hunter proposed a 2-way generalization framework to learn epistemic constraints from crowd-sourcing data. However, the learnt epistemic…

Artificial Intelligence · Computer Science 2023-06-08 Xiao Chi

Data sketches are approximate succinct summaries of long streams. They are widely used for processing massive amounts of data and answering statistical queries about it in real-time. Existing libraries producing sketches are very fast, but…

Data Structures and Algorithms · Computer Science 2019-12-06 Arik Rinberg , Alexander Spiegelman , Edward Bortnikov , Eshcar Hillel , Idit Keidar , Lee Rhodes , Hadar Serviansky

Despite the celebrated popularity of Graph Neural Networks (GNNs) across numerous applications, the ability of GNNs to generalize remains less explored. In this work, we propose to study the generalization of GNNs through a novel…

Machine Learning · Computer Science 2024-04-17 Shouheng Li , Dongwoo Kim , Qing Wang

Multivariate graphs are prolific across many fields, including transportation and neuroscience. A key task in graph analysis is the exploration of connectivity, to, for example, analyze how signals flow through neurons, or to explore how…

We propose different methods for alternative representation and visual augmentation of sheet music that help users gain an overview of general structure, repeating patterns, and the similarity of segments. To this end, we explored mapping…

Human-Computer Interaction · Computer Science 2023-08-14 Frank Heyen , Quynh Quang Ngo , Michael Sedlmair

We take a geometrical viewpoint and present a unifying view on supervised deep learning with the Bregman divergence loss function - this entails frequent classification and prediction tasks. Motivated by simulations we suggest that there is…

Machine Learning · Computer Science 2021-07-07 Petr Taborsky , Lars Kai Hansen

Finding coarse representations of large graphs is an important computational problem in the fields of scientific computing, large scale graph partitioning, and the reduction of geometric meshes. Of particular interest in all of these fields…

Discrete Mathematics · Computer Science 2022-04-26 Christopher Brissette , Andy Huang , George Slota

With the abundance of data and information in todays time, it is nearly impossible for man, or, even machine, to go through all of the data line by line. What one usually does is to try to skim through the lines and retain the absolutely…

Computation and Language · Computer Science 2024-02-09 Imaad Zaffar Khan , Amaan Aijaz Sheikh , Utkarsh Sinha

Cartograms depict geographic regions with areas proportional to quantitative data. However, when created using density-equalizing map projections, cartograms may exhibit invalid topologies if boundary polygons are drawn using only a finite…

Computational Geometry · Computer Science 2026-01-21 Nihal Z. Miaji , Adi Singhania , Matthias E. Goh , Callista Le , Atima Tharatipyakul , Michael T. Gastner

Which one is better between two representative graph summarization models with and without edge weights? From web graphs to online social networks, large graphs are everywhere. Graph summarization, which is an effective graph compression…

Databases · Computer Science 2022-05-09 Shinhwan Kang , Kyuhan Lee , Kijung Shin

We investigate graph representation learning approaches that enable models to generalize across graphs: given a model trained using the representations from one graph, our goal is to apply inference using those same model parameters when…

Machine Learning · Computer Science 2023-02-20 Anton Amirov , Chris Quirk , Jennifer Neville

We shall investigate randomized algorithms for solving large-scale linear inverse problems with general regularizations. We first present some techniques to transform inverse problems of general form into the ones of standard form, then…

Numerical Analysis · Mathematics 2014-12-30 Hua Xiang , Jun Zou

In document classification, graph-based models effectively capture document structure, overcoming sequence length limitations and enhancing contextual understanding. However, most existing graph document representations rely on heuristics,…

Computation and Language · Computer Science 2025-08-05 Margarita Bugueño , Gerard de Melo

This paper studies the problem of embedding very large information networks into low-dimensional vector spaces, which is useful in many tasks such as visualization, node classification, and link prediction. Most existing graph embedding…

Machine Learning · Computer Science 2015-03-13 Jian Tang , Meng Qu , Mingzhe Wang , Ming Zhang , Jun Yan , Qiaozhu Mei

Combining the techniques of approximation algorithms and parameterized complexity has long been considered a promising research area, but relatively few results are currently known. In this paper we study the parameterized approximability…

Data Structures and Algorithms · Computer Science 2014-02-18 Michael Lampis

Motivated by interpretability and reliability, we investigate whether large language models (LLMs) deploy universal geometric structures to encode discrete, graph-structured knowledge. To this end, we present two complementary experimental…

Machine Learning · Computer Science 2025-11-25 David D. Baek , Yuxiao Li , Max Tegmark

Can one reduce the size of a graph without significantly altering its basic properties? The graph reduction problem is hereby approached from the perspective of restricted spectral approximation, a modification of the spectral similarity…

Data Structures and Algorithms · Computer Science 2019-01-01 Andreas Loukas

Large Language Models (LLMs) face significant limitations when applied to large-scale graphs, struggling with context constraints and inflexible reasoning. We present GraphChain, a framework that enables LLMs to analyze complex graphs…

Artificial Intelligence · Computer Science 2025-11-11 Chunyu Wei , Wenji Hu , Xingjia Hao , Xin Wang , Yifan Yang , Yueguo Chen , Yang Tian , Yunhai Wang