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Pattern matching on graphs has been widely studied lately due to its importance in genomics applications. Unfortunately, even the simplest problem of deciding if a string appears as a subpath of a graph admits a quadratic lower bound under…

Data Structures and Algorithms · Computer Science 2023-07-04 Nicola Rizzo , Veli Mäkinen

We study the problem of matching a string in a labeled graph. Previous research has shown that unless the Orthogonal Vectors Hypothesis (OVH) is false, one cannot solve this problem in strongly sub-quadratic time, nor index the graph in…

Data Structures and Algorithms · Computer Science 2022-06-14 Massimo Equi , Tuukka Norri , Jarno Alanko , Bastien Cazaux , Alexandru I. Tomescu , Veli Mäkinen

Electroencephalography (EEG) signals provide critical insights for applications in disease diagnosis and healthcare. However, the scarcity of labeled EEG data poses a significant challenge. Foundation models offer a promising solution by…

Machine Learning · Computer Science 2025-02-25 Limin Wang , Toyotaro Suzumura , Hiroki Kanezashi

Understanding and explaining the predictions of Graph Neural Networks (GNNs), is crucial for enhancing their safety and trustworthiness. Subgraph-level explanations are gaining attention for their intuitive appeal. However, most existing…

Machine Learning · Computer Science 2024-05-17 Shengyao Lu , Bang Liu , Keith G. Mills , Jiao He , Di Niu

Exact pattern matching in labeled graphs is the problem of searching paths of a graph $G=(V,E)$ that spell the same string as the given pattern $P[1..m]$. This basic problem can be found at the heart of more complex operations on variation…

Computational Complexity · Computer Science 2019-02-12 Massimo Equi , Roberto Grossi , Alexandru I. Tomescu , Veli Mäkinen

Exact pattern matching in labeled graphs is the problem of searching paths of a graph $G=(V,E)$ that spell the same string as the pattern $P[1..m]$. This basic problem can be found at the heart of more complex operations on variation graphs…

Computational Complexity · Computer Science 2020-06-04 Massimo Equi , Roberto Grossi , Veli Mäkinen

We initiate the study on fault-tolerant spanners in hypergraphs and develop fast algorithms for their constructions. A fault-tolerant (FT) spanner preserves approximate distances under network failures, often used in applications like…

Data Structures and Algorithms · Computer Science 2026-03-10 Jialin He , Nicholas Popescu , Chunjiang Zhu

We introduce a compact pangenome representation based on an optimal segmentation concept that aims to reconstruct founder sequences from a multiple sequence alignment (MSA). Such founder sequences have the feature that each row of the MSA…

Data Structures and Algorithms · Computer Science 2020-05-20 Veli Mäkinen , Bastien Cazaux , Massimo Equi , Tuukka Norri , Alexandru I. Tomescu

Developing models that can learn to reason is a notoriously challenging problem. We focus on reasoning in relational domains, where the use of Graph Neural Networks (GNNs) seems like a natural choice. However, previous work has shown that…

Artificial Intelligence · Computer Science 2025-03-03 Irtaza Khalid , Steven Schockaert

We propose polynomial-time algorithms that sparsify planar and bounded-genus graphs while preserving optimal or near-optimal solutions to Steiner problems. Our main contribution is a polynomial-time algorithm that, given an unweighted graph…

Data Structures and Algorithms · Computer Science 2017-07-12 Marcin Pilipczuk , Michał Pilipczuk , Piotr Sankowski , Erik Jan van Leeuwen

Missing data imputation (MDI) is crucial when dealing with tabular datasets across various domains. Autoencoders can be trained to reconstruct missing values, and graph autoencoders (GAE) can additionally consider similar patterns in the…

Machine Learning · Computer Science 2022-10-20 Lev Telyatnikov , Simone Scardapane

Graph neural networks (GNNs) excel in graph representation learning by integrating graph structure and node features. Existing GNNs, unfortunately, fail to account for the uncertainty of class probabilities that vary with the depth of the…

Machine Learning · Computer Science 2025-06-17 Qingfeng Chen , Shiyuan Li , Yixin Liu , Shirui Pan , Geoffrey I. Webb , Shichao Zhang

Node features and structural information of a graph are both crucial for semi-supervised node classification problems. A variety of graph neural network (GNN) based approaches have been proposed to tackle these problems, which typically…

Machine Learning · Computer Science 2021-07-29 Yu Wang , Yuesong Shen , Daniel Cremers

Message-passing neural networks (MPNNs) are the leading architecture for deep learning on graph-structured data, in large part due to their simplicity and scalability. Unfortunately, it was shown that these architectures are limited in…

In Spectrum cartography (SC), the generation of exposure maps for radio frequency electromagnetic fields (RF-EMF) spans dimensions of frequency, space, and time, which relies on a sparse collection of sensor data, posing a challenging…

Machine Learning · Computer Science 2025-04-08 Mohammed Mallik , Davy P. Gaillot , Laurent Clavier

In this paper we revisit the classical Edge Disjoint Paths (EDP) problem, where one is given an undirected graph G and a set of terminal pairs P and asks whether G contains a set of pairwise edge-disjoint paths connecting every terminal…

Data Structures and Algorithms · Computer Science 2017-11-07 Robert Ganian , Sebastian Ordyniak , M. S. Ramanujan

Efficient and accurate path-sensitive analyses pose the challenges of: (a) analyzing an exponentially-increasing number of paths in a control-flow graph (CFG), and (b) checking feasibility of paths in a CFG. We address these challenges by…

Software Engineering · Computer Science 2015-03-10 Ahmed Tamrawi , Suresh Kothari

The signature is a canonical representation of a multidimensional path over an interval. However, it treats all historical information uniformly, offering no intrinsic mechanism for contextualising the relevance of the past. To address…

Machine Learning · Statistics 2026-03-20 Alexandre Bloch , Samuel N. Cohen , Terry Lyons , Joël Mouterde , Benjamin Walker

Learning efficient graph representation is the key to favorably addressing downstream tasks on graphs, such as node or graph property prediction. Given the non-Euclidean structural property of graphs, preserving the original graph data's…

Machine Learning · Computer Science 2022-05-31 Bingxin Zhou , Xuebin Zheng , Yu Guang Wang , Ming Li , Junbin Gao

Entity alignment is crucial for merging knowledge across knowledge graphs, as it matches entities with identical semantics. The standard method matches these entities based on their embedding similarities using semi-supervised learning.…

Computation and Language · Computer Science 2024-10-29 Wei Ai , Yinghui Gao , Jianbin Li , Jiayi Du , Tao Meng , Yuntao Shou , Keqin Li
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