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Key to successfully deal with complex contemporary datasets is the development of tractable models that account for the irregular structure of the information at hand. This paper provides a comprehensive and unifying view of several…

Signal Processing · Electrical Eng. & Systems 2021-06-04 David Ramírez , Antonio G. Marques , Santiago Segarra

Graph Neural Networks (GNNs) have emerged as formidable resources for processing graph-based information across diverse applications. While the expressive power of GNNs has traditionally been examined in the context of graph-level tasks,…

Machine Learning · Computer Science 2025-03-12 A. Martina Neuman , Rongrong Wang , Yuying Xie

Convolutional Neural Networks (CNNs) have recently led to incredible breakthroughs on a variety of pattern recognition problems. Banks of finite impulse response filters are learned on a hierarchy of layers, each contributing more abstract…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Felipe Petroski Such , Shagan Sah , Miguel Dominguez , Suhas Pillai , Chao Zhang , Andrew Michael , Nathan Cahill , Raymond Ptucha

This paper proposes a novel binarized weight network (BT) for a resource-efficient neural structure. The proposed model estimates a binary representation of weights by taking into account the approximation error with an additional term.…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Savas Ozkan , Gozde Bozdagi Akar

We propose a graph-based process calculus for modeling and reasoning about wireless networks with local broadcasts. Graphs are used at syntactical level to describe the topological structures of networks. This calculus is equipped with a…

Logic in Computer Science · Computer Science 2017-06-19 Shichao Liu , Ying Jiang

We present our ongoing work on understanding the limitations of graph convolutional networks (GCNs) as well as our work on generalizations of graph convolutions for representing more complex node attribute dependencies. Based on an analysis…

Machine Learning · Computer Science 2018-05-07 Mathias Niepert , Alberto Garcia-Duran

Graph neural networks (GNNs) are a class of neural networks that allow to efficiently perform inference on data that is associated to a graph structure, such as, e.g., citation networks or knowledge graphs. While several variants of GNNs…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Aurelio Uncini

Across scientific disciplines, thresholded pairwise measures of statistical dependence between time series are taken as proxies for the interactions between the dynamical units of a network. Yet such correlation measures often fail to…

Data Analysis, Statistics and Probability · Physics 2018-02-07 Benedict J. Lünsmann , Christoph Kirst , Marc Timme

Graph neural network (GNN) models are increasingly being used for the classification of electroencephalography (EEG) data. However, GNN-based diagnosis of neurological disorders, such as Alzheimer's disease (AD), remains a relatively…

Neurons and Cognition · Quantitative Biology 2023-12-21 Dominik Klepl , Fei He , Min Wu , Daniel J. Blackburn , Ptolemaios G. Sarrigiannis

While concept-based interpretability methods have traditionally focused on local explanations of neural network predictions, we propose a novel framework and interactive tool that extends these methods into the domain of mechanistic…

Machine Learning · Computer Science 2025-07-09 Sofiia Chorna , Kateryna Tarelkina , Eloïse Berthier , Gianni Franchi

Graph Neural Networks (graph NNs) are a promising deep learning approach for analyzing graph-structured data. However, it is known that they do not improve (or sometimes worsen) their predictive performance as we pile up many layers and add…

Machine Learning · Computer Science 2021-01-07 Kenta Oono , Taiji Suzuki

Probabilistic graphical models provide a powerful tool to describe complex statistical structure, with many real-world applications in science and engineering from controlling robotic arms to understanding neuronal computations. A major…

Artificial Intelligence · Computer Science 2023-05-04 Yicheng Fei , Xaq Pitkow

Graph neural networks (GNNs) are a powerful architecture for tackling graph learning tasks, yet have been shown to be oblivious to eminent substructures such as cycles. We present TOGL, a novel layer that incorporates global topological…

Machine Learning · Computer Science 2022-03-18 Max Horn , Edward De Brouwer , Michael Moor , Yves Moreau , Bastian Rieck , Karsten Borgwardt

Graph prediction problems prevail in data analysis and machine learning. The inverse prediction problem, namely to infer input data from given output labels, is of emerging interest in various applications. In this work, we develop…

Machine Learning · Statistics 2022-11-22 Chen Xu , Xiuyuan Cheng , Yao Xie

The analysis of networks characterized by links with heterogeneous intensity or weight suffers from two long-standing problems of arbitrariness. On one hand, the definitions of topological properties introduced for binary graphs can be…

Data Analysis, Statistics and Probability · Physics 2014-04-28 Diego Garlaschelli , Sebastian E. Ahnert , Thomas M. A. Fink , Guido Caldarelli

Given graphs as input, Graph Neural Networks (GNNs) support the inference of nodes, edges, attributes, or graph properties. Graph Rewriting investigates the rule-based manipulation of graphs to model complex graph transformations. We…

Machine Learning · Computer Science 2023-05-31 Adam Machowczyk , Reiko Heckel

Recent works have impressively demonstrated that there exists a subnetwork in randomly initialized convolutional neural networks (CNNs) that can match the performance of the fully trained dense networks at initialization, without any…

Graph neural networks (GNN) have shown outstanding applications in many fields where data is fundamentally represented as graphs (e.g., chemistry, biology, recommendation systems). In this vein, communication networks comprise many…

Understanding the complex and stochastic nature of Gene Regulatory Networks (GRNs) remains a central challenge in systems biology. Existing modeling paradigms often struggle to effectively capture the intricate, multi-factor regulatory…

Molecular Networks · Quantitative Biology 2025-08-20 Yiyang Jia , Zheng Wei , Zheng Yang , Guohong Peng

This paper studies the structural controllability of a class of uncertain switched linear systems, where the parameters of subsystems state matrices are either unknown or zero. The structural controllability is a generalization of the…

Systems and Control · Computer Science 2013-08-27 Xiaomeng Liu , Hai Lin , Ben M. Chen