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We build interpretable and lightweight transformer-like neural networks by unrolling iterative optimization algorithms that minimize graph smoothness priors -- the quadratic graph Laplacian regularizer (GLR) and the $\ell_1$-norm graph…

Machine Learning · Computer Science 2024-11-07 Tam Thuc Do , Parham Eftekhar , Seyed Alireza Hosseini , Gene Cheung , Philip Chou

Graph neural networks have achieved great success in learning node representations for graph tasks such as node classification and link prediction. Graph representation learning requires graph pooling to obtain graph representations from…

Machine Learning · Computer Science 2020-07-22 Zhengyang Wang , Shuiwang Ji

Graph neural networks process information on graphs represented at a given resolution scale. We analyze the effect of using different coarse-grained graph resolutions, obtained through the Laplacian renormalization group theory, on node…

Machine Learning · Computer Science 2025-04-15 Francesco Caso , Giovanni Trappolini , Andrea Bacciu , Pietro Liò , Fabrizio Silvestri

With the increase of data in day-to-day life, businesses and different stakeholders need to analyze the data for better predictions. Traditionally, relational data has been a source of various insights, but with the increase in…

Machine Learning · Computer Science 2024-10-01 Anuj Kumar Sirohi , Subhanu Halder , Kabir Kumar , Sandeep Kumar

Synergistic drug combinations provide huge potentials to enhance therapeutic efficacy and to reduce adverse reactions. However, effective and synergistic drug combination prediction remains an open question because of the unknown causal…

Quantitative Methods · Quantitative Biology 2023-08-24 Zehao Dong , Heming Zhang , Yixin Chen , Philip R. O. Payne , Fuhai Li

We introduce BN-Pool, the first clustering-based pooling method for Graph Neural Networks that adaptively determines the number of supernodes in a coarsened graph. BN-Pool leverages a generative model based on a Bayesian nonparametric…

Machine Learning · Computer Science 2026-04-02 Daniele Castellana , Filippo Maria Bianchi

Learning from graph-structured data is an important task in machine learning and artificial intelligence, for which Graph Neural Networks (GNNs) have shown great promise. Motivated by recent advances in geometric representation learning, we…

Machine Learning · Computer Science 2019-10-30 Qi Liu , Maximilian Nickel , Douwe Kiela

Partitioning is a known problem in computer science and is critical in chip design workflows, as advancements in this area can significantly influence design quality and efficiency. Deep Learning (DL) techniques, particularly those…

Hardware Architecture · Computer Science 2024-09-04 Muhammad Hadir Khan , Bugra Onal , Eren Dogan , Matthew R. Guthaus

Graph convolutional neural networks (GCNNs) have been widely used in graph learning. It has been observed that the smoothness functional on graphs can be defined in terms of the graph Laplacian. This fact points out in the direction of…

Machine Learning · Computer Science 2020-09-30 Asif Salim , Sumitra S

In this paper we propose a pooling approach for convolutional information processing on graphs relying on the theory of graphons and limits of dense graph sequences. We present three methods that exploit the induced graphon representation…

Machine Learning · Computer Science 2023-08-24 Alejandro Parada-Mayorga , Zhiyang Wang , Alejandro Ribeiro

Graph neural networks (GNNs) extends the functionality of traditional neural networks to graph-structured data. Similar to CNNs, an optimized design of graph convolution and pooling is key to success. Borrowing ideas from physics, we…

Machine Learning · Computer Science 2022-01-12 Zheng Ma , Junyu Xuan , Yu Guang Wang , Ming Li , Pietro Lio

Model Parsing defines the research task of predicting hyperparameters of the generative model (GM), given a generated image as input. Since a diverse set of hyperparameters is jointly employed by the generative model, and dependencies often…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Xiao Guo , Vishal Asnani , Sijia Liu , Xiaoming Liu

While message passing Graph Neural Networks (GNNs) have become increasingly popular architectures for learning with graphs, recent works have revealed important shortcomings in their expressive power. In response, several higher-order GNNs…

Machine Learning · Computer Science 2025-02-28 Behrooz Tahmasebi , Derek Lim , Stefanie Jegelka

Graph Representation Learning (GRL) has become essential for modern graph data mining and learning tasks. GRL aims to capture the graph's structural information and exploit it in combination with node and edge attributes to compute…

Machine Learning · Computer Science 2021-09-08 Marinos Poiitis , Pavlos Sermpezis , Athena Vakali

Graph Neural Networks achieve state-of-the-art performance on a plethora of graph classification tasks, especially due to pooling operators, which aggregate learned node embeddings hierarchically into a final graph representation. However,…

Machine Learning · Computer Science 2022-09-09 Alexandre Duval , Fragkiskos Malliaros

We tackle the network topology inference problem by utilizing Laplacian constrained Gaussian graphical models, which recast the task as estimating a precision matrix in the form of a graph Laplacian. Recent research \cite{ying2020nonconvex}…

Machine Learning · Computer Science 2023-09-06 Jiaxi Ying , Xi Han , Rui Zhou , Xiwen Wang , Hing Cheung So

Learning a graph with a specific structure is essential for interpretability and identification of the relationships among data. It is well known that structured graph learning from observed samples is an NP-hard combinatorial problem. In…

Machine Learning · Statistics 2019-09-26 Sandeep Kumar , Jiaxi Ying , Jos'e Vin'icius de M. Cardoso , Daniel P. Palomar

Subgraph representation learning based on Graph Neural Network (GNN) has exhibited broad applications in scientific advancements, such as predictions of molecular structure-property relationships and collective cellular function. In…

Machine Learning · Computer Science 2022-10-17 Yili Shen , Xiao Liu , Cheng-Wei Ju , Jiaxu Yan , Jun Yi , Zhou Lin , Hui Guan

Graph-based representations play a key role in machine learning. The fundamental step in these representations is the association of a graph structure to a dataset. In this paper, we propose a method that aims at finding a block sparse…

Signal Processing · Electrical Eng. & Systems 2019-03-27 Stefania Sardellitti , Sergio Barbarossa , Paolo Di Lorenzo

Graph signal processing (GSP) is a prominent framework for analyzing signals on non-Euclidean domains. The graph Fourier transform (GFT) uses the combinatorial graph Laplacian matrix to reveal the spectral decomposition of signals in the…

Machine Learning · Computer Science 2024-06-13 Changhao Shi , Gal Mishne
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