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High-dimensional sparse data emerge in many critical application domains such as healthcare and cybersecurity. To extract meaningful insights from massive volumes of these multi-dimensional data, scientists employ unsupervised analysis…

We propose a combination of a variational autoencoder and a transformer based model which fully utilises graph convolutional and graph pooling layers to operate directly on graphs. The transformer model implements a novel node encoding…

机器学习 · 计算机科学 2021-04-12 Joshua Mitton , Hans M. Senn , Klaas Wynne , Roderick Murray-Smith

We study homomorphism polynomials, which are polynomials that enumerate all homomorphisms from a pattern graph $H$ to $n$-vertex graphs. These polynomials have received a lot of attention recently for their crucial role in several new…

计算复杂性 · 计算机科学 2020-11-17 Balagopal Komarath , Anurag Pandey , C. S. Rahul

The local inductive bias of message-passing graph neural networks (GNNs) hampers their ability to exploit key structural information (e.g., connectivity and cycles). Positional encoding (PE) and Persistent Homology (PH) have emerged as two…

机器学习 · 计算机科学 2025-06-09 Yogesh Verma , Amauri H. Souza , Vikas Garg

Graph-based representations underlie a wide range of scientific problems. Graph connectivity is typically represented as a sparse matrix in the Compressed Sparse Row format. Large-scale graphs rely on distributed storage, allocating…

分布式、并行与集群计算 · 计算机科学 2020-12-14 Bruno Magalhaes , Felix Schürmann

In this paper, we propose an L1 normalized graph based dimensionality reduction method for Hyperspectral images, called as L1-Scaling Cut (L1-SC). The underlying idea of this method is to generate the optimal projection matrix by retaining…

计算机视觉与模式识别 · 计算机科学 2017-09-12 Ramanarayan Mohanty , S L Happy , Aurobinda Routray

Graph Neural Networks (GNN) have emerged as a popular and standard approach for learning from graph-structured data. The literature on GNN highlights the potential of this evolving research area and its widespread adoption in real-life…

机器学习 · 计算机科学 2024-03-25 Sukhdeep Singh , Anuj Sharma , Vinod Kumar Chauhan

While a growing body of literature has been studying new Graph Neural Networks (GNNs) that work on both homophilic and heterophilic graphs, little has been done on adapting classical GNNs to less-homophilic graphs. Although the ability to…

机器学习 · 计算机科学 2024-04-30 Shouheng Li , Dongwoo Kim , Qing Wang

Probabilistic atlases (PAs) have long been used in standard segmentation approaches and, more recently, in conjunction with Convolutional Neural Networks (CNNs). However, their use has been restricted to relatively standardized structures…

计算机视觉与模式识别 · 计算机科学 2019-09-19 Udaranga Wickramasinghe , Graham Knott , Pascal Fua

Various Graph Neural Networks (GNNs) have been successful in analyzing data in non-Euclidean spaces, however, they have limitations such as oversmoothing, i.e., information becomes excessively averaged as the number of hidden layers…

机器学习 · 计算机科学 2024-01-23 Jaeyoon Sim , Sooyeon Jeon , InJun Choi , Guorong Wu , Won Hwa Kim

Graph neural networks (GNN) extends deep learning to graph-structure dataset. Similar to Convolutional Neural Networks (CNN) using on image prediction, convolutional and pooling layers are the foundation to success for GNN on graph…

机器学习 · 计算机科学 2023-02-28 Lingjie Kong , Yun Liao

Multimodal alignment of histopathology encoders with transcriptomic and genomic data has been shown to significantly improve performance in downstream diagnostic tasks. Hematological cytology is unique in that visual single-cell evaluation…

计算机视觉与模式识别 · 计算机科学 2026-05-29 Muhammed Furkan Dasdelen , Fatih Ozlugedik , Ilaria Looser , Rao Muhammad Umer , Christian Pohlkamp , Carsten Marr

Graph Neural Networks (GNNs) draw their strength from explicitly modeling the topological information of structured data. However, existing GNNs suffer from limited capability in capturing the hierarchical graph representation which plays…

机器学习 · 计算机科学 2021-03-30 Jinyu Yang , Peilin Zhao , Yu Rong , Chaochao Yan , Chunyuan Li , Hehuan Ma , Junzhou Huang

Graph embeddings play a critical role in graph representation learning, allowing machine learning models to explore and interpret graph-structured data. However, existing methods often rely on opaque, high-dimensional embeddings, limiting…

机器学习 · 计算机科学 2025-11-26 Astrit Tola , Funmilola Mary Taiwo , Cuneyt Gurcan Akcora , Baris Coskunuzer

Mapper, a topological algorithm, is frequently used as an exploratory tool to build a graphical representation of data. This representation can help to gain a better understanding of the intrinsic shape of high-dimensional genomic data and…

基因组学 · 定量生物学 2023-07-19 Erik J. Amézquita , Farzana Nasrin , Kathleen M. Storey , Masato Yoshizawa

Graph model is emerging as a very effective tool for learning the complex structures and relationships hidden in data. Generally, the critical purpose of graph-oriented learning algorithms is to construct an informative graph for image…

计算机视觉与模式识别 · 计算机科学 2016-12-21 Qingshan Liu , Yubao Sun , Cantian Wang , Tongliang Liu , Dacheng Tao

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…

机器学习 · 计算机科学 2025-04-15 Francesco Caso , Giovanni Trappolini , Andrea Bacciu , Pietro Liò , Fabrizio Silvestri

Graph-based multi-view clustering has achieved better performance than most non-graph approaches. However, in many real-world scenarios, the graph structure of data is not given or the quality of initial graph is poor. Additionally,…

机器学习 · 计算机科学 2022-09-23 Erlin Pan , Zhao Kang

Archetypes are typical population representatives in an extremal sense, where typicality is understood as the most extreme manifestation of a trait or feature. In linear feature space, archetypes approximate the data convex hull allowing…

计算机视觉与模式识别 · 计算机科学 2020-02-04 Sebastian Mathias Keller , Maxim Samarin , Fabricio Arend Torres , Mario Wieser , Volker Roth

Recent years have seen a rapid expansion of the model space explored in statistical phylogenetics, emphasizing the need for new approaches to statistical model representation and software development. Clear communication and representation…