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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

Graph embedding is becoming an important method with applications in various areas, including social networks and knowledge graph completion. In particular, Poincar\'e embedding has been proposed to capture the hierarchical structure of…

人工智能 · 计算机科学 2022-05-11 Daisuke Takehara , Kei Kobayashi

Existing auto-regressive mesh generation approaches suffer from ineffective topology preservation, which is crucial for practical applications. This limitation stems from previous mesh tokenization methods treating meshes as simple…

计算机视觉与模式识别 · 计算机科学 2026-03-03 Gaochao Song , Zibo Zhao , Haohan Weng , Jingbo Zeng , Rongfei Jia , Shenghua Gao

This work is concerned with a representation of shapes that disentangles fine, local and possibly repeating geometry, from global, coarse structures. Achieving such disentanglement leads to two unrelated advantages: i) a significant…

计算机视觉与模式识别 · 计算机科学 2022-04-06 Luca Morreale , Noam Aigerman , Paul Guerrero , Vladimir G. Kim , Niloy J. Mitra

In this study we want to connect our previously proposed context-relevant topographical maps with the deep learning community. Our architecture is a classifier with hidden layers that are hierarchical two-dimensional topographical maps.…

神经与进化计算 · 计算机科学 2015-04-06 Thomas Trappenberg , Paul Hollensen , Pitoyo Hartono

Graph embeddings have emerged as a powerful tool for representing complex network structures in a low-dimensional space, enabling the use of efficient methods that employ the metric structure in the embedding space as a proxy for the…

社会与信息网络 · 计算机科学 2024-04-18 Radosław Nowak , Adam Małkowski , Daniel Cieślak , Piotr Sokół , Paweł Wawrzyński

We consider the task of topology discovery of sparse random graphs using end-to-end random measurements (e.g., delay) between a subset of nodes, referred to as the participants. The rest of the nodes are hidden, and do not provide any…

社会与信息网络 · 计算机科学 2012-03-06 Animashree Anandkumar , Avinatan Hassidim , Jonathan Kelner

Graph databases have been the subject of significant research and development. Problems such as modularity, centrality, alignment, and clustering have been formalized and solved in various application contexts. In this paper, we focus on…

社会与信息网络 · 计算机科学 2019-08-09 Vikram Ravindra , Huda Nassar , David F. Gleich , Ananth Grama

The fundamental idea of embedding a network in a metric space is rooted in the principle of proximity preservation. Nodes are mapped into points of the space with pairwise distance that reflects their proximity in the network. Popular…

物理与社会 · 物理学 2021-01-15 Yi-Jiao Zhang , Kai-Cheng Yang , Filippo Radicchi

Node embedding is the task of extracting concise and informative representations of certain entities that are connected in a network. Various real-world networks include information about both node connectivity and certain node attributes,…

社会与信息网络 · 计算机科学 2022-02-24 Charilaos I. Kanatsoulis , Nicholas D. Sidiropoulos

Scene graphs enhance 3D mapping capabilities in robotics by understanding the relationships between different spatial elements, such as rooms and objects. Recent research extends scene graphs to hierarchical layers, adding and leveraging…

机器人学 · 计算机科学 2025-10-20 Jeewon Kim , Minho Oh , Hyun Myung

This paper is concerned with nearest neighbor search in distributional semantic models. A normal nearest neighbor search only returns a ranked list of neighbors, with no information about the structure or topology of the local neighborhood.…

计算与语言 · 计算机科学 2015-01-13 Amaru Cuba Gyllensten , Magnus Sahlgren

In this paper we approach two relevant deep learning topics: i) tackling of graph structured input data and ii) a better understanding and analysis of deep networks and related learning algorithms. With this in mind we focus on the…

无序系统与神经网络 · 物理学 2018-02-13 Zohar Ringel , Rodrigo de Bem

Accurate delineation of fine-scale structures is a very important yet challenging problem. Existing methods use topological information as an additional training loss, but are ultimately making pixel-wise predictions. In this paper, we…

图像与视频处理 · 电气工程与系统科学 2022-10-04 Xiaoling Hu , Dimitris Samaras , Chao Chen

Graph Neural Networks usually rely on the assumption that the graph topology is available to the network as well as optimal for the downstream task. Latent graph inference allows models to dynamically learn the intrinsic graph structure of…

机器学习 · 计算机科学 2023-06-28 Haitz Sáez de Ocáriz Borde , Anees Kazi , Federico Barbero , Pietro Liò

The statistical mechanical approach to complex networks is the dominant paradigm in describing natural and societal complex systems. The study of network properties, and their implications on dynamical processes, mostly focus on locally…

统计力学 · 物理学 2013-06-27 Giovanni Petri , Martina Scolamiero , Irene Donato , Francesco Vaccarino

A graph theoretic approach is proposed for object shape representation in a hierarchical compositional architecture called Compositional Hierarchy of Parts (CHOP). In the proposed approach, vocabulary learning is performed using a hybrid…

计算机视觉与模式识别 · 计算机科学 2015-01-26 Umit Rusen Aktas , Mete Ozay , Ales Leonardis , Jeremy L. Wyatt

Node-link diagrams are a popular method for representing graphs that capture relationships between individuals, businesses, proteins, and telecommunication endpoints. However, node-link diagrams may fail to convey insights regarding graph…

社会与信息网络 · 计算机科学 2023-09-20 Paul Rosen , Mustafa Hajij , Bei Wang

This paper studies the problem of polygonal mapping of buildings by tackling the issue of mask reversibility that leads to a notable performance gap between the predicted masks and polygons from the learning-based methods. We addressed such…

计算机视觉与模式识别 · 计算机科学 2022-08-02 Bowen Xu , Jiakun Xu , Nan Xue , Gui-Song Xia

Architectures for sparse hierarchical representation learning have recently been proposed for graph-structured data, but so far assume the absence of edge features in the graph. We close this gap and propose a method to pool graphs with…