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We present a message-passing algorithm to solve the edge disjoint path problem (EDP) on graphs incorporating under a unique framework both traffic optimization and path length minimization. The min-sum equations for this problem present an…

Disordered Systems and Neural Networks · Physics 2016-01-21 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Caterina De Bacco , Silvio Franz

Neural fields are receiving increased attention as a geometric representation due to their ability to compactly store detailed and smooth shapes and easily undergo topological changes. Compared to classic geometry representations, however,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Arturs Berzins , Moritz Ibing , Leif Kobbelt

Evolutionary algorithms (EAs) are universal solvers inspired by principles of natural evolution. In many applications, EAs produce astonishingly good solutions. As they are able to deal with complex optimisation problems, they show great…

Neural and Evolutionary Computing · Computer Science 2024-09-25 Jakob Baumann , Ignaz Rutter , Dirk Sudholt

Generating smooth animations from a limited number of sequential observations has a number of applications in vision. For example, it can be used to increase number of frames per second, or generating a new trajectory only based on first…

Computer Vision and Pattern Recognition · Computer Science 2022-05-11 Jurijs Nazarovs , Zhichun Huang

Graph Edit Distance (GED) is a popular similarity measurement for pairwise graphs and it also refers to the recovery of the edit path from the source graph to the target graph. Traditional A* algorithm suffers scalability issues due to its…

Machine Learning · Computer Science 2020-12-03 Runzhong Wang , Tianqi Zhang , Tianshu Yu , Junchi Yan , Xiaokang Yang

Due to the significant computational challenge of training large-scale graph neural networks (GNNs), various sparse learning techniques have been exploited to reduce memory and storage costs. Examples include \textit{graph sparsification}…

Machine Learning · Computer Science 2023-02-07 Shuai Zhang , Meng Wang , Pin-Yu Chen , Sijia Liu , Songtao Lu , Miao Liu

There has been a recent surge in transformer-based architectures for learning on graphs, mainly motivated by attention as an effective learning mechanism and the desire to supersede handcrafted operators characteristic of message passing…

Machine Learning · Computer Science 2025-06-10 David Buterez , Jon Paul Janet , Dino Oglic , Pietro Lio

How do real graphs evolve over time? What are ``normal'' growth patterns in social, technological, and information networks? Many studies have discovered patterns in static graphs, identifying properties in a single snapshot of a large…

Physics and Society · Physics 2007-05-23 Jure Leskovec , Jon Kleinberg , Christos Faloutsos

We introduce a novel masked graph autoencoder (MGAE) framework to perform effective learning on graph structure data. Taking insights from self-supervised learning, we randomly mask a large proportion of edges and try to reconstruct these…

Machine Learning · Computer Science 2022-01-10 Qiaoyu Tan , Ninghao Liu , Xiao Huang , Rui Chen , Soo-Hyun Choi , Xia Hu

The k-planar graphs, which are (usually with small values of k such as 1, 2, 3) subject to recent intense research, admit a drawing in which edges are allowed to cross, but each one edge is allowed to carry at most k crossings. In recently…

Combinatorics · Mathematics 2024-10-02 Petr Hliněný , Lili Ködmön

Predicting metro passenger flow precisely is of great importance for dynamic traffic planning. Deep learning algorithms have been widely applied due to their robust performance in modelling non-linear systems. However, traditional deep…

Machine Learning · Computer Science 2022-11-10 Yuyang Miao , Yao Xu , Danilo Mandic

Domain Adaptation is a technique to address the lack of massive amounts of labeled data in unseen environments. Unsupervised domain adaptation is proposed to adapt a model to new modalities using solely labeled source data and unlabeled…

Computer Vision and Pattern Recognition · Computer Science 2021-11-19 Thong Vo , Naimul Khan

Despite recent advances in geometric modeling, 3D mesh modeling still involves a considerable amount of manual labor by experts. In this paper, we introduce Mesh Draping: a neural method for transferring existing mesh structure from one…

Graphics · Computer Science 2021-10-12 Amir Hertz , Or Perel , Raja Giryes , Olga Sorkine-Hornung , Daniel Cohen-Or

The graph edit distance (GED) is a flexible distance measure which is widely used for inexact graph matching. Since its exact computation is NP-hard, heuristics are used in practice. A popular approach is to obtain upper bounds for GED via…

Data Structures and Algorithms · Computer Science 2021-01-29 David B. Blumenthal , Johann Gamper , Sébastien Bougleux , Luc Brun

We study the NP-hard Minimum Shared Edges (MSE) problem on graphs: decide whether it is possible to route $p$ paths from a start vertex to a target vertex in a given graph while using at most $k$ edges more than once. We show that MSE can…

Computational Complexity · Computer Science 2017-06-08 Till Fluschnik , Meike Hatzel , Steffen Härtlein , Hendrik Molter , Henning Seidler

A significant portion of the data today, e.g, social networks, web connections, etc., can be modeled by graphs. A proper analysis of graphs with Machine Learning (ML) algorithms has the potential to yield far-reaching insights into many…

Social and Information Networks · Computer Science 2020-09-11 Taha Atahan Akyildiz , Amro Alabsi Aljundi , Kamer Kaya

In streamed graph drawing, a planar graph, G, is given incrementally as a data stream and a straight-line drawing of G must be updated after each new edge is released. To preserve the mental map, changes to the drawing should be minimized…

Data Structures and Algorithms · Computer Science 2013-09-02 Michael T. Goodrich , Paweł Pszona

The optical flow estimation has been assessed in various applications. In this paper, we propose a novel method named motion edge structure difference(MESD) to assess estimation errors of optical flow fields on edge of motion objects. We…

Computer Vision and Pattern Recognition · Computer Science 2021-04-14 Bin Liao , Jinlong Hu

Real-time video inference on edge devices like mobile phones and drones is challenging due to the high computation cost of Deep Neural Networks. We present Adaptive Model Streaming (AMS), a new approach to improving performance of efficient…

Machine Learning · Computer Science 2021-04-07 Mehrdad Khani , Pouya Hamadanian , Arash Nasr-Esfahany , Mohammad Alizadeh

Node similarity is a fundamental problem in graph analytics. However, node similarity between nodes in different graphs (inter-graph nodes) has not received a lot of attention yet. The inter-graph node similarity is important in learning a…

Databases · Computer Science 2016-02-17 Haohan Zhu , Xianrui Meng , George Kollios