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Many tasks in graph machine learning, such as link prediction and node classification, are typically solved by using representation learning, in which each node or edge in the network is encoded via an embedding. Though there exists a lot…

Dynamical systems are found in innumerable forms across the physical and biological sciences, yet all these systems fall naturally into universal equivalence classes: conservative or dissipative, stable or unstable, compressible or…

Machine Learning · Computer Science 2023-02-28 Matthew Ricci , Noa Moriel , Zoe Piran , Mor Nitzan

A network provides powerful means of representing complex relationships between entities by abstracting entities as vertices, and relationships as edges connecting vertices in a graph. Beyond the presence or absence of relationships, a…

Social and Information Networks · Computer Science 2020-01-15 Isuru Udayangani Hewapathirana

In this chapter, we utilize dynamical systems to analyze several aspects of machine learning algorithms. As an expository contribution we demonstrate how to re-formulate a wide variety of challenges from deep neural networks, (stochastic)…

Dynamical Systems · Mathematics 2025-07-08 Dennis Chemnitz , Maximilian Engel , Christian Kuehn , Sara-Viola Kuntz

Recent methods for self-supervised learning can be grouped into two paradigms: contrastive and non-contrastive approaches. Their success can largely be attributed to data augmentation pipelines which generate multiple views of a single…

Machine Learning · Computer Science 2022-02-08 William Falcon , Ananya Harsh Jha , Teddy Koker , Kyunghyun Cho

Networks evolve continuously over time with the addition, deletion, and changing of links and nodes. Such temporal networks (or edge streams) consist of a sequence of timestamped edges and are seemingly ubiquitous. Despite the importance of…

Machine Learning · Computer Science 2020-07-20 John Boaz Lee , Giang Nguyen , Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim

Many real world networks are very large and constantly change over time. These dynamic networks exist in various domains such as social networks, traffic networks and biological interactions. To handle large dynamic networks in downstream…

Machine Learning · Computer Science 2019-11-06 Shima Khoshraftar , Sedigheh Mahdavi , Aijun An , Yonggang Hu , Junfeng Liu

Recent advances in the field of network embedding have shown that low-dimensional network representation is playing a critical role in network analysis. Most existing network embedding methods encode the local proximity of a node, such as…

Social and Information Networks · Computer Science 2019-06-11 Junliang Guo , Linli Xu , Jingchang Liu

Network alignment, in general, seeks to discover the hidden underlying correspondence between nodes across two (or more) networks when given their network structure. However, most existing network alignment methods have added assumptions of…

Social and Information Networks · Computer Science 2019-02-28 Tyler Derr , Hamid Karimi , Xiaorui Liu , Jiejun Xu , Jiliang Tang

Diffusion models have demonstrated remarkable capabilities in synthesizing realistic images, spurring interest in using their representations for various downstream tasks. To better understand the robustness of these representations, we…

Computer Vision and Pattern Recognition · Computer Science 2025-04-10 Jonas Loos , Lorenz Linhardt

Deep neural networks have become widely used, obtaining remarkable results in domains such as computer vision, speech recognition, natural language processing, audio recognition, social network filtering, machine translation, and…

Neural and Evolutionary Computing · Computer Science 2020-02-03 Divya Gopinath , Guy Katz , Corina S. Pasareanu , Clark Barrett

Attributed network embedding aims to learn low-dimensional vector representations for nodes in a network, where each node contains rich attributes/features describing node content. Because network topology structure and node attributes…

Social and Information Networks · Computer Science 2018-10-17 Daokun Zhang , Jie Yin , Xingquan Zhu , Chengqi Zhang

In this work we develop a novel Bayesian neural network methodology to achieve strong adversarial robustness without the need for online adversarial training. Unlike previous efforts in this direction, we do not rely solely on the…

Machine Learning · Computer Science 2020-03-25 Christopher M. Bender , Yang Li , Yifeng Shi , Michael K. Reiter , Junier B. Oliva

Network representation learning in low dimensional vector space has attracted considerable attention in both academic and industrial domains. Most real-world networks are dynamic with addition/deletion of nodes and edges. The existing graph…

Machine Learning · Computer Science 2019-02-07 Sedigheh Mahdavi , Shima Khoshraftar , Aijun An

Node embedding is the task of extracting informative and descriptive features over the nodes of a graph. The importance of node embeddings for graph analytics, as well as learning tasks such as node classification, link prediction and…

Machine Learning · Computer Science 2019-06-17 Dimitris Berberidis , Georgios B. Giannakis

Deep convolutional networks often append additive constant ("bias") terms to their convolution operations, enabling a richer repertoire of functional mappings. Biases are also used to facilitate training, by subtracting mean response over…

Image and Video Processing · Electrical Eng. & Systems 2020-02-11 Sreyas Mohan , Zahra Kadkhodaie , Eero P. Simoncelli , Carlos Fernandez-Granda

Neural Ordinary Differential Equations (NODEs), a framework of continuous-depth neural networks, have been widely applied, showing exceptional efficacy in coping with representative datasets. Recently, an augmented framework has been…

Machine Learning · Computer Science 2023-04-12 Qunxi Zhu , Yao Guo , Wei Lin

We construct and investigate Boolean networks that follow a given reliable trajectory in state space, which is insensitive to fluctuations in the updating schedule, and which is also robust against noise. Robustness is quantified as the…

Biological Physics · Physics 2010-12-02 Christoph Schmal , Tiago P. Peixoto , Barbara Drossel

This paper presents Dense Siamese Network (DenseSiam), a simple unsupervised learning framework for dense prediction tasks. It learns visual representations by maximizing the similarity between two views of one image with two types of…

Computer Vision and Pattern Recognition · Computer Science 2022-08-11 Wenwei Zhang , Jiangmiao Pang , Kai Chen , Chen Change Loy

Since many real world networks are evolving over time, such as social networks and user-item networks, there are increasing research efforts on dynamic network embedding in recent years. They learn node representations from a sequence of…

Social and Information Networks · Computer Science 2021-03-30 Guotong Xue , Ming Zhong , Jianxin Li , Jia Chen , Chengshuai Zhai , Ruochen Kong