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We propose a simple approach which combines the strengths of probabilistic graphical models and deep learning architectures for solving the multi-label classification task, focusing specifically on image and video data. First, we show that…

Machine Learning · Computer Science 2023-02-07 Shivvrat Arya , Yu Xiang , Vibhav Gogate

We propose a novel stacked generalization (stacking) method as a dynamic ensemble technique using a pool of heterogeneous classifiers for node label classification on networks. The proposed method assigns component models a set of…

Machine Learning · Statistics 2016-10-18 Zhen Han , Alyson Wilson

Many real-world networks known as attributed networks contain two types of information: topology information and node attributes. It is a challenging task on how to use these two types of information to explore structural regularities. In…

Physics and Society · Physics 2019-01-28 Zhenhai Chang , Caiyan Jia , Xianjun Yin , Yimei Zheng

Rooted bifurcating trees are mathematical objects used to model evolutionary relationships and arise naturally in both coalescent theory and phylogenetics. Recent numerical representations of tree topologies, known as F-matrices, allow for…

Our goal is to infer the topology of a network when (i) we can send probes between sources and receivers at the edge of the network and (ii) intermediate nodes can perform simple network coding operations, i.e., additions. Our key intuition…

Networking and Internet Architecture · Computer Science 2013-02-07 Pegah Sattari , Christina Fragouli , Athina Markopoulou

We propose to formulate multi-label learning as a estimation of class distribution in a non-linear embedding space, where for each label, its positive data embeddings and negative data embeddings distribute compactly to form a positive…

Machine Learning · Computer Science 2020-12-18 Zhuo Yang , Yufei Han , Guoxian Yu , Qiang Yang , Xiangliang Zhang

The classical setting of community detection consists of networks exhibiting a clustered structure. To more accurately model real systems we consider a class of networks (i) whose edges may carry labels and (ii) which may lack a clustered…

Statistics Theory · Mathematics 2014-06-27 Jiaming Xu , Laurent Massoulié , Marc Lelarge

Connected acyclic graphs (trees) are data objects that hierarchically organize categories. Collections of trees arise in a diverse variety of fields, including evolutionary biology, public health, machine learning, social sciences and…

Methodology · Statistics 2025-12-01 Maria Alejandra Valdez Cabrera , Amy D Willis , Armeen Taeb

Graph Neural Networks (GNNs) have achieved great success among various domains. Nevertheless, most GNN methods are sensitive to the quality of graph structures. To tackle this problem, some studies exploit different graph structure learning…

Machine Learning · Computer Science 2021-08-11 Liping Wang , Fenyu Hu , Shu Wu , Liang Wang

Inference of species networks from genomic data under the Network Multispecies Coalescent Model is currently severely limited by heavy computational demands. It also remains unclear how complicated networks can be for consistent inference…

Populations and Evolution · Quantitative Biology 2022-05-10 Elizabeth S. Allman , Hector Baños , Jonathan D. Mitchell , John A. Rhodes

In this paper, we study a regular rooted coloured tree with random labels assigned to its edges, where the distribution of the label assigned to an edge depends on the colours of its endpoints. We obtain some new results relevant to this…

Probability · Mathematics 2011-11-10 Mikhail Menshikov , Dimitri Petritis , Stanislav Volkov

This paper addresses the problem of transferring useful knowledge from a source network to predict node labels in a newly formed target network. While existing transfer learning research has primarily focused on vector-based data, in which…

Machine Learning · Computer Science 2016-11-15 Meng Fang , Jie Yin , Xingquan Zhu

Large tree structures are ubiquitous and real-world relational datasets often have information associated with nodes (e.g., labels or other attributes) and edges (e.g., weights or distances) that need to be communicated to the viewers. Yet,…

Computational Geometry · Computer Science 2023-05-18 Kathryn Gray , Mingwei Li , Reyan Ahmed , Md. Khaledur Rahman , Ariful Azad , Stephen Kobourov , Katy Börner

In reliable decision-making systems based on machine learning, models have to be robust to distributional shifts or provide the uncertainty of their predictions. In node-level problems of graph learning, distributional shifts can be…

Machine Learning · Computer Science 2023-11-02 Gleb Bazhenov , Denis Kuznedelev , Andrey Malinin , Artem Babenko , Liudmila Prokhorenkova

In this work, we study semi-supervised multi-label node classification problem in attributed graphs. Classic solutions to multi-label node classification follow two steps, first learn node embedding and then build a node classifier on the…

Machine Learning · Computer Science 2024-03-14 Uchenna Akujuobi , Han Yufei , Qiannan Zhang , Xiangliang Zhang

In the broader machine learning literature, data-generation methods demonstrate promising results by generating additional informative training examples via augmenting sparse labels. Such methods are less studied in graphs due to the…

Social and Information Networks · Computer Science 2024-09-13 Hang Cui , Tarek Abdelzaher

Algorithms for binary classification based on adaptive tree partitioning are formulated and analyzed for both their risk performance and their friendliness to numerical implementation. The algorithms can be viewed as generating a set…

Statistics Theory · Mathematics 2014-11-05 Peter Binev , Albert Cohen , Wolfgang Dahmen , Ronald DeVore

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

In the node classification task, it is natural to presume that densely connected nodes tend to exhibit similar attributes. Given this, it is crucial to first define what constitutes a dense connection and to develop a reliable mathematical…

Social and Information Networks · Computer Science 2025-01-03 Eunho Koo , Tongseok Lim

Variable-length Markov chains (VLMCs) are a flexible class of higher-order Markov models that admit a natural representation as context trees. Existing Bayesian methods for specifying prior distributions on tree structures rely on branching…

Methodology · Statistics 2026-05-11 Thiago Paulichen , Victor Freguglia