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The complexity and non-Euclidean structure of graph data hinder the development of data augmentation methods similar to those in computer vision. In this paper, we propose a feature augmentation method for graph nodes based on topological…

Machine Learning · Computer Science 2021-04-07 Rui Song , Fausto Giunchiglia , Ke Zhao , Hao Xu

We propose PLLay, a novel topological layer for general deep learning models based on persistence landscapes, in which we can efficiently exploit the underlying topological features of the input data structure. In this work, we show…

Machine Learning · Computer Science 2021-01-19 Kwangho Kim , Jisu Kim , Manzil Zaheer , Joon Sik Kim , Frederic Chazal , Larry Wasserman

We propose a general modeling and inference framework that composes probabilistic graphical models with deep learning methods and combines their respective strengths. Our model family augments graphical structure in latent variables with…

Machine Learning · Statistics 2017-07-10 Matthew J. Johnson , David Duvenaud , Alexander B. Wiltschko , Sandeep R. Datta , Ryan P. Adams

The inference of topological principles is a key problem in structured reconstruction. We observe that wrongly predicted topological relationships are often incurred by the lack of holistic geometry clues in low-level features. Inspired by…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Ziqiong Lu , Linxi Huan , Qiyuan Ma , Xianwei Zheng

While deep learning has achieved great success in many fields, one common criticism about deep learning is its lack of interpretability. In most cases, the hidden units in a deep neural network do not have a clear semantic meaning or…

Genomics · Quantitative Biology 2019-06-04 Tianle Ma , Aidong Zhang

Feature selection (FS) plays an important role in machine learning, which extracts important features and accelerates the learning process. In this paper, we propose a deep FS method that simultaneously conducts feature selection and…

Machine Learning · Computer Science 2023-11-10 Lei Xu , Lei Chen , Rong Wang , Feiping Nie , Xuelong Li

Many real-world problems can be represented as graph-based learning problems. In this paper, we propose a novel framework for learning spatial and attentional convolution neural networks on arbitrary graphs. Different from previous…

Machine Learning · Computer Science 2019-02-26 Hao Peng , Jianxin Li , Qiran Gong , Senzhang Wang , Yuanxing Ning , Philip S. Yu

In many scenarios, especially biomedical applications, the correct delineation of complex fine-scaled structures such as neurons, tissues, and vessels is critical for downstream analysis. Despite the strong predictive power of deep learning…

Computer Vision and Pattern Recognition · Computer Science 2024-03-25 Xiaoling Hu

Graph structure learning is a core problem in graph-based machine learning, essential for uncovering latent relationships and ensuring model interpretability. However, most existing approaches are ill-suited for large-scale and dynamically…

Machine Learning · Computer Science 2025-05-20 Mohit Kataria , Nikita Malik , Sandeep Kumar , Jayadeva

Phylogenetic networks are a generalization of phylogenetic trees that are used to represent non-tree-like evolutionary histories that arise in organisms such as plants and bacteria, or uncertainty in evolutionary histories. An…

Populations and Evolution · Quantitative Biology 2017-12-08 Andrew Francis , Katharina Huber , Vincent Moulton

We propose a method for gene expression based analysis of cancer phenotypes incorporating network biology knowledge through unsupervised construction of computational graphs. The structural construction of the computational graphs is driven…

Molecular Networks · Quantitative Biology 2020-10-02 Paul Scherer , Maja Trȩbacz , Nikola Simidjievski , Zohreh Shams , Helena Andres Terre , Pietro Liò , Mateja Jamnik

Inspired by the immense success of deep learning, graph neural networks (GNNs) are widely used to learn powerful node representations and have demonstrated promising performance on different graph learning tasks. However, most real-world…

Machine Learning · Computer Science 2020-01-24 Kaize Ding , Yichuan Li , Jundong Li , Chenghao Liu , Huan Liu

Link prediction is an important learning task for graph-structured data. In this paper, we propose a novel topological approach to characterize interactions between two nodes. Our topological feature, based on the extended persistent…

Machine Learning · Computer Science 2021-06-15 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Chao Chen

Data-efficient image classification is a challenging task that aims to solve image classification using small training data. Neural network-based deep learning methods are effective for image classification, but they typically require…

Neural and Evolutionary Computing · Computer Science 2022-12-05 Ying Bi , Bing Xue , Mengjie Zhang

Motivation: The abundance of gene flow in the Tree of Life challenges the notion that evolution can be represented with a fully bifurcating process, as this process cannot capture important biological realities like hybridization,…

Populations and Evolution · Quantitative Biology 2023-11-10 Zhaoxing Wu , Claudia Solis-Lemus

We propose a novel tree classification system called Treelogy, that fuses deep representations with hand-crafted features obtained from leaf images to perform leaf-based plant classification. Key to this system are segmentation of the leaf…

Computer Vision and Pattern Recognition · Computer Science 2017-01-31 İlke Çuğu , Eren Şener , Çağrı Erciyes , Burak Balcı , Emre Akın , Itır Önal , Ahmet Oğuz Akyüz

Graphs (networks) are ubiquitous and allow us to model entities (nodes) and the dependencies (edges) between them. Learning a useful feature representation from graph data lies at the heart and success of many machine learning tasks such as…

We introduce new methods for phylogenetic tree quartet construction by using machine learning to optimize the power of phylogenetic invariants. Phylogenetic invariants are polynomials in the joint probabilities which vanish under a model of…

Populations and Evolution · Quantitative Biology 2007-05-23 Nicholas Eriksson , Yuan Yao

We study the problem of embedding edgeless nodes such as users who newly enter the underlying network, while using graph neural networks (GNNs) widely studied for effective representation learning of graphs. Our study is motivated by the…

Social and Information Networks · Computer Science 2022-11-01 Yong-Min Shin , Cong Tran , Won-Yong Shin , Xin Cao

In phylogenetics, evolution is traditionally represented in a tree-like manner. However, phylogenetic networks can be more appropriate for representing evolutionary events such as hybridization, horizontal gene transfer, and others. In…

Data Structures and Algorithms · Computer Science 2024-10-18 Manuel Lafond , Vincent Moulton