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Clustering of high-dimensional data sets is a growing need in artificial intelligence, machine learning and pattern recognition. In this paper, we propose a new clustering method based on a combinatorial-topological approach applied to…

Machine Learning · Computer Science 2025-03-12 Mauricio Toledo-Acosta , Luis Ángel Ramos-García , Jorge Hermosillo-Valadez

An embedding is a mapping from a set of nodes of a network into a real vector space. Embeddings can have various aims like capturing the underlying graph topology and structure, node-to-node relationship, or other relevant information about…

Machine Learning · Computer Science 2023-06-21 Ashkan Dehghan , Kinga Siuta , Agata Skorupka , Andrei Betlen , David Miller , Bogumil Kaminski , Pawel Pralat

In recent years, networks with higher-order interactions have emerged as a powerful tool to model complex systems. Comparing these higher-order systems remains however a challenge. Traditional similarity measures designed for pairwise…

Physics and Society · Physics 2026-02-24 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

Network representation learning has aroused widespread interests in recent years. While most of the existing methods deal with edges as pairwise relationships, only a few studies have been proposed for hyper-networks to capture more…

Social and Information Networks · Computer Science 2019-10-23 Jie Huang , Xin Liu , Yangqiu Song

Autoencoding is a popular method in representation learning. Conventional autoencoders employ symmetric encoding-decoding procedures and a simple Euclidean latent space to detect hidden low-dimensional structures in an unsupervised way.…

Machine Learning · Computer Science 2024-10-07 Stefan C. Schonsheck , Scott Mahan , Timo Klock , Alexander Cloninger , Rongjie Lai

Classification of topological phononics is challenging due to the lack of universal topological invariants and the randomness of structure patterns. Here, we show the unsupervised manifold learning for clustering topological phononics…

Disordered Systems and Neural Networks · Physics 2020-05-13 Yang Long , Jie Ren , Hong Chen

With the rise of deep learning technology in practical applications, Convolutional Neural Networks (CNNs) have been able to assist humans in solving many real-world problems. To enhance the performance of CNNs, numerous network…

Machine Learning · Computer Science 2024-09-10 Qi Wang , Zijun Gao , Mingxiu Sui , Taiyuan Mei , Xiaohan Cheng , Iris Li

In this paper, we propose to exploit the rich hierarchical features of deep convolutional neural networks to improve the accuracy and robustness of visual tracking. Deep neural networks trained on object recognition datasets consist of…

Computer Vision and Pattern Recognition · Computer Science 2018-08-14 Chao Ma , Jia-Bin Huang , Xiaokang Yang , Ming-Hsuan Yang

Persistent homology has been studied to better understand the structural properties and topology features of weighted networks. It can reveal hidden layers of information about the higher-order structures formed by non-pairwise interactions…

Combinatorics · Mathematics 2025-06-25 Udit Raj , Slobodan Maletić , Sudeepto Bhattacharya

Neural networks encode inputs as high-dimensional vectors, known as representations, that capture how models process data by encoding task-relevant structure and semantics. Representation alignment refers to the degree to which different…

Computational Geometry · Computer Science 2026-05-26 Xinyuan Yan , Rita Sevastjanova , Mennatallah El-Assady , Bei Wang

Iterative gradient-based algorithms have been increasingly applied for the training of a broad variety of machine learning models including large neural-nets. In particular, momentum-based methods, with accelerated learning guarantees, have…

Machine Learning · Computer Science 2021-06-10 José M. Moreu , Anuradha M. Annaswamy

Representation learning has overcome the often arduous and manual featurization of networks through (unsupervised) feature learning as it results in embeddings that can apply to a variety of downstream learning tasks. The focus of…

Machine Learning · Computer Science 2021-01-01 Piotr Bielak , Tomasz Kajdanowicz , Nitesh V. Chawla

Unsupervised domain adaptation aiming to learn a specific task for one domain using another domain data has emerged to address the labeling issue in supervised learning, especially because it is difficult to obtain massive amounts of…

Machine Learning · Computer Science 2019-03-13 Jaeyoon Yoo , Changhwa Park , Yongjun Hong , Sungroh Yoon

Semantic segmentation of various tissue and nuclei types in histology images is fundamental to many downstream tasks in the area of computational pathology (CPath). In recent years, Deep Learning (DL) methods have been shown to perform well…

Computer Vision and Pattern Recognition · Computer Science 2023-02-14 Raja Muhammad Saad Bashir , Talha Qaiser , Shan E Ahmed Raza , Nasir M. Rajpoot

Recent advances in contrastive learning have enlightened diverse applications across various semi-supervised fields. Jointly training supervised learning and unsupervised learning with a shared feature encoder becomes a common scheme.…

Machine Learning · Computer Science 2022-06-03 Cheng Tan , Zhangyang Gao , Lirong Wu , Siyuan Li , Stan Z. Li

Biological network alignment identifies topologically and functionally conserved regions between networks of different species. It encompasses two algorithmic steps: node cost function (NCF), which measures similarities between nodes in…

Molecular Networks · Quantitative Biology 2014-07-21 Joseph Crawford , Yihan Sun , Tijana Milenković

We propose a method of aligning a source image to a target image, where the transform is specified by a dense vector field. The two images are encoded as feature hierarchies by siamese convolutional nets. Then a hierarchy of aligner modules…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Eric Mitchell , Stefan Keselj , Sergiy Popovych , Davit Buniatyan , H. Sebastian Seung

Data load balancing is a challenging task in the P2P systems. Distributed hash table (DHT) abstraction, heterogeneous nodes, and non uniform distribution of objects are the reasons to cause load imbalance in structured P2P overlay networks.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-16 Seyed Iman Mirrezaei , Javad Shahparian

A new approach to distributed syntonization (frequency alignment) for the coordination of nodes in open loop coherent distributed antenna arrays to enable distributed beamforming is presented. This approach makes use of the concept of…

Signal Processing · Electrical Eng. & Systems 2019-11-25 Hassna Ouassal , Ming Yan , Jeffrey A. Nanzer

Supervised and unsupervised homography estimation methods depend on image pairs tailored to specific modalities to achieve high accuracy. However, their performance deteriorates substantially when applied to unseen modalities. To address…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Jinkun You , Jiaxin Cheng , Jie Zhang , Yicong Zhou