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Representation learning is currently a very hot topic in modern machine learning, mostly due to the great success of the deep learning methods. In particular low-dimensional representation which discriminates classes can not only enhance…

Machine Learning · Computer Science 2015-04-13 Wojciech Marian Czarnecki , Rafał Józefowicz , Jacek Tabor

Hyperbolic geometry has emerged as an effective latent space for representing complex networks, owing to its ability to capture hierarchical organization and heterogeneous connectivity patterns using low-dimensional embeddings. As a result,…

Machine Learning · Computer Science 2026-05-01 Sofía Pérez Casulo , Marcelo Fiori , Bernardo Marenco , Federico Larroca

In the marketing field, understanding consumer heterogeneity, which is the internal or psychological difference among consumers that cannot be captured by behavioral logs, has long been a critical challenge. However, a number of consumers…

Computational Engineering, Finance, and Science · Computer Science 2024-01-23 Junichiro Niimi

Recently, models for user representation learning have been widely applied in click-through-rate (CTR) and conversion-rate (CVR) prediction. Usually, the model learns a universal user representation as the input for subsequent…

Machine Learning · Computer Science 2024-09-24 Xiaoyu Tan , Yongxin Deng , Chao Qu , Siqiao Xue , Xiaoming Shi , James Zhang , Xihe Qiu

For manifold learning, it is assumed that high-dimensional sample/data points are embedded on a low-dimensional manifold. Usually, distances among samples are computed to capture an underlying data structure. Here we propose a metric…

Machine Learning · Computer Science 2019-09-20 Fenglei Fan , Ziyu Su , Yueyang Teng , Ge Wang

Learning mappings of data on manifolds is an important topic in contemporary machine learning, with applications in astrophysics, geophysics, statistical physics, medical diagnosis, biochemistry, 3D object analysis. This paper studies the…

Numerical Analysis · Mathematics 2020-07-21 Guido Montúfar , Yu Guang Wang

Many of the tools available for robot learning were designed for Euclidean data. However, many applications in robotics involve manifold-valued data. A common example is orientation; this can be represented as a 3-by-3 rotation matrix or a…

Robotics · Computer Science 2024-05-15 P. C. Lopez-Custodio , K. Bharath , A. Kucukyilmaz , S. P. Preston

Graph-structured data are widespread in real-world applications, such as social networks, recommender systems, knowledge graphs, chemical molecules etc. Despite the success of Euclidean space for graph-related learning tasks, its ability to…

Machine Learning · Computer Science 2022-11-09 Min Zhou , Menglin Yang , Lujia Pan , Irwin King

Finding meaningful representations and distances of hierarchical data is important in many fields. This paper presents a new method for hierarchical data embedding and distance. Our method relies on combining diffusion geometry, a central…

Machine Learning · Computer Science 2023-05-31 Ya-Wei Eileen Lin , Ronald R. Coifman , Gal Mishne , Ronen Talmon

We propose a new method for embedding graphs while preserving directed edge information. Learning such continuous-space vector representations (or embeddings) of nodes in a graph is an important first step for using network information…

Machine Learning · Computer Science 2017-09-15 Sami Abu-El-Haija , Bryan Perozzi , Rami Al-Rfou

Manifold Learning is a class of algorithms seeking a low-dimensional non-linear representation of high-dimensional data. Thus manifold learning algorithms are, at least in theory, most applicable to high-dimensional data and sample sizes to…

Machine Learning · Computer Science 2016-03-10 James McQueen , Marina Meila , Jacob VanderPlas , Zhongyue Zhang

Manifold learning is used for dimensionality reduction, with the goal of finding a projection subspace to increase and decrease the inter- and intraclass variances, respectively. However, a bottleneck for subspace learning methods often…

Machine Learning · Computer Science 2021-05-26 Parisa Abdolrahim Poorheravi , Vincent Gaudet

Meshes are ubiquitous in visual computing and simulation, yet most existing machine learning techniques represent meshes only indirectly, e.g. as the level set of a scalar field or deformation of a template, or as a disordered triangle soup…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Tianchang Shen , Zhaoshuo Li , Marc Law , Matan Atzmon , Sanja Fidler , James Lucas , Jun Gao , Nicholas Sharp

Euclidean representation learning methods have achieved promising results in image fusion tasks, which can be attributed to their clear advantages in handling with linear space. However, data collected from a realistic scene usually has a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Huan Kang , Hui Li , Tianyang Xu , Xiao-Jun Wu , Rui Wang , Chunyang Cheng , Josef Kittler

Data living on manifolds commonly appear in many applications. Often this results from an inherently latent low-dimensional system being observed through higher dimensional measurements. We show that under certain conditions, it is possible…

Machine Learning · Statistics 2018-07-05 Ariel Schwartz , Ronen Talmon

Representing graphs as sets of node embeddings in certain curved Riemannian manifolds has recently gained momentum in machine learning due to their desirable geometric inductive biases, e.g., hierarchical structures benefit from hyperbolic…

Machine Learning · Computer Science 2020-06-09 Calin Cruceru , Gary Bécigneul , Octavian-Eugen Ganea

Predicting consumers' purchasing behaviors is critical for targeted advertisement and sales promotion in e-commerce. Human faces are an invaluable source of information for gaining insights into consumer personality and behavioral traits.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Zhe Liu , Xianzhi Wang , Lina Yao , Jake An , Lei Bai , Ee-Peng Lim

It is of high interest for a company to identify customers expected to bring the largest profit in the upcoming period. Knowing as much as possible about each customer is crucial for such predictions. However, their demographic data,…

Machine Learning · Computer Science 2018-03-30 Jelena Stojanovic , Djordje Gligorijevic , Zoran Obradovic

Manifold learning is a fundamental problem in machine learning with numerous applications. Most of the existing methods directly learn the low-dimensional embedding of the data in some high-dimensional space, and usually lack the…

Machine Learning · Computer Science 2021-03-16 Yufan Zhou , Changyou Chen , Jinhui Xu

We introduce MOON, our comprehensive set of sustainable iterative practices for multimodal representation learning for e-commerce applications. MOON has already been fully deployed across all stages of Taobao search advertising system,…

Information Retrieval · Computer Science 2025-11-19 Chenghan Fu , Daoze Zhang , Yukang Lin , Zhanheng Nie , Xiang Zhang , Jianyu Liu , Yueran Liu , Wanxian Guan , Pengjie Wang , Jian Xu , Bo Zheng