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The goal of ordinal embedding is to represent items as points in a low-dimensional Euclidean space given a set of constraints in the form of distance comparisons like "item $i$ is closer to item $j$ than item $k$". Ordinal constraints like…

Machine Learning · Statistics 2016-06-24 Lalit Jain , Kevin Jamieson , Robert Nowak

Overlapping clusters are common in models of many practical data-segmentation applications. Suppose we are given $n$ elements to be clustered into $k$ possibly overlapping clusters, and an oracle that can interactively answer queries of the…

Machine Learning · Computer Science 2019-10-29 Wasim Huleihel , Arya Mazumdar , Muriel Médard , Soumyabrata Pal

Text clustering aims to automatically partition a collection of documents into coherent groups based on their linguistic features. In the literature, this task is formulated either as metric clustering over pre-trained text embeddings or as…

Computation and Language · Computer Science 2025-08-22 Hongtao Wang , Taiyan Zhang , Renchi Yang , Jianliang Xu

Outfit recommendation requires the answers of some challenging outfit compatibility questions such as 'Which pair of boots and school bag go well with my jeans and sweater?'. It is more complicated than conventional similarity search, and…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Xuewen Yang , Dongliang Xie , Xin Wang , Jiangbo Yuan , Wanying Ding , Pengyun Yan

Embedding-based retrieval (EBR) methods are widely used in modern recommender systems thanks to its simplicity and effectiveness. However, along the journey of deploying and iterating on EBR in production, we still identify some fundamental…

Information Retrieval · Computer Science 2023-02-07 Yuan Zhang , Xue Dong , Weijie Ding , Biao Li , Peng Jiang , Kun Gai

Scientists in many fields have the common and basic need of dimensionality reduction: visualizing the underlying structure of the massive multivariate data in a low-dimensional space. However, many dimensionality reduction methods confront…

Machine Learning · Statistics 2015-03-19 Teng Qiu , Yongjie Li

We present a method for learning an embedding that places images of humans in similar poses nearby. This embedding can be used as a direct method of comparing images based on human pose, avoiding potential challenges of estimating body…

Computer Vision and Pattern Recognition · Computer Science 2015-07-02 Greg Mori , Caroline Pantofaru , Nisarg Kothari , Thomas Leung , George Toderici , Alexander Toshev , Weilong Yang

Consider observation data, comprised of n observation vectors with values on a set of attributes. This gives us n points in attribute space. Having data structured as a tree, implied by having our observations embedded in an ultrametric…

Information Retrieval · Computer Science 2012-02-17 Fionn Murtagh , Pedro Contreras

The problem of multimodal clustering arises whenever the data are gathered with several physically different sensors. Observations from different modalities are not necessarily aligned in the sense there there is no obvious way to associate…

Machine Learning · Statistics 2020-12-10 Vasil Khalidov , Florence Forbes , Radu Horaud

Extracting high-quality structured information from scientific literature is crucial for advancing material design through data-driven methods. Despite the considerable research in natural language processing for dataset extraction,…

Computation and Language · Computer Science 2025-03-11 Mengzhe Hei , Zhouran Zhang , Qingbao Liu , Yan Pan , Xiang Zhao , Yongqian Peng , Yicong Ye , Xin Zhang , Shuxin Bai

We introduce a novel framework for Continual Learning in 3D object classification. Our approach, CL3D, is based on the selection of prototypes from each class using spectral clustering. For non-Euclidean data such as point clouds, spectral…

Computer Vision and Pattern Recognition · Computer Science 2025-03-07 Hossein Resani , Behrooz Nasihatkon , Mohammadreza Alimoradi Jazi

Retrieval plays a fundamental role in recommendation systems, search, and natural language processing (NLP) by efficiently finding relevant items from a large corpus given a query. Dot products have been widely used as the similarity…

Information Retrieval · Computer Science 2025-01-28 Bailu Ding , Jiaqi Zhai

Metric based comparison operations such as finding maximum, nearest and farthest neighbor are fundamental to studying various clustering techniques such as $k$-center clustering and agglomerative hierarchical clustering. These techniques…

Data Structures and Algorithms · Computer Science 2021-05-13 Raghavendra Addanki , Sainyam Galhotra , Barna Saha

Noisy pairwise comparison feedback has been incorporated to improve the overall query complexity of interactively learning binary classifiers. The \textit{positivity comparison oracle} is used to provide feedback on which is more likely to…

Machine Learning · Computer Science 2020-10-29 Zhenghang Cui , Issei Sato

Clustering is a fundamental approach to understanding data patterns, wherein the intuitive Euclidean distance space is commonly adopted. However, this is not the case for implicit cluster distributions reflected by qualitative attribute…

Machine Learning · Statistics 2026-03-05 Mingjie Zhao , Sen Feng , Yiqun Zhang , Mengke Li , Yang Lu , Yiu-ming Cheung

Relative positional embeddings (RPE) have received considerable attention since RPEs effectively model the relative distance among tokens and enable length extrapolation. We propose KERPLE, a framework that generalizes relative position…

Computation and Language · Computer Science 2022-10-14 Ta-Chung Chi , Ting-Han Fan , Peter J. Ramadge , Alexander I. Rudnicky

A major endeavor of computer vision is to represent, understand and extract structure from 3D data. Towards this goal, unsupervised learning is a powerful and necessary tool. Most current unsupervised methods for 3D shape analysis use…

Computer Vision and Pattern Recognition · Computer Science 2020-08-25 Aditya Sanghi

In this work we consider the problem of learning a positive semidefinite kernel matrix from relative comparisons of the form: "object A is more similar to object B than it is to C", where comparisons are given by humans. Existing solutions…

Machine Learning · Computer Science 2014-04-17 Eric Heim , Hamed Valizadegan , Milos Hauskrecht

Embedding learning for categorical features is crucial for the deep learning-based recommendation models (DLRMs). Each feature value is mapped to an embedding vector via an embedding learning process. Conventional methods configure a fixed…

Machine Learning · Computer Science 2021-08-27 Bencheng Yan , Pengjie Wang , Kai Zhang , Wei Lin , Kuang-Chih Lee , Jian Xu , Bo Zheng

Mixup refers to interpolation-based data augmentation, originally motivated as a way to go beyond empirical risk minimization (ERM). Yet, its extensions focus on the definition of interpolation and the space where it takes place, while the…

Machine Learning · Computer Science 2022-07-01 Shashanka Venkataramanan , Ewa Kijak , Laurent Amsaleg , Yannis Avrithis