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This paper proposes a new dimensionality reduction algorithm named branching embedding (BE). It converts a dendrogram to a two-dimensional scatter plot, and visualizes the inherent structures of the original high-dimensional data. Since the…

Machine Learning · Statistics 2018-05-08 Makito Oku

Explicit high-order feature interactions efficiently capture essential structural knowledge about the data of interest and have been used for constructing generative models. We present a supervised discriminative High-Order Parametric…

Artificial Intelligence · Computer Science 2016-08-17 Martin Renqiang Min , Hongyu Guo , Dongjin Song

Majority of the current dimensionality reduction or retrieval techniques rely on embedding the learned feature representations onto a computable metric space. Once the learned features are mapped, a distance metric aids the bridging of gaps…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 Muhammad Kamran Janjua , Shah Nawaz , Alessandro Calefati , Ignazio Gallo

Spectral Embedding (SE) has often been used to map data points from non-linear manifolds to linear subspaces for the purpose of classification and clustering. Despite significant advantages, the subspace structure of data in the original…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Hira Yaseen , Arif Mahmood

We propose an algorithm, HPREF (Hierarchical Partitioning by Repeated Features), that produces a hierarchical partition of a set of clusterings of a fixed dataset, such as sets of clusterings produced by running a clustering algorithm with…

Machine Learning · Statistics 2019-10-01 Alexander Rolle , Luis Scoccola

For convolutional neural network models that optimize an image embedding, we propose a method to highlight the regions of images that contribute most to pairwise similarity. This work is a corollary to the visualization tools developed for…

Computer Vision and Pattern Recognition · Computer Science 2019-01-04 Abby Stylianou , Richard Souvenir , Robert Pless

Cluster visualization is an essential task for nonlinear dimensionality reduction as a data analysis tool. It is often believed that Student t-Distributed Stochastic Neighbor Embedding (t-SNE) can show clusters for well clusterable data,…

Machine Learning · Computer Science 2021-10-07 Zhirong Yang , Yuwei Chen , Jukka Corander

Achieving backward compatibility when rolling out new models can highly reduce costs or even bypass feature re-encoding of existing gallery images for in-production visual retrieval systems. Previous related works usually leverage losses…

Computer Vision and Pattern Recognition · Computer Science 2021-08-05 Qiang Meng , Chixiang Zhang , Xiaoqiang Xu , Feng Zhou

While deep Embedding Learning approaches have witnessed widespread success in multiple computer vision tasks, the state-of-the-art methods for representing natural images need not necessarily perform well on images from other domains, such…

Computer Vision and Pattern Recognition · Computer Science 2022-08-23 Ujjal Kr Dutta

A probabilistic model for random hypergraphs is introduced to represent unary, binary and higher order interactions among objects in real-world problems. This model is an extension of the Latent Class Analysis model, which captures…

Methodology · Statistics 2018-08-16 Tin Lok James Ng , Thomas Brendan Murphy

This work introduces VERSE, a methodology for analyzing and improving Vision-Language Models applied to Visually-rich Document Understanding by exploring their visual embedding space. VERSE enables the visualization of latent…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Ignacio de Rodrigo , Alvaro J. Lopez-Lopez , Jaime Boal

Image clustering is one of the most important computer vision applications, which has been extensively studied in literature. However, current clustering methods mostly suffer from lack of efficiency and scalability when dealing with…

Machine Learning · Computer Science 2017-08-10 Kamran Ghasedi Dizaji , Amirhossein Herandi , Cheng Deng , Weidong Cai , Heng Huang

Visual-Semantic Embedding (VSE) aims to learn an embedding space where related visual and semantic instances are close to each other. Recent VSE models tend to design complex structures to pool visual and semantic features into fixed-length…

Multimedia · Computer Science 2022-10-06 Zijian Zhang , Chang Shu , Ya Xiao , Yuan Shen , Di Zhu , Jing Xiao , Youxin Chen , Jey Han Lau , Qian Zhang , Zheng Lu

Different types of two- and three-dimensional representations of a finite metric space are studied that focus on the accurate representation of the linear order among the distances rather than their actual values. Lower and upper bounds for…

Combinatorics · Mathematics 2007-05-23 Jobst Heitzig

Dimension reduction and data visualization aim to project a high-dimensional dataset to a low-dimensional space while capturing the intrinsic structures in the data. It is an indispensable part of modern data science, and many dimensional…

Machine Learning · Statistics 2022-10-26 Rong Ma , Eric D. Sun , James Zou

Clustering is a powerful and extensively used data science tool. While clustering is generally thought of as an unsupervised learning technique, there are also supervised variations such as Spath's clusterwise regression that attempt to…

Machine Learning · Computer Science 2023-05-09 Aravinth Chembu , Scott Sanner

We present a novel method for finding low dimensional views of high dimensional data: Targeted Projection Pursuit. The method proceeds by finding projections of the data that best approximate a target view. Two versions of the method are…

Quantitative Methods · Quantitative Biology 2007-05-23 J. Faith , R. Mintram , M. Angelova

Clustering analysis is one of the most widely used statistical tools in many emerging areas such as microarray data analysis. For microarray and other high-dimensional data, the presence of many noise variables may mask underlying…

Machine Learning · Statistics 2008-03-26 Benhuai Xie , Wei Pan , Xiaotong Shen

This paper presents enhancements to the projection pursuit tree classifier and visual diagnostic methods for assessing their impact in high dimensions. The original algorithm uses linear combinations of variables in a tree structure where…

Machine Learning · Statistics 2026-03-16 Natalia da Silva , Dianne Cook , Eun-Kyung Lee

We introduce associative embedding, a novel method for supervising convolutional neural networks for the task of detection and grouping. A number of computer vision problems can be framed in this manner including multi-person pose…

Computer Vision and Pattern Recognition · Computer Science 2017-06-12 Alejandro Newell , Zhiao Huang , Jia Deng