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For any finite point set in $D$-dimensional space equipped with the 1-norm, we present random linear embeddings to $k$-dimensional space, with a new metric, having the following properties. For any pair of points from the point set that are…

概率论 · 数学 2020-11-09 Michael P. Casey

We present a formulation of the relative depth estimation from a single image problem, as a ranking problem. By reformulating the problem this way, we were able to utilize literature on the ranking problem, and apply the existing knowledge…

计算机视觉与模式识别 · 计算机科学 2020-10-15 Alican Mertan , Damien Jade Duff , Gozde Unal

In this paper, we aim to learn a low-dimensional Euclidean representation from a set of constraints of the form "item j is closer to item i than item k". Existing approaches for this "ordinal embedding" problem require expensive…

机器学习 · 计算机科学 2019-10-29 Nikhil Ghosh , Yuxin Chen , Yisong Yue

Deep learning has proven itself as a successful set of models for learning useful semantic representations of data. These, however, are mostly implicitly learned as part of a classification task. In this paper we propose the triplet network…

机器学习 · 计算机科学 2018-12-05 Elad Hoffer , Nir Ailon

Ordinal regression is a classification task where classes have an order and prediction error increases the further the predicted class is from the true class. The standard approach for modeling ordinal data involves fitting parallel…

机器学习 · 计算机科学 2022-02-16 Fred Lu , Francis Ferraro , Edward Raff

Tensor-valued data arise naturally in multidimensional signal and imaging problems, such as biomedical imaging. When incorporated into generalized linear models (GLMs), naive vectorization can destroy their multi-way structure and lead to…

机器学习 · 统计学 2026-04-07 Xiao Liang , Shuang Li

Ordinal regression (OR) is a special multiclass classification problem where an order relation exists among the labels. Recent years, people share their opinions and sentimental judgments conveniently with social networks and E-Commerce so…

机器学习 · 计算机科学 2018-12-21 Yong Shi , Huadong Wang , Xin Shen , Lingfeng Niu

Distance metric learning is an important component for many tasks, such as statistical classification and content-based image retrieval. Existing approaches for learning distance metrics from pairwise constraints typically suffer from two…

机器学习 · 计算机科学 2012-06-26 Liu Yang , Rong Jin , Rahul Sukthankar

Multidimensional scaling (MDS) is the act of embedding proximity information about a set of $n$ objects in $d$-dimensional Euclidean space. As originally conceived by the psychometric community, MDS was concerned with embedding a fixed set…

机器学习 · 统计学 2024-12-12 Michael W. Trosset , Carey E. Priebe

Learning to rank has recently emerged as an attractive technique to train deep convolutional neural networks for various computer vision tasks. Pairwise ranking, in particular, has been successful in multi-label image classification,…

计算机视觉与模式识别 · 计算机科学 2017-06-02 Yuncheng Li , Yale Song , Jiebo Luo

This paper proposes an introspective deep metric learning (IDML) framework for uncertainty-aware comparisons of images. Conventional deep metric learning methods produce confident semantic distances between images regardless of the…

计算机视觉与模式识别 · 计算机科学 2023-09-06 Wenzhao Zheng , Chengkun Wang , Jie Zhou , Jiwen Lu

This paper proposes a novel image set classification technique based on the concept of linear regression. Unlike most other approaches, the proposed technique does not involve any training or feature extraction. The gallery image sets are…

计算机视觉与模式识别 · 计算机科学 2019-03-05 Uzair Nadeem , Syed Afaq Ali Shah , Mohammed Bennamoun , Roberto Togneri , Ferdous Sohel

A number of machine learning algorithms are using a metric, or a distance, in order to compare individuals. The Euclidean distance is usually employed, but it may be more efficient to learn a parametric distance such as Mahalanobis metric.…

机器学习 · 计算机科学 2016-12-16 Hoel Le Capitaine

In linear distance metric learning, we are given data in one Euclidean metric space and the goal is to find an appropriate linear map to another Euclidean metric space which respects certain distance conditions as much as possible. In this…

机器学习 · 计算机科学 2023-12-22 Meysam Alishahi , Anna Little , Jeff M. Phillips

Most of metric learning approaches are dedicated to be applied on data described by feature vectors, with some notable exceptions such as times series, trees or graphs. The objective of this paper is to propose a metric learning algorithm…

机器学习 · 计算机科学 2018-07-03 Jiajun Pan , Hoel Le Capitaine , Philippe Leray

Ordinal Embedding places n objects into R^d based on comparisons such as "a is closer to b than c." Current optimization-based approaches suffer from scalability problems and an abundance of low quality local optima. We instead consider a…

计算几何 · 计算机科学 2018-05-22 Jesse Anderton , Virgil Pavlu , Javed Aslam

Label distribution learning (LDL) trains a model to predict the relevance of a set of labels (called label distribution (LD)) to an instance. The previous LDL methods all assumed the LDs of the training instances are accurate. However,…

机器学习 · 计算机科学 2023-08-29 Zhiqiang Kou , Yuheng Jia , Jing Wang , Xin Geng

Fabric image retrieval is beneficial to many applications including clothing searching, online shopping and cloth modeling. Learning pairwise image similarity is of great importance to an image retrieval task. With the resurgence of…

计算机视觉与模式识别 · 计算机科学 2018-01-01 Daiguo Deng , Ruomei Wang , Hefeng Wu , Huayong He , Qi Li , Xiaonan Luo

Multidimensional Scaling (MDS) is one of the most popular methods for dimensionality reduction and visualization of high dimensional data. Apart from these tasks, it also found applications in the field of geometry processing for the…

计算几何 · 计算机科学 2017-09-12 Amit Boyarski , Alex M. Bronstein , Michael M. Bronstein

In this paper we propose an approach for learning low dimensional optimized feature space with minimum intra-class variance and maximum inter-class variance. We address the problem of high-dimensionality of feature vectors extracted from…

图像与视频处理 · 电气工程与系统科学 2020-01-31 Abin Jose , Erik Stefan Ottlik , Christian Rohlfing , Jens-Rainer Ohm