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This paper is devoted to studying difference indices of quasi-regular difference algebraic systems. We give the definition of difference indices through a family of pseudo-Jacobian matrices. Some properties of difference indices are proved.…

交换代数 · 数学 2016-07-15 Jie Wang

Distance-based methods involve the computation of distance values between features and are a well-established paradigm in machine learning. In anomaly detection, anomalies are identified by their large distance from normal data points.…

天体物理仪器与方法 · 物理学 2025-10-29 Siddharth Chaini , Federica B. Bianco , Ashish Mahabal

Discrete partially ordered sets can be turned into distance spaces in several ways. The distance functions may or may not satisfy the triangle inequality, and restriction of the distance to finite chains may or may not coincide with the…

组合数学 · 数学 2018-02-27 Stephan Foldes

We present a scalable approach for range and $k$ nearest neighbor queries under computationally expensive metrics, like the continuous Fr\'echet distance on trajectory data. Based on clustering for metric indexes, we obtain a dynamic tree…

计算几何 · 计算机科学 2021-12-14 Joachim Gudmundsson , Michael Horton , John Pfeifer , Martin P. Seybold

Mukherjee (Pattern Recognition Letters, vol. 32, pp. 824-831, 2011) recently introduced a class of distance functions called weighted t-cost distances that generalize m-neighbor, octagonal, and t-cost distances. He proved that weighted…

数值分析 · 计算机科学 2012-06-12 M. Emre Celebi , Hassan A. Kingravi , Fatih Celiker

Many studies in data mining have proposed a new learning called semi-Supervised. Such type of learning combines unlabeled and labeled data which are hard to obtain. However, in unsupervised methods, the only unlabeled data are used. The…

机器学习 · 计算机科学 2013-04-16 Badreddine Meftahi , Ourida Ben Boubaker Saidi

We study metric learning from preference comparisons under the ideal point model, in which a user prefers an item over another if it is closer to their latent ideal item. These items are embedded into $\mathbb{R}^d$ equipped with an unknown…

机器学习 · 计算机科学 2024-07-15 Zhi Wang , Geelon So , Ramya Korlakai Vinayak

In search and recommendation, diversifying the multi-aspect search results could help with reducing redundancy, and promoting results that might not be shown otherwise. Many previous methods have been proposed for this task. However,…

信息检索 · 计算机科学 2021-05-24 Jianghong Zhou , Eugene Agichtein , Surya Kallumadi

Curve matching is a prediction technique that relies on predictive mean matching, which matches donors that are most similar to a target based on the predictive distance. Even though this approach leads to high prediction accuracy, the…

统计方法学 · 统计学 2022-07-12 Anaïs Fopma , Mingyang Cai , Stef van Buuren , Gerko Vink

The Mallows model occupies a central role in parametric modelling of ranking data to learn preferences of a population of judges. Despite the wide range of metrics for rankings that can be considered in the model specification, the choice…

统计方法学 · 统计学 2022-09-21 Marta Crispino , Cristina Mollica , Valerio Astuti , Luca Tardella

As multipath components (MPCs) are experimentally observed to appear in clusters, cluster-based channel models have been focused in the wireless channel study. However, most of the MPC clustering algorithms for MIMO channels with delay and…

信息论 · 计算机科学 2022-06-29 Yi Chen , Chong Han , Jia He , Guangjian Wang

Rank similarity measures provide a method for quantifying differences between search engine results without the need for relevance judgments. For example, the providers of a search service might use such measures to estimate the impact of a…

信息检索 · 计算机科学 2014-08-18 Luchen Tan , Clarke L. A. Clarke

Similarity query is the family of queries based on some similarity metrics. Unlike the traditional database queries which are mostly based on value equality, similarity queries aim to find targets "similar enough to" the given data objects,…

数据库 · 计算机科学 2022-04-19 Yifan Wang

When matching parts of a surface to its whole, a fundamental question arises: Which points should be included in the matching process? The issue is intensified when using isometry to measure similarity, as it requires the validation of…

计算机视觉与模式识别 · 计算机科学 2024-10-31 Amit Bracha , Thomas Dagès , Ron Kimmel

The overwhelming volume of data generated and indexed by search engines poses a significant challenge in retrieving documents from the index efficiently and effectively. Even with a well-crafted query, several relevant documents often get…

信息检索 · 计算机科学 2023-10-17 Aman Sinha , Priyanshu Raj Mall , Dwaipayan Roy

In recent years, the concepts of ``diversity'' and ``inclusion'' have attracted considerable attention across a range of fields, encompassing both social and biological disciplines. To fully understand these concepts, it is critical to not…

社会与信息网络 · 计算机科学 2024-10-10 Keita Kinjo

The distance metric plays an important role in nearest neighbor (NN) classification. Usually the Euclidean distance metric is assumed or a Mahalanobis distance metric is optimized to improve the NN performance. In this paper, we study the…

机器学习 · 统计学 2007-06-26 Bharath K. Sriperumbudur , Gert R. G. Lanckriet

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

Manifold distances are very effective tools for visual object recognition. However, most of the traditional manifold distances between images are based on the pixel-level comparison and thus easily affected by image rotations and…

计算机视觉与模式识别 · 计算机科学 2016-05-13 Fengfu Li , Xiayuan Huang , Hong Qiao , Bo Zhang

This paper introduces a new (dis)similarity measure for 2D arrays, extending the Average Common Submatrix measure. This is accomplished by: (i) considering the frequency of matching patterns, (ii) restricting the pattern matching to a…

计算机视觉与模式识别 · 计算机科学 2017-06-20 Alessia Amelio , Darko Brodić