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A common approach to implementing similarity search applications is the usage of distance functions, where small distances indicate high similarity. In the case of metric distance functions, metric index structures can be used to accelerate…

Data Structures and Algorithms · Computer Science 2019-02-05 Jörg P. Bachmann

In recent geospatial research, the importance of modeling large-scale human mobility data and predicting trajectories is rising, in parallel with progress in text generation using large-scale corpora in natural language processing. Whereas…

Machine Learning · Computer Science 2022-11-02 Toru Shimizu , Kota Tsubouchi , Takahiro Yabe

In machine learning and data mining, Cluster analysis is one of the most widely used unsupervised learning technique. Philosophy of this algorithm is to find similar data items and group them together based on any distance function in…

Machine Learning · Statistics 2018-10-09 Kumarjit Pathak , Jitin Kapila

This paper introduces $k$-Dynamic Time Warping ($k$-DTW), a novel dissimilarity measure for polygonal curves. $k$-DTW has stronger metric properties than Dynamic Time Warping (DTW) and is more robust to outliers than the Fr\'{e}chet…

Data Structures and Algorithms · Computer Science 2025-05-30 Amer Krivošija , Alexander Munteanu , André Nusser , Chris Schwiegelshohn

Uniformity plays an important role in evaluating learned representations, providing insights into self-supervised learning. In our quest for effective uniformity metrics, we pinpoint four principled properties that such metrics should…

Machine Learning · Computer Science 2024-04-29 Xianghong Fang , Jian Li , Qiang Sun , Benyou Wang

Similarity measures are used extensively in machine learning and data science algorithms. The newly proposed graph Relative Hausdorff (RH) distance is a lightweight yet nuanced similarity measure for quantifying the closeness of two graphs.…

Discrete Mathematics · Computer Science 2019-06-13 Sinan G. Aksoy , Kathleen E. Nowak , Emilie Purvine , Stephen J. Young

A distance measure is presented between two unitary propagators of quantum systems of differing dimensions along with a corresponding method of computation. A typical application is to compare the propagator of the actual (real) process…

Quantum Physics · Physics 2007-05-23 Robert L. Kosut , Matthew Grace , Constantin Brif , Herschel Rabitz

We survey a new area of parameter-free similarity distance measures useful in data-mining, pattern recognition, learning and automatic semantics extraction. Given a family of distances on a set of objects, a distance is universal up to a…

Information Retrieval · Computer Science 2007-05-23 Paul Vitanyi

Local learning of sparse image models has proven to be very effective to solve inverse problems in many computer vision applications. To learn such models, the data samples are often clustered using the K-means algorithm with the Euclidean…

Computer Vision and Pattern Recognition · Computer Science 2016-04-20 Julio Cesar Ferreira , Elif Vural , Christine Guillemot

In this paper, we study clustering with respect to the k-modes objective function, a natural formulation of clustering for categorical data. One of the main contributions of this paper is to establish the connection between k-modes and…

Artificial Intelligence · Computer Science 2007-05-23 Zengyou He

Generative Adversarial Networks (GANs) are by far the most successful generative models. Learning the transformation which maps a low dimensional input noise to the data distribution forms the foundation for GANs. Although they have been…

Machine Learning · Computer Science 2020-04-16 Manisha Padala , Debojit Das , Sujit Gujar

Empirically, Deep Learning (DL) has demonstrated unprecedented success in practical applications. However, DL remains by and large a mysterious "black-box", spurring recent theoretical research to build its mathematical foundations. In this…

Machine Learning · Computer Science 2025-01-22 Jwo-Yuh Wu , Liang-Chi Huang , Wen-Hsuan Li , Chun-Hung Liu

In recent years, as intrusion attacks on IoT networks have grown exponentially, there is an immediate need for sophisticated intrusion detection systems (IDSs). A vast majority of current IDSs are data-driven, which means that one of the…

Machine Learning · Computer Science 2020-01-01 Suchet Sapre , Pouyan Ahmadi , Khondkar Islam

Indoor intrusion detection technology has been widely utilized in network security monitoring, smart city, entertainment games, and other fields. Most existing indoor intrusion detection methods directly exploit the Received Signal Strength…

Signal Processing · Electrical Eng. & Systems 2019-10-07 M. Zhou , X. Li , Y. Wang , A. Ren , X. Yang

Due to the surge of data storage techniques, the need for the development of appropriate techniques to identify patterns and to extract knowledge from the resulting enormous data sets, which can be viewed as collections of dependent…

Methodology · Statistics 2018-12-04 Anne van Delft , Holger Dette

With the rapid development of the Internet of Things (IoT), the risks of data tampering and malicious information injection have intensified, making efficient threat detection in large-scale distributed sensor networks a pressing challenge.…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Yuhan Suo , Runqi Chai , Kaiyuan Chen , Senchun Chai , Wannian Liang , Yuanqing Xia

In this paper, we propose a new method for determining shared features of and measuring the distance between data sets or point clouds. Our approach uses the joint factorization of two data matrices $X_1,X_2$ into non-negative matrices $X_1…

Machine Learning · Computer Science 2022-11-29 Hannah Friedman , Amani R. Maina-Kilaas , Julianna Schalkwyk , Hina Ahmed , Jamie Haddock

Imitation learning algorithms have been interpreted as variants of divergence minimization problems. The ability to compare occupancy measures between experts and learners is crucial in their effectiveness in learning from demonstrations.…

Machine Learning · Computer Science 2022-07-05 Georgios Papagiannis , Yunpeng Li

Machine unlearning seeks to efficiently remove the influence of selected data while preserving generalization. Significant progress has been made in low dimensions $(p \ll n)$, but high dimensions pose serious theoretical challenges as…

Machine Learning · Statistics 2025-10-16 Aaradhya Pandey , Arnab Auddy , Haolin Zou , Arian Maleki , Sanjeev Kulkarni

The concept of Type-2 soft sets had been proposed as a generalization of Molodstov's soft sets. In this paper some shortcomings of some existing distance measures for Type-1 soft sets have been shown and accordingly some new distance…

General Mathematics · Mathematics 2016-12-21 Rajashi Chatterjee , P. Majumdar , S. K. Samanta
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