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Measuring the distance between data points is fundamental to many statistical techniques, such as dimension reduction or clustering algorithms. However, improvements in data collection technologies has led to a growing versatility of…

Methodology · Statistics 2022-06-20 George Bolt , Simón Lunagómez , Christopher Nemeth

A measure of privacy infringement for agents (or participants) travelling across a transportation network in participatory-sensing schemes for traffic estimation is introduced. The measure is defined to be the conditional probability that…

Optimization and Control · Mathematics 2016-09-06 Farhad Farokhi , Iman Shames

Although distance measures are used in many machine learning algorithms, the literature on the context-independent selection and evaluation of distance measures is limited in the sense that prior knowledge is used. In cluster analysis,…

Machine Learning · Computer Science 2021-08-24 Michael C. Thrun

Real-world data typically contain a large number of features that are often heterogeneous in nature, relevance, and also units of measure. When assessing the similarity between data points, one can build various distance measures using…

Machine Learning · Statistics 2022-05-27 Aldo Glielmo , Claudio Zeni , Bingqing Cheng , Gabor Csanyi , Alessandro Laio

Distance queries are a basic tool in data analysis. They are used for detection and localization of change for the purpose of anomaly detection, monitoring, or planning. Distance queries are particularly useful when data sets such as…

Data Structures and Algorithms · Computer Science 2015-03-20 Edith Cohen

In recent years, an increasing amount of data is collected in different and often, not cooperative, databases. The problem of privacy-preserving, distributed calculations over separated databases and, a relative to it, issue of private data…

Databases · Computer Science 2016-05-23 Philip Derbeko , Shlomi Dolev , Ehud Gudes , Jeffrey D. Ullman

Smartphone based travel data collection has become an important tool for the analysis of transportation systems. Interest in sharing travel survey data has gained popularity in recent years as "Open Data Initiatives" by governments seek to…

Cryptography and Security · Computer Science 2019-08-13 Godwin Badu-Marfo , Bilal Farooq , Zachary Patterson

The statistical censoring setup is extended to the situation when random measures can be assigned to the realization of datapoints, leading to a new way of incorporating expert information into the usual parametric estimation procedures.…

Methodology · Statistics 2023-12-05 Hansjörg Albrecher , Martin Bladt

In transportation network analysis, various types of road network data can be used even when focusing on the same region. Since different road network datasets can make different performance in analyses, it is necessary to compare them and…

Computational Engineering, Finance, and Science · Computer Science 2026-05-21 Hengyi Zhong , Toru Seo

The notion of task similarity is at the core of various machine learning paradigms, such as domain adaptation and meta-learning. Current methods to quantify it are often heuristic, make strong assumptions on the label sets across the tasks,…

Machine Learning · Computer Science 2020-02-10 David Alvarez-Melis , Nicolò Fusi

Transport demand is highly dependent on supply, especially for shared transport services where availability is often limited. As observed demand cannot be higher than available supply, historical transport data typically represents a…

We propose a new approach for estimating the parameters of a probability distribution. It consists on combining two new methods of estimation. The first is based on the definition of a new distance measuring the difference between…

Methodology · Statistics 2008-12-30 Ahmed Guellil , Tewfik Kernane

In the era of big data, it is necessary to split extremely large data sets across multiple computing nodes and construct estimators using the distributed data. When designing distributed estimators, it is desirable to minimize the amount of…

Statistics Theory · Mathematics 2022-04-25 Azeem Zaman , Botond Szabó

The ability to mimic human notions of semantic distance has widespread applications. Some measures rely only on raw text (distributional measures) and some rely on knowledge sources such as WordNet. Although extensive studies have been…

Computation and Language · Computer Science 2012-03-09 Saif M. Mohammad , Graeme Hirst

The limit distribution of the nonparametric maximum likelihood estimator for interval censored data with more than one observation time per unobservable observation, is still unknown in general. For the so-called separated case, where one…

Statistics Theory · Mathematics 2026-02-12 Piet Groeneboom

Private closeness testing asks to decide whether the underlying probability distributions of two sensitive datasets are identical or differ significantly in statistical distance, while guaranteeing (differential) privacy of the data. As in…

Data Structures and Algorithms · Computer Science 2023-09-14 Clément L. Canonne , Yucheng Sun

We study learning Censor Markov Random Fields (abbreviated CMRFs). These are Markov Random Fields where some of the nodes are censored (not observed). We present an algorithm for learning high-temperature CMRFs within o(n) transportation…

Machine Learning · Computer Science 2021-01-18 Ankur Moitra , Elchanan Mossel , Colin Sandon

Data types that lie in metric spaces but not in vector spaces are difficult to use within the usual regression setting, either as the response and/or a predictor. We represent the information in these variables using distance matrices which…

Methodology · Statistics 2016-01-20 Julian Faraway

Distance metric learning algorithms aim to appropriately measure similarities and distances between data points. In the context of clustering, metric learning is typically applied with the assist of side-information provided by experts,…

Machine Learning · Computer Science 2021-05-27 Rodrigo Randel , Daniel Aloise , Alain Hertz

Computing the similarity between two probability distributions is a recurring theme across control. We introduce a unified family of distances between the probability distributions of two random variables that is based on the discrepancy…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Alexandros E. Tzikas , Arec Jamgochian , Nazim Kemal Ure , Mykel J. Kochenderfer , Stephen P. Boyd
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