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We introduce a new information-theoretic formulation of quantum measurement uncertainty relations, based on the notion of relative entropy between measurement probabilities. In the case of a finite-dimensional system and for any approximate…

Mathematical Physics · Physics 2018-03-02 Alberto Barchielli , Matteo Gregoratti , Alessandro Toigo

This paper defines a new pseudometric for binary relations between finite sets that measures consensus among subsets. The main results are (1) a concise restatement of this pseudometric with an intuitively appealing interpretation via a…

Geometric Topology · Mathematics 2021-09-28 Kenneth P. Ewing , Michael Robinson

Reasoning with fuzzy sets can be achieved through measures such as similarity and distance. However, these measures can often give misleading results when considered independently, for example giving the same value for two different pairs…

Artificial Intelligence · Computer Science 2014-09-04 Josie McCulloch , Christian Wagner , Uwe Aickelin

Machine Learning is a diverse field applied across various domains such as computer science, social sciences, medicine, chemistry, and finance. This diversity results in varied evaluation approaches, making it difficult to compare models…

Machine Learning · Computer Science 2025-07-08 Silvia Beddar-Wiesing , Alice Moallemy-Oureh , Marie Kempkes , Josephine M. Thomas

Businesses, governmental bodies and NGO's have an ever-increasing amount of data at their disposal from which they try to extract valuable information. Often, this needs to be done not only accurately but also within a short time frame.…

Machine Learning · Computer Science 2021-09-16 Pim Verschuuren , Serena Palazzo , Tom Powell , Steve Sutton , Alfred Pilgrim , Michele Faucci Giannelli

There is currently a rapid increase in the number of challenge problem, benchmarking datasets and algorithmic optimization tests for evaluating AI systems. However, there does not currently exist an objective measure to determine the…

Artificial Intelligence · Computer Science 2020-10-06 Christopher Pereyda , Lawrence Holder

Fairness is a concept of justice. Various definitions exist, some of them conflicting with each other. In the absence of an uniformly accepted notion of fairness, choosing the right kind for a specific situation has always been a central…

Artificial Intelligence · Computer Science 2021-10-01 Boris Ruf , Marcin Detyniecki

Perceptual judgment of image similarity by humans relies on rich internal representations ranging from low-level features to high-level concepts, scene properties and even cultural associations. However, existing methods and datasets…

Computer Vision and Pattern Recognition · Computer Science 2018-10-22 Amir Rosenfeld , Markus D. Solbach , John K. Tsotsos

The aim of this article is to make a contribution to the Bayesian procedure of testing precise hypotheses for parametric models. For this purpose, we define the Bayesian Discrepancy Measure that allows one to evaluate the suitability of a…

Methodology · Statistics 2022-11-21 Francesco Bertolino , Mara Manca , Monica Musio , Walter Racugno , Laura Ventura

Opacity is an important information-flow security property in the analysis of cyber-physical systems. It captures the plausible deniability of the system's secret behavior in the presence of an intruder that may access the information flow.…

Systems and Control · Computer Science 2019-02-26 Xiang Yin , Majid Zamani

Measuring visual similarity between two or more instances within a data distribution is a fundamental task in image retrieval. Theoretically, non-metric distances are able to generate a more complex and accurate similarity model than metric…

Computer Vision and Pattern Recognition · Computer Science 2019-04-11 Noa Garcia , George Vogiatzis

Node similarity measures quantify how similar a pair of nodes are in a network. These similarity measures turn out to be an important fundamental tool for many real world applications such as link prediction in networks, recommender systems…

Social and Information Networks · Computer Science 2020-02-26 Palash Dey , Sourav Medya

Researchers are increasingly subjecting artificial intelligence systems to psychological testing. But to rigorously compare their cognitive capacities with humans and other animals, we must avoid both over- and under-stating our…

Artificial Intelligence · Computer Science 2025-03-05 Konstantinos Voudouris , Lucy G. Cheke , Eric Schulz

Face images are one of the main areas of focus for computer vision, receiving on a wide variety of tasks. Although face recognition is probably the most widely researched, many other tasks such as kinship detection, facial expression…

Computer Vision and Pattern Recognition · Computer Science 2018-06-15 Amir Sadovnik , Wassim Gharbi , Thanh Vu , Andrew Gallagher

Artificial intelligence (AI) systems attempt to imitate human behavior. How well they do this imitation is often used to assess their utility and to attribute human-like (or artificial) intelligence to them. However, most work on AI refers…

Computers and Society · Computer Science 2022-11-24 Vinodkumar Prabhakaran , Rida Qadri , Ben Hutchinson

Estimating the semantic similarity between text data is one of the challenging and open research problems in the field of Natural Language Processing (NLP). The versatility of natural language makes it difficult to define rule-based methods…

Computation and Language · Computer Science 2021-02-24 Dhivya Chandrasekaran , Vijay Mago

The Jaccard similarity index has often been employed in science and technology as a means to quantify the similarity between two sets. When modified to operate on real-valued values, the Jaccard similarity index can be applied to compare…

Data Analysis, Statistics and Probability · Physics 2024-10-23 Gonzalo Travieso , Alexandre Benatti , Luciano da F. Costa

Cosine similarity has become a standard metric for comparing embeddings in modern machine learning. Its scale-invariance and alignment with model training objectives have contributed to its widespread adoption. However, recent studies have…

Machine Learning · Computer Science 2025-05-21 Kisung You

AI alignment refers to models acting towards human-intended goals, preferences, or ethical principles. Given that most large-scale deep learning models act as black boxes and cannot be manually controlled, analyzing the similarity between…

Computer Vision and Pattern Recognition · Computer Science 2023-10-23 Jiyoung Lee , Seungho Kim , Seunghyun Won , Joonseok Lee , Marzyeh Ghassemi , James Thorne , Jaeseok Choi , O-Kil Kwon , Edward Choi

The problem of identifying to which of a given set of classes objects belong is ubiquitous, occurring in many research domains and application areas, including medical diagnosis, financial decision making, online commerce, and national…

Machine Learning · Computer Science 2024-09-20 David J. Hand , Peter Christen , Sumayya Ziyad
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