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The spectra of random feature matrices provide essential information on the conditioning of the linear system used in random feature regression problems and are thus connected to the consistency and generalization of random feature models.…

Machine Learning · Statistics 2022-12-13 Zhijun Chen , Hayden Schaeffer , Rachel Ward

Visual design is associated with the use of some basic design elements and principles. Those are applied by the designers in the various disciplines for aesthetic purposes, relying on an intuitive and subjective process. Thus, numerical…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Gozdenur Demir , Asli Cekmis , Vahit Bugra Yesilkaynak , Gozde Unal

A ranking is an ordered sequence of items, in which an item with higher ranking score is more preferred than the items with lower ranking scores. In many information systems, rankings are widely used to represent the preferences over a set…

Artificial Intelligence · Computer Science 2017-09-22 Zhiwei Lin , Yi Li , Xiaolian Guo

We introduce a rigorous framework for the quantification of coherence and identify intuitive and easily computable measures of coherence. We achieve this by adopting the viewpoint of coherence as a physical resource. By determining defining…

Quantum Physics · Physics 2014-10-07 T. Baumgratz , M. Cramer , M. B. Plenio

Building successful recommender systems requires uncovering the underlying dimensions that describe the properties of items as well as users' preferences toward them. In domains like clothing recommendation, explaining users' preferences…

Information Retrieval · Computer Science 2016-04-21 Ruining He , Chunbin Lin , Jianguo Wang , Julian McAuley

Interestingness measures provide information that can be used to prune or select association rules. A given value of an interestingness measure is often interpreted relative to the overall range of the values that the interestingness…

Applications · Statistics 2013-08-20 Mateen Shaikh , Paul D. McNicholas , M. Luiza Antonie , T. Brendan Murphy

In the fields of Experimental and Computational Aesthetics, numerous image datasets have been created over the last two decades. In the present work, we provide a comparative overview of twelve image datasets that include aesthetic ratings…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Ralf Bartho , Katja Thoemmes , Christoph Redies

Interferometers provide a highly sensitive means to investigate and exploit the coherence properties of light in metrology applications. However, interferometers come in various forms and exploit different properties of the optical states…

A good classification method should yield more accurate results than simple heuristics. But there are classification problems, especially high-dimensional ones like the ones based on image/video data, for which simple heuristics can work…

Machine Learning · Statistics 2018-06-15 Tarun Yellamraju , Jonas Hepp , Mireille Boutin

In order to use psychometric instruments to assess a multidimensional construct, we may decompose it in dimensions and, in order to assess each dimension, develop a set of items, so one may assess the construct as a whole, by assessing its…

Methodology · Statistics 2018-02-02 Diego Marcondes , Nilton Rogerio Marcondes

A composition of a nonnegative integer (n) is a sequence of positive integers whose sum is (n). A composition is palindromic if it is unchanged when its terms are read in reverse order. We provide a generating function for the number of…

Combinatorics · Mathematics 2007-05-23 Sergey Kitaev , Tyrrell B. McAllister , T. Kyle Petersen

Due to the limited resources and the scale of the graphs in modern datasets, we often get to observe a sampled subgraph of a larger original graph of interest, whether it is the worldwide web that has been crawled or social connections that…

Machine Learning · Computer Science 2018-12-04 Ashish Khetan , Harshay Shah , Sewoong Oh

Handling visual complexity is a challenging problem in visualization owing to the subjectiveness of its definition and the difficulty in devising generalizable quantitative metrics. In this paper we address this challenge by measuring the…

Artificial Intelligence · Computer Science 2013-02-26 B. Duffy , A. Dasgupta , R. Kosara , S. Walton , M. Chen

Network-theoretic tools contribute to understanding real-world system dynamics, e.g., in wildlife conservation, epidemics, and power outages. Network visualization helps illustrate structural heterogeneity; however, details about…

Social and Information Networks · Computer Science 2015-09-28 Kehinde R. Salau , Jacopo A. Baggio , Marco A. Janssen , Joshua K. Abbott , Eli P. Fenichel

This paper develops a framework for conceptualizing, visualizing, and measuring regularities in rhythmic data. I propose to think about rhythmic data in terms of interval segments: fixed-length groups of consecutive intervals, which can be…

Sound · Computer Science 2026-03-31 Bas Cornelissen

In recent years, networks with higher-order interactions have emerged as a powerful tool to model complex systems. Comparing these higher-order systems remains however a challenge. Traditional similarity measures designed for pairwise…

Physics and Society · Physics 2026-02-24 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

Reliability is an essential measure of how closely observed scores represent latent scores (reflecting constructs), assuming some latent variable measurement model. We present a general theoretical framework of reliability, placing emphasis…

Methodology · Statistics 2024-10-29 Yang Liu , Jolynn Pek , Alberto Maydeu-Olivares

Identifying central entities and interactions is a fundamental problem in network science. While well-studied for graphs (pairwise relations), many biological and social systems exhibit higher-order interactions best modeled by hypergraphs.…

Physics and Society · Physics 2025-12-02 Jaewan Chun , Fanchen Bu , Yeongho Kim , Atsushi Miyauchi , Francesco Bonchi , Kijung Shin

Embedding spaces contain interpretable dimensions indicating gender, formality in style, or even object properties. This has been observed multiple times. Such interpretable dimensions are becoming valuable tools in different areas of…

Computation and Language · Computer Science 2024-04-04 Katrin Erk , Marianna Apidianaki

The use of Association Rule Mining techniques in diverse contexts and domains has resulted in the creation of numerous interestingness measures. This, in turn, has motivated researchers to come up with various classification schemes for…

Machine Learning · Computer Science 2017-12-15 Nandan Sudarsanam , Nishanth Kumar , Abhishek Sharma , Balaraman Ravindran