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The distance of a binary operation from being associative can be "measured" by its associative spectrum, an appropriate sequence of positive integers. Particular instances and general properties of associative spectra are studied.

Rings and Algebras · Mathematics 2011-02-11 Béla Csákány , Tamás Waldhauser

K-fold cross-validation is a widely used tool for assessing classifier performance. The reproducibility crisis faced by artificial intelligence partly results from the irreproducibility of reported k-fold cross-validation-based performance…

Machine Learning · Computer Science 2024-01-26 Attila Fazekas , Gyorgy Kovacs

This article shows that any type of binary data can be defined as a collection from codewords of variable length. This feature helps us to define an Injective and surjective function from the suggested codewords to the required codewords.…

Information Theory · Computer Science 2021-10-05 Parviz Gharehbagheri , Sayeed Hamid Haji Sayeed Javadi , Parvaneh Asghari , Naser Gharehbagheri

In this review, the state-of-the-art for goodness-of-fit testing for spatial point processes is summarized. Test statistics based on classical functional summary statistics and recent contributions from topological data analysis are…

Methodology · Statistics 2025-01-08 Chiara Fend , Claudia Redenbach

Accurately predicting faulty software units helps practitioners target faulty units and prioritize their efforts to maintain software quality. Prior studies use machine-learning models to detect faulty software code. We revisit past studies…

Software Engineering · Computer Science 2019-01-08 Libo Li , Stefan Lessmann , Bart Baesens

This paper describes implementation and computational results of a polynomial test of total unimodularity. The test is a simplified version of a prior method. The program also decides two related unimodularity properties. The software is…

Combinatorics · Mathematics 2012-04-25 Matthias Walter , Klaus Truemper

This paper studies the identification of nonlinearly parameterized control systems in given experiments. Several identifiability criteria are established and an implementable algorithm is proposed for practicality with the convergence rate…

Optimization and Control · Mathematics 2019-08-21 Chanying Li

Recurrence rate, determinism, average line length, and entropy of line lengths are measures of complexity in recurrence quantification analysis, that help to understand the structure, predictability and complexity of dynamical systems. In…

Dynamical Systems · Mathematics 2023-10-19 Miroslava Poláková , Vladimír Špitalský

This paper is devoted to a study of linear, differential and topological classifications for linear controlled systems governed by ordinary differential equations. The necessary and sufficient conditions for the linear and topological…

Optimization and Control · Mathematics 2008-07-30 Jing Li

We propose several novel methods for enhancing the multi-class SVMs by applying the generalization performance of binary classifiers as the core idea. This concept will be applied on the existing algorithms, i.e., the Decision Directed…

Machine Learning · Computer Science 2013-09-12 Patoomsiri Songsiri , Thimaporn Phetkaew , Boonserm Kijsirikul

In supervised learning, simple baseline classifiers can be constructed by only looking at the class, i.e., ignoring any other information from the dataset. The single-label learning community frequently uses as a reference the one which…

Machine Learning · Computer Science 2015-03-25 Jean Metz , Newton Spolaôr , Everton A. Cherman , Maria C. Monard

Robustness and accuracy are two critical metrics for industrial inspection. In this paper, we propose benchmarks that can evaluate the structured light method's performance. Our evaluation metric was learning from a lot of inspection tasks…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Yuping Ye , Siyuan Chen , Zhan Song

Software implements a significant proportion of functionality in factory automation. Thus, efficient development and the reuse of software parts, so-called units, enhance competitiveness. Thereby, complex control software units are more…

Software Engineering · Computer Science 2022-12-13 Juliane Fischer , Birgit Vogel-Heuser , Heiko Schneider , Nikolai Langer , Markus Felger , Matthias Bengel

Effective summarisation evaluation metrics enable researchers and practitioners to compare different summarisation systems efficiently. Estimating the effectiveness of an automatic evaluation metric, termed meta-evaluation, is a critically…

Computation and Language · Computer Science 2024-10-01 Xiang Dai , Sarvnaz Karimi , Biaoyan Fang

Scientific publications about machine learning in healthcare are often about implementing novel methods and boosting the performance - at least from a computer science perspective. However, beyond such often short-lived improvements, much…

The rapid proliferation of benchmarks for evaluating large language models (LLMs) has created an urgent need for systematic methods to assess benchmark quality itself. We propose Benchmark^2, a comprehensive framework comprising three…

New measures for the quantization of systems with constraints are discussed and applied to several examples, in particular, examples of alternative but equivalent formulations of given first-class constraints, as well as a comparison of…

Quantum Physics · Physics 2007-05-23 John R. Klauder

Agreeing suitability for purpose and procurement decisions depend on assessment of real or simulated performances of sonar systems against user requirements for particular scenarios. There may be multiple pertinent aspects of performance…

Statistics Theory · Mathematics 2010-11-10 C. M. Reed , A. J. Fenwick

Machine learning (ML) is the field of training machines to achieve high level of cognition and perform human-like analysis. Since ML is a data-driven approach, it seemingly fits into our daily lives and operations as well as complex and…

Machine Learning · Computer Science 2021-11-25 M. Z. Naser , Amir Alavi

Intrinsic evaluation metrics for conditional language models, such as perplexity or bits-per-character, are widely used in both mono- and multilingual settings. These metrics are rather straightforward to use and compare in monolingual…

Computation and Language · Computer Science 2026-01-16 Wessel Poelman , Miryam de Lhoneux