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We propose a framework for constructing and analyzing multiclass and multioutput classification metrics, i.e., involving multiple, possibly correlated multiclass labels. Our analysis reveals novel insights on the geometry of feasible…

Machine Learning · Statistics 2019-08-27 Xiaoyan Wang , Ran Li , Bowei Yan , Oluwasanmi Koyejo

This review aims to draw attention to two issues of concern when we set out to make machine learning work in the chemical and materials domain, i.e., statistical loss function metrics for the validation and benchmarking of data-derived…

Chemical Physics · Physics 2021-01-26 Gaurav Vishwakarma , Aditya Sonpal , Johannes Hachmann

We introduce a general framework to deterministically construct binary measurement matrices for compressed sensing. The proposed matrices are composed of (circulant) permutation submatrix blocks and zero submatrix blocks, thus making their…

Information Theory · Computer Science 2014-09-26 Xin-Ji Liu , Shu-Tao Xia , Tao Dai

The paper presents a collection of analytical benchmark problems specifically selected to provide a set of stress tests for the assessment of multifidelity optimization methods. In addition, the paper discusses a comprehensive ensemble of…

We learn about the world from a diverse range of sensory information. Automated systems lack this ability as investigation has centred on processing information presented in a single form. Adapting architectures to learn from multiple…

Machine Learning · Computer Science 2020-10-27 Jason Armitage , Shramana Thakur , Rishi Tripathi , Jens Lehmann , Maria Maleshkova

How does the formulation of a target variable affect performance within the ML pipeline? The experiments in this study examine numeric targets that have been binarized by comparing against a threshold. We compare the predictive performance…

Machine Learning · Computer Science 2023-10-17 Jessica Clark

The topic of statistical inference for dynamical systems has been studied extensively across several fields. In this survey we focus on the problem of parameter estimation for non-linear dynamical systems. Our objective is to place results…

Statistics Theory · Mathematics 2012-06-19 Kevin McGoff , Sayan Mukherjee , Natesh S. Pillai

The search engine evaluation research has quite a lot metrics available to it. Only recently, the question of the significance of individual metrics started being raised, as these metrics' correlations to real-world user experiences or…

Information Retrieval · Computer Science 2013-02-12 Pavel Sirotkin

This paper develops computable metrics to assign priorities for information collection on network systems made up by binary components. Components are worth inspecting because their condition state is uncertain and the system functioning…

Optimization and Control · Mathematics 2021-06-10 Chaochao Lin , Junho Song , Matteo Pozzi

This paper asks what classes of input signals are sufficient in order to completely identify the input/output behavior of generic bilinear systems. The main results are that step inputs are not sufficient, nor are single pulses, but the…

Optimization and Control · Mathematics 2007-05-23 Eduardo D. Sontag , Yuan Wang , Alexandre Megretski

The adequate use of information measured in a continuous manner along a period of time represents a methodological challenge. In the last decades, most of traditional statistical procedures have been extended for accommodating these…

Methodology · Statistics 2025-12-04 Pablo Martinez-Camblor

The intrinsic structure of binary fields poses a challenging complexity problem from both hardware and software point of view. Motivated by applications to modern cryptography, we describe some simple techniques aimed at performing…

Combinatorics · Mathematics 2015-01-16 Valentino Lanzone , Gábor P. Nagy

Modern artificial intelligence is supported by machine learning models (e.g., foundation models) that are pretrained on a massive data corpus and then adapted to solve a variety of downstream tasks. To summarize performance across multiple…

Machine Learning · Statistics 2025-01-09 Rachel Longjohn , Giri Gopalan , Emily Casleton

Insufficient performance of optimization approaches for fitting of mathematical models is still a major bottleneck in systems biology. In this manuscript, the reasons and methodological challenges are summarized as well as their impact in…

Performance · Computer Science 2019-07-09 Clemens Kreutz

This research paper aims to find, analyze and understand code patterns in any software system and measure its quality by defining standards and proposing a formula for the same. Every code that is written can be divided into different code…

Software Engineering · Computer Science 2011-07-01 Jitesh Dundas

Measuring and analyzing the performance of software has reached a high complexity, caused by more advanced processor designs and the intricate interaction between user programs, the operating system, and the processor's microarchitecture.…

Performance · Computer Science 2018-11-21 Martin Becker , Samarjit Chakraborty

The article discusses the concept of hyperparametric optimization of recommendation algorithms using an integral assessment that combines various performance indicators into a single consolidated criterion. This approach is opposed to…

Machine Learning · Computer Science 2025-08-29 Roman S. Kulshin , Anatoly A. Sidorov

Multimodal learning leverages the integration of diverse data modalities to enhance performance in complex tasks. Yet, it frequently encounters incomplete or redundant modality data in real-world scenarios. This paper presents a…

Machine Learning · Computer Science 2026-05-05 Richeng Zhou , Xuelin Zhang , Liyuan Liu

Beginning with a historical account of the spectral classification, its refinement through additional criteria is presented. The line strengths and ratios used in two dimensional classifications of each spectral class are described. A…

Solar and Stellar Astrophysics · Physics 2015-05-18 Sunetra Giridhar

Methods of determination of constants of the Standard Model are considered. The constants values obtained now are presented and experiments for improving some values are pointed out. A few possible generalized models are considered together…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Khruschov
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