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In this paper, we have established a unified framework of multistage parameter estimation. We demonstrate that a wide variety of statistical problems such as fixed-sample-size interval estimation, point estimation with error control,…

Statistics Theory · Mathematics 2013-11-05 Xinjia Chen

Multi-objective evaluation is a necessary aspect when managing complex systems, as the intrinsic complexity of a system is generally closely linked to the potential number of optimization objectives. However, an evaluation makes no sense…

Physics and Society · Physics 2016-08-03 Juste Raimbault

This paper presents a novel set-based computing method, called interval superposition arithmetic, for enclosing the image set of multivariate factorable functions on a given domain. In order to construct such enclosures, the proposed…

Numerical Analysis · Mathematics 2018-02-14 Yanlin Zha , Mario E. Villanueva , Boris Houska

A new interpoint distance-based measure is proposed to identify the optimal number of clusters present in a data set. Designed in nonparametric approach, it is independent of the distribution of given data. Interpoint distances between the…

Machine Learning · Computer Science 2022-10-18 Soumita Modak

A composite likelihood is a combination of low-dimensional likelihood objects useful in applications where the data have complex structure. Although composite likelihood construction is a crucial aspect influencing both computing and…

Methodology · Statistics 2022-04-26 Zhendong Huang , Davide Ferrari

A wide variety of complex systems are characterized by interactions of different types involving varying numbers of units. Multiplex hypergraphs serve as a tool to describe such structures, capturing distinct types of higher-order…

Physics and Society · Physics 2024-09-10 Quintino Francesco Lotito , Alberto Montresor , Federico Battiston

This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

Methodology · Statistics 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

Composite indicators are widely used to score or classify units evaluated on multiple criteria. Their construction typically involves aggregating criteria evaluations, a common practice in Multiple Criteria Decision Aiding (MCDA). Beyond…

Machine Learning · Computer Science 2026-03-04 Salvatore Corrente , Salvatore Greco , Roman Słowiński , Silvano Zappalà

Multivariate time series analysis is a vital but challenging task, with multidisciplinary applicability, tackling the characterization of multiple interconnected variables over time and their dependencies. Traditional methodologies often…

Social and Information Networks · Computer Science 2026-02-03 Vanessa Freitas Silva , Maria Eduarda Silva , Pedro Ribeiro , Fernando Silva

Distributed compressive sensing is a framework considering jointly sparsity within signal ensembles along with multiple measurement vectors (MMVs). The current theoretical bound of performance for MMVs, however, is derived to be the same…

Information Theory · Computer Science 2016-09-12 Sung-Hsien Hsieh , Wei-Jie Liang , Chun-Shien Lu , Soo-Chang Pei

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

Machine learning tools have empowered a qualitatively new way to perform differential cross section measurements whereby the data are unbinned, possibly in many dimensions. Unbinned measurements can enable, improve, or at least simplify…

A method is discussed that allows combining sets of differential or inclusive measurements. It is assumed that at least one measurement was obtained with simultaneously fitting a set of nuisance parameters, representing sources of…

Data Analysis, Statistics and Probability · Physics 2018-01-09 Jan Kieseler

The input data features set for many data driven tasks is high-dimensional while the intrinsic dimension of the data is low. Data analysis methods aim to uncover the underlying low dimensional structure imposed by the low dimensional hidden…

Machine Learning · Computer Science 2019-01-30 Moshe Salhov , Ofir Lindenbaum , Yariv Aizenbud , Avi Silberschatz , Yoel Shkolnisky , Amir Averbuch

Missing value is a very common and unavoidable problem in sensors, and researchers have made numerous attempts for missing value imputation, particularly in deep learning models. However, for real sensor data, the specific data distribution…

Machine Learning · Computer Science 2022-09-27 JinSheng Yang , YuanHai Shao , ChunNa Li , Wensi Wang

This article deals with the analysis of high dimensional data that come from multiple sources (experiments) and thus have different possibly correlated responses, but share the same set of predictors. The measurements of the predictors may…

Methodology · Statistics 2020-07-01 Guorong Dai , Ursula U. Müller , Raymond J. Carroll

Proposed is a new formal approach for solution of extreme multi-criteria problems transforming them into single-criterion mathematical models, without any additional information. Transforming rules are based on comparison standards and…

Optimization and Control · Mathematics 2007-05-23 V. O. Groppen

A systematic procedure to synthesize interval observers for nonlinear discrete-time systems is proposed. The feedback gains and other matrices are found from the solutions to semidefinite feasibility programs. Two cases are considered: (1)…

Optimization and Control · Mathematics 2020-11-10 Adam M Tahir , Behcet Acikmese

Modern data collecting methods and computation tools have made it possible to monitor high-dimensional processes. In this article, Phase II monitoring of high-dimensional processes is investigated when the available number of samples…

Methodology · Statistics 2023-01-24 Mohsen Ebadi , Shojaeddin Chenouri , Stefan H. Steiner

This paper introduces a novel recursive distributed estimation algorithm aimed at synthesizing input and state interval observers for nonlinear bounded-error discrete-time multi-agent systems. The considered systems have sensors and…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Mohammad Khajenejad , Scott Brown , Sonia Martinez
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