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In this paper a new mathematical procedure is presented for combining different pieces of evidence which are represented in the interval form to reflect our knowledge about the truth of a hypothesis. Evidences may be correlated to each…

Artificial Intelligence · Computer Science 2013-04-05 L. W. Chang , Rangasami L. Kashyap

A new combinatorial-probabilistic diagnostic entropy has been introduced. It describes the pair-wise sum of probabilities of system conditions that have to be distinguished during the diagnosing process. The proposed measure describes the…

Information Theory · Computer Science 2009-09-29 Henryk Borowczyk

This paper presents two schemes to jointly estimate parameters and states of discrete-time nonlinear systems in the presence of bounded disturbances and noise and where the parameters belong to a known compact set. The schemes are based on…

Optimization and Control · Mathematics 2022-03-23 T. J. Meijer , V. S. Dolk , M. S. Chong , R. Postoyan , B. de Jager , D. Nešić , W. P. M. H. Heemels

We propose a new sequential monitoring scheme for changes in the parameters of a multivariate time series. In contrast to procedures proposed in the literature which compare an estimator from the training sample with an estimator calculated…

Statistics Theory · Mathematics 2020-07-28 Josua Gösmann , Tobias Kley , Holger Dette

While the design of optimal peak-to-peak controllers/observers for linear systems is known to be a difficult problem, this problem becomes interestingly much easier in the context of interval observers because of the positive nature of the…

Optimization and Control · Mathematics 2016-08-01 Corentin Briat , Mustafa Khammash

Recently, we have demonstrated that our approach is a highly effective tool while analysing complex phenomena existing in networks of coupled nonlinear systems. In the present article we present the results of our investigations into a…

Dynamical Systems · Mathematics 2025-07-04 Volodymyr Denysenko , Artur Dabrowski

Conformal Prediction is a framework that produces prediction intervals based on the output from a machine learning algorithm. In this paper we explore the case when training data is made up of multiple parts available in different sources…

Machine Learning · Statistics 2019-08-16 Ola Spjuth , Robin Carrión Brännström , Lars Carlsson , Niharika Gauraha

In this study, we introduce a new approach to combine multi-classifiers in an ensemble system. Instead of using numeric membership values encountered in fixed combining rules, we construct interval membership values associated with each…

Machine Learning · Computer Science 2017-03-17 Tien Thanh Nguyen , Xuan Cuong Pham , Alan Wee-Chung Liew , Witold Pedrycz

In this article we present very intuitive, easy to follow, yet mathematically rigorous, approach to the so called data fitting process. Rather than minimizing the distance between measured and simulated data points, we prefer to find such…

Data Analysis, Statistics and Probability · Physics 2017-08-07 Marek W. Gutowski

The present work proposes the concept of induced percolation over multiple-object systems, so that features such as the number of merged clusters can be used as a relevant measurement. The suggested approach involves the expansion of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luciano da Fontoura Costa

High-dimensional changepoint inference that adapts to various change patterns has received much attention recently. We propose a simple, fast yet effective approach for adaptive changepoint testing. The key observation is that two…

Methodology · Statistics 2022-05-03 Guanghui Wang , Long Feng

Recently, the Multilinear Compressive Learning (MCL) framework was proposed to efficiently optimize the sensing and learning steps when working with multidimensional signals, i.e. tensors. In Compressive Learning in general, and in MCL in…

Computer Vision and Pattern Recognition · Computer Science 2020-09-23 Dat Thanh Tran , Moncef Gabbouj , Alexandros Iosifidis

In this paper, we address the challenging task of achieving multi-view dimensionality reduction. The goal is to effectively use the availability of multiple views for extracting a coherent low-dimensional representation of the data. The…

Machine Learning · Computer Science 2019-06-06 Ofir Lindenbaum , Arie Yeredor , Moshe Salhov , Amir Averbuch

We propose a new visual hierarchical representation paradigm for multi-object tracking. It is more effective to discriminate between objects by attending to objects' compositional visual regions and contrasting with the background…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Jinkun Cao , Jiangmiao Pang , Kris Kitani

Multiple imputation is a straightforward method for handling missing data in a principled fashion. This paper presents an overview of multiple imputation, including important theoretical results and their practical implications for…

Methodology · Statistics 2018-01-15 Jared S. Murray

In this article, we introduce the mean independent component analysis for multivariate time series to reduce the parameter space. In particular, we seek for a contemporaneous linear transformation that detects univariate mean independent…

Methodology · Statistics 2025-04-18 Chung Eun Lee , Zeda Li

Over the past decades, linear mixed models have attracted considerable attention in various fields of applied statistics. They are popular whenever clustered, hierarchical or longitudinal data are investigated. Nonetheless, statistical…

Methodology · Statistics 2021-09-20 Katarzyna Reluga , María José Lombardía , Stefan Andreas Sperlich

This paper systematically investigates the performance of consensus-based distributed filtering under mismatched noise covariances. First, we introduce three performance evaluation indices for such filtering problems,namely the standard…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Xiaoxu Lyu , Guanghui Wen , Ling Shi , Peihu Duan , Zhisheng Duan

The purpose of this paper is to propose methodologies for statistical inference of low-dimensional parameters with high-dimensional data. We focus on constructing confidence intervals for individual coefficients and linear combinations of…

Methodology · Statistics 2012-11-05 Cun-Hui Zhang , Stephanie S. Zhang

A vision system that can assess its own performance and take appropriate actions online to maximize its effectiveness would be a step towards achieving the long-cherished goal of imitating humans. This paper proposes a method for performing…

Computer Vision and Pattern Recognition · Computer Science 2015-10-20 Shoaib Ehsan , Adrian F. Clark , Klaus D. McDonald-Maier