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In this article, we extend our previous work (Applicable Analysis, 2024, pp. 1-25) on the steepest descent method for uncertain multiobjective optimization problems. While that study established local convergence, it did not address global…

Optimization and Control · Mathematics 2025-03-11 Shubham Kumar , Nihar Kumar Mahato , Debdas Ghosh

Under the null hypothesis, the marginal probability of the positive response is symmetric at any specified correlated coefficient, and the discordance probability is also symmetric to the positive response probability. The marginal…

Methodology · Statistics 2022-11-11 Guanghui Huang

Trustworthy machine learning is of primary importance to the practical deployment of deep learning models. While state-of-the-art models achieve astonishingly good performance in terms of accuracy, recent literature reveals that their…

Machine Learning · Computer Science 2023-02-07 Ailin Deng , Shen Li , Miao Xiong , Zhirui Chen , Bryan Hooi

In this paper, we propose several statistics for testing uniformity under progressive Type-I interval censoring. We obtain the critical points of these statistics and study the power of the proposed tests against a representative set of…

Statistics Theory · Mathematics 2017-04-25 H. Nadeb , H. Torabi , G. G. Hamedani

This paper addresses the problem of measurement errors in causal inference and highlights several algebraic and graphical methods for eliminating systematic bias induced by such errors. In particulars, the paper discusses the control of…

Methodology · Statistics 2012-03-19 Judea Pearl

This paper considers inference in a linear instrumental variable regression model with many potentially weak instruments, in the presence of heterogeneous treatment effects. I first show that existing test procedures, including those that…

Econometrics · Economics 2025-04-24 Luther Yap

This chapter presents an introduction to robust statistics with applications of a chemometric nature. Following a description of the basic ideas and concepts behind robust statistics, including how robust estimators can be conceived, the…

Methodology · Statistics 2020-07-01 Peter Filzmoser , Sven Serneels , Ricardo Maronna , Christophe Croux

We investigate the problem of scanning and prediction ("scandiction", for short) of multidimensional data arrays. This problem arises in several aspects of image and video processing, such as predictive coding, for example, where an image…

Information Theory · Computer Science 2007-07-13 Asaf Cohen , Neri Merhav , Tsachy Weissman

In this paper, we focus on testing multivariate normality using the BHEP test with data that are missing completely at random. Our objective is twofold: first, to gain insight into the asymptotic behavior of BHEP test statistics under two…

Methodology · Statistics 2024-04-11 Danijel Aleksić , Bojana Milošević

1. Parameter inference from distorted measurements is discussed. 2. Smeared measurements are unfolded without explicit regularization. The corresponding results are unbiased and permit to fit parameters and to apply quantitative…

Data Analysis, Statistics and Probability · Physics 2016-07-26 Guenter Zech

Accurate facial expression analysis is an essential step in various clinical applications that involve physical and mental health assessments of older adults (e.g. diagnosis of pain or depression). Although remarkable progress has been…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Azin Asgarian , Shun Zhao , Ahmed B. Ashraf , M. Erin Browne , Kenneth M. Prkachin , Alex Mihailidis , Thomas Hadjistavropoulos , Babak Taati

The blind deconvolution problem seeks to recover a pair of vectors from a set of rank one bilinear measurements. We consider a natural nonsmooth formulation of the problem and show that under standard statistical assumptions, its moduli of…

Optimization and Control · Mathematics 2019-01-21 Vasileios Charisopoulos , Damek Davis , Mateo Díaz , Dmitriy Drusvyatskiy

The rising interest in pattern recognition and data analytics has spurred the development of innovative machine learning algorithms and tools. However, as each algorithm has its strengths and limitations, one is motivated to judiciously…

Machine Learning · Statistics 2018-07-31 Panagiotis A. Traganitis , Alba Pagès-Zamora , Georgios B. Giannakis

Experimenters often collect baseline data to study heterogeneity. I propose the first valid confidence intervals for the VCATE, the treatment effect variance explained by observables. Conventional approaches yield incorrect coverage when…

Econometrics · Economics 2023-06-07 Alejandro Sanchez-Becerra

Positivity is one of the three conditions for causal inference from observational data. The standard way to validate positivity is to analyze the distribution of propensity. However, to democratize the ability to do causal inference by…

Machine Learning · Computer Science 2021-11-09 Guy Wolf , Gil Shabat , Hanan Shteingart

This paper proposes novel methods to test for simultaneous diagonalization of possibly asymmetric matrices. Motivated by various applications, a two-sample test as well as a generalization for multiple matrices are proposed. A partial…

Methodology · Statistics 2025-08-26 Yuchen Xu , Marie-Christine Düker , David S. Matteson

In this paper, we study the problem of `test-driving' a detector, i.e. allowing a human user to get a quick sense of how well the detector generalizes to their specific requirement. To this end, we present the first system that estimates…

Computer Vision and Pattern Recognition · Computer Science 2014-06-24 Rushil Anirudh , Pavan Turaga

Blind gain and phase calibration (BGPC) is a structured bilinear inverse problem, which arises in many applications, including inverse rendering in computational relighting (albedo estimation with unknown lighting), blind phase and gain…

Information Theory · Computer Science 2016-11-03 Yanjun Li , Kiryung Lee , Yoram Bresler

The numerical analysis for the small amplitude motion of an elastic beam with internal damping is investigated in domain with moving ends. An efficient numerical method is constructed to solve this moving boundary problem. The stability and…

Numerical Analysis · Mathematics 2019-07-05 Natanael Quintino , Mauro Rincon

The practical implementation of maximum likelihood detection is limited by its high complexity as well as requiring perfect channel state information. Although conventional blind detection techniques reduce complexity, they degrade…

Signal Processing · Electrical Eng. & Systems 2019-09-12 M. A. Amirabadi
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