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Non-orthogonal joint diagonalization (NJD) free of prewhitening has been widely studied in the context of blind source separation (BSS) and array signal processing, etc. However, NJD is used to retrieve the jointly diagonalizable structure…

Machine Learning · Statistics 2015-02-13 Xiao-Feng Gong , Xiu-Lin Wang , Qiu-Hua Lin

Many problems in robotics, such as estimating the state from noisy sensor data or aligning two point clouds, can be posed and solved as least-squares problems. Unfortunately, vanilla nonminimal solvers for least-squares problems are…

Robotics · Computer Science 2024-07-31 Kyungmin Jung , Thomas Hitchcox , James Richard Forbes

In different fields of applications including, but not limited to, behavioral, environmental, medical sciences and econometrics, the use of panel data regression models has become increasingly popular as a general framework for making…

Methodology · Statistics 2020-05-15 Beste Hamiye Beyaztas , Soutir Bandyopadhyay

A cumbersome operation in numerical analysis and linear algebra, optimization, machine learning and engineering algorithms; is inverting large full-rank matrices which appears in various processes and applications. This has both numerical…

Numerical Analysis · Mathematics 2022-06-24 Neophytos Charalambides , Mert Pilanci , Alfred O. Hero

Designing deep neural network classifiers that perform robustly on distributions differing from the available training data is an active area of machine learning research. However, out-of-distribution generalization for regression-the…

Machine Learning · Computer Science 2024-01-01 Benjamin Eyre , Elliot Creager , David Madras , Vardan Papyan , Richard Zemel

National statistical institutes in many countries are now mandated to produce reliable statistics for important variables such as population, income, unemployment, health outcomes, etc. for small areas, defined by geography and/or…

Methodology · Statistics 2018-10-29 Adrijo Chakraborty , Gauri Sankar Datta , Abhyuday Mandal

This paper addresses the problem of localization, which is inherently non-convex and non-smooth in a federated setting where the data is distributed across a multitude of devices. Due to the decentralized nature of federated environments,…

Machine Learning · Computer Science 2023-09-04 Reza Mirzaeifard , Naveen K. D. Venkategowda , Stefan Werner

Deep neural networks (DNNs) deployed in real-world applications can encounter out-of-distribution (OOD) data and adversarial examples. These represent distinct forms of distributional shifts that can significantly impact DNNs' reliability…

Machine Learning · Computer Science 2024-04-09 Naveen Karunanayake , Ravin Gunawardena , Suranga Seneviratne , Sanjay Chawla

Out-of-distribution (OOD) detection is a critical issue for the stable and reliable operation of systems using a deep neural network (DNN). Although many OOD detection methods have been proposed, it remains unclear how the differences…

Machine Learning · Computer Science 2024-10-30 Kazuki Uematsu , Kosuke Haruki , Taiji Suzuki , Mitsuhiro Kimura , Takahiro Takimoto , Hideyuki Nakagawa

The present study proposes incorporating non-parametric knowledge into the diffusion least-mean-squares algorithm in the framework of a maximum a posteriori (MAP) estimation. The proposed algorithm leads to a robust estimation of an unknown…

Machine Learning · Computer Science 2023-12-05 Soheil Ashkezari-Toussi , Hadi sadoghi-Yazdi

Recent work has demonstrated the effectiveness of gradient descent for directly recovering the factors of low-rank matrices from random linear measurements in a globally convergent manner when initialized properly. However, the performance…

Information Theory · Computer Science 2017-09-26 Yuanxin Li , Yuejie Chi , Huishuai Zhang , Yingbin Liang

Separable nonlinear least squares (SNLS)problem is a special class of nonlinear least squares (NLS)problems, whose objective function is a mixture of linear and nonlinear functions. It has many applications in many different areas,…

Computational Geometry · Computer Science 2016-11-17 Wajeb Gharibi , Omar Saeed Al-Mushayt

This study deals with the problem of outliers in ordinal response model, which is a regression on ordered categorical data as the response variable. ``Outlier" means that the combination of ordered categorical data and its covariates is…

Methodology · Statistics 2022-12-29 Tomotaka Momozaki , Tomoyuki Nakagawa

This paper develops a robust dynamic mode decomposition (RDMD) method endowed with statistical and numerical robustness. Statistical robustness ensures estimation efficiency at the Gaussian and non-Gaussian probability distributions,…

Methodology · Statistics 2022-07-08 Amir Hossein Abolmasoumi , Marcos Netto , Lamine Mili

A sensor network is considered where at each sensor a sequence of random variables is observed. At each time step, a processed version of the observations is transmitted from the sensors to a common node called the fusion center. At some…

Statistics Theory · Mathematics 2023-07-19 Taposh Banerjee , Venugopal V. Veeravalli

Nonparametric methods are widely applicable to statistical inference problems, since they rely on a few modeling assumptions. In this context, the fresh look advocated here permeates benefits from variable selection and compressive…

Machine Learning · Statistics 2015-03-19 Gonzalo Mateos , Georgios B. Giannakis

Blind Source Separation is a widely used technique to analyze multichannel data. In many real-world applications, its results can be significantly hampered by the presence of unknown outliers. In this paper, a novel algorithm coined rGMCA…

Applications · Statistics 2016-04-26 Cecile Chenot , Jerome Bobin , Jeremy Rapin

We propose an inlier-based outlier detection method capable of both identifying the outliers and explaining why they are outliers, by identifying the outlier-specific features. Specifically, we employ an inlier-based outlier detection…

Machine Learning · Statistics 2017-02-22 Makoto Yamada , Song Liu , Samuel Kaski

Real-world network applications must cope with failing nodes, malicious attacks, or nodes facing corrupted data - data classified as outliers. Our work addresses these concerns in the scope of the sensor network localization problem where,…

Optimization and Control · Mathematics 2021-10-05 Claudia Soares , João Gomes

A novel linear blind adaptive receiver based on joint iterative optimization (JIO) and the constrained constant modulus (CCM) design criterion is proposed for interference suppression in direct-sequence ultra-wideband (DS-UWB) systems. The…

Information Theory · Computer Science 2013-05-15 Sheng Li , Rodrigo C. de Lamare
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