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There has been a wide interest to extend univariate and multivariate nonparametric procedures to clustered and hierarchical data. Traditionally, parametric mixed models have been used to account for the correlation structures among the…

Statistics Theory · Mathematics 2018-03-02 Jaakko Nevalainen , Denis Larocque , Hannu Oja , Ilkka Pörsti

We present an effective method for the matching of multimodal images. Accurate image matching is the basis of various applications, such as image registration and structure from motion. Conventional matching methods fail when handling noisy…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Zhongli Fan , Li Zhang , Yuxuan Liu

It is now practically the norm for data to be very high dimensional in areas such as genetics, machine vision, image analysis and many others. When analyzing such data, parametric models are often too inflexible while nonparametric…

Methodology · Statistics 2011-05-31 Abhishek Bhattacharya , Garritt Page , David Dunson

We present a combined theoretical and experimental study of X-ray optical wave mixing. This class of nonlinear phenomena combines the strengths of spectroscopic techniques from the optical domain, with the high-resolution capabilities of…

Mutational signatures are patterns of somatic mutations in tumor genomes that provide insights into underlying mutagenic processes and cancer origin. Developing reliable methods for their estimation is of growing importance in cancer…

Applications · Statistics 2025-02-04 Blake Hansen , Isabella N. Grabski , Giovanni Parmigiani , Roberta De Vito

Genetic risk prediction is an important component of individualized medicine, but prediction accuracies remain low for many complex diseases. A fundamental limitation is the sample sizes of the studies on which the prediction algorithms are…

Methodology · Statistics 2017-06-20 Sihai Dave Zhao

Motivated by problems in data clustering, we establish general conditions under which families of nonparametric mixture models are identifiable, by introducing a novel framework involving clustering overfitted \emph{parametric} (i.e.…

Statistics Theory · Mathematics 2020-02-19 Bryon Aragam , Chen Dan , Eric P. Xing , Pradeep Ravikumar

We present a nonparametric method for selecting informative features in high-dimensional clustering problems. We start with a screening step that uses a test for multimodality. Then we apply kernel density estimation and mode clustering to…

Statistics Theory · Mathematics 2014-06-10 Larry Wasserman , Martin Azizyan , Aarti Singh

Experiments often yield non-identically distributed data for statistical analysis. Tests of hypothesis under such set-ups are generally performed using the likelihood ratio test, which is non-robust with respect to outliers and model…

Statistics Theory · Mathematics 2017-07-25 Abhik Ghosh , Ayanendranath Basu

We develop a mathematical and numerical framework to solve state estimation problems for applications that present variations in the shape of the spatial domain. This situation arises typically in a biomedical context where inverse problems…

Numerical Analysis · Mathematics 2023-03-14 Felipe Galarce , Damiano Lombardi , Olga Mula

Voxel-based analysis methods localize brain structural differences by performing voxel-wise statistical comparisons on two groups of images aligned to a common space. This procedure requires highly accurate registration as well as a…

Mixed linear models are commonly used in repeated measures studies. They account for the dependence amongst observations obtained from the same experimental unit. Oftentimes, the number of observations is small, and it is thus important to…

Methodology · Statistics 2011-08-05 Tatiane F. N. Melo , Silvia L. P. Ferrari , Francisco Cribari-Neto

So-called linear rank statistics provide a means for distribution-free (even in finite samples), yet highly flexible, two-sample testing in the setting of univariate random variables. Their flexibility derives from a choice of weights that…

Methodology · Statistics 2023-10-03 Dan D. Erdmann-Pham

We propose a new methodology for selecting and ranking covariates associated with a variable of interest in a context of high-dimensional data under dependence but few observations. The methodology successively intertwines the clustering of…

In linear regression models with non-Gaussian errors, transformations of the response variable are widely used in a broad range of applications. Motivated by various genetic association studies, transformation methods for hypothesis testing…

Methodology · Statistics 2025-07-10 Yaowu Liu , Tianying Wang

The development of parsimonious models for reliable inference and prediction of responses in high-dimensional regression settings is often challenging due to relatively small sample sizes and the presence of complex interaction patterns…

Methodology · Statistics 2016-04-15 Subharup Guha , Veerabhadran Baladandayuthapani

Advances in deep learning for natural images have prompted a surge of interest in applying similar techniques to medical images. The majority of the initial attempts focused on replacing the input of a deep convolutional neural network with…

Computer Vision and Pattern Recognition · Computer Science 2018-06-29 Krzysztof J. Geras , Stacey Wolfson , Yiqiu Shen , Nan Wu , S. Gene Kim , Eric Kim , Laura Heacock , Ujas Parikh , Linda Moy , Kyunghyun Cho

The simultaneous estimation of multiple unknown parameters lies at heart of a broad class of important problems across science and technology. Currently, the state-of-the-art performance in the such problems is achieved by nonparametric…

Statistics Theory · Mathematics 2023-05-30 Alton Barbehenn , Sihai Dave Zhao

Empirical Bayes methods offer valuable tools for a large class of compound decision problems. In this tutorial we describe some basic principles of the empirical Bayes paradigm stressing their frequentist interpretation. Emphasis is placed…

Methodology · Statistics 2024-04-05 Roger Koenker , Jiaying Gu

Combining the increasing availability and abundance of healthcare data and the current advances in machine learning methods have created renewed opportunities to improve clinical decision support systems. However, in healthcare risk…

Machine Learning · Statistics 2021-06-17 Zidi Xiu , Chenyang Tao , Michael Gao , Connor Davis , Benjamin A. Goldstein , Ricardo Henao