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Motivated by differential co-expression analysis in genomics, we consider in this paper estimation and testing of high-dimensional differential correlation matrices. An adaptive thresholding procedure is introduced and theoretical…

Methodology · Statistics 2015-10-22 T. Tony Cai , Anru Zhang

Despite the ubiquity of kernel-based clustering, surprisingly few statistical guarantees exist beyond settings that consider strong structural assumptions on the data generation process. In this work, we take a step towards bridging this…

Machine Learning · Computer Science 2021-10-19 Leena Chennuru Vankadara , Sebastian Bordt , Ulrike von Luxburg , Debarghya Ghoshdastidar

We consider imaging of fast moving small objects in space, such as low earth orbit satellites. The imaging system consists of ground based, asynchronous sources of radiation and several passive receivers above the dense atmosphere. We use…

Signal Processing · Electrical Eng. & Systems 2020-03-03 Matan Leibovich , George Papanicolaou , Chrysoula Tsogka

Objective: To develop an automatic image normalization algorithm for intensity correction of images from breast dynamic contrast-enhanced magnetic resonance imaging (DCE-MRI) acquired by different MRI scanners with various imaging…

Computer Vision and Pattern Recognition · Computer Science 2018-07-09 Jun Zhang , Ashirbani Saha , Brian J. Soher , Maciej A. Mazurowski

We present a scalable Bayesian framework for the analysis of confocal fluorescence spectroscopy data, addressing key limitations in traditional fluorescence correlation spectroscopy methods. Our framework captures molecular motion,…

Numerical Analysis · Mathematics 2024-11-07 Daniel McBride , Ioannis Sgouralis

We propose a novel class of kernels to alleviate the high computational cost of large-scale nonparametric learning with kernel methods. The proposed kernel is defined based on a hierarchical partitioning of the underlying data domain, where…

Machine Learning · Computer Science 2017-08-15 Jie Chen , Haim Avron , Vikas Sindhwani

Bias in datasets can be very detrimental for appropriate statistical estimation. In response to this problem, importance weighting methods have been developed to match any biased distribution to its corresponding target unbiased…

Machine Learning · Computer Science 2022-09-12 Antoine de Mathelin , Francois Deheeger , Mathilde Mougeot , Nicolas Vayatis

Neutrino cross-section measurements are often presented as unfolded binned distributions in "true" variables. The ill-posedness of the unfolding problem can lead to results with strong anti-correlations and fluctuations between bins, which…

High Energy Physics - Experiment · Physics 2025-04-28 Lukas Koch

Joint image filters are used to transfer structural details from a guidance picture used as a prior to a target image, in tasks such as enhancing spatial resolution and suppressing noise. Previous methods based on convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Beomjun Kim , Jean Ponce , Bumsub Ham

A randomized algorithm for computing a data sparse representation of a given rank structured matrix $A$ (a.k.a. an $H$-matrix) is presented. The algorithm draws on the randomized singular value decomposition (RSVD), and operates under the…

Numerical Analysis · Mathematics 2024-06-25 James Levitt , Per-Gunnar Martinsson

For data-driven iterative learning control (ILC) methods, both the model estimation and controller design problems are converted to parameter estimation problems for some chosen model structures. It is well-known that if the model order is…

Systems and Control · Electrical Eng. & Systems 2023-03-08 Xian Yu , Xiaozhu Fang , Biqiang Mu , Tianshi Chen

In this paper, we present a kernel subspace clustering method that can handle non-linear models. In contrast to recent kernel subspace clustering methods which use predefined kernels, we propose to learn a low-rank kernel matrix, with which…

Computer Vision and Pattern Recognition · Computer Science 2019-01-28 Pan Ji , Ian Reid , Ravi Garg , Hongdong Li , Mathieu Salzmann

This paper investigates the post-hoc calibration of confidence for "exploratory" machine learning classification problems. The difficulty in these problems stems from the continuing desire to push the boundaries of which categories have…

We review current methods for building PSF-matching kernels for the purposes of image subtraction or coaddition. Such methods use a linear decomposition of the kernel on a series of basis functions. The correct choice of these basis…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 A. C. Becker , D. Homrighausen , A. J. Connolly , C. R. Genovese , R. Owen , S. J. Bickerton , R. H. Lupton

Most of the classical denoising methods restore clear results by selecting and averaging pixels in the noisy input. Instead of relying on hand-crafted selecting and averaging strategies, we propose to explicitly learn this process with deep…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Xiangyu Xu , Muchen Li , Wenxiu Sun

A unified framework for analyzing generalized synchronization in coupled chaotic systems from data is proposed. The key of the proposed approach is the use of the kernel methods recently developed in the field of machine learning. Several…

Chaotic Dynamics · Physics 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara

In this paper, a new variant of an algorithm for normalized cross-correlation (NCC) is proposed in the context of template matching in images. The proposed algorithm is based on the precomputation of a template image approximation, enabling…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Davor Marušić , Siniša Popović , Zoran Kalafatić

Conformal Prediction (CP) is a popular framework for constructing prediction bands with valid coverage in finite samples, while being free of any distributional assumption. A well-known limitation of conformal prediction is the lack of…

Machine Learning · Computer Science 2025-05-28 Louis Allain , Sébastien da Veiga , Brian Staber

Spectral clustering and diffusion maps are celebrated dimensionality reduction algorithms built on eigen-elements related to the diffusive structure of the data. The core of these procedures is the approximation of a Laplacian through a…

Machine Learning · Statistics 2023-02-15 Loucas Pillaud-Vivien , Francis Bach

We address the problem of upsampling a low-resolution (LR) depth map using a registered high-resolution (HR) color image of the same scene. Previous methods based on convolutional neural networks (CNNs) combine nonlinear activations of…

Computer Vision and Pattern Recognition · Computer Science 2019-03-28 Beomjun Kim , Jean Ponce , Bumsub Ham
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