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A new dimension reduction (DR) method for data sets is proposed by autonomous deforming of data manifolds. The deformation is guided by the proposed deforming vector field, which is defined by two kinds of virtual interactions between data…

Machine Learning · Computer Science 2021-10-22 Xiaodong Zhuang

We propose a computationally efficient method to construct nonparametric, heteroscedastic prediction bands for uncertainty quantification, with or without any user-specified predictive model. Our approach provides an alternative to the…

Machine Learning · Statistics 2023-01-18 Tengyuan Liang

In real-world scenarios, many data processing problems often involve heterogeneous images associated with different imaging modalities. Since these multimodal images originate from the same phenomenon, it is realistic to assume that they…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Pingfan Song , Miguel R. D. Rodrigues

This paper introduces a novel unsupervised approach for image deblurring that utilizes a simple process for training data collection, thereby enhancing the applicability and effectiveness of deblurring methods. Our technique does not…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Bang-Dang Pham , Anh Tran , Cuong Pham , Minh Hoai

We propose a method that performs anomaly detection and localisation within heterogeneous data using a pairwise undirected mixed graphical model. The data are a mixture of categorical and quantitative variables, and the model is learned…

Machine Learning · Statistics 2016-07-21 Romain Laby , François Roueff , Alexandre Gramfort

Large intra-class variation is the result of changes in multiple object characteristics. Images, however, only show the superposition of different variable factors such as appearance or shape. Therefore, learning to disentangle and…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Dominik Lorenz , Leonard Bereska , Timo Milbich , Björn Ommer

We present uLayout, a unified model for estimating room layout geometries from both perspective and panoramic images, whereas traditional solutions require different model designs for each image type. The key idea of our solution is to…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Jonathan Lee , Bolivar Solarte , Chin-Hsuan Wu , Jin-Cheng Jhang , Fu-En Wang , Yi-Hsuan Tsai , Min Sun

We consider sequential and parallel decomposition methods for a dual problem of a general total variation minimization problem with applications in several image processing tasks, like image inpainting, estimation of optical flow and…

Numerical Analysis · Mathematics 2022-11-02 Stephan Hilb , Andreas Langer

We present a methodology for parallel acceleration of learning in the presence of matrix orthogonality and unitarity constraints of interest in several branches of machine learning. We show how an apparently sequential elementary rotation…

Machine Learning · Computer Science 2021-06-02 Firas Hamze

A data matrix may be seen simply as a means of organizing observations into rows ( e.g., by measured object) and into columns ( e.g., by measured variable) so that the observations can be analyzed with mathematical tools. As a mathematical…

Other Statistics · Statistics 2019-01-08 Max Robinson

By adding human-imperceptible perturbations to images, DNNs can be easily fooled. As one of the mainstream methods, feature space targeted attacks perturb images by modulating their intermediate feature maps, for the discrepancy between the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Lianli Gao , Yaya Cheng , Qilong Zhang , Xing Xu , Jingkuan Song

Given a graph with positive and negative edge labels, the correlation clustering problem aims to cluster the nodes so to minimize the total number of between-cluster positive and within-cluster negative edges. This problem has many…

Data Structures and Algorithms · Computer Science 2024-06-17 Mina Dalirrooyfard , Konstantin Makarychev , Slobodan Mitrović

With steadily increasing parallelism for high-performance architectures, simulations requiring a good strong scalability are prone to be limited in scalability with standard spatial-decomposition strategies at a certain amount of parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-01 Martin Schreiber , Adam Peddle , Terry Haut , Beth Wingate

One approach to achieving correct finite element assembly is to ensure that the local orientation of facets relative to each cell in the mesh is consistent with the global orientation of that facet. Rognes et al. have shown how to achieve…

Mathematical Software · Computer Science 2016-11-17 Miklós Homolya , David A. Ham

Multiexponential modeling of relaxation or diffusion MR signal decays is a popular approach for estimating and spatially mapping different microstructural tissue compartments. While this approach can be quite powerful, it is also limited by…

Image and Video Processing · Electrical Eng. & Systems 2019-05-10 Daeun Kim , Jessica L. Wisnowski , Christopher T. Nguyen , Justin P. Haldar

Information visualization is essential in making sense out of large data sets. Often, high-dimensional data are visualized as a collection of points in 2-dimensional space through dimensionality reduction techniques. However, these…

Computational Geometry · Computer Science 2009-07-16 Emden R. Gansner , Yifan Hu , Stephen G. Kobourov

Patterns in temporal data can often be found across different scales, such as days, weeks, and months, making effective visualization of time-based data challenging. Here we propose a new approach for providing focus and context in…

Human-Computer Interaction · Computer Science 2020-06-16 Bryce Morrow , Trevor Manz , Arlene E. Chung , Nils Gehlenborg , David Gotz

It is quite common for functional data arising from imaging data to assume values in infinite-dimensional manifolds. Uncovering associations between two or more such nonlinear functional data extracted from the same object across medical…

Methodology · Statistics 2021-09-27 Min Ho Cho , Sebastian Kurtek , Karthik Bharath

All-pairs similarity problem asks to find all vector pairs in a set of vectors the similarities of which surpass a given similarity threshold, and it is a computational kernel in data mining and information retrieval for several tasks. We…

Information Retrieval · Computer Science 2014-02-14 Eray Özkural , Cevdet Aykanat

Data uniformity is a concept associated with several semantic data characteristics such as lack of features, correlation and sample bias. This article introduces a novel measure to assess data uniformity and detect uniform pointsets on…

Computational Geometry · Computer Science 2020-04-14 Panagiotis Sidiropoulos