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Surface normal integration is a fundamental problem in computer vision, dealing with the objective of reconstructing a surface from its corresponding normal map. Existing approaches require an iterative global optimization to jointly…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Francesco Milano , Jen Jen Chung , Lionel Ott , Roland Siegwart

Counting problems, determining the number of possible states of a large system under certain constraints, play an important role in many areas of science. They naturally arise for complex disordered systems in physics and chemistry, in…

Statistical Mechanics · Physics 2009-05-15 Marc Timme , Frank van Bussel , Denny Fliegner , Sebastian Stolzenberg

The need to blend observational data and mathematical models arises in many applications and leads naturally to inverse problems. Parameters appearing in the model, such as constitutive tensors, initial conditions, boundary conditions, and…

Statistics Theory · Mathematics 2010-09-16 J. Nolen , G. A. Pavliotis , A. M. Stuart

The visualization of multi-dimensional data with interpretable methods remains limited by capabilities for both high-dimensional lossless visualizations that do not suffer from occlusion and that are computationally capable by parameterized…

Human-Computer Interaction · Computer Science 2025-07-25 Alice Williams , Boris Kovalerchuk

Principal component analysis is a useful dimension reduction and data visualization method. However, in high dimension, low sample size asymptotic contexts, where the sample size is fixed and the dimension goes to infinity,a paradox has…

Applications · Statistics 2012-11-21 Dan Shen , Haipeng Shen , Hongtu Zhu , J. S. Marron

The use of brain images as markers for diseases or behavioral differences is challenged by the small effects size and the ensuing lack of power, an issue that has incited researchers to rely more systematically on large cohorts. Coupled…

Machine Learning · Statistics 2015-11-17 Bertrand Thirion , Andrés Hoyos-Idrobo , Jonas Kahn , Gael Varoquaux

We investigate the parallel one-level overlapping Schwarz method for solving finite element discretization of high-frequency Helmholtz equations. The resulting linear systems are large, indefinite, ill-conditioned, and complex-valued. We…

Numerical Analysis · Mathematics 2026-02-03 Yan Xie , Shihua Gong , Ivan G. Graham , Euan A. Spence , Chen-Song Zhang

The generalized method to have a parallel solution to a computational problem, is to find a way to use Divide & Conquer paradigm in order to have processors acting on its own data and therefore all can be scheduled in parallel. MapReduce is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-13 Julián Aráoz , Cristina Zoltan

Detector counting rate nonlinearity, though a known problem, is commonly ignored in the analysis of angle resolved photoemission spectroscopy where modern multichannel electron detection schemes using analog intensity scales are used. We…

Instrumentation and Detectors · Physics 2015-05-12 T. J. Reber , N. C. Plumb , J. A. Waugh , D. S. Dessau

Scatterplot selection is an effective approach to represent essential portions of multidimensional data in a limited display space. Various metrics for evaluation of scatterplots such as scagnostics have been presented and applied to…

Human-Computer Interaction · Computer Science 2020-09-17 Takayuki Itoh , Asuka Nakabayashi , Mariko Hagita

Object Tracking is one important problem in computer vision and surveillance system. The existing models mainly exploit the single-view feature (i.e. color, texture, shape) to solve the problem, failing to describe the objects…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Jing Zhang , Yonggong Ren

The last decade has witnessed an explosion in the development of models, theory and computational algorithms for "big data" analysis. In particular, distributed computing has served as a natural and dominating paradigm for statistical…

Machine Learning · Statistics 2018-11-02 Bayan Saparbayeva , Michael Minyi Zhang , Lizhen Lin

A novel solution to the smoothing problem for multi-object dynamical systems is proposed and evaluated. The systems of interest contain an unknown and varying number of dynamical objects that are partially observed under noisy and corrupted…

Computation · Statistics 2020-09-08 Jeremie Houssineau , Jiajie Zeng , Ajay Jasra

Usage of multiprocessor and multicore computers implies parallel programming. Tools for preparing parallel programs include parallel languages and libraries as well as parallelizing compilers and convertors that can perform automatic…

Mathematical Software · Computer Science 2022-12-12 Pavel Telegin , Anton Baranov , Boris Shabanov , Artem Tikhomirov

We develop a novel parallel decomposition strategy for unweighted, undirected graphs, based on growing disjoint connected clusters from batches of centers progressively selected from yet uncovered nodes. With respect to similar previous…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-09 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Eli Upfal

Coupled tensor approximation has recently emerged as a promising approach for the fusion of hyperspectral and multispectral images, reconciling state of the art performance with strong theoretical guarantees. However, tensor-based…

Signal Processing · Electrical Eng. & Systems 2021-04-21 Ricardo Augusto Borsoi , Clémence Prévost , Konstantin Usevich , David Brie , José Carlos Moreira Bermudez , Cédric Richard

Multiscale methods for second order elliptic equations based on non-overlapping domain decomposition schemes have great potential to take advantage of multi-core, state-of-the-art parallel computers. These methods typically involve solving…

Numerical Analysis · Mathematics 2020-09-18 E. Abreu , P. Ferraz , A. M. Espírito Santo , F. Pereira , L. G. C. Santos , F. S. Sousa

Purpose: To introduce a novel deep learning based approach for fast and high-quality dynamic multi-coil MR reconstruction by learning a complementary time-frequency domain network that exploits spatio-temporal correlations simultaneously…

Image and Video Processing · Electrical Eng. & Systems 2021-06-21 Chen Qin , Jinming Duan , Kerstin Hammernik , Jo Schlemper , Thomas Küstner , René Botnar , Claudia Prieto , Anthony N. Price , Joseph V. Hajnal , Daniel Rueckert

A panoply of multi-view clustering algorithms has been developed to deal with prevalent multi-view data. Among them, spectral clustering-based methods have drawn much attention and demonstrated promising results recently. Despite progress,…

Machine Learning · Computer Science 2019-09-17 Zhao Kang , Guoxin Shi , Shudong Huang , Wenyu Chen , Xiaorong Pu , Joey Tianyi Zhou , Zenglin Xu

Graph colorings have been of interest to mathematicians for a long time, but relatively recently, social scientists have also found them to be interesting tools for studying group behavior. In the last 20 years, scientists have begun to…

Combinatorics · Mathematics 2026-03-20 Matthew I. Jones , Zachary Winkeler