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This paper presents a practical GPU-accelerated convex hull algorithm and a novel Sorting-based Preprocessing Approach (SPA) for planar point sets. The proposed algorithm consists of two stages: (1) two rounds of preprocessing performed on…

Computational Geometry · Computer Science 2016-05-24 Gang Mei

As in various fields like scientific research and industrial application, the computation time optimization is becoming a task that is of increasing importance because of its highly parallel architecture. The graphics processing unit is…

Performance · Computer Science 2017-10-18 Huichao Hong , Lixin Zheng , Shuwan Pan

Convolutional neural networks are paramount in image and signal processing including the relevant classification and training tasks alike and constitute for the majority of machine learning compute demand today. With convolution operations…

This paper proposes a new parallel approach to solve connected components on a 2D binary image implemented with CUDA. We employ the following strategies to accelerate neighborhood exploration after dividing an input image into independent…

Computer Vision and Pattern Recognition · Computer Science 2018-01-29 Jun Chen , Keisuke Nonaka , Ryosuke Watanabe , Hiroshi Sankoh , Houari Sabirin , Sei Naito

Robust trajectory optimization enables autonomous systems to operate safely under uncertainty by computing control policies that satisfy the constraints for all bounded disturbances. However, these problems often lead to large Second Order…

Robotics · Computer Science 2026-05-19 Jiawei Wang , Arshiya Taj Abdul , Evangelos A. Theodorou

We consider learning problems over training sets in which both, the number of training examples and the dimension of the feature vectors, are large. To solve these problems we propose the random parallel stochastic algorithm (RAPSA). We…

Machine Learning · Computer Science 2016-06-17 Aryan Mokhtari , Alec Koppel , Alejandro Ribeiro

Large-scale sparse precision matrix estimation has attracted wide interest from the statistics community. The convex partial correlation selection method (CONCORD) developed by Khare et al. (2015) has recently been credited with some…

Computation · Statistics 2021-06-18 Young-Geun Choi , Seunghwan Lee , Donghyeon Yu

Recently, covariance descriptors have received much attention as powerful representations of set of points. In this research, we present a new metric learning algorithm for covariance descriptors based on the Dykstra algorithm, in which the…

Computer Vision and Pattern Recognition · Computer Science 2016-01-08 Tomoki Matsuzawa , Raissa Relator , Jun Sese , Tsuyoshi Kato

Super-resolution optical fluctuation imaging (SOFI) provides a resolution beyond the diffraction limit by analysing stochastic fluorescence fluctuations with higher-order statistics. Using nth order spatio-temporal cross-cumulants the…

A technique for the enhancement of point targets in clutter is described. The local 3-D spectrum at each pixel is estimated recursively. An optical flow-field for the textured background is then generated using the 3-D autocorrelation…

Computer Vision and Pattern Recognition · Computer Science 2015-08-25 Hugh L. Kennedy

In example-based super-resolution, the function relating low-resolution images to their high-resolution counterparts is learned from a given dataset. This data-driven approach to solving the inverse problem of increasing image resolution…

Image and Video Processing · Electrical Eng. & Systems 2018-12-05 Alexander Robey , Vidya Ganapati

Numerical solution of reaction-diffusion equations in three dimensions is one of the most challenging applied mathematical problems. Since these simulations are very time consuming, any ideas and strategies aiming at the reduction of CPU…

Computational Physics · Physics 2011-08-17 Ferenc Molnar , Ferenc Izsak , Robert Meszaros , Istvan Lagzi

We present a GPU-accelerated numerical approach for fast kernel and differential background solutions. The model image proposed in the Bramich (2008) difference image analysis algorithm is analogous to a very simple Convolutional Neural…

Instrumentation and Methods for Astrophysics · Physics 2021-05-04 James A. Hitchcock , Markus Hundertmark , Daniel Foreman-Mackey , Etienne Bachelet , Martin Dominik , Rachel Street , Yiannis Tsapras

FPGAs provide a flexible and efficient platform to accelerate rapidly-changing algorithms for computer vision. The majority of existing work focuses on accelerating image classification, while other fundamental vision problems, including…

Image and Video Processing · Electrical Eng. & Systems 2020-03-25 Qijing Huang , Dequan Wang , Yizhao Gao , Yaohui Cai , Zhen Dong , Bichen Wu , Kurt Keutzer , John Wawrzynek

We describe an asynchronous parallel stochastic proximal coordinate descent algorithm for minimizing a composite objective function, which consists of a smooth convex function plus a separable convex function. In contrast to previous…

Optimization and Control · Mathematics 2015-12-14 Ji Liu , Stephen J. Wright

The Laue diffraction microscopy experiment uses the polychromatic Laue micro-diffraction technique to examine the structure of materials with sub-micron spatial resolution in all three dimensions. During this experiment, local…

Data Analysis, Statistics and Probability · Physics 2022-02-01 Ke Yue , Schwarz Nicholas , Tischler Jonathan Z

Optimization has been widely used to generate smooth trajectories for motion planning. However, existing trajectory optimization methods show weakness when dealing with large-scale long trajectories. Recent advances in parallel computing…

Robotics · Computer Science 2025-07-18 Jiajun Yu , Nanhe Chen , Guodong Liu , Chao Xu , Fei Gao , Yanjun Cao

The boom of non-uniform sampling and compressed sensing techniques dramatically alleviates the lengthy data acquisition problem of magnetic resonance imaging. Sparse reconstruction, thanks to its fast computation and promising performance,…

Image and Video Processing · Electrical Eng. & Systems 2020-08-05 Xinlin Zhang , Hengfa Lu , Di Guo , Lijun Bao , Feng Huang , Qin Xu , Xiaobo Qu

A popular method for finding the projection onto the intersection of two closed convex subsets in Hilbert space is Dykstra's algorithm. In this paper, we provide sufficient conditions for Dykstra's algorithm to converge rapidly, in finitely…

Optimization and Control · Mathematics 2020-01-22 Heinz H. Bauschke , Regina S. Burachik , Daniel B. Herman , C. Yalcin Kaya

Purpose: To systematically investigate the influence of various data consistency layers, (semi-)supervised learning and ensembling strategies, defined in a $\Sigma$-net, for accelerated parallel MR image reconstruction using deep learning.…

Image and Video Processing · Electrical Eng. & Systems 2019-12-20 Kerstin Hammernik , Jo Schlemper , Chen Qin , Jinming Duan , Ronald M. Summers , Daniel Rueckert