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Region proposal is critical for object detection while it usually poses a bottleneck in improving the computation efficiency on traditional control-flow architectures. We have observed region proposal tasks are potentially suitable for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-30 Wenzhi Fu , Jianlei Yang , Pengcheng Dai , Yiran Chen , Weisheng Zhao

Solving inverse problems and achieving statistical rigour in landscape evolution models requires running many model realizations. Parallel computation is necessary to achieve this in a reasonable time. However, no previous algorithm is…

Computational Engineering, Finance, and Science · Computer Science 2019-01-23 Richard Barnes

Reduction operations are extensively employed in many computational problems. A reduction consists of, given a finite set of numeric elements, combining into a single value all elements in that set, using for this a combiner function. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-23 Walid Jradi , Hugo do Nascimento , Wellington Martins

In this work, we present the first efficient and practical algorithm for estimating the number of triangles in a graph stream using predictions. Our algorithm combines waiting room sampling and reservoir sampling with a predictor for the…

Data Structures and Algorithms · Computer Science 2024-09-24 Cristian Boldrin , Fabio Vandin

The partition of a problem into smaller sub-problems satisfying certain properties is often a key ingredient in the design of divide-and-conquer algorithms. For questions related to location, the partition problem can be modeled, in…

Computational Geometry · Computer Science 2020-12-08 Allan Sapucaia , Pedro J. de Rezende , Cid C. de Souza

We propose algorithms to take point sets for kernel-based interpolation of functions in reproducing kernel Hilbert spaces (RKHSs) by convex optimization. We consider the case of kernels with the Mercer expansion and propose an algorithm by…

Numerical Analysis · Mathematics 2019-08-19 Ken'ichiro Tanaka

Deep learning systems extensively use convolution operations to process input data. Though convolution is clearly defined for structured data such as 2D images or 3D volumes, this is not true for other data types such as sparse point…

Computer Vision and Pattern Recognition · Computer Science 2018-09-26 Pedro Hermosilla , Tobias Ritschel , Pere-Pau Vázquez , Àlvar Vinacua , Timo Ropinski

The convex hull of a data set $P$ is the smallest convex set that contains $P$. In this work, we present a new data structure for convex hull, that allows for efficient dynamic updates. In a dynamic convex hull implementation, the following…

Computational Geometry · Computer Science 2023-11-01 Emil Toftegaard Gæde , Inge Li Gørtz , Ivor van der Hoog , Christoffer Krogh , Eva Rotenberg

In this paper we look for the convex hull of a set using the geometric evolution by minimal curvature of a hypersurface that surrounds the set. To find the convex hull, we study the large time behavior of solutions to an obstacle problem…

Analysis of PDEs · Mathematics 2024-09-12 Irene Gonzálvez , Alfredo Miranda , Julio D. Rossi , Jorge Ruiz-Cases

The convex hull of a planar point set is the smallest convex polygon containing each point in the set. The dynamic convex hull problem concerns efficiently maintaining the convex hull of a set of points subject to additions and removals.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-13 K. Alex Mills , James Smith

Extrapolation is a well-known technique for solving convex optimization and variational inequalities and recently attracts some attention for non-convex optimization. Several recent works have empirically shown its success in some machine…

Optimization and Control · Mathematics 2019-02-06 Yi Xu , Zhuoning Yuan , Sen Yang , Rong Jin , Tianbao Yang

We present a general method for accelerating by more than an order of magnitude the convolution of pixelated functions on the sphere with a radially-symmetric kernel. Our method splits the kernel into a compact real-space component and a…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-31 P. M. Sutter , Benjamin D. Wandelt , Franz Elsner

Traditional nearest points methods use all the samples in an image set to construct a single convex or affine hull model for classification. However, strong artificial features and noisy data may be generated from combinations of training…

Computer Vision and Pattern Recognition · Computer Science 2014-08-27 Shaokang Chen , Arnold Wiliem , Conrad Sanderson , Brian C. Lovell

The two-dimensional discrete wavelet transform has a huge number of applications in image-processing techniques. Until now, several papers compared the performance of such transform on graphics processing units (GPUs). However, all of them…

Computer Vision and Pattern Recognition · Computer Science 2017-05-24 David Barina , Michal Kula , Michal Matysek , Pavel Zemcik

Current trends in the computer graphics community propose leveraging the massive parallel computational power of GPUs to accelerate physically based simulations. Collision detection and solving is a fundamental part of this process. It is…

Graphics · Computer Science 2021-10-06 Hugo Bertiche , Meysam Madadi , Sergio Escalera

In this paper we explore acceleration techniques for large scale nonconvex optimization problems with special focuses on deep neural networks. The extrapolation scheme is a classical approach for accelerating stochastic gradient descent for…

Machine Learning · Statistics 2018-05-18 Guangzeng Xie , Yitan Wang , Shuchang Zhou , Zhihua Zhang

We accelerated an ab-initio molecular QMC calculation by using GPGPU. Only the bottle-neck part of the calculation is replaced by CUDA subroutine and performed on GPU. The performance on a (single core CPU + GPU) is compared with that on a…

Computational Physics · Physics 2012-04-06 Yutaka Uejima , Tomoharu Terashima , Ryo Maezono

We consider minimizing a conic quadratic objective over a polyhedron. Such problems arise in parametric value-at-risk minimization, portfolio optimization, and robust optimization with ellipsoidal objective uncertainty; and they can be…

Optimization and Control · Mathematics 2018-11-06 Alper Atamturk , Andres Gomez

Utilizing GPUs is critical for high performance on heterogeneous systems. However, leveraging the full potential of GPUs for accelerating legacy CPU applications can be a challenging task for developers. The porting process requires…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-27 Shilei Tian , Tom Scogland , Barbara Chapman , Johannes Doerfert

A programming tactic involving polyhedra is reported that has been widely applied in the polyhedral analysis of (constraint) logic programs. The method enables the computations of convex hulls that are required for polyhedral analysis to be…

Programming Languages · Computer Science 2007-05-23 Florence Benoy , Andy King , Fred Mesnard