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Quadratic cone programs are rapidly becoming the standard canonical form for convex optimization problems. In this paper we address the question of differentiating the solution map for such problems, generalizing previous work for linear…

Optimization and Control · Mathematics 2025-08-26 Quill Healey , Parth Nobel , Stephen Boyd

Future computing systems, from handhelds to supercomputers, will undoubtedly be more parallel and heterogeneous than todays systems to provide more performance and energy efficiency. Thus, GPUs are increasingly being used to accelerate…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-18 Saeed Taheri , Apan Qasem , Martin Burtscher

Coherent diffraction imaging methods enable imaging beyond lens-imposed resolution limits. In these methods, the object can be recovered by minimizing an error metric that quantifies the difference between diffraction patterns as observed,…

Image and Video Processing · Electrical Eng. & Systems 2019-07-24 Saugat Kandel , S. Maddali , Marc Allain , Stephan O. Hruszkewycz , Chris Jacobsen , Youssef S G Nashed

Convolutional Neural Networks (CNNs) have been utilised in many image and video processing applications. The convolution operator, also known as a spatial filter, is usually a linear operation, but this linearity compromises essential…

Hardware Architecture · Computer Science 2024-09-10 Nelson Campos , Eran Edirisinghe , Salva Chesnokov , Daniel Larkin

Pruning filters is an effective method for accelerating deep neural networks (DNNs), but most existing approaches prune filters on a pre-trained network directly which limits in acceleration. Although each filter has its own effect in DNNs,…

Computer Vision and Pattern Recognition · Computer Science 2019-05-29 Zhengguang Zhou , Wengang Zhou , Richang Hong , Houqiang Li

The growth of data to be processed in the Oil & Gas industry matches the requirements imposed by evolving algorithms based on stencil computations, such as Full Waveform Inversion and Reverse Time Migration. Graphical processing units…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-05 Vitor Hugo Mickus Rodrigues , Lucas Cavalcante , Maelso Bruno Pereira , Fabio Luporini , István Reguly , Gerard Gorman , Samuel Xavier de Souza

A unified explicit form for difference formulas to approximate the fractional and classical derivatives is presented. The formula gives finite difference approximations for any classical derivatives with a desired order of accuracy at nodal…

Numerical Analysis · Mathematics 2021-05-28 W. A. Gunarathna , H. M. Nasir , W. B. Daundasekera

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

Rapid progress in deep learning is leading to a diverse set of quickly changing models, with a dramatically growing demand for compute. However, as frameworks specialize performance optimization to patterns in popular networks, they…

Machine Learning · Computer Science 2022-08-31 Oliver Rausch , Tal Ben-Nun , Nikoli Dryden , Andrei Ivanov , Shigang Li , Torsten Hoefler

We present a scalable dissipative particle dynamics simulation code, fully implemented on the Graphics Processing Units (GPUs) using a hybrid CUDA/MPI programming model, which achieves 10-30 times speedup on a single GPU over 16 CPU cores…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-01 Yu-Hang Tang , George Em Karniadakis

A fast and accurate computational scheme for simulating nonlinear dynamic systems is presented. The scheme assumes that the system can be represented by a combination of components of only two different types: first-order low-pass filters…

Quantitative Methods · Quantitative Biology 2008-06-20 J. H. van Hateren

We present the first open-source, GPU-based code for complex plasmas. The code, OpenDust, aims to provide researchers both experimenters and theorists user-friendly and high-performance tool for self-consistent calculation forces, acting on…

Plasma Physics · Physics 2023-05-03 D. Kolotinskii , A. Timofeev

Efficient methods for generating samples of wave packet trajectories are needed to build machine learning models for quantum dynamics. However, simulating such data by direct integration of the time-dependent Schrodinger equation can be…

Materials Science · Physics 2024-01-17 Rei Nagaya , Haruki Omatsu , Daniel M. Packwood

Extensions to the C++ implementation of the QCD Data Parallel Interface are provided enabling acceleration of expression evaluation on NVIDIA GPUs. Single expressions are off-loaded to the device memory and execution domain leveraging the…

High Energy Physics - Lattice · Physics 2011-11-24 Frank Winter

Reverse-mode differentiation is used for optimization, but it introduces references, which break the purity of the underlying programs, making them notoriously harder to optimize. We present a reverse-mode differentiation on a purely…

Programming Languages · Computer Science 2023-04-27 Mathieu Huot , Amir Shaikhha

Backpropagation is a classic automatic differentiation algorithm computing the gradient of functions specified by a certain class of simple, first-order programs, called computational graphs. It is a fundamental tool in several fields, most…

Logic in Computer Science · Computer Science 2019-11-07 Alois Brunel , Damiano Mazza , Michele Pagani

Automatic differentiation is a technique which allows a programmer to define a numerical computation via compositions of a broad range of numeric and computational primitives and have the underlying system support the computation of partial…

Mathematical Software · Computer Science 2017-06-02 Samer Abdallah

This paper introduces a novel CUDA-enabled PyTorch-based framework designed for the gradient-based optimization of such reconfigurable electromagnetic structures with electrically tunable parameters. Traditional optimization techniques for…

Computational Physics · Physics 2025-11-25 Johannes Müller , Dennis Philipp , Matthias Günther

Despite decades of advancements, the simulation of fluids remains one of the most challenging areas of in scientific computing. Supported by the necessity of gradient information in deep learning, differentiable simulators have emerged as…

Machine Learning · Computer Science 2025-10-21 Aleksandra Franz , Hao Wei , Luca Guastoni , Nils Thuerey

A large class of non-smooth practical optimization problems can be written as minimization of a sum of smooth and partly smooth functions. We examine such structured problems which also depend on a parameter vector and study the problem of…

Optimization and Control · Mathematics 2024-10-28 Sheheryar Mehmood , Peter Ochs