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In this work we present useful techniques and possible enhancements when applying an Algorithmic Differentiation (AD) tool to the linear algebra library Eigen using our in-house AD by overloading (AD-O) tool dco/c++ as a case study. After…

Mathematical Software · Computer Science 2020-06-23 Patrick Peltzer , Johannes Lotz , Uwe Naumann

This paper presents a new FDTD-based optical simulation model dedicated to describe the optical performances of CMOS image sensors taking into account diffraction effects. Following market trend and industrialization constraints, CMOS image…

Optics · Physics 2023-10-17 Flavien Hirigoyen , Axel Crocherie , Jérôme Vaillant , Yvon Cazaux

Existing GPU libraries often struggle to fully exploit the parallel resources and on-chip memory (SRAM) of GPUs when chaining multiple GPU functions as individual kernels. While Kernel Fusion (KF) techniques like Horizontal Fusion (HF) and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-09 Oscar Amoros , Albert Andaluz , Johnny Nunez , Antonio J. Pena

A study of the existing linear algebra libraries that you can use from C++

Mathematical Software · Computer Science 2011-03-17 Claire Mouton

We describe a dispersive unit consisting of cascaded volume-phase holographic gratings for spectroscopic applications. Each of the gratings provides high diffractive efficiency in a relatively narrow wavelength range and transmits the rest…

Instrumentation and Methods for Astrophysics · Physics 2017-05-04 Eduard R. Muslimov , Gennady G. Valyavin , Sergei N. Fabrika , Nadezhda K. Pavlycheva

Differentiable optics, as an emerging paradigm that jointly optimizes optics and (optional) image processing algorithms, has made innovative optical designs possible across a broad range of applications. Many of these systems utilize…

Gravitational waves (GWs) can be distorted by intervening mass distributions while propagating, leading to frequency-dependent modulations that imprint a distinct signature on the observed waveforms. Bayesian inference for GW lensing with…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Juno C. L. Chan , Lorena Magaña Zertuche , Jose María Ezquiaga , Rico K. L. Lo , Luka Vujeva , Joey Bowman

Fourier transforms are ubiquitous mathematical tools in basic and applied sciences. We here report classical and quantum optical realizations of the discrete fractional Fourier transform, a generalization of the Fourier transform. In the…

Recently, we have proposed a new diffusive representation for fractional derivatives and, based on this representation, suggested an algorithm for their numerical computation. From the construction of the algorithm, it is immediately…

Numerical Analysis · Mathematics 2022-04-12 Kai Diethelm

A radio interferometer indirectly measures the intensity distribution of the sky over the celestial sphere. Since measurements are made over an irregularly sampled Fourier plane, synthesising an intensity image from interferometric…

Instrumentation and Methods for Astrophysics · Physics 2014-03-18 Daniel Muscat

Adaptive optics is a technique mostly used on large telescopes. It turns out to be challenging for smaller telescopes (0.5~2m) due to the small isoplanatic angle, small subapertures and high correction speeds needed at visible wavelengths,…

Instrumentation and Methods for Astrophysics · Physics 2023-10-12 Olivier Lai , Mark Chun , Stefan Kuiper , Niek Doelman , Marcel Carbillet , Mamadou N'Diaye , Frantz Martinache , Lyu Abe , Jean-Pierre Rivet , Dirk Schmidt

Addition of random phase to the object light is required in computer-generated holograms (CGHs) to widely diffuse the object light and to avoid its concentration on the CGH; however, this addition causes considerable speckle noise in the…

Optics · Physics 2015-06-24 Tomoyoshi Shimobaba , Tomoyoshi Ito

Recent advances in computational materials science present novel opportunities for structure discovery and optimization, including uncovering of unsuspected compounds and metastable structures, electronic structure, surface, and…

Motivated by non-destructive testing of optical fiber, we consider the problem of determining the index of refraction of a two-dimensional medium from magnitude of the total field resulting from known incident plane waves at a fixed…

Analysis of PDEs · Mathematics 2016-08-01 Yat Tin Chow , Fadil Santosa , Gunther Uhlmann

This work aims to improve the efficiency of text-to-image diffusion models. While diffusion models use computationally expensive UNet-based denoising operations in every generation step, we identify that not all operations are equally…

Computer Vision and Pattern Recognition · Computer Science 2024-02-21 Amirhossein Habibian , Amir Ghodrati , Noor Fathima , Guillaume Sautiere , Risheek Garrepalli , Fatih Porikli , Jens Petersen

The rapidly growing computational demands of diffusion models for image generation have raised significant concerns about energy consumption and environmental impact. While existing approaches to energy optimization focus on architectural…

Machine Learning · Computer Science 2026-05-14 Aniketh Iyengar , Jiaqi Han , Boris Ruf , Vincent Grari , Marcin Detyniecki , Stefano Ermon

The paper presents AMGCL -- an opensource C++ library implementing the algebraic multigrid method (AMG) for solution of large sparse linear systems of equations, usually arising from discretization of partial differential equations on an…

Mathematical Software · Computer Science 2019-06-26 Denis Demidov

The Continuous Wavelet Transform (CWT) is an effective tool for feature extraction in acoustic recognition using Convolutional Neural Networks (CNNs), particularly when applied to non-stationary audio. However, its high computational cost…

Audio and Speech Processing · Electrical Eng. & Systems 2025-12-01 Dang Thoai Phan , Tuan Anh Huynh , Van Tuan Pham , Cao Minh Tran , Van Thuan Mai , Ngoc Quy Tran

A transverse computer-generated hologram (CGH) diffracts and provides flexible control of incident light by steering it to any point in the projected image plane - i.e. CGHs are able to direct the light to where it is needed and away from…

A C++ library, named ZKCM, has been developed for the purpose of multiprecision matrix calculations, which is based on the GNU MP and MPFR libraries. It is especially convenient for writing programs involving tensor-product operations,…

Mathematical Software · Computer Science 2012-08-28 Akira SaiToh