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We consider algorithms that, from an arbitrarily sampling of $N$ spheres (possibly overlapping), find a close packed configuration without overlapping. These problems can be formulated as minimization problems with non-convex constraints.…

Numerical Analysis · Mathematics 2017-01-04 Pierre Degond , Marina A. Ferreira , Sébastien Motsch

High-throughput neural network inference requires coordinating many optimization decisions, including parallel tiling, microkernel selection, and data layout. The product of these decisions forms a search space of programs which is…

Programming Languages · Computer Science 2025-05-06 Samuel J. Kaufman , René Just , Rastislav Bodik

Optical computing harnesses the speed of light to perform vector-matrix operations efficiently. It leverages interference, a cornerstone of quantum computing algorithms, to enable parallel computations. In this work, we interweave quantum…

Quantum Physics · Physics 2024-10-14 Mwezi Koni , Hadrian Bezuidenhout , Isaac Nape

The paper introduces a new lossless, highly robust compression algorithm that similar with LZW algorithm, yet the algorithm discards dictionary processing and uses irregular sequences with massive, random information instead. Then the paper…

Signal Processing · Electrical Eng. & Systems 2020-06-24 Rui Zhu

Efficient inference in large language models (LLMs) has become a critical focus as their scale and complexity grow. Traditional autoregressive decoding, while effective, suffers from computational inefficiencies due to its sequential token…

Computation and Language · Computer Science 2024-11-28 Hyun Ryu , Eric Kim

Image fusion plays a key role in a variety of multi-sensor-based vision systems, especially for enhancing visual quality and/or extracting aggregated features for perception. However, most existing methods just consider image fusion as an…

Computer Vision and Pattern Recognition · Computer Science 2023-05-26 Risheng Liu , Zhu Liu , Jinyuan Liu , Xin Fan , Zhongxuan Luo

Optical telescopes are powerful eyes for terrestrial and astronomical detection. Here we propose a new detection method with high efficiency, strong robustness and super precision, as an enhanced technique for optical telescopes in angular…

Quantum Physics · Physics 2025-02-14 Jian Leng , Yi-Xin Shen , Zhou-Kai Cao , Xiang-Bin Wang

Heterodyne receivers register the sky signal on either a circular polarization basis (where it is split into left-hand and right-hand circular polarization) or a linear polarization basis (where it is split into horizontal and vertical…

Instrumentation and Methods for Astrophysics · Physics 2016-03-09 Ivan Marti-Vidal , Alan Roy , John Conway , Anton J. Zensus

In this paper we first identify a basic limitation in gradient descent-based optimization methods when used in conjunctions with smooth kernels. An analysis based on the spectral properties of the kernel demonstrates that only a vanishingly…

Machine Learning · Statistics 2017-06-20 Siyuan Ma , Mikhail Belkin

Creative sketching or doodling is an expressive activity, where imaginative and previously unseen depictions of everyday visual objects are drawn. Creative sketch image generation is a challenging vision problem, where the task is to…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Ankan Kumar Bhunia , Salman Khan , Hisham Cholakkal , Rao Muhammad Anwer , Fahad Shahbaz Khan , Jorma Laaksonen , Michael Felsberg

High-throughput 2D and 3D scanning electron microscopy, which relies on automation and dependable control algorithms, requires high image quality with minimal human intervention. Classical focus and astigmatism correction algorithms attempt…

Instrumentation and Detectors · Physics 2023-05-10 Philipp Johannes Schubert , Rangoli Saxena , Joergen Kornfeld

In a recent paper we presented a new ultra efficient numerical method for solving kinetic equations of the Boltzmann type (G. Dimarco, R. Loubere, Towards an ultra efficient kinetic scheme. Part I: basics on the 689 BGK equation, J. Comp.…

Numerical Analysis · Mathematics 2015-06-12 Giacomo Dimarco , Raphaël Loubere

This paper shows how data-driven deep generative models can be utilized to solve challenging phase retrieval problems, in which one wants to reconstruct a signal from only few intensity measurements. Classical iterative algorithms are known…

Image and Video Processing · Electrical Eng. & Systems 2020-07-17 Martin Reiche , Peter Jung

We show that an idea, originating initially with a fundamental recursive iteration scheme (usually referred as "the" Kaczmarz algorithm), admits important applications in such infinite-dimensional, and non-commutative, settings as are…

Functional Analysis · Mathematics 2019-04-10 Palle Jorgensen , Myung-Sin Song , Feng Tian

Image retargeting changes the aspect ratio of images while aiming to preserve content and minimise noticeable distortion. Fast and high-quality methods are particularly relevant at present, due to the large variety of image and display…

Computer Vision and Pattern Recognition · Computer Science 2022-03-28 Daniel Valdez-Balderas , Oleg Muraveynyk , Timothy Smith

As an increasing amount of image and video content will be analyzed by machines, there is demand for a new codec paradigm that is capable of compressing visual input primarily for the purpose of computer vision inference, while secondarily…

Image and Video Processing · Electrical Eng. & Systems 2023-01-12 Ezgi Ozyilkan , Mateen Ulhaq , Hyomin Choi , Fabien Racape

Symbolic summation as an active research topic of symbolic computation provides efficient algorithmic tools for evaluating and simplifying different types of sums arising from mathematics, computer science, physics and other areas. Most of…

Symbolic Computation · Computer Science 2025-03-18 Shaoshi Chen , Lixin Du , Hanqian Fang

In four-dimensional scanning transmission electron microscopy (4D STEM) a focused beam is scanned over a specimen and a diffraction pattern is recorded at each position using a pixelated detector. During the experiment, it must be ensured…

Probabilistic ideas and tools have recently begun to permeate into several fields where they had traditionally not played a major role, including fields such as numerical linear algebra and optimization. One of the key ways in which these…

Numerical Analysis · Mathematics 2016-12-20 Robert M. Gower

Parallel and cyclic projection algorithms are proposed for minimizing the sum of a finite family of convex functions over the intersection of a finite family of closed convex subsets of a Hilbert space. These algorithms are of…

Optimization and Control · Mathematics 2019-01-08 Hong-Kun Xu , Vera Roshchina