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The derivation of a function is a fundamental tool for solving problems in calculus. Consequently, the motivations for investigating physical systems capable of performing this task are numerous. Furthermore, the potential to develop an…

Iterative phase retrieval algorithms are widely used in digital optics for their efficiency and simplicity. Conventionally, these algorithms do not consider aberrations as they assume an ideal, aberration-free optical system. Here, we…

Optics · Physics 2025-02-10 Dylan Brault , Corinne Fournier , Tatiana Latychevskaia

We introduce an efficient parallelization scheme to implement pixel-by-pixel nanophotonic optimization using a Green's function based formalism. The crucial insight in our proposal is the reframing of the optimization algorithm as a…

Traditional optimization methods rely on the use of single-precision floating point arithmetic, which can be costly in terms of memory size and computing power. However, mixed precision optimization techniques leverage the use of both…

Machine Learning · Computer Science 2023-09-25 Basile Lewandowski , Atli Kosson

In this paper we propose a parallel coordinate descent algorithm for solving smooth convex optimization problems with separable constraints that may arise e.g. in distributed model predictive control (MPC) for linear network systems. Our…

Optimization and Control · Mathematics 2014-11-19 Ion Necoara , Dragos Clipici

Sequential robot manipulation tasks require finding collision-free trajectories that satisfy geometric constraints across multiple object interactions in potentially high-dimensional configuration spaces. Solving these problems in real-time…

Robotics · Computer Science 2025-10-14 Lucas Chen , Shrutheesh Raman Iyer , Zachary Kingston

Efficiently solving large-scale optimal power flow (OPF) problems is challenging due to the high dimensionality and interconnectivity of modern power systems. Decomposition methods offer a promising solution via partitioning large problems…

Optimization and Control · Mathematics 2025-12-30 Mohannad Alkhraijah , Devon Sigler , Daniel K. Molzahn

Many applications using large datasets require efficient methods for minimizing a proximable convex function subject to satisfying a set of linear constraints within a specified tolerance. For this task, we present a proximal projection…

Optimization and Control · Mathematics 2024-12-10 Howard Heaton

We describe an image compression method, consisting of a nonlinear analysis transformation, a uniform quantizer, and a nonlinear synthesis transformation. The transforms are constructed in three successive stages of convolutional linear…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Johannes Ballé , Valero Laparra , Eero P. Simoncelli

The ever-increasing demand for processing data with larger machine learning models requires more efficient hardware solutions due to limitations such as power dissipation and scalability. Optics is a promising contender for providing lower…

Emerging Technologies · Computer Science 2022-08-11 Ilker Oguz , Jih-Liang Hsieh , Niyazi Ulas Dinc , Uğur Teğin , Mustafa Yildirim , Carlo Gigli , Christophe Moser , Demetri Psaltis

The integral image, an intermediate image representation, has found extensive use in multi-scale local feature detection algorithms, such as Speeded-Up Robust Features (SURF), allowing fast computation of rectangular features at constant…

Computer Vision and Pattern Recognition · Computer Science 2015-10-20 Shoaib Ehsan , Adrian F. Clark , Naveed ur Rehman , Klaus D. McDonald-Maier

Accurate and stable feature matching is critical for computer vision tasks, particularly in applications such as Simultaneous Localization and Mapping (SLAM). While recent learning-based feature matching methods have demonstrated promising…

Robotics · Computer Science 2025-04-08 Yuqing Wang , Yan Wang , Hailiang Tang , Xiaoji Niu

State-of-the-art scene flow algorithms pursue the conflicting targets of accuracy, run time, and robustness. With the successful concept of pixel-wise matching and sparse-to-dense interpolation, we push the limits of scene flow estimation.…

Computer Vision and Pattern Recognition · Computer Science 2019-10-30 René Schuster , Oliver Wasenmüller , Christian Unger , Georg Kuschk , Didier Stricker

Emerging deep-learning-based lens library pre-training (LensLib-PT) pipeline offers a new avenue for blind lens aberration correction by training a universal neural network, demonstrating strong capability in handling diverse unknown…

Image and Video Processing · Electrical Eng. & Systems 2025-11-26 Qi Jiang , Xiaolong Qian , Yao Gao , Lei Sun , Kailun Yang , Zhonghua Yi , Wenyong Li , Ming-Hsuan Yang , Luc Van Gool , Kaiwei Wang

Differentiable rendering methods promise the ability to optimize various parameters of 3d scenes to achieve a desired result. However, lighting design has so far received little attention in this field. In this paper, we introduce a method…

Graphics · Computer Science 2024-05-07 Lukas Lipp , David Hahn , Pierre Ecormier-Nocca , Florian Rist , Michael Wimmer

The sequential parameter optimization (SPOT) package for R is a toolbox for tuning and understanding simulation and optimization algorithms. Model-based investigations are common approaches in simulation and optimization. Sequential…

Neural and Evolutionary Computing · Computer Science 2010-06-25 Thomas Bartz-Beielstein

In the following paper we present a new type of optimization algorithms adapted for neural network training. These algorithms are based upon sequential operator splitting technique for some associated dynamical systems. Furthermore, we…

Machine Learning · Computer Science 2020-03-24 Cristian Daniel Alecsa , Titus Pinta , Imre Boros

This study addresses the challenge of simulating realistic particle systems by proposing a novel particle decomposition scheme that improves the parallel performance of surface resolved particle simulations. Realistic particle systems often…

Fluid Dynamics · Physics 2024-03-21 J. E. Marquardt , N. Hafen , M. J. Krause

In recent years, learning-based methods have achieved significant advancements in multi-exposure image fusion. However, two major stumbling blocks hinder the development, including pixel misalignment and inefficient inference. Reliance on…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Zhu Liu , Jinyuan Liu , Guanyao Wu , Zihang Chen , Xin Fan , Risheng Liu

Recent work has shown a variety of ways in which machine learning can be used to accelerate the solution of constrained optimization problems. Increasing demand for real-time decision-making capabilities in applications such as artificial…

Machine Learning · Computer Science 2024-04-02 Ethan King , James Kotary , Ferdinando Fioretto , Jan Drgona