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Optimization algorithms can be interpreted through the lens of dynamical systems as the interconnection of linear systems and a set of subgradient nonlinearities. This dynamical systems formulation allows for the analysis and synthesis of…

Optimization and Control · Mathematics 2026-03-27 Jared Miller , Carsten Scherer , Fabian Jakob , Andrea Iannelli

Federated learning increasingly operates in a large-model regime where communication, memory, and computation are all scarce. Typically, non-IID client data induce drift that degrades the stability and performance of local training.…

Machine Learning · Computer Science 2026-04-29 Shuchen Zhu , Zhengyang Huang , Yuqi Xu , Peijin Li

Cooperative optimization is a new way for finding global optima of complicated functions of many variables. It has some important properties not possessed by any conventional optimization methods. It has been successfully applied in solving…

Information Theory · Computer Science 2007-07-13 Xiaofei Huang

Single-image super-resolution (SISR) networks trained with perceptual and adversarial losses provide high-contrast outputs compared to those of networks trained with distortion-oriented losses, such as L1 or L2. However, it has been shown…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Seung Ho Park , Young Su Moon , Nam Ik Cho

Algorithmic differentiable ray tracing is a new paradigm that allows one to solve the forward problem of how light propagates through an optical system while obtaining gradients of the simulation results with respect to parameters…

Optics · Physics 2023-09-26 Bart de Koning , Alexander Heemels , Aurèle Adam , Matthias Möller

Path-following algorithms are frequently used in composite optimization problems where a series of subproblems, with varying regularization hyperparameters, are solved sequentially. By reusing the previous solutions as initialization,…

Optimization and Control · Mathematics 2021-12-10 Eugene Ndiaye , Ichiro Takeuchi

We present a novel approach for adaptive, differentiable parameterization of large-scale random fields. If the approach is coupled with any gradient-based optimization algorithm, it can be applied to a variety of optimization problems,…

Machine Learning · Computer Science 2020-06-09 Maksim Elizarev , Andrei Mukhin , Aleksey Khlyupin

The design of complex engineering systems leads to solving very large optimization problems involving different disciplines. Strategies allowing disciplines to optimize in parallel by providing sub-objectives and splitting the problem into…

Machine Learning · Computer Science 2021-06-14 Jean de Becdelievre , Ilan Kroo

Optical computing systems provide an alternate hardware model which appears to be aligned with the demands of neural network workloads. However, the challenge of implementing energy efficient nonlinearities in optics -- a key requirement…

Optics · Physics 2025-08-04 N. Richardson , C. Bosch , R. P. Adams

Difference imaging is a technique for obtaining precise relative photometry of variable sources in crowded stellar fields and, as such, constitutes a crucial part of the data reduction pipeline in surveys for microlensing events or…

Astrophysics · Physics 2009-11-11 Holger Israel , Frederic V. Hessman , Sonja Schuh

In this work, we deal with the problem of computing a comprehensive front of efficient solutions in multi-objective portfolio optimization problems in presence of sparsity constraints. We start the discussion pointing out some weaknesses of…

Optimization and Control · Mathematics 2025-09-23 Arturo Annunziata , Matteo Lapucci , Pieluigi Mansueto , Davide Pucci

In this paper, we study optimization methods consisting of iteratively minimizing surrogates of an objective function. By proposing several algorithmic variants and simple convergence analyses, we make two main contributions. First, we…

Machine Learning · Statistics 2013-05-15 Julien Mairal

Scene flow estimation is a crucial component in the development of autonomous driving and 3D robotics, providing valuable information for environment perception and navigation. Despite the advantages of learning-based scene flow estimation…

Computer Vision and Pattern Recognition · Computer Science 2024-01-08 Rahul Ahuja , Chris Baker , Wilko Schwarting

Optical approaches have made great strides towards the goal of high-speed, energy-efficient computing necessary for modern deep learning and AI applications. Read-in and read-out of data, however, limit the overall performance of existing…

Emerging Technologies · Computer Science 2024-02-06 Alexander Song , Sai Nikhilesh Murty Kottapalli , Rahul Goyal , Bernhard Schölkopf , Peer Fischer

Optical imaging and sensing systems based on diffractive elements have seen massive advances over the last several decades. Earlier generations of diffractive optical processors were, in general, designed to deliver information to an…

Optics · Physics 2024-08-14 Md Sadman Sakib Rahman , Aydogan Ozcan

Recent advances in convex optimization have leveraged computer-assisted proofs to develop optimized first-order methods that improve over classical algorithms. However, each optimized method is specially tailored for a particular problem…

Optimization and Control · Mathematics 2025-07-01 Jinho Bok , Jason M. Altschuler

In the domain of computer vision, optical flow stands as a cornerstone for unraveling dynamic visual scenes. However, the challenge of accurately estimating optical flow under conditions of large nonlinear motion patterns remains an open…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Chanuka Algama , Kasun Amarasinghe

Modern computer vision systems increasingly encounter performance limitations in data-scarce domains, where collecting large-scale, high-quality labeled data is costly or impractical. While controllable diffusion models enable scalable…

Image and Video Processing · Electrical Eng. & Systems 2026-05-12 Yukang Shen

In a previous paper it was shown that a machine learning regression problem can be solved within the framework of random function theory, with the optimal kernel analytically derived from symmetry and indifference principles and coinciding…

Machine Learning · Computer Science 2025-12-19 Yuriy N. Bakhvalov

Iterative projection algorithms are successfully being used as a substitute of lenses to recombine, numerically rather than optically, light scattered by illuminated objects. Images obtained computationally allow aberration-free…

Optics · Physics 2007-05-23 S. Marchesini