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This article introduces the multi-objective adaptive order Caputo fractional gradient descent (MOAOCFGD) algorithm for solving unconstrained multi-objective problems. The proposed method performs equally well for both smooth and non-smooth…

最优化与控制 · 数学 2025-07-11 Barsha Shaw , Md Abu Talhamainuddin Ansary

The optimization of radiofrequency-wave (RF) systems for fusion experiments is often performed using ray-tracing codes, which rely on the geometrical-optics (GO) approximation. However, GO fails at caustics such as cutoffs and focal points,…

等离子体物理 · 物理学 2022-05-24 N. A. Lopez , I. Y. Dodin

Zeroth-order (ZO) optimization provides a gradient-free alternative to first-order (FO) methods by estimating gradients via finite differences of function evaluations, and has recently emerged as a memory-efficient paradigm for fine-tuning…

机器学习 · 计算机科学 2026-02-24 Yicheng Lang , Changsheng Wang , Yihua Zhang , Mingyi Hong , Zheng Zhang , Wotao Yin , Sijia Liu

Given the limitations of backpropagation, perturbation-based gradient computation methods have recently gained focus for learning with only forward passes, also referred to as queries. Conventional forward learning consumes enormous queries…

机器学习 · 计算机科学 2025-03-11 Tao Ren , Zishi Zhang , Jinyang Jiang , Guanghao Li , Zeliang Zhang , Mingqian Feng , Yijie Peng

Fractional Gradient Descent (FGD) offers a novel and promising way to accelerate optimization by incorporating fractional calculus into machine learning. Although FGD has shown encouraging initial results across various optimization tasks,…

机器学习 · 计算机科学 2025-10-22 Jan Sobotka , Petr Šimánek , Pavel Kordík

We consider continuous-time dynamics for distributed optimization with set constraints in the paper. To handle the computational complexity of projection-based dynamics due to solving a general quadratic optimization subproblem with…

最优化与控制 · 数学 2022-06-24 Guanpu Chen , Peng Yi , Yiguang Hong , Jie Chen

Optical flow is typically estimated by minimizing a "data cost" and an optional regularizer. While there has been much work on different regularizers many modern algorithms still use a data cost that is not very different from the ones used…

计算机视觉与模式识别 · 计算机科学 2016-04-12 Dan Rosenbaum , Yair Weiss

Inverse design of large-area metasurfaces can potentially exploit the full parameter space that such devices offer and achieve highly efficient multifunctional flat optical elements. However, since practically useful flat optics elements…

Zero-order (ZO) optimization is a powerful tool for dealing with realistic constraints. On the other hand, the gradient-tracking (GT) technique proved to be an efficient method for distributed optimization aiming to achieve consensus.…

机器学习 · 计算机科学 2024-10-10 Elissa Mhanna , Mohamad Assaad

A novel class of derivative-free optimization algorithms is developed. The main idea is to utilize certain non-commutative maps in order to approximate the gradient of the objective function. Convergence properties of the novel algorithms…

最优化与控制 · 数学 2018-05-21 Jan Feiling , Amelie Zeller , Christian Ebenbauer

The performance of policy gradient methods is sensitive to hyperparameter settings that must be tuned for any new application. Widely used grid search methods for tuning hyperparameters are sample inefficient and computationally expensive.…

机器学习 · 计算机科学 2019-09-19 Supratik Paul , Vitaly Kurin , Shimon Whiteson

Zeroth-order optimization is the process of minimizing an objective $f(x)$, given oracle access to evaluations at adaptively chosen inputs $x$. In this paper, we present two simple yet powerful GradientLess Descent (GLD) algorithms that do…

机器学习 · 计算机科学 2020-05-20 Daniel Golovin , John Karro , Greg Kochanski , Chansoo Lee , Xingyou Song , Qiuyi Zhang

Non-prehensile manipulation in high-dimensional systems is challenging for a variety of reasons. One of the main reasons is the computationally long planning times that come with a large state space. Trajectory optimisation algorithms have…

机器人学 · 计算机科学 2024-09-13 David Russell , Rafael Papallas , Mehmet Dogar

In this work, we are concerned with the worst case complexity analysis of "a posteriori" methods for unconstrained multi-objective optimization problems where objective function values can only be obtained by querying a black box. We…

最优化与控制 · 数学 2025-05-26 Giampaolo Liuzzi , Stefano Lucidi

The quality of captured images strongly influences the performance of downstream perception tasks. Recent works on co-designing camera systems with perception tasks have shown improved task performance. However, most prior approaches focus…

计算机视觉与模式识别 · 计算机科学 2025-12-09 Chengyang Yan , Mitch Bryson , Donald G. Dansereau

State-of-the-art methods for optical flow estimation rely on deep learning, which require complex sequential training schemes to reach optimal performances on real-world data. In this work, we introduce the COMBO deep network that…

计算机视觉与模式识别 · 计算机科学 2022-07-13 Vincent Le Guen , Clément Rambour , Nicolas Thome

Derivative-free optimization (DFO) has recently gained a lot of momentum in machine learning, spawning interest in the community to design faster methods for problems where gradients are not accessible. While some attention has been given…

最优化与控制 · 数学 2020-08-04 Yuwen Chen , Antonio Orvieto , Aurelien Lucchi

We investigate the use of diffusion models as neural density estimators. The current approach to this problem involves converting the generative process to a smooth flow, known as the Probability Flow ODE. The log density at a given sample…

机器学习 · 计算机科学 2024-10-10 Akhil Premkumar

Bi-level optimization model is able to capture a wide range of complex learning tasks with practical interest. Due to the witnessed efficiency in solving bi-level programs, gradient-based methods have gained popularity in the machine…

最优化与控制 · 数学 2021-06-16 Risheng Liu , Xuan Liu , Xiaoming Yuan , Shangzhi Zeng , Jin Zhang

In this work, we utilize a Trust Region based Derivative Free Optimization (DFO-TR) method to directly maximize the Area Under Receiver Operating Characteristic Curve (AUC), which is a nonsmooth, noisy function. We show that AUC is a smooth…

机器学习 · 计算机科学 2017-03-22 Hiva Ghanbari , Katya Scheinberg