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Symmetric matrix decomposition is an active research area in machine learning. This paper focuses on exploiting the low-rank structure of non-negative and sparse symmetric matrices via the rectified linear unit (ReLU) activation function.…

机器学习 · 计算机科学 2025-04-29 Qingsong Wang

Decentralized optimization algorithms are important in different contexts, such as distributed optimal power flow or distributed model predictive control, as they avoid central coordination and enable decomposition of large-scale problems.…

最优化与控制 · 数学 2019-03-28 Alexander Engelmann , Yuning Jiang , Boris Houska , Timm Faulwasser

We present a globally convergent method to accelerate density-based topology optimization using projection-based reduced-order models (ROMs) and trust-region methods. To accelerate topology optimization, we replace the large-scale finite…

数值分析 · 数学 2021-02-03 Masayuki Yano , Tianci Huang , Matthew J. Zahr

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…

计算机视觉与模式识别 · 计算机科学 2020-07-28 Johannes Ballé , Valero Laparra , Eero P. Simoncelli

There has been a lot of recent research on improving the efficiency of fine-tuning foundation models. In this paper, we propose a novel efficient fine-tuning method that allows the input image size of Segment Anything Model (SAM) to be…

计算机视觉与模式识别 · 计算机科学 2026-04-06 Sota Kato , Hinako Mitsuoka , Kazuhiro Hotta

Simultaneous Localization and Mapping (SLAM) algorithms perform visual-inertial estimation via filtering or batch optimization methods. Empirical evidence suggests that filtering algorithms are computationally faster, while optimization…

系统与控制 · 电气工程与系统科学 2022-08-05 Amay Saxena , Chih-Yuan Chiu , Joseph Menke , Ritika Shrivastava , Shankar Sastry

Stochastic gradient descent type methods are ubiquitous in machine learning, but they are only applicable to the optimization of differentiable functions. Proximal algorithms are more general and applicable to nonsmooth functions. We…

最优化与控制 · 数学 2025-05-20 Laurent Condat , Elnur Gasanov , Peter Richtárik

Motion retargeting from a human demonstration to a robot is an effective way to reduce the professional requirements and workload of robot programming, but faces the challenges resulting from the differences between humans and robots.…

机器人学 · 计算机科学 2022-03-01 Haodong Zhang , Weijie Li , Jiangpin Liu , Zexi Chen , Yuxiang Cui , Yue Wang , Rong Xiong

We present a method for dynamic surface reconstruction of large-scale urban scenes from LiDAR. Depth-based reconstructions tend to focus on small-scale objects or large-scale SLAM reconstructions that treat moving objects as outliers. We…

计算机视觉与模式识别 · 计算机科学 2025-05-07 Nathaniel Chodosh , Anish Madan , Simon Lucey , Deva Ramanan

This paper considers decentralized consensus optimization problems where different summands of a global objective function are available at nodes of a network that can communicate with neighbors only. The proximal method of multipliers is…

最优化与控制 · 数学 2016-02-02 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

This paper addresses a class of general nonsmooth and nonconvex composite optimization problems subject to nonlinear equality constraints. We assume that a part of the objective function and the functional constraints exhibit local…

最优化与控制 · 数学 2025-03-04 Lahcen El Bourkhissi , Ion Necoara , Panagiotis Patrinos , Quoc Tran-Dinh

We consider a generic decentralized constrained optimization problem over static, directed communication networks, where each agent has exclusive access to only one convex, differentiable, local objective term and one convex constraint set.…

最优化与控制 · 数学 2023-11-09 Firooz Shahriari-Mehr , Ashkan Panahi

This work proposes a rapid algorithm, BM-Global, for nuclear-norm-regularized convex and low-rank matrix optimization problems. BM-Global efficiently decreases the objective value via low-cost steps leveraging the nonconvex but smooth…

机器学习 · 计算机科学 2026-02-13 Ching-pei Lee , Ling Liang , Tianyun Tang , Kim-Chuan Toh

We propose an adaptive approach for non local means (NLM) image filtering termed as non local adaptive clipped means (NLACM), which reduces the effect of outliers and improves the denoising quality as compared to traditional NLM. Common…

计算机视觉与模式识别 · 计算机科学 2014-12-10 Raka Kundu , Amlan Chakrabarti , Prasanna Lenka

We introduce a derivative-free global optimization algorithm that efficiently computes minima for various classes of one-dimensional functions, including non-convex, and non-smooth functions.This algorithm numerically approximates the…

最优化与控制 · 数学 2023-08-21 Alexandra A. Gomes , Diogo A. Gomes

Many science and engineering applications feature non-convex optimization problems where the objective function can not be handled analytically, i.e. it is a black box. Examples include design optimization via experiments, or via costly…

最优化与控制 · 数学 2022-02-18 Lorenzo Sabug , Fredy Ruiz , Lorenzo Fagiano

In computer science, there exist a large number of optimization problems defined on graphs, that is to find a best node state configuration or a network structure such that the designed objective function is optimized under some…

机器学习 · 计算机科学 2020-04-17 Yaoxin Li , Jing Liu , Guozheng Lin , Yueyuan Hou , Muyun Mou , Jiang Zhang

Global localization and kidnapping are two challenging problems in robot localization. The popular method, Monte Carlo Localization (MCL) addresses the problem by iteratively updating a set of particles with a "sampling-weighting" loop.…

机器人学 · 计算机科学 2021-02-19 Runjian Chen , Huan Yin , Yanmei Jiao , Gamini Dissanayake , Yue Wang , Rong Xiong

This paper considers decentralized dynamic optimization problems where nodes of a network try to minimize a sequence of time-varying objective functions in a real-time scheme. At each time slot, nodes have access to different summands of an…

最优化与控制 · 数学 2016-03-29 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

In this paper we study a variational problem in the space of functions of bounded Hessian. Our model constitutes a straightforward higher-order extension of the well known ROF functional (total variation minimisation) to which we add a…

数值分析 · 数学 2013-08-09 Konstantinos Papafitsoros , Carola-Bibiane Schönlieb
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