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Rotation estimation plays a fundamental role in many computer vision and robot tasks. However, efficiently estimating rotation in large inputs containing numerous outliers (i.e., mismatches) and noise is a recognized challenge. Many robust…

计算机视觉与模式识别 · 计算机科学 2025-02-11 Taosi Xu , Yinlong Liu , Xianbo Wang , Zhi-Xin Yang

We consider non-differentiable dynamic optimization problems such as those arising in robotics and subspace tracking. Given the computational constraints and the time-varying nature of the problem, a low-complexity algorithm is desirable,…

最优化与控制 · 数学 2019-02-20 Rishabh Dixit , Amrit Singh Bedi , Ruchi Tripathi , Ketan Rajawat

Point discretization of curved surfaces is required in many applications ranging from object rendering to the solution of surface partial differential equations (PDEs). These applications often impose that surfaces are sampled with local…

计算工程、金融与科学 · 计算机科学 2026-05-06 Lennart J. Schulze , Ivo F. Sbalzarini

This paper develops a robust angles-only IROD method based on polynomial optimization for arbitrary nonlinear dynamics. First, the relative motion is approximated by high-order Taylor polynomials within the differential algebra framework,…

天体物理仪器与方法 · 物理学 2026-04-28 Xingyu Zhou , Malcolm Macdonald , Roberto Armellin , Dong Qiao , Xiangyu Li

Most existing methodologies of estimating low-rank matrices rely on Burer-Monteiro factorization, but these approaches can suffer from slow convergence, especially when dealing with solutions characterized by a large condition number,…

最优化与控制 · 数学 2024-03-06 Teng Zhang , Xing Fan

We consider in this paper a class of composite optimization problems whose objective function is given by the summation of a general smooth and nonsmooth component, together with a relatively simple nonsmooth term. We present a new class of…

最优化与控制 · 数学 2015-10-27 Guanghui Lan

Decentralized distributed optimization over time-varying graphs (networks) is nowadays a very popular branch of research in optimization theory and consensus theory. One of the motivations to consider such networks is an application to…

最优化与控制 · 数学 2020-06-24 Alexander Rogozin , Alexander Gasnikov

We present the design of a low-cost wheeled mobile robot, and an analytical model for predicting its motion under the influence of motor torques and friction forces. Using our proposed model, we show how to analytically compute the gradient…

机器人学 · 计算机科学 2020-09-25 Yanshi Luo , Abdeslam Boularias , Mridul Aanjaneya

In this paper, we will show an unprecedented method to accelerate training and improve performance, which called random gradient (RG). This method can be easier to the training of any model without extra calculation cost, we use Image…

机器学习 · 计算机科学 2018-08-22 Jiakai Wei

There is a recent surge of interest in nonconvex reformulations via low-rank factorization for stochastic convex semidefinite optimization problem in the purpose of efficiency and scalability. Compared with the original convex formulations,…

最优化与控制 · 数学 2018-02-27 Jinshan Zeng , Ke Ma , Yuan Yao

The rapid progress in machine learning in recent years has been based on a highly productive connection to gradient-based optimization. Further progress hinges in part on a shift in focus from pattern recognition to decision-making and…

机器学习 · 计算机科学 2024-02-27 Neha S. Wadia , Yatin Dandi , Michael I. Jordan

This paper introduces a novel approach for image and video orientation estimation by leveraging depth distribution in natural images. The proposed method estimates the orientation based on the depth distribution across different quadrants…

计算机视觉与模式识别 · 计算机科学 2026-04-16 Muhammad Z. Alam , Larry Stetsiuk , M. Umair Mukati , Zeeshan Kaleem

In this paper, a reduced-rank scheme with joint iterative optimization is presented for direction of arrival estimation. A rank-reduction matrix and an auxiliary reduced-rank parameter vector are jointly optimized to calculate the output…

数据结构与算法 · 计算机科学 2016-11-17 L. Wang , R. C. de Lamare , M. Haardt

Online nonparametric estimators are gaining popularity due to their efficient computation and competitive generalization abilities. An important example includes variants of stochastic gradient descent. These algorithms often take one…

统计理论 · 数学 2025-07-08 Tianyu Zhang , Jing Lei

In this work, we propose an optimization algorithm which we call norm-adapted gradient descent. This algorithm is similar to other gradient-based optimization algorithms like Adam or Adagrad in that it adapts the learning rate of stochastic…

机器学习 · 计算机科学 2020-10-14 David Sprunger

In spite of the accomplishments of deep learning based algorithms in numerous applications and very broad corresponding research interest, at the moment there is still no rigorous understanding of the reasons why such algorithms produce…

统计理论 · 数学 2020-03-04 Arnulf Jentzen , Timo Welti

The development of machine learning is promoting the search for fast and stable minimization algorithms. To this end, we suggest a change in the current gradient descent methods that should speed up the motion in flat regions and slow it…

机器学习 · 计算机科学 2019-06-13 Marco Baiesi

There are many approaches for training decision trees. This work introduces a novel gradient-based method for constructing decision trees that optimize arbitrary differentiable loss functions, overcoming the limitations of heuristic…

机器学习 · 计算机科学 2025-03-25 Andrei V. Konstantinov , Lev V. Utkin

Online minimization of an unknown convex function over the interval $[0,1]$ is considered under first-order stochastic bandit feedback, which returns a random realization of the gradient of the function at each query point. Without knowing…

机器学习 · 统计学 2020-02-21 Sattar Vakili , Sudeep Salgia , Qing Zhao

In this work, we revisit a classical distributed gradient-descent algorithm, introducing an interesting class of perturbed multi-agent systems. The state of each subsystem represents a local estimate of a solution to the global optimization…

最优化与控制 · 数学 2025-09-04 Tarek Bazizi , Mohamed Maghenem , Paolo Frasca , Antonio Lorìa , Elena Panteley