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This paper proposes a deep recurrent Rotation Averaging Graph Optimizer (RAGO) for Multiple Rotation Averaging (MRA). Conventional optimization-based methods usually fail to produce accurate results due to corrupted and noisy relative…

Computer Vision and Pattern Recognition · Computer Science 2022-12-15 Heng Li , Zhaopeng Cui , Shuaicheng Liu , Ping Tan

We develop a new Riemannian descent algorithm that relies on momentum to improve over existing first-order methods for geodesically convex optimization. In contrast, accelerated convergence rates proved in prior work have only been shown to…

Optimization and Control · Mathematics 2021-02-16 Foivos Alimisis , Antonio Orvieto , Gary Bécigneul , Aurelien Lucchi

Objective functions in large-scale machine-learning and artificial intelligence applications often live in high dimensions with strong non-convexity and massive local minima. First-order methods, such as the stochastic gradient method and…

Optimization and Control · Mathematics 2020-12-10 Jingrun Chen , Shi Jin , Liyao Lyu

This paper proposes an optimized mapping of the FIR filter algorithm that enhances the rate of a reconfigurable computer over a basic mapping previously proposed [1]. It also presents a new interconnection scheme in the reconfigurable part…

Signal Processing · Electrical Eng. & Systems 2019-04-12 Hassan Diab , Issam Damaj , Fadi Kurdahi

In this paper, we design a set of multi-objective constrained optimization problems (MCOPs) and propose a new repair operator to address them. The proposed repair operator is used to fix the solutions that violate the box constraints. More…

Neural and Evolutionary Computing · Computer Science 2015-04-02 Zhun Fan , Wenji Li , Xinye Cai , Huibiao Lin , Shuxiang Xie , Erik Goodman

This paper propose a new frame work for finding global minima which we call optimization by cut. In each iteration, it takes some samples from the feasible region and evaluates the objective function at these points. Based on the…

Systems and Control · Electrical Eng. & Systems 2022-07-14 Yuanyuan Liu

Gradient Descent (GD) is a ubiquitous algorithm for finding the optimal solution to an optimization problem. For reduced computational complexity, the optimal solution $\mathrm{x^*}$ of the optimization problem must be attained in a minimum…

Optimization and Control · Mathematics 2023-06-01 Revati Gunjal , Sushama Wagh , Syed Shadab Nayyer , Alex Stankovic , Navdeep M. Singh

Achieving global optimality in nonlinear model predictive control (NMPC) is challenging due to the non-convex nature of the underlying optimization problem. Since commonly employed local optimization techniques depend on carefully chosen…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Tzu-Yuan Huang , Armin Lederer , Nicolas Hoischen , Jan Brüdigam , Xuehua Xiao , Stefan Sosnowski , Sandra Hirche

This paper proposes an algorithmic technique for a class of optimal control problems where it is easy to compute a pointwise minimizer of the Hamiltonian associated with every applied control. The algorithm operates in the space of relaxed…

Optimization and Control · Mathematics 2016-03-10 M. T. Hale , Y. Wardi , H. Jaleel , M. Egerstedt

We address rotation averaging (RA) and its application to real-world 3D reconstruction. Local optimisation based approaches are the de facto choice, though they only guarantee a local optimum. Global optimisers ensure global optimality in…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Yu Chen , Ji Zhao , Laurent Kneip

This work focuses on the optimization of the training trajectory orientation using a robot as an advanced exercise machine (AEM) and muscle activations as biofeedback. Muscle recruitment patterns depend on trajectory parameters of the AEMs…

Robotics · Computer Science 2021-04-26 Humberto De las Casas , Nicholas Chambers , Hanz Richter , Kenneth Sparks

We present a multi-objective evolutionary optimization algorithm that uses Gaussian process (GP) regression-based models to select trial solutions in a multi-generation iterative procedure. In each generation, a surrogate model is…

Neural and Evolutionary Computing · Computer Science 2020-05-22 Xiaobiao Huang , Minghao Song , Zhe Zhang

The Switch Point Algorithm is a new approach for solving optimal control problems whose solutions are either singular or bang-bang or both singular and bang-bang, and which possess a finite number of jump discontinuities in an optimal…

Optimization and Control · Mathematics 2021-07-20 Mahya Aghaee , William W. Hager

Hyper-parameter optimization is one of the most tedious yet crucial steps in training machine learning models. There are numerous methods for this vital model-building stage, ranging from domain-specific manual tuning guidelines suggested…

Machine Learning · Computer Science 2023-03-08 Ahmad Esmaeili , Zahra Ghorrati , Eric T. Matson

Multi-modal optimization involves identifying multiple global and local optima of a function, offering valuable insights into diverse optimal solutions within the search space. Evolutionary algorithms (EAs) excel at finding multiple…

Neural and Evolutionary Computing · Computer Science 2025-09-09 Dikshit Chauhan , Shivani , Donghwi Jung , Anupam Yadav

In this paper, we showcase the interplay between discrete and continuous optimization in network-structured settings. We propose the first fully decentralized optimization method for a wide class of non-convex objective functions that…

Optimization and Control · Mathematics 2018-02-13 Aryan Mokhtari , Hamed Hassani , Amin Karbasi

In this paper, we consider the problem of periodic optimal control of nonlinear systems subject to online changing and periodically time-varying economic performance measures using model predictive control (MPC). The proposed economic MPC…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Numerous problems in optics, quantum physics, stability analysis, and control of dynamical systems can be brought to an optimization problem with matrix variable subjected to the symplecticity constraint. As this constraint nicely forms a…

Optimization and Control · Mathematics 2022-11-18 Bin Gao , Nguyen Thanh Son , Tatjana Stykel

In Model Predictive Control (MPC) the control input is computed by solving a constrained finite-time optimal control (CFTOC) problem at each sample in the control loop. The main computational effort is often spent on computing the search…

Optimization and Control · Mathematics 2017-03-23 Isak Nielsen , Daniel Axehill

To keep up with constantly growing user demands for services with higher quality and bandwidth requirements, telecommunication operators are forced to upgrade their networks. This upgrade, or migration of the network to a new technology, is…

Networking and Internet Architecture · Computer Science 2020-03-30 Sai Kireet Patri , Elena Grigoreva , Wolfgang Kellerer , Carmen Mas Machuca
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