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We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

最优化与控制 · 数学 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

Singular configurations cause loss of task-space mobility, unbounded joint velocities, and solver divergence in inverse kinematics (IK) for serial manipulators. No existing survey bridges classical singularity-robust IK with rapidly growing…

机器人学 · 计算机科学 2026-04-16 Vishnu Rudrasamudram , Hariharasudan Malaichamee

Robust dynamic interactions are required to move robots in daily environments alongside humans. Optimisation and learning methods have been used to mimic and reproduce human movements. However, they are often not robust and their…

机器人学 · 计算机科学 2022-07-14 Carlo Tiseo , Quentin Rouxel , Zhibin Li , Michael Mistry

Motion planning schemes are used for planning motions of a manipulator from an initial pose to a final pose during a task execution. A motion planning scheme generally comprises of a trajectory planning method and an inverse kinematic…

机器人学 · 计算机科学 2025-12-04 Shifa Sulaiman , Amarnath H , Simon Bogh , Naresh Marturi

Achieving human-like motion in robots has been a fundamental goal in many areas of robotics research. Inverse kinematic (IK) solvers have been explored as a solution to provide kinematic structures with anthropomorphic movements. In…

机器人学 · 计算机科学 2020-10-14 Glebys Gonzalez , Juan Wachs

Although inverse kinematics of serial manipulators is a well studied problem, challenges still exist in finding smooth feasible solutions that are also collision aware. Furthermore, with collaborative service robots gaining traction,…

机器人学 · 计算机科学 2023-11-01 Salih Marangoz , Rohit Menon , Nils Dengler , Maren Bennewitz

Inverse Kinematics (IK) solves the problem of mapping from the Cartesian space to the joint configuration space of a robotic arm. It has a wide range of applications in areas such as computer graphics, protein structure prediction, and…

机器人学 · 计算机科学 2022-08-30 Chi-Kai Ho , Chung-Ta King

In recent years, attention has been focused on the relationship between black-box optimiza- tion problem and reinforcement learning problem. In this research, we propose the Mirror Descent Search (MDS) algorithm which is applicable both for…

机器学习 · 计算机科学 2018-05-15 Megumi Miyashita , Shiro Yano , Toshiyuki Kondo

In this paper, we examine the convergence of mirror descent in a class of stochastic optimization problems that are not necessarily convex (or even quasi-convex), and which we call variationally coherent. Since the standard technique of…

最优化与控制 · 数学 2018-07-17 Zhengyuan Zhou , Panayotis Mertikopoulos , Nicholas Bambos , Stephen Boyd , Peter Glynn

This paper introduces the Visual Inverse Kinematics problem (VIK) to fill the gap between robot Inverse Kinematics (IK) and visual servo control. Different from the IK problem, the VIK problem seeks to find robot configurations subject to…

机器人学 · 计算机科学 2024-06-18 Liangting Wu , Roberto Tron

To solve distributed optimization efficiently with various constraints and nonsmooth functions, we propose a distributed mirror descent algorithm with embedded Bregman damping, as a generalization of conventional distributed…

最优化与控制 · 数学 2021-08-30 Guanpu Chen , Weijian Li , Gehui Xu , Yiguang Hong

This paper revisits the numerical inverse kinematics (IK) problem, leveraging modern computational resources and refining the seed selection process to develop a solver that is competitive with analytical-based methods. The proposed seed…

机器人学 · 计算机科学 2025-03-31 Xinyi Yuan , Weiwei Wan , Kensuke Harada

Recently, adversarial imitation learning has shown a scalable reward acquisition method for inverse reinforcement learning (IRL) problems. However, estimated reward signals often become uncertain and fail to train a reliable statistical…

机器学习 · 计算机科学 2023-01-06 Dong-Sig Han , Hyunseo Kim , Hyundo Lee , Je-Hwan Ryu , Byoung-Tak Zhang

Inspired by the recent paper (L. Ying, Mirror descent algorithms for minimizing interacting free energy, Journal of Scientific Computing, 84 (2020), pp. 1-14),we explore the relationship between the mirror descent and the variable metric…

最优化与控制 · 数学 2021-06-28 Li Wang , Ming Yan

We present implicit-explicit (IMEX) kinetic simulations of weakly collisional parallel plasma transport in magnetic mirror configurations using the continuum code \textsc{COGENT}. The numerical scheme employs a Jacobian-free Newton--Krylov…

等离子体物理 · 物理学 2025-10-09 M. Dorf , M. Dorr , V. Geyko , D. Ghosh , M. Umansky , J. Angus

This paper presents a forward kinematics and analytical Jacobian computation approach for real-time control of a novel magnetic resonance imaging (MRI)-actuated robotic catheter. The MRI-actuated robotic catheter is modeled as a series of…

系统与控制 · 电气工程与系统科学 2025-12-30 Ran Hao , Yuttana Itsarachaiyot , Yen-Chun Chen , M. Cenk Çavuşoğlu

Constrained competitive optimization involves multiple agents trying to minimize conflicting objectives, subject to constraints. This is a highly expressive modeling language that subsumes most of modern machine learning. In this work we…

最优化与控制 · 数学 2020-06-19 Florian Schäfer , Anima Anandkumar , Houman Owhadi

Many problems in machine learning can be formulated as optimizing a convex functional over a vector space of measures. This paper studies the convergence of the mirror descent algorithm in this infinite-dimensional setting. Defining Bregman…

最优化与控制 · 数学 2022-10-12 Pierre-Cyril Aubin-Frankowski , Anna Korba , Flavien Léger

Real time calculation of inverse kinematics (IK) with dynamically stable configuration is of high necessity in humanoid robots as they are highly susceptible to lose balance. This paper proposes a methodology to generate joint-space…

机器人学 · 计算机科学 2018-02-01 S Phaniteja , Parijat Dewangan , Pooja Guhan , Abhishek Sarkar , K Madhava Krishna

Learning-to-optimize is an emerging framework that seeks to speed up the solution of certain optimization problems by leveraging training data. Learned optimization solvers have been shown to outperform classical optimization algorithms in…

最优化与控制 · 数学 2023-02-27 Hong Ye Tan , Subhadip Mukherjee , Junqi Tang , Carola-Bibiane Schönlieb