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We propose an algorithm for generating explicit solutions of multiparametric mixed-integer convex programs to within a given suboptimality tolerance. The algorithm is applicable to a very general class of optimization problems, but is most…

Optimization and Control · Mathematics 2019-06-12 Danylo Malyuta , Behcet Acikmese

The research in parallel machine scheduling in combinatorial optimization suggests that the desirable parallel efficiency could be achieved when the jobs are sorted in the non-increasing order of processing times. In this paper, we find…

Numerical Analysis · Mathematics 2012-02-15 Lei Wang , Heng Liang , Fengshan Bai , Yan Huo

This paper analyses the workspace of the three-revolute orthogonal manipulators that have at least one of their DH parameters equal to zero. These manipulators are classified into different groups with similar kinematic properties. The…

Robotics · Computer Science 2007-07-25 Mazen Zein , Philippe Wenger , Damien Chablat

Evolutionary methods are effective tools for obtaining high-quality results when solving hard practical problems. Linkage learning may increase their effectiveness. One of the state-of-the-art methods that employ linkage learning is the…

Neural and Evolutionary Computing · Computer Science 2020-09-21 Michal Witold Przewozniczek , Piotr Dziurzanski , Shuai Zhao , Leandro Soares Indrusiak

We present a model-predictive control (MPC) framework for legged robots that avoids the singularities associated with common three-parameter attitude representations like Euler angles during large-angle rotations. Our method parameterizes…

Robotics · Computer Science 2024-09-18 Zixin Zhang , John Z. Zhang , Shuo Yang , Zachary Manchester

We present a method for improving the efficiency and user experience of freeform illumination design with machine learning. By utilizing orthogonal polynomials to interface with artificial neural networks, we are able to generalize…

Machine Learning · Computer Science 2019-03-28 Caleb Gannon , Rongguang Liang

This paper describes a new parallel kinematic architecture for machining applications: the orthoglide. This machine features three fixed parallel linear joints which are mounted orthogonally and a mobile platform which moves in the…

Robotics · Computer Science 2007-07-26 Philippe Wenger , Damien Chablat

The optimal robot assembly planning problem is challenging due to the necessity of finding the optimal solution amongst an exponentially vast number of possible plans, all while satisfying a selection of constraints. Traditionally, robotic…

Robotics · Computer Science 2025-02-25 Kartik Nagpal , Negar Mehr

This paper presents different methods for solving parallel machine scheduling problems with precedence constraints and setup times between the jobs. Limited discrepancy search methods mixed with local search principles, dominance conditions…

Data Structures and Algorithms · Computer Science 2009-02-19 Bernat Gacias , Christian Artigues , Pierre Lopez

In this paper, an analytical method that solves the forward displacement problem of several common spherical parallel manipulators (SPMs) is presented. The method uses the the quaternion algebra to restate the problem as a system of four…

Numerical Analysis · Mathematics 2012-03-28 Jose Rodriguez , Maurizio Ruggiu

Assembling furniture amounts to solving the discrete-continuous optimization task of selecting the furniture parts to assemble and estimating their connecting poses in a physically realistic manner. The problem is hampered by its…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Jiahao Zhang , Anoop Cherian , Cristian Rodriguez , Weijian Deng , Stephen Gould

We study the stability of regularization by projection for solving linear inverse problems if the forward operator is given indirectly but specified via some input-output training pairs. We extend the approach in "Data driven regularization…

Numerical Analysis · Mathematics 2025-08-12 Martin Hanke , Otmar Scherzer

A sequential application of the Grover algorithm to solve the iterated search problem has been improved by Ozhigov by parallelizing the application of the oracle. In this work a representation of the parallel Grover as dynamic system of…

Quantum Physics · Physics 2018-08-13 Alexander Goscinski

This paper presents a systematic approach for computing local solutions to motion planning problems in non-convex environments using numerical optimal control techniques. It extends the range of use of state-of-the-art numerical optimal…

Optimization and Control · Mathematics 2017-10-03 Kristoffer Bergman , Daniel Axehill

Redundant parallel robots are normally employed in scenarios requiring good precision, high load capability, and large workspace compared to traditional parallel mechanisms. However, the elementary robotic configuration and geometric…

Robotics · Computer Science 2025-12-17 Quan Yuan , Daqian Cao , Weibang Bai

The paper proposes a novel regularization procedure for machine learning. The proposed high-order regularization (HR) provides new insight into regularization, which is widely used to train a neural network that can be utilized to…

Machine Learning · Computer Science 2025-05-14 Xinghua Liu , Ming Cao

Algebraic and analytic aspects of self-adjoint operators of order four or more with polynomial coefficients are investigated. As a consequence, a systematic way of constructing such operators is given. The procedure is applied to obtain…

Classical Analysis and ODEs · Mathematics 2014-09-10 H. Azad , A. Laradji , M. T. Mustafa

In this paper, we propose SCALAR, a calibration method to simultaneously calibrate the kinematic parameters of a 6-DoF robot and the extrinsic parameters of a 2D Laser Range Finder (LRF) attached to the robot's flange. The calibration setup…

Robotics · Computer Science 2019-08-13 Teguh Santoso Lembono , Francisco Suárez-Ruiz , Quang-Cuong Pham

This paper aims to design an optimal stability controller for a point to point trajectory tracking 3 degree of freedom articulated manipulator. The DH convention is used to obtain the forward and inverse kinematics of the manipulator. The…

Robotics · Computer Science 2020-10-27 Prathamesh Saraf , R. N. Ponnalagu

We consider the tuning parameter selection rules for nuclear norm regularized multivariate linear regression (NMLR) in high-dimensional setting. High-dimensional multivariate linear regression is widely used in statistics and machine…

Statistics Theory · Mathematics 2019-01-23 Pan Shang , Lingchen Kong