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In this work, we study dynamic programming (DP) algorithms for partially observable Markov decision processes with jointly continuous and discrete state-spaces. We consider a class of stochastic systems which have coupled discrete and…

Optimization and Control · Mathematics 2019-03-07 Donghwan Lee , Niao He , Jianghai Hu

Deformable object manipulation is a long-standing challenge in robotics. While existing approaches often focus narrowly on a specific type of object, we seek a general-purpose algorithm, capable of manipulating many different types of…

Robotics · Computer Science 2024-05-03 Siwei Chen , Yiqing Xu , Cunjun Yu , Linfeng Li , David Hsu

Robot design optimization, imitation learning and system identification share a common problem which requires optimization over robot or task parameters at the same time as optimizing the robot motion. To solve these problems, we can use…

Robotics · Computer Science 2022-09-05 Traiko Dinev , Carlos Mastalli , Vladimir Ivan , Steve Tonneau , Sethu Vijayakumar

An important field in robotics is the optimization of controllers. Currently, robots are often treated as a black box in this optimization process, which is the reason why derivative-free optimization methods such as evolutionary algorithms…

Neural and Evolutionary Computing · Computer Science 2018-11-27 Jonas Degrave , Michiel Hermans , Joni Dambre , Francis wyffels

This paper presents a real-time optimization method for nonlinear model predictive control (NMPC) of systems governed by partial differential equations (PDEs). The NMPC problem to be solved is formulated by discretizing the PDE system in…

Optimization and Control · Mathematics 2020-04-07 Haoyang Deng , Toshiyuki Ohtsuka

Polarization is a degree of freedom of light carrying important information that is usually absent in intensity and spectral content. Imaging polarimetry is the process of determining the polarization state of light, either partially or…

Optics · Physics 2018-03-12 Ehsan Arbabi , Seyedeh Mahsa Kamali , Amir Arbabi , Andrei Faraon

This paper presents a systematic method for transforming states of polarization (SoPs) into any arbitrary target SoPs, whether linear or elliptical, by determining the precise waveplate rotation angles required for the transformation.…

Optics · Physics 2025-01-28 Joong-Seon Choe , Chun Ju Youn

The complexities in the dynamic model of the legged robots make it necessary to utilize model-free controllers in the task of trajectory tracking. In This paper, an adaptive transpose Jacobian approach is proposed to deal with the dynamic…

Robotics · Computer Science 2025-04-15 Hossein Shojaei , Hamid Rahmanei , Seyed Hossein Sadati

Many optimization problems require balancing multiple conflicting objectives. As gradient descent is limited to single-objective optimization, we introduce its direct generalization: Jacobian descent (JD). This algorithm iteratively updates…

Machine Learning · Computer Science 2025-02-04 Pierre Quinton , Valérian Rey

Generalized Polynomial Chaos (gPC) theory has been widely used for representing parametric uncertainty in a system, thanks to its ability to propagate uncertainty evolution. In an optimal control context, gPC can be combined with several…

Optimization and Control · Mathematics 2021-10-05 Yuichiro Aoyama , Augustinos D. Saravanos , Evangelos A. Theodorou

Mirroring the complex structures and diverse functions of natural organisms is a long-standing challenge in robotics. Modern fabrication techniques have greatly expanded the feasible hardware, but using these systems requires control…

Robotics · Computer Science 2025-08-01 Sizhe Lester Li , Annan Zhang , Boyuan Chen , Hanna Matusik , Chao Liu , Daniela Rus , Vincent Sitzmann

Precise optical phase control is crucial for innovations in telecommunications, optical computing, quantum information processing, and advanced sensing. However, conventional phase modulators often introduce parasitic amplitude modulation…

Optics · Physics 2025-05-23 Alex Krasnok

We develop a novel form of differentiable predictive control (DPC) with safety and robustness guarantees based on control barrier functions. DPC is an unsupervised learning-based method for obtaining approximate solutions to explicit model…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Wenceslao Shaw Cortez , Jan Drgona , Aaron Tuor , Mahantesh Halappanavar , Draguna Vrabie

Automated vehicles and logistics robots must often position themselves in narrow environments with high precision in front of a specific target, such as a package or their charging station. Often, these docking scenarios are solved in two…

Robotics · Computer Science 2025-04-07 Oliver Schumann , Michael Buchholz , Klaus Dietmayer

Trajectory optimization is a fundamental problem in robotics. While optimization of continuous control trajectories is well developed, many applications require both discrete and continuous, i.e., hybrid, controls. Finding an optimal…

Robotics · Computer Science 2017-03-03 Joni Pajarinen , Ville Kyrki , Michael Koval , Siddhartha Srinivasa , Jan Peters , Gerhard Neumann

Polarization-resolved control and measurement of the optical field are essential for a wide range of photonic systems, including coherent communication, polarimetric sensing, and quantum information processing. We present a photonic…

We present a data-efficient algorithm for learning models for model-predictive control (MPC). Our approach, Jacobian-Regularized Dynamic-Mode Decomposition (JDMD), offers improved sample efficiency over traditional Koopman approaches based…

Robotics · Computer Science 2023-01-31 Brian E. Jackson , Jeong Hun Lee , Kevin Tracy , Zachary Manchester

Model Predictive Control (MPC) is effective at generating safe control strategies in constrained scenarios, at the cost of computational complexity. This is especially the case in robots that require high sampling rates and have limited…

Abstract: The ability to arbitrarily and flexibly control the polarization of light, including both the state of polarization (SoP) and the degree of polarization (DoP), is highly important for quantum optics, polarization imaging, and…

Optics · Physics 2025-01-13 Zhi Cheng , Zhou Zhou , Zhuo Wang , Yue Wang , Changyuan Yu

Optical phase conjugation (OPC) is a nonlinear technique used for counteracting wavefront distortions, with various applications ranging from imaging to beam focusing. Here, we present the design of a diffractive wavefront processor to…

Optics · Physics 2024-06-13 Che-Yung Shen , Jingxi Li , Tianyi Gan , Mona Jarrahi , Aydogan Ozcan