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In many learning settings, it is beneficial to augment the main features with pairwise interactions. Such interaction models can be often enhanced by performing variable selection under the so-called strong hierarchy constraint: an…

Machine Learning · Statistics 2020-07-15 Hussein Hazimeh , Rahul Mazumder

This study focuses on using direct methods (first-discretize-then-optimize) to solve optimal control problems for a class of nonsmooth dynamical systems governed by differential variational inequalities (DVI), called optimal control…

Optimization and Control · Mathematics 2025-12-04 Kangyu Lin , Toshiyuki Ohtsuka

Aerial manipulation for safe physical interaction with their environments is gaining significant momentum in robotics research. In this paper, we present a disturbance-observer-based safety-critical control for a fully actuated aerial…

Robotics · Computer Science 2025-01-29 Jeonghyun Byun , Yeonjoon Kim , Dongjae Lee , H. Jin Kim

Nonlinear optimal control problems for trajectory planning with obstacle avoidance present several challenges. While general-purpose optimizers and dynamic programming methods struggle when adopted separately, their combination enabled by a…

Optimization and Control · Mathematics 2024-08-09 Rebecca Richter , Alberto De Marchi , Matthias Gerdts

Differentiable physics simulation provides an avenue to tackle previously intractable challenges through gradient-based optimization, thereby greatly improving the efficiency of solving robotics-related problems. To apply differentiable…

Robotics · Computer Science 2025-04-08 Min Liu , Gang Yang , Siyuan Luo , Lin Shao

Handheld paradigms offer an efficient and intuitive way for collecting large-scale demonstration of robot manipulation. However, achieving contact-rich bimanual manipulation through these methods remains a pivotal challenge, which is…

Robotics · Computer Science 2026-04-09 Longyan Wu , Jieji Ren , Chenghang Jiang , Junxi Zhou , Shijia Peng , Ran Huang , Guoying Gu , Li Chen , Hongyang Li

Collisions are common in many dynamical systems with real applications. They can be formulated as hybrid dynamical systems with discontinuities automatically triggered when states transverse certain manifolds. We present an algorithm for…

Optimization and Control · Mathematics 2025-01-20 Wei Hu , Jihao Long , Yaohua Zang , Weinan E , Jiequn Han

Contact-rich dexterous manipulation with multi-finger hands remains an open challenge in robotics because task success depends on multi-point contacts that continuously evolve and are highly sensitive to object geometry, frictional…

We introduce a comprehensive framework for the detection and demodulation of covert electromagnetic signals using solid-state spin sensors. Our approach, named RAPID, is a two-stage hybrid strategy that leverages nitrogen-vacancy (NV)…

Quantum Physics · Physics 2025-09-11 Amirhossein Taherpour , Abbas Taherpour , Tamer Khattab

We present a framework for the simulation of rigid and deformable bodies in the presence of contact and friction. Our method is based on a non-smooth Newton iteration that solves the underlying nonlinear complementarity problems (NCPs)…

Dexterous manipulation with contact-rich interactions is crucial for advanced robotics. While recent diffusion-based planning approaches show promise for simple manipulation tasks, they often produce unrealistic ghost states (e.g., the…

Robotics · Computer Science 2025-06-18 Zhixuan Liang , Yao Mu , Yixiao Wang , Tianxing Chen , Wenqi Shao , Wei Zhan , Masayoshi Tomizuka , Ping Luo , Mingyu Ding

The recently introduced Gradient Methods with Memory use a subset of the past oracle information to create an accurate model of the objective function that enables them to surpass the Gradient Method in practical performance. The model…

Optimization and Control · Mathematics 2024-01-30 Mihai I. Florea

In this paper, we investigate the synthesis of piecewise affine feedback controllers to address the problem of safe and robust controller design in robotics based on high-level controls specifications. The methodology is based on…

Robotics · Computer Science 2016-10-10 Marijan Vukosavljev , Ivo Jansen , Mireille E. Broucke , Angela P. Schoellig

We introduce a new closed-loop architecture for the online solution of approximate optimal control problems in the context of continuous-time systems. Specifically, we introduce the first algorithm that incorporates dynamic momentum in…

Optimization and Control · Mathematics 2022-04-28 Daniel E. Ochoa , Jorge I. Poveda

Heavy-duty operations, typically performed using heavy-duty hydraulic manipulators (HHMs), are susceptible to environmental contact due to tracking errors or sudden environmental changes. Therefore, beyond precise control design, it is…

Robotics · Computer Science 2024-08-20 Mahdi Hejrati , Jouni Mattila

Multi-objective reinforcement learning in robotic domains requires balancing complex, non-convex trade-offs between conflicting objectives. While linear scalarization methods provide stability, they are theoretically incapable of recovering…

Robotics · Computer Science 2026-05-14 Alejandro Murillo-Gonzalez , Mahmoud Ali , Lantao Liu

This article aims to provide an accessible, tutorial-style introduction to hybrid extremum-seeking systems, which are model-free, feedback-optimization controllers that incorporate hybrid dynamics, meaning both continuous-time and…

Optimization and Control · Mathematics 2025-12-18 Jorge I. Poveda , Andrew R. Teel

Modeling contact mechanics with high contrast coefficients presents significant mathematical and computational challenges, especially in achieving strongly symmetric stress approximations for mixed formulations. Due to the inherent…

Numerical Analysis · Mathematics 2026-02-17 Eric T. Chung , Hyea Hyun Kim , Xiang Zhong

Ensuring that reinforcement learning (RL) controllers satisfy safety and reliability constraints in real-world settings remains challenging: state-avoidance and constrained Markov decision processes often fail to capture trajectory-level…

Machine Learning · Computer Science 2026-04-06 Alper Kamil Bozkurt , Calin Belta , Ming C. Lin

We develop an autonomous navigation algorithm for a robot operating in two-dimensional environments containing obstacles, with arbitrary non-convex shapes, which can be in close proximity with each other, as long as there exists at least…

Robotics · Computer Science 2024-04-16 Mayur Sawant , Ilia Polushin , Abdelhamid Tayebi
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