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Closed-loop optimal control design for high-dimensional nonlinear systems has been a long-standing challenge. Traditional methods, such as solving the associated Hamilton-Jacobi-Bellman equation, suffer from the curse of dimensionality.…

Optimization and Control · Mathematics 2026-01-01 Xuanxi Zhang , Jihao Long , Wei Hu , Weinan E , Jiequn Han

We propose a Model Predictive Control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected sum of convex stage costs for constrained linear uncertain systems.…

Optimization and Control · Mathematics 2025-04-24 Eunhyek Joa , Francesco Borrelli

We introduce a sample-efficient method for learning state-dependent stiffness control policies for dexterous manipulation. The ability to control stiffness facilitates safe and reliable manipulation by providing compliance and robustness to…

Robotics · Computer Science 2021-09-16 Mincheol Kim , Scott Niekum , Ashish D. Deshpande

SMOTE (Synthetic Minority Oversampling Technique) is the established geometric approach to random oversampling to balance classes in the imbalanced learning problem, followed by many extensions. Its idea is to introduce synthetic data…

Machine Learning · Computer Science 2025-03-06 Oleg Kachan , Andrey Savchenko , Gleb Gusev

An innovative numerical algorithm for solving infinite-horizon optimal control problems is introduced in this paper, using the IsoCost-HyperSurface (ICHS) concept. In the state space of an optimal control system, an ICHS is defined as a set…

Systems and Control · Electrical Eng. & Systems 2022-09-15 Saeed Rahimi , Amir Salimi Lafmejani , Ahmad Kalhor

The canonical proportional-integral-derivative (PID) control approach has been widely used in industrial application due to their simplicity and ease of use. However, its corresponding controller parameters are hard to be adjusted,…

Optimization and Control · Mathematics 2020-05-05 Xiaojun Zhou

An innovative evolutionary method for the dynamic control of reconfigurable intelligent surfaces (RISs) is proposed. It leverages, on the one hand, on the exploration capabilities of evolutionary strategies and their effectiveness in…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Francesco Zardi , Giacomo Oliveri , Andrea Massa

This paper is concerned with the convergence rate of policy iteration for (deterministic) optimal control problems in continuous time. To overcome the problem of ill-posedness due to lack of regularity, we consider a semi-discrete scheme by…

Optimization and Control · Mathematics 2025-04-11 Wenpin Tang , Hung Vinh Tran , Yuming Paul Zhang

We consider a continuous-time continuous-space stochastic optimal control problem, where the controller lacks exact knowledge of the underlying diffusion process, relying instead on a finite set of historical disturbance trajectories. In…

Systems and Control · Electrical Eng. & Systems 2023-10-04 Hyuk Park , Duo Zhou , Grani A. Hanasusanto , Takashi Tanaka

This paper addresses the problem of asymptotic tracking for high-order control-affine MIMO nonlinear systems with unknown dynamic terms subject to input and transient state constraints. We introduce Barrier Integral Control (BRIC), a novel…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Christos K. Verginis

We consider the problem of sampling transition paths between two given metastable states of a molecular system, e.g. a folded and unfolded protein or products and reactants of a chemical reaction. Due to the existence of high energy…

Biomolecules · Quantitative Biology 2023-07-19 Lars Holdijk , Yuanqi Du , Ferry Hooft , Priyank Jaini , Bernd Ensing , Max Welling

Smooth autonomous dynamical systems modeled by ordinary differential equations (ODEs) cannot robustly and globally stabilize a point in compact, boundaryless manifolds. This obstruction, which is topological in nature, implies that…

Optimization and Control · Mathematics 2022-12-08 Daniel E. Ochoa , Jorge I. Poveda

Loss functions play a crucial role in deep metric learning thus a variety of them have been proposed. Some supervise the learning process by pairwise or tripletwise similarity constraints while others take advantage of structured similarity…

Machine Learning · Computer Science 2019-11-25 Xinshao Wang , Elyor Kodirov , Yang Hua , Neil Robertson

Surface integral equation (SIE) methods are of great interest for the numerical solution of Maxwell's equations in the presence of homogeneous objects. However, existing SIE algorithms have limitations, either in terms of scalability,…

Computational Physics · Physics 2021-06-14 Shashwat Sharma , Piero Triverio

Deep learning has become the standard approach for most machine learning tasks. While its impact is undeniable, interpreting the predictions of deep learning models from a human perspective remains a challenge. In contrast to model…

Machine Learning · Computer Science 2023-11-13 Kyriakos Axiotis , Sami Abu-al-haija , Lin Chen , Matthew Fahrbach , Gang Fu

This paper proposes a novel technique called "successive stochastic smoothing" that optimizes nonsmooth and discontinuous functions while considering various constraints. Our methodology enables local and global optimization, making it a…

Optimization and Control · Mathematics 2023-08-17 Vladimir Norkin , Alois Pichler , Anton Kozyriev

In this paper, we investigate the trade-off between convergence rate and computational cost when minimizing a composite functional with proximal-gradient methods, which are popular optimisation tools in machine learning. We consider the…

Machine Learning · Computer Science 2012-10-23 Pierre Machart , Sandrine Anthoine , Luca Baldassarre

Models with fewer parameters are often easier to interpret and more robust. Parsimony can be achieved through optimizing objectives like the AIC or BIC, which are functions of the the number of free parameters in the model. Optimizing this…

Methodology · Statistics 2026-04-21 Mateen R Shaikh

Cross Entropy (CE) has an important role in machine learning and, in particular, in neural networks. It is commonly used in neural networks as the cost between the known distribution of the label and the Softmax/Sigmoid output. In this…

Machine Learning · Computer Science 2020-07-17 Ron Shoham , Haim Permuter

Infinite-horizon optimal control of constrained piecewise affine (PWA) systems has been approximately addressed by hybrid model predictive control (MPC), which, however, has computational limitations, both in offline design and online…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter
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