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We consider the problem of high-dimensional non-linear variable selection for supervised learning. Our approach is based on performing linear selection among exponentially many appropriately defined positive definite kernels that…

机器学习 · 计算机科学 2009-09-08 Francis Bach

This paper deals with controllability of dynamical networks. It is often unfeasible or unnecessary to fully control large-scale networks, which motivates the control of a prescribed subset of agents of the network. This specific form of…

最优化与控制 · 数学 2016-08-09 Henk J. van Waarde , M. Kanat Camlibel , Harry L. Trentelman

Various modifications of decision trees have been extensively used during the past years due to their high efficiency and interpretability. Tree node splitting based on relevant feature selection is a key step of decision tree learning, at…

机器学习 · 计算机科学 2017-09-05 Dmitry Ignatov , Andrey Ignatov

This paper introduces a framework for quantitative characterization of the controllability of time-varying linear systems (or networks) in terms of input novelty. The motivation for such an approach comes from the study of biophysical…

最优化与控制 · 数学 2014-11-24 Gautam Kumar , Delsin Menolascino , ShiNung Ching

This paper deals with a distributed implementation of minimax adaptive control algorithm for networked dynamical systems modeled by a finite set of linear models. To hedge against the uncertainty arising out of finite number of possible…

系统与控制 · 电气工程与系统科学 2022-10-04 Venkatraman Renganathan , Anders Rantzer , Olle Kjellqvist

Control of chaotic systems to given targets is a subject of substantial and well-developed research issue in nonlinear science, which can be formulated as a class of multi-modal constrained numerical optimization problem with…

最优化与控制 · 数学 2016-06-08 Yudong Wang , Xiaoyi Feng , Xin Lyu , Zhengyang Li , Bo Liu

This work introduces a stochastic model predictive control scheme for dynamic chance constraints. We consider linear discrete-time systems affected by unbounded additive stochastic disturbance. To synthesize an optimal controller, we solve…

系统与控制 · 电气工程与系统科学 2023-07-26 Maico Hendrikus Wilhelmus Engelaar , Sofie Haesaert , Mircea Lazar

Safe control for control-affine systems has been extensively studied. However, due to the complexity of system dynamics, it is challenging and time-consuming to apply these methods directly to non-control-affine systems, which cover a large…

系统与控制 · 电气工程与系统科学 2022-01-03 Yihang Yao , Tianhao Wei , Changliu Liu

This paper gives convex conditions for synthesis of a distributed control system for large-scale networked nonlinear dynamic systems. It is shown that the technique of control contraction metrics (CCMs) can be extended to this problem by…

系统与控制 · 计算机科学 2018-10-12 Humberto Stein Shiromoto , Max Revay , Ian R. Manchester

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

最优化与控制 · 数学 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

Adaptive methods are popular within the control literature due to the flexibility and forgiveness they offer in the area of modelling. Neural network adaptive control is favorable specifically for the powerful nature of the machine learning…

系统与控制 · 电气工程与系统科学 2021-07-23 Nathan Lutes , K. Krishnamurthy , Venkata Sriram Siddhardh Nadendla , S. N. Balakrishnan

Most existing neural network-based approaches for solving stochastic optimal control problems using the associated backward dynamic programming principle rely on the ability to simulate the underlying state variables. However, in some…

机器学习 · 统计学 2024-01-30 Christian Yeo

The process of transforming observed data into predictive mathematical models of the physical world has always been paramount in science and engineering. Although data is currently being collected at an ever-increasing pace, devising…

动力系统 · 数学 2018-01-08 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

Physical dynamic networks most commonly consist of interconnections of physical components that can be described by diffusive couplings. These diffusive couplings imply that the cause-effect relationships in the interconnections are…

系统与控制 · 电气工程与系统科学 2026-04-17 E. M. M. , Kivits , Paul M. J. Van den Hof

This paper introduces a framework to capture previously intractable optimization constraints and transform them to a mixed-integer linear program, through the use of neural networks. We encode the feasible space of optimization problems…

系统与控制 · 电气工程与系统科学 2022-07-15 Ilgiz Murzakhanov , Andreas Venzke , George S. Misyris , Spyros Chatzivasileiadis

This paper addresses the problem of learning the optimal control policy for a nonlinear stochastic dynamical system with continuous state space, continuous action space and unknown dynamics. This class of problems are typically addressed in…

机器学习 · 计算机科学 2019-04-18 Ran Wang , Karthikeya Parunandi , Dan Yu , Dileep Kalathil , Suman Chakravorty

Fast data synchronization in wireless ad hoc networks is a challenging and critical problem. It is fundamental for efficient information fusion, control and decision in distributed systems. Previously, distributed data synchronization was…

分布式、并行与集群计算 · 计算机科学 2022-09-20 Die Hu , Xuejun Zhu , Min Gong , Shaoshi Yang

In this paper, we propose a self-triggered formulation of Model Predictive Control for continuous-time nonlinear input-affine networked control systems. Our control method specifies not only when to execute control tasks but also provides a…

最优化与控制 · 数学 2016-11-17 Kazumune Hashimoto , Shuichi Adachi , Dimos. V. Dimarogonas

Reservoir computing - information processing based on untrained recurrent neural networks with random connections - is expected to depend on the nonlinear properties of the neurons and the resulting oscillatory, chaotic, or fixpoint…

神经与进化计算 · 计算机科学 2024-11-18 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

We propose a data-driven online convex optimization algorithm for controlling dynamical systems. In particular, the control scheme makes use of an initially measured input-output trajectory and behavioral systems theory which enable it to…

最优化与控制 · 数学 2021-11-03 Marko Nonhoff , Matthias A. Müller