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Understanding the emergent behavior of chemical reaction networks (CRNs) is a fundamental aspect of biology and its origin from inanimate matter. A closed CRN monotonically tends to thermal equilibrium, but when it is opened to external…

分子网络 · 定量生物学 2024-05-16 Masanari Shimada , Pegah Behrad , Eric De Giuli

As reinforcement learning (RL) has achieved great success and been even adopted in safety-critical domains such as autonomous vehicles, a range of empirical studies have been conducted to improve its robustness against adversarial attacks.…

机器学习 · 计算机科学 2022-03-17 Fan Wu , Linyi Li , Zijian Huang , Yevgeniy Vorobeychik , Ding Zhao , Bo Li

Many of the challenges facing today's reinforcement learning (RL) algorithms, such as robustness, generalization, transfer, and computational efficiency are closely related to compression. Prior work has convincingly argued why minimizing…

机器学习 · 计算机科学 2021-09-08 Benjamin Eysenbach , Ruslan Salakhutdinov , Sergey Levine

A gradient-based method is proposed for solving the linear quadratic regulator (LQR) problem for linear systems with nonlinear dependence on time-invariant probabilistic parametric uncertainties. The approach explicitly accounts for model…

系统与控制 · 电气工程与系统科学 2026-03-30 Leilei Cui , Richard D. Braatz

In reinforcement learning, robust policies for high-stakes decision-making problems with limited data are usually computed by optimizing the percentile criterion, which minimizes the probability of a catastrophic failure. Unfortunately,…

机器学习 · 计算机科学 2021-03-01 Elita A. Lobo , Mohammad Ghavamzadeh , Marek Petrik

Robust stability problem of integral delay systems with uncertain kernel matrix functions is addressed in this paper. On the basis of characteristic equation and the argument principle, an algorithm is generated which is shown to outperform…

系统与控制 · 电气工程与系统科学 2020-08-25 Hamed Taghavian

Linear relaxation based perturbation analysis (LiRPA) for neural networks, which computes provable linear bounds of output neurons given a certain amount of input perturbation, has become a core component in robustness verification and…

机器学习 · 计算机科学 2020-10-27 Kaidi Xu , Zhouxing Shi , Huan Zhang , Yihan Wang , Kai-Wei Chang , Minlie Huang , Bhavya Kailkhura , Xue Lin , Cho-Jui Hsieh

We present an algorithm for L1-norm kernel PCA and provide a convergence analysis for it. While an optimal solution of L2-norm kernel PCA can be obtained through matrix decomposition, finding that of L1-norm kernel PCA is not trivial due to…

机器学习 · 统计学 2020-06-12 Cheolmin Kim , Diego Klabjan

We establish a new connection between value and policy based reinforcement learning (RL) based on a relationship between softmax temporal value consistency and policy optimality under entropy regularization. Specifically, we show that…

人工智能 · 计算机科学 2017-11-27 Ofir Nachum , Mohammad Norouzi , Kelvin Xu , Dale Schuurmans

Regularized empirical risk minimization including support vector machines plays an important role in machine learning theory. In this paper regularized pairwise learning (RPL) methods based on kernels will be investigated. One example is…

统计理论 · 数学 2015-10-13 Andreas Christmann , Ding-Xuan Zhou

We propose a structure-preserving model-reduction methodology for large-scale dynamic networks with tightly-connected components. First, the coherent groups are identified by a spectral clustering algorithm on the graph Laplacian matrix…

系统与控制 · 电气工程与系统科学 2023-05-15 Hancheng Min , Enrique Mallada

This paper proposes scalable and fast algorithms for solving the Robust PCA problem, namely recovering a low-rank matrix with an unknown fraction of its entries being arbitrarily corrupted. This problem arises in many applications, such as…

最优化与控制 · 数学 2013-10-21 Zhouchen Lin , Minming Chen , Yi Ma

Robust tensor CP decomposition involves decomposing a tensor into low rank and sparse components. We propose a novel non-convex iterative algorithm with guaranteed recovery. It alternates between low-rank CP decomposition through gradient…

机器学习 · 计算机科学 2016-04-28 Animashree Anandkumar , Prateek Jain , Yang Shi , U. N. Niranjan

This paper studies the robust optimal control design for uncertain nonlinear systems from a perspective of robust adaptive dynamic programming (robust-ADP). The objective is to fill up a gap in the past literature of ADP where dynamic…

动力系统 · 数学 2013-03-12 Yu Jiang , Zhong-Ping Jiang

Passivity-based control (PBC) for port-Hamiltonian systems provides an intuitive way of achieving stabilization by rendering a system passive with respect to a desired storage function. However, in most instances the control law is obtained…

系统与控制 · 计算机科学 2019-03-29 Olivier Sprangers , Gabriel A. D. Lopes , Robert Babuska

The study of dynamical systems on complex networks is of paramount importance in engineering, given that many natural and artificial systems find a natural embedding on discrete topologies. For instance, power grids, chemical reactors and…

最优化与控制 · 数学 2024-04-26 Riccardo Muolo , Anthony Hastir , Hiroya Nakao

We propose a new adversarial training approach for injecting robustness when designing controllers for upcoming cyber-physical power systems. Previous approaches relying deeply on simulations are not able to cope with the rising complexity…

机器学习 · 统计学 2021-04-19 Loïc Omnes , Antoine Marot , Benjamin Donnot

Threshold rules of spreading in binary-state networks lead to cascades. We study persistent cascade-recovery dynamics on quasi-robust networks, i.e., networks which are robust against small trigger but may collapse for larger one. It is…

物理与社会 · 物理学 2019-05-22 Nanxin Wei , Bo Fan

Probabilistic load forecasting (PLF) is a key component in the extended tool-chain required for efficient management of smart energy grids. Neural networks are widely considered to achieve improved prediction performances, supporting highly…

信号处理 · 电气工程与系统科学 2021-01-12 Alessandro Brusaferri , Matteo Matteucci , Stefano Spinelli , Andrea Vitali

The linear quadratic regulator (LQR) problem has reemerged as an important theoretical benchmark for reinforcement learning-based control of complex dynamical systems with continuous state and action spaces. In contrast with nearly all…

机器学习 · 计算机科学 2020-05-04 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers