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For reaction networks arising in systems biology, the capacity for two or more steady states, that is, multistationarity, is an important property that underlies biochemical switches. Another property receiving much attention recently is…

概率论 · 数学 2023-01-26 Badal Joshi , Nidhi Kaihnsa , Tung D. Nguyen , Anne Shiu

Poly-PL kinetic systems are kinetic systems consisting of nonnegative linear combinations of power law functions. In this contribution, we analyze these kinetic systems using two main approaches: (1) we define a canonical power law…

One important question that interests those who work in chemical reaction network theory (CRNT) is this: Does the system obtained from a reaction network admit a positive equilibrium and if it does, can there be more than one within a…

In this work, we design a type of controller that consists of adding a specific set of reactions to an existing mass-action chemical reaction network in order to control a target species. This set of reactions is effective for both…

分子网络 · 定量生物学 2020-07-27 Jinsu Kim , German Enciso

Robustness is an observable property for which a chemical reaction network (CRN) can maintain its functionalities despite the influence of different perturbations. In general, to verify whether a network is robust, it is necessary to…

形式语言与自动机理论 · 计算机科学 2021-04-29 Lucia Nasti , Roberta Gori , Paolo Milazzo

Absolute concentration robustness (ACR) and concordance are novel concepts in the theory of robustness and stability within Chemical Reaction Network Theory. In this paper, we have extended Shinar and Feinberg's reaction network analysis…

分子网络 · 定量生物学 2022-09-14 Patrick Vincent N. Lubenia , Eduardo R. Mendoza , Angelyn R. Lao

We study the robustness of the steady states of a class of systems of autonomous ordinary differential equations (ODEs), having as a central example those arising from (bio)chemical reaction networks. More precisely, we study under what…

代数几何 · 数学 2021-08-09 B. Pascual-Escudero , E. Feliu

The Turing completeness of continuous Chemical Reaction Networks (CRNs) states that any computable real function can be computed by a continuous CRN on a finite set of molecular species, possibly restricted to elementary reactions, i.e.…

定量方法 · 定量生物学 2023-10-24 Mathieu Hemery , François Fages

Robust reinforcement learning (RL) aims to find a policy that optimizes the worst-case performance in the face of uncertainties. In this paper, we focus on action robust RL with the probabilistic policy execution uncertainty, in which,…

机器学习 · 计算机科学 2023-07-21 Guanlin Liu , Zhihan Zhou , Han Liu , Lifeng Lai

This paper studies chemical kinetic systems which decompose into weakly reversible complex factorizable (CF) systems. Among power law kinetic systems, CF systems (denoted as PL-RDK systems) are those where branching reactions of a reactant…

动力系统 · 数学 2022-03-08 Bryan S. Hernandez , Eduardo R. Mendoza

System reliability analysis aims at computing the probability of failure of an engineering system given a set of uncertain inputs and limit state functions. Active-learning solution schemes have been shown to be a viable tool but as of yet…

统计方法学 · 统计学 2024-05-10 Maliki Moustapha , Pietro Parisi , Stefano Marelli , Bruno Sudret

Modern power systems face increasing vulnerability to sophisticated cyber-physical attacks beyond traditional N-1 contingency frameworks. Existing security paradigms face a critical bottleneck: efficiently identifying worst-case scenarios…

系统与控制 · 电气工程与系统科学 2025-09-17 Saman Mazaheri Khamaneh , Tong Wu , Wei Sun , Cong Chen

Robust Reinforcement Learning aims to derive optimal behavior that accounts for model uncertainty in dynamical systems. However, previous studies have shown that by considering the worst case scenario, robust policies can be overly…

机器学习 · 计算机科学 2018-10-25 Esther Derman , Daniel J. Mankowitz , Timothy A. Mann , Shie Mannor

This paper studies the robustness of reinforcement learning algorithms to errors in the learning process. Specifically, we revisit the benchmark problem of discrete-time linear quadratic regulation (LQR) and study the long-standing open…

最优化与控制 · 数学 2021-03-16 Bo Pang , Zhong-Ping Jiang

Branch and bound algorithms have been developed for reliability analysis of coherent systems. They exhibit a set of advantages; in particular, they can find a computationally efficient representation of a system failure or survival event,…

最优化与控制 · 数学 2024-10-31 Ji-Eun Byun , Hyeuk Ryu , Daniel Straub

Deep neural networks are known to be fragile to small adversarial perturbations. This issue becomes more critical when a neural network is interconnected with a physical system in a closed loop. In this paper, we show how to combine recent…

机器学习 · 计算机科学 2019-08-20 Yuh-Shyang Wang , Tsui-Wei Weng , Luca Daniel

In the analysis of qualification data from the FIRST Robotics Competition, the ratio of the number of observations to the number of parameters has been found to be quite small for the commonly used winning margin power rating (WMPR) model.…

应用统计 · 统计学 2022-11-15 Jen-Chieh Teng , Chin-Tsang Chiang , Alvin Lim

Deep learning (DL) has demonstrated significant potential across various safety-critical applications, yet ensuring its robustness remains a key challenge. While adversarial robustness has been extensively studied in worst-case scenarios,…

机器学习 · 计算机科学 2025-03-11 Xingyu Zhao

Due to the proliferation of renewable energy and its intrinsic intermittency and stochasticity, current power systems face severe operational challenges. Data-driven decision-making algorithms from reinforcement learning (RL) offer a…

系统与控制 · 电气工程与系统科学 2021-10-20 Alexander Pan , Yongkyun Lee , Huan Zhang , Yize Chen , Yuanyuan Shi

With the increasing penetration of renewable energy resources, power systems face new challenges in balancing power supply and demand and maintaining the nominal frequency. This paper studies load control to handle these challenges. In…

最优化与控制 · 数学 2020-04-17 Xin Chen , Changhong Zhao , Na Li