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Scaling analysis exploiting timescale separation has been one of the most important techniques in the quantitative analysis of nonlinear dynamical systems in mathematical and theoretical biology. In the case of enzyme catalyzed reactions,…

定量方法 · 定量生物学 2023-03-21 Justin Eilertsen , Wylie Stroberg , Santiago Schnell

Linear structural causal models (SCMs) -- in which each observed variable is generated by a subset of the other observed variables as well as a subset of the exogenous sources -- are pervasive in causal inference and casual discovery.…

机器学习 · 计算机科学 2022-11-09 Yuqin Yang , Mohamed Nafea , AmirEmad Ghassami , Negar Kiyavash

Structural causal models provide a unified semantics for interventions and counterfactuals, but most identifiability results rely on restrictive assumptions like global monotonicity, which are often violated in embodied interaction, where…

机器学习 · 计算机科学 2026-05-07 Pengcheng Tan , Jiang Chen , Dehui Du

The input-parameter-state estimation capabilities of a novel unscented Kalman filter is examined herein on both linear and nonlinear systems. The unknown input is estimated in two stages within each time step. Firstly, the predicted dynamic…

信号处理 · 电气工程与系统科学 2025-11-05 Marios Impraimakis , Andrew W. Smyth

In this paper, we propose a filtering algorithm for simultaneously estimating the mode, input and state of hidden mode switched linear stochastic systems with unknown inputs. Using a multiple-model approach with a bank of linear input and…

最优化与控制 · 数学 2016-06-28 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

We consider the problem of detecting anomalies among a given set of processes using their noisy binary sensor measurements. The noiseless sensor measurement corresponding to a normal process is 0, and the measurement is 1 if the process is…

信号处理 · 电气工程与系统科学 2020-06-02 Geethu Joseph , M. Cenk Gursoy , Pramod K. Varshney

Modern distributed cyber-physical systems (CPSs) encounter a large variety of physical faults and cyber anomalies and in many cases, they are vulnerable to catastrophic fault propagation scenarios due to strong connectivity among the…

机器学习 · 计算机科学 2016-05-23 Chao Liu , Sambuddha Ghosal , Zhanhong Jiang , Soumik Sarkar

The computation required for a switching Kalman Filter (SKF) increases exponentially with the number of system operation modes. In this paper, a computationally tractable graph representation is proposed for a switching linear dynamic…

信号处理 · 电气工程与系统科学 2022-03-09 Parisa Karimi , Mark Butala , Zhizhen Zhao , Farzad Kamalabadi

Causal discovery from observational and interventional data is challenging due to limited data and non-identifiability: factors that introduce uncertainty in estimating the underlying structural causal model (SCM). Selecting experiments…

机器学习 · 计算机科学 2022-10-24 Panagiotis Tigas , Yashas Annadani , Andrew Jesson , Bernhard Schölkopf , Yarin Gal , Stefan Bauer

Self-Adaptive Multi-Agent Systems (AMAS) transform machine learning problems into problems of local cooperation between agents. We present smapy, an ensemble based AMAS implementation for mobility prediction, whose agents are provided with…

Cross-entropy method model predictive control (CEM--MPC) is a powerful gradient-free technique for nonlinear optimal control, but its performance is often limited by the reliance on random sampling. This conventional approach can lead to…

系统与控制 · 电气工程与系统科学 2026-05-12 Markus Walker , Daniel Frisch , Uwe D. Hanebeck

The presence of unobserved common causes and measurement error poses two major obstacles to causal structure learning, since ignoring either source of complexity can induce spurious causal relations among variables of interest. We study…

机器学习 · 计算机科学 2026-04-10 Yuqin Yang , Mohamed Nafea , Negar Kiyavash , Kun Zhang , AmirEmad Ghassami

This paper introduces a novel approach to system identification for nonlinear input-output models that minimizes the simulation error and frames the problem as a constrained optimization task. The proposed method addresses vanishing…

最优化与控制 · 数学 2025-12-17 Vito Cerone , Sophie M. Fosson , Simone Pirrera , Diego Regruto

Sparse dynamics identification is an essential tool for discovering interpretable physical models and enabling efficient control in engineering systems. However, existing methods rely on batch learning with full historical data, limiting…

系统与控制 · 电气工程与系统科学 2025-11-25 Jilan Mei , Tengjie Zheng , Lin Cheng , Shengping Gong , Xu Huang

This paper considers the state estimation problem for nonlinear dynamic systems with unknown but bounded noises. Set membership filter (SMF) is a popular algorithm to solve this problem. In the set membership setting, we investigate the…

最优化与控制 · 数学 2022-11-10 Xiaowei Li , Xuqi Zhang , Zhiguo Wang , Xiaojing Shen

We present a theory of causality in dynamical systems using Koopman operators. Our theory is grounded on a rigorous definition of causal mechanism in dynamical systems given in terms of flow maps. In the Koopman framework, we prove that…

动力系统 · 数学 2025-11-06 Adam Rupe , Derek DeSantis , Craig Bakker , Parvathi Kooloth , Jian Lu

Causal discovery from time series is a fundamental task in machine learning. However, its widespread adoption is hindered by a reliance on untestable causal assumptions and by the lack of robustness-oriented evaluation in existing…

机器学习 · 计算机科学 2026-05-01 Huiyang Yi , Xiaojian Shen , Yonggang Wu , Duxin Chen , He Wang , Wenwu Yu

We propose a new method for blind system identification. Resorting to a Gaussian regression framework, we model the impulse response of the unknown linear system as a realization of a Gaussian process. The structure of the covariance matrix…

系统与控制 · 计算机科学 2016-05-20 Giulio Bottegal , Riccardo S. Risuleo , Håkan Hjalmarsson

System identification poses a significant bottleneck to characterizing and controlling complex systems. This challenge is greatest when both the system states and parameters are not directly accessible leading to a dual-estimation problem.…

系统与控制 · 电气工程与系统科学 2021-04-08 Matthew F. Singh , Chong Wang , Michael W. Cole , ShiNung Ching

This paper proposes a probabilistic Bayesian formulation for system identification (ID) and estimation of nonseparable Hamiltonian systems using stochastic dynamic models. Nonseparable Hamiltonian systems arise in models from diverse…

动力系统 · 数学 2022-09-19 Harsh Sharma , Nicholas Galioto , Alex A. Gorodetsky , Boris Kramer