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Uncertainty quantification is a primary challenge for reliable modeling and simulation of complex stochastic dynamics. Such problems are typically plagued with incomplete information that may enter as uncertainty in the model parameters, or…

概率论 · 数学 2015-07-15 Paul Dupuis , Markos A. Katsoulakis , Yannis Pantazis , Petr Plechac

Inertial navigation computation is to acquire the attitude, velocity and position information of a moving body by integrating inertial measurements from gyroscopes and accelerometers. Over half a century has witnessed great efforts in…

机器人学 · 计算机科学 2021-09-21 Yuanxin Wu

Being infinite dimensional, non-parametric information geometry has long faced an "intractability barrier" due to the fact that the Fisher-Rao metric is now a functional incurring difficulties in defining its inverse. This paper introduces…

机器学习 · 统计学 2026-01-08 Bing Cheng , Howell Tong

There is currently a paradigm shift in several power system monitoring applications, such as incipient fault detection and monitoring inverter-based resources, to transition from traditional phasor analytics to more informative waveform…

信号处理 · 电气工程与系统科学 2025-05-26 Narges Ehsani , Vishwanath Saragadam , Hamed Mohsenian-Rad

Shaping the reachable set of a dynamical system is a fundamental challenge in control design, with direct implications for both performance and safety. This paper considers the problem of selecting the optimal input matrix for a linear…

系统与控制 · 电气工程与系统科学 2026-04-07 Hrishav Das , Melkior Ornik

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

统计方法学 · 统计学 2022-10-14 Erik Spånberg

We derive several expressions for the quantum Fisher information matrix (QFIM) for the multi-parameter estimation of multi-mode Gaussian quantum states, the corresponding symmetric logarithmic derivatives, and conditions for saturability of…

量子物理 · 物理学 2019-12-30 Dominik Šafránek

The problem of determining the intrinsic quality of a signal processing system with respect to the inference of an unknown deterministic parameter $\theta$ is considered. While the Fisher information measure $F(\theta)$ forms a classical…

信息论 · 计算机科学 2018-05-30 Manuel Stein , Josef A. Nossek

Computing accurate periodic responses in strongly nonlinear or even non-smooth vibration systems remains a fundamental challenge in nonlinear dynamics. Existing numerical methods, such as the Harmonic Balance Method (HBM) and the Shooting…

数值分析 · 数学 2025-10-28 Limin Cao , Yanmao Chen , Li Wang , Loic Salles , Zechang Zheng

Quantifying uncertainty is a key stage in active simultaneous localization and mapping (SLAM), as it allows to identify the most informative actions to execute. However, dealing with full covariance or even Fisher information matrices…

机器人学 · 计算机科学 2022-09-01 Julio A. Placed , José A. Castellanos

Structural identification and damage detection can be generalized as the simultaneous estimation of input forces, physical parameters, and dynamical states. Although Kalman-type filters are efficient tools to address this problem, the…

应用统计 · 统计学 2022-10-04 Daniz Teymouri , Omid Sedehi , Lambros S. Katafygiotis , Costas Papadimitriou

System-level condition monitoring methods estimate the electrical parameters of multiple components in a converter to assess their health status. The estimation accuracy and variation can differ significantly across parameters. For…

信号处理 · 电气工程与系统科学 2025-04-30 Shuyu Ou , Subham Sahoo , Ariya Sangwongwanich , Frede Blaabjerg , Mahyar Hassanifar , Martin Votava , Marius Langwasser , Marco Liserre

With the advancement of sensing and communication in power networks, high-frequency real-time data from a power network can be used as a resource to develop better monitoring capabilities. In this work, a systematic approach based on…

系统与控制 · 电气工程与系统科学 2020-03-12 Subhrajit Sinha , Sai Pushpak Nandanoori , Enoch Yeung

This paper deals with state estimation of stochastic models with linear state dynamics, continuous or discrete in time. The emphasis is laid on a numerical solution to the state prediction by the time-update step of the grid-point-based…

系统与控制 · 电气工程与系统科学 2023-04-18 Jakub Matousek , Jindrich Dunik , Marek Brandner , Chan Gook Park , Yeongkwon Choe

Forecasting state evolution of network systems, such as the spread of information on social networks, is significant for effective policy interventions and resource management. However, the underlying propagation dynamics constantly shift…

计算工程、金融与科学 · 计算机科学 2025-10-13 Shihe Zhou , Ruikun Li , Huandong Wang , Yong Li

Real-time tracking of inertia is important because it reflects the power system's ability to withstand contingencies and maintain frequency security. This paper proposes a practical approach to estimate inertia using ambient phasor…

系统与控制 · 电气工程与系统科学 2025-08-12 Anushka Sharma , Anamitra Pal , Rajasekhar Anguluri , Tamojit Chakraborty

The paper develops the Loewner approach for data-based modeling of a linear distributed-parameter system. This approach is applied to a controlled flexible beam model coupled with a spring-mass system. The original dynamical system is…

最优化与控制 · 数学 2023-08-08 A. Zuyev , I. V. Gosea

High-dimensional recordings of dynamical processes are often characterized by a much smaller set of effective variables, evolving on low-dimensional manifolds. Identifying these latent dynamics requires solving two intertwined problems:…

机器学习 · 计算机科学 2026-01-21 Manuel Hinz , Maximilian Mauel , Patrick Seifner , David Berghaus , Kostadin Cvejoski , Ramses J. Sanchez

Estimating and detecting faults is crucial in ensuring safe and efficient automated systems. In the presence of disturbances, noise or varying system dynamics, such estimation is even more challenging. To address this challenge, this…

最优化与控制 · 数学 2021-12-13 Chris van der Ploeg , Emilia Silvas , Nathan van de Wouw , Peyman Mohajerin Esfahani

We consider the estimation of parameters encoded in the measurement record of a continuously monitored quantum system in the jump unraveling, corresponding to a single-shot scenario, where information is continuously gathered. Here, it is…

量子物理 · 物理学 2026-02-04 Marco Radaelli , Joseph A. Smiga , Gabriel T. Landi , Felix C. Binder