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This paper deals with the filtering problem for a class of discrete time stochastic volatility models in which the disturbances have rational probability density functions. This includes the Cauchy distributions and Student t-distributions…

Optimization and Control · Mathematics 2007-06-25 Bernard Hanzon , Wolfgang Scherrer

This paper proposes a distributed secondary voltage control method based on extended state Kalman-Bucy filter (ESKBF) and fast terminal sliding mode (FTSM) control for the resilient operation of an islanded microgrid (MG) with…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Pudong Ge , Yue Zhu , Tim C. Green , Fei Teng

A series of novel filters for probabilistic inference that propose an alternative way of performing Bayesian updates, called particle flow filters, have been attracting recent interest. These filters provide approximate solutions to…

Methodology · Statistics 2017-03-24 Flávio Eler De Melo , Simon Maskell , Matteo Fasiolo , Fred Daum

Student's $t$ statistic is finding applications today that were never envisaged when it was introduced more than a century ago. Many of these applications rely on properties, for example robustness against heavy tailed sampling…

Methodology · Statistics 2010-01-25 Aurore Delaigle , Peter Hall , Jiashun Jin

Motivated by the maneuvering target tracking with sensors such as radar and sonar, this paper considers the joint and recursive estimation of the dynamic state and the time-varying process noise covariance in nonlinear state space models.…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Hua Lan , Jinjie Hu , Zengfu Wang , Qiang Cheng

State estimation in stochastic dynamical systems with noisy measurements is a challenge. While the Kalman filter is optimal for linear systems with independent Gaussian white noise, real-world conditions often deviate from these…

Signal Processing · Electrical Eng. & Systems 2025-09-12 Hassan Mortada , Cyril Falcon , Yanis Kahil , Mathéo Clavaud , Jean-Philippe Michel

We propose a novel class of risk-aware control barrier functions (RA-CBFs) for the control of stochastic safety-critical systems. Leveraging a result from the stochastic level-crossing literature, we deviate from the martingale theory that…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Danil Prokhorov , Dimitra Panagou

Classification is one of the core problems in Computer-Aided Diagnosis (CAD), targeting for early cancer detection using 3D medical imaging interpretation. High detection sensitivity with desirably low false positive (FP) rate is critical…

Computer Vision and Pattern Recognition · Computer Science 2014-05-20 Meizhu Liu , Le Lu , Xiaojing Ye , Shipeng Yu

Existing decentralized stochastic optimization methods assume the lower-level loss function is strongly convex and the stochastic gradient noise has finite variance. These strong assumptions typically are not satisfied in real-world machine…

Machine Learning · Computer Science 2026-05-26 Xinwen Zhang , Yihan Zhang , Heng Liang , Hongchang Gao

In this paper, we address the problem of multichannel speech enhancement in the short-time Fourier transform (STFT) domain. A long short-time memory (LSTM) network takes as input a sequence of STFT coefficients associated with a frequency…

Sound · Computer Science 2020-09-24 Xiaofei LI , Radu Horaud

Localization and tracking of a mobile node (MN) in non-line-of-sight (NLOS) scenarios, based on time of arrival (TOA) measurements, is considered in this work. To this end, we develop a constrained form of square root unscented Kalman…

Applications · Statistics 2016-11-17 Siamak Yousefi , Xiao-Wen Chang , Benoit Champagne

The performance of model-based control techniques strongly depends on the quality of the employed dynamics model. If strong guarantees are desired, it is therefore common to robustly treat all possible sources of uncertainty, such as model…

Systems and Control · Electrical Eng. & Systems 2022-05-23 Elena Arcari , Andrea Iannelli , Andrea Carron , Melanie N. Zeilinger

Linear mechanical oscillators have been applied to measure very small forces, mostly with the help of noise suppression. In contrast, adding noise to non-linear oscillators can improve the measurement conditions. Here, this effect of…

Optics · Physics 2009-11-13 F. Mueller , S. Heugel , L. J. Wang

Matched filters are widely used to localise signal patterns due to their high efficiency and interpretability. However, their effectiveness deteriorates for low signal-to-noise ratio (SNR) signals, such as those recorded on edge devices,…

Signal Processing · Electrical Eng. & Systems 2025-09-01 Haozhe Tian , Qiyu Rao , Nina Moutonnet , Pietro Ferraro , Danilo Mandic

Disturbance observers have been attracting continuing research efforts and are widely used in many applications. Among them, the Kalman filter-based disturbance observer is an attractive one since it estimates both the state and the…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Shilei Li , Dawei Shi , Yunjiang Lou , Wulin Zou , Ling Shi

This paper presents a computationally efficient approach for robust Model Predictive Control of nonlinear systems by combining Random Fourier Features with tube-based MPC. Tube-based Model Predictive Control provides robust constraint…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Ákos M. Bokor , Tamás Dózsa , Felix Biertümpfel , Ádám Szabó

Coherent wide parameter-space searches for continuous gravitational waves are typically limited in sensitivity by their prohibitive computing cost. Therefore semi-coherent methods (such as StackSlide) can often achieve a better sensitivity.…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Reinhard Prix , Miroslav Shaltev

In this paper, we propose a robust subspace-constrained quadratic model (SCQM) for learning low-dimensional structure from high-dimensional data. Building upon the subspace-constrained quadratic matrix factorization (SQMF) framework, the…

Machine Learning · Computer Science 2026-05-21 Zheng Zhai , Xiaohui Li

In the past few decades, the development of fluorescent technologies and microscopic techniques has greatly improved scientists' ability to observe real-time single-cell activities. In this paper, we consider the filtering problem associate…

Quantitative Methods · Quantitative Biology 2022-07-27 Zhou Fang , Ankit Gupta , Mustafa Khammash

Stochastic resonance (SR) is a coherence enhancement effect due to noise that occurs in periodically-driven nonlinear dynamical systems. A very broad range of physical and biological systems present this effect such as climate change,…

Pattern Formation and Solitons · Physics 2021-06-08 Adriano A. Batista , A. A. Lisboa de Souza , Raoni S. N. Moreira
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