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State estimation that combines observational data with mathematical models is central to many applications and is commonly addressed through filtering methods, such as ensemble Kalman filters. In this article, we examine the signal-tracking…

Numerical Analysis · Mathematics 2025-09-08 Nazanin Abedini , Jana de Wiljes , Svetlana Dubinkina

We address the problem of combining sequence models of symbolic music with user defined constraints. For typical models this is non-trivial as only the conditional distribution of each symbol given the earlier symbols is available, while…

The frequency-domain Kalman filter (FKF) has been utilized in many audio signal processing applications due to its fast convergence speed and robustness. However, the performance of the FKF in under-modeling situations has not been…

Signal Processing · Electrical Eng. & Systems 2019-02-20 Wenzhi Fan , Kai Chen , Jing Lu , Jiancheng Tao

Estimating and quantifying uncertainty in unknown system parameters from limited data remains a challenging inverse problem in a variety of real-world applications. While many approaches focus on estimating constant parameters, a subset of…

Methodology · Statistics 2023-05-09 Andrea Arnold

Many audio applications rely on filter banks (FBs) to analyze, process, and re-synthesize sounds. To approximate the auditory frequency resolution in the signal chain, some applications rely on perceptually motivated FBs, the gammatone FB…

Sound · Computer Science 2016-01-26 Thibaud Necciari , Nicki Holighaus , Peter Balazs , Zdenek Prusa

A ubiquitous building block of signaling pathways is a cycle of covalent modification (e.g., phosphorylation and dephosphorylation in MAPK cascades). Our paper explores the kind of information processing and filtering that can be…

Molecular Networks · Quantitative Biology 2015-05-13 Carlos Gomez-Uribe , George C. Verghese , Leonid A. Mirny

Recent advances in foundation models have enabled audio-generative models that produce high-fidelity sounds associated with music, events, and human actions. Despite the success achieved in modern audio-generative models, the conventional…

Sound · Computer Science 2024-08-30 Tiantian Feng , Dimitrios Dimitriadis , Shrikanth Narayanan

The well-known Kalman filters model dynamical systems by relying on state-space representations with the next state updated, and its uncertainty controlled, by fresh information associated with newly observed system outputs. This paper…

Machine Learning · Computer Science 2023-06-21 Cesare Alippi , Daniele Zambon

In this work, we consider a sensor selection drawn at random by a sampling with replacement policy for a linear time-invariant dynamical system subject to process and measurement noise. We employ the Kalman filter to estimate the state of…

Systems and Control · Electrical Eng. & Systems 2023-03-15 Christopher I. Calle , Shaunak D. Bopardikar

For particle filters and ensemble Kalman filters it is of practical importance to understand how and why data assimilation methods can be effective when used with a fixed small number of particles, since for many large-scale applications it…

Probability · Mathematics 2018-11-06 David Kelly , Andrew M Stuart

Filtered shot noise processes have proven to be very effective in modelling the evolution of systems exposed to stochastic shot noise sources, and have been applied to a wide variety of fields ranging from electronics through biology. In…

Neurons and Cognition · Quantitative Biology 2015-09-15 Marco Brigham , Alain Destexhe

Recent studies found that many channels are affected by additive noise that is impulsive in nature and is best explained by heavy-tailed symmetric alpha-stable distributions. Dealing with impulsive noise environments comes with an added…

Information Theory · Computer Science 2016-10-07 Jihad Fahs , Ibrahim Abou-Faycal

One of the biggest challenges of acoustic scene classification (ASC) is to find proper features to better represent and characterize environmental sounds. Environmental sounds generally involve more sound sources while exhibiting less…

Sound · Computer Science 2019-04-11 Hongwei Song , Jiqing Han , Shiwen Deng

The auditory and vestibular systems exhibit remarkable sensitivity of detection, responding to deflections on the order of Angstroms, even in the presence of biological noise. Further, these complex systems exhibit high temporal acuity and…

Chaotic Dynamics · Physics 2023-11-07 Justin Faber , Dolores Bozovic

Different machines can exhibit diverse frequency patterns in their emitted sound. This feature has been recently explored in anomaly sound detection and reached state-of-the-art performance. However, existing methods rely on the manual or…

Sound · Computer Science 2023-09-07 Hejing Zhang , Jian Guan , Qiaoxi Zhu , Feiyang Xiao , Youde Liu

Can stochastic gradient methods track a moving target? We study the problem of tracking multidimensional time-varying parameters under noisy observations and possible model misspecification. Gradient-based filters update the time-varying…

Methodology · Statistics 2026-05-05 Simon Donker van Heel , Rutger-Jan Lange , Bram van Os , Dick van Dijk

We investigated, by using auditory models, how three perceptual parameters, loudness, pitch and sharpness, determine human echolocation. We used acoustic recordings from two previous studies, both from stationary situations, and their…

Neurons and Cognition · Quantitative Biology 2018-01-31 Bo N. Schenkman , Vijay Kiran Gidla

Standard evaluation metrics such as the Inception score and Fr\'echet Audio Distance provide a general audio quality distance metric between the synthesized audio and reference clean audio. However, the sensitivity of these metrics to…

Audio and Speech Processing · Electrical Eng. & Systems 2022-08-24 Chitralekha Gupta , Yize Wei , Zequn Gong , Purnima Kamath , Zhuoyao Li , Lonce Wyse

This work describes a family of attitude estimators that are based on a generalization of Mahony's nonlinear complementary filter. This generalization reveals the close mathematical relationship between the nonlinear complementary filter…

Optimization and Control · Mathematics 2011-10-04 Kenneth Jensen

In this paper, we are interested in obtaining answers to the following questions for particle flow filters: Can we provide a theoretical guarantee that particle flow filters give correct results such as unbiased estimates? Are particle…

Signal Processing · Electrical Eng. & Systems 2021-09-28 Liyi Dai , Fred Daum