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We address the problem of uncertainty propagation in the discrete Fourier transform by modeling the fast Fourier transform as a factor graph. Building on this representation, we propose an efficient framework for approximate Bayesian…

Machine Learning · Computer Science 2025-06-09 Luca Schmid , Charlotte Muth , Laurent Schmalen

Localization of unknown faults in industrial systems is a difficult task for data-driven diagnosis methods. The classification performance of many machine learning methods relies on the quality of training data. Unknown faults, for example…

Signal Processing · Electrical Eng. & Systems 2019-10-15 Daniel Jung

This paper presents a methodology for model based robust fault diagnosis and a methodology for input design to obtain optimal diagnosis of faults. The proposed algorithm is suitable for real time implementation. Issues of robustness are…

Systems and Control · Computer Science 2020-01-16 Dhruv Khandelwal , Siep Weiland , Amol Khalate

Statistical inference with nonresponse is quite challenging, especially when the response mechanism is nonignorable. In this case, the validity of statistical inference depends on untestable correct specification of the response model. To…

Methodology · Statistics 2021-01-15 Shonosuke Sugasawa , Kosuke Morikawa , Keisuke Takahata

Identifying cause-effect relations among variables is a key step in the decision-making process. While causal inference requires randomized experiments, researchers and policymakers are increasingly using observational studies to test…

Optimization and Control · Mathematics 2021-11-22 Md Saiful Islam , Md Sarowar Morshed , Md. Noor-E-Alam

Belief Propagation (BP) is a popular, distributed heuristic for performing MAP computations in Graphical Models. BP can be interpreted, from a variational perspective, as minimizing the Bethe Free Energy (BFE). BP can also be used to solve…

Artificial Intelligence · Computer Science 2013-05-20 Andrew Gelfand , Jinwoo Shin , Michael Chertkov

We propose nonparametric identification and semiparametric estimation of joint potential outcome distributions in the presence of confounding. First, in settings with observed confounding, we derive tighter, covariate-informed bounds on the…

Methodology · Statistics 2026-02-19 Jianle Sun , Kun Zhang

In this work, we present a novel construction for solving the linear multiuser detection problem using the Gaussian Belief Propagation algorithm. Our algorithm yields an efficient, iterative and distributed implementation of the MMSE…

Information Theory · Computer Science 2009-04-16 Danny Bickson , Danny Dolev , Ori Shental , Paul H. Siegel , Jack K. Wolf

Motivated by the need to localise faults along electrical power lines, this paper adopts a frequency-domain approach to parameter estimation for an infinite-dimensional linear dynamical system with one spatial variable. Since the time of…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Daniel Selvaratnam , Amritam Das , Henrik Sandberg

We present a novel learning-based method that achieves state-of-the-art performance on several heart rate estimation benchmarks extracted from photoplethysmography signals (PPG). We consider the evolution of the heart rate in the context of…

Machine Learning · Computer Science 2023-06-16 Valentin Bieri , Paul Streli , Berken Utku Demirel , Christian Holz

The subspace method is one of the mainstream system identification method of linear systems, and its basic idea is to estimate the system parameter matrices by projecting them into a subspace related to input and output. However, most of…

Systems and Control · Electrical Eng. & Systems 2022-02-03 Xiangyu Mao , Jianping He , Chengcheng Zhao

Rolling bearings are subject to various faults due to its long-time operation under harsh environment, which will lead to unexpected breakdown of machinery system and cause severe accidents. Deep learning methods recently have gained…

Machine Learning · Computer Science 2021-09-21 Mingxuan Liang , Kai Zhou

The analysis of continuously spatially varying processes usually considers two sources of variation, namely, the large-scale variation collected by the trend of the process, and the small-scale variation. Parametric trend models on latitude…

Due to their great flexibility, nonparametric Bayes methods have proven to be a valuable tool for discovering complicated patterns in data. The term "nonparametric Bayes" suggests that these methods inherit model-free operating…

Methodology · Statistics 2013-04-15 Peter D. Hoff

In this paper we aim to apply an adaptation of the recently developed technique of sparse identification of nonlinear dynamical systems on a Duffing experimental setup with cubic feedback of the output. The Duffing oscillator described by…

Classical Physics · Physics 2018-05-10 Saeideh Khatiry Goharoodi , Kevin Dekemele , Luc Dupre , Mia Loccufier , Guillaume Crevecoeur

We develop a technique for automatically detecting the classification errors of a pre-trained visual classifier. Our method is agnostic to the form of the classifier, requiring access only to classifier responses to a set of inputs. We…

Computer Vision and Pattern Recognition · Computer Science 2018-04-04 Yuval Bahat , Gregory Shakhnarovich

This paper studies the problem of fault detection and estimation (FDE) for linear time-invariant (LTI) systems with a particular focus on frequency content information of faults, possibly as multiple disjoint continuum ranges, and under…

Systems and Control · Electrical Eng. & Systems 2024-10-02 Jingwei Dong , Kaikai Pan , Sergio Pequito , Peyman Mohajerin Esfahani

This technique holds several advantages over contemporary techniques: It utilizes technology that is already deployed in the field, it offers a significant degree of generality, and so far it has displayed a very high-level of sensitivity…

Systems and Control · Electrical Eng. & Systems 2023-04-05 Gian Paramo , Arturo Bretas , Sean Meyn

In a multiple testing context, we consider a semiparametric mixture model with two components where one component is known and corresponds to the distribution of $p$-values under the null hypothesis and the other component $f$ is…

Applications · Statistics 2013-04-04 Van Hanh Nguyen , Catherine Matias

Linear mixture models have proven very useful in a plethora of applications, e.g., topic modeling, clustering, and source separation. As a critical aspect of the linear mixture models, identifiability of the model parameters is…

Machine Learning · Computer Science 2021-02-24 Bo Yang , Xiao Fu , Nicholas D. Sidiropoulos , Kejun Huang
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