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We consider the problem of parameter estimation from a generalized linear model with a random design matrix that is orthogonally invariant in law. Such a model allows the design have an arbitrary distribution of singular values and only…

Statistics Theory · Mathematics 2026-02-11 Yihan Zhang , Hong Chang Ji , Ramji Venkataramanan , Marco Mondelli

For additive actuator and sensor faults, we propose a systematic method to design a state-space fault estimation filter directly from Markov parameters identified from fault-free data. We address this problem by parameterizing a…

Systems and Control · Computer Science 2017-08-31 Yiming Wan , Tamas Keviczky , Michel Verhaegen

This paper investigates the performance of the adaptive matched filtering (AMF) in cluttered environments, particularly when operating with superimposed signals. Since the instantaneous signal-to-clutter-plus-noise ratio (SCNR) is a random…

Information Theory · Computer Science 2025-12-10 Lei Xie , Hengtao He , Yifeng Xiong , Fan Liu , Shi Jin

The GMM (generalized min-max) kernel was recently proposed (Li, 2016) as a measure of data similarity and was demonstrated effective in machine learning tasks. In order to use the GMM kernel for large-scale datasets, the prior work resorted…

Machine Learning · Statistics 2016-07-13 Ping Li

Depth estimation is an essential component in understanding the 3D geometry of a scene, with numerous applications in urban and indoor settings. These scenes are characterized by a prevalence of human made structures, which in most of the…

Computer Vision and Pattern Recognition · Computer Science 2020-09-03 Mattia Rossi , Mireille El Gheche , Andreas Kuhn , Pascal Frossard

In a typical multi-standard military communication receiver, fast and reliable spectrum sensing unit is required to extract the information of multiple channels (frequency bands) present in a wideband input signal. In this paper, an energy…

Information Theory · Computer Science 2016-08-16 S. J. Darak , A. P. Vinod , E. M-K. Lai

Graph neural networks (GNN) have been shown to provide substantial performance improvements for atomistic material representation and modeling compared with descriptor-based machine learning models. While most existing GNN models for…

Materials Science · Physics 2022-04-08 Kamal Choudhary , Brian DeCost

As global climate change severely impacts our world, there is an increasing demand to monitor trace gases with a high spatial resolution and accuracy. At the same time, these instruments need to be compact in order have constellations for…

Optics · Physics 2025-08-14 Marijn Siemons , Ralf Kohlhaas

In many signal processing applications, the aim is to reconstruct a signal that has a simple representation with respect to a certain basis or frame. Fundamental elements of the basis known as "atoms" allow us to define "atomic norms" that…

Data Structures and Algorithms · Computer Science 2015-10-28 Nikhil Rao , Parikshit Shah , Stephen Wright

Line spectral estimation is a classical signal processing problem that aims to estimate the line spectra from their signal which is contaminated by deterministic or random noise. Despite a large body of research on this subject, the…

Information Theory · Computer Science 2020-10-15 Ping Liu , Hai Zhang

We consider a non-linear filtering problem, whereby the signal obeys the stochastic Navier-Stokes equations and is observed through a linear mapping with additive noise. The setup is relevant to data assimilation for numerical weather…

Computation · Statistics 2018-04-10 Francesc Pons Llopis , Nikolas Kantas , Alexandros Beskos , Ajay Jasra

The recently developed affine frequency division multiplexing (AFDM) can achieve full diversity in doubly selective channels, providing a comprehensive sparse representation of the delay-Doppler domain channel. Thus, accurate channel…

Signal Processing · Electrical Eng. & Systems 2024-04-02 Yu Zhou , Haoran Yin , Nanhao Zhou , Yanqun Tang , Xiaoying Zhang , Weijie Yuan

Here, we use Machine Learning (ML) algorithms to update and improve the efficiencies of fitting GARCH model parameters to empirical data. We employ an Artificial Neural Network (ANN) to predict the parameters of these models. We present a…

Econometrics · Economics 2022-01-11 Luke De Clerk , Sergey Savl'ev

While GNN-based detection methods excel at identifying overt outliers, they often struggle with boundary anomalies -- subtly camouflaged nodes that are difficult to distinguish from normal instances. This limitation highlights a fundamental…

Machine Learning · Computer Science 2026-03-05 Hwan Kim , Junghoon Kim , Sungsu Lim

This research examines the influence of the Coriolis parameter on the behaviour of the geophysical Korteweg-de Vries (KdV) equation. To efficiently approximate its solution, a novel surrogate framework, termed G-KdVNet, is proposed by…

Dynamical Systems · Mathematics 2026-04-17 Mrutyunjaya Sahoo , Arup Kumar Sahoo , Snehashish Chakraverty

The decomposition or approximation of a linear operator on a matrix space as a sum of Kronecker products plays an important role in matrix equations and low-rank modeling. The approximation problem in Frobenius norm admits a well-known…

Optimization and Control · Mathematics 2023-12-08 Mareike Dressler , André Uschmajew , Venkat Chandrasekaran

In the classic measurement error framework, covariates are contaminated by independent additive noise. This paper considers parameter estimation in such a linear errors-in-variables model where the unknown measurement error distribution is…

Methodology · Statistics 2023-10-24 Linh H. Nghiem , Cornelis J. Potgieter

Gridless methods show great superiority in line spectral estimation. These methods need to solve an atomic $l_0$ norm (i.e., the continuous analog of $l_0$ norm) minimization problem to estimate frequencies and model order. Since this…

Optimization and Control · Mathematics 2024-10-28 Bai Yan , Qi Zhao , Jin Zhang , J. Andrew Zhang , Xin Yao

Graph matching is a commonly used technique in computer vision and pattern recognition. Recent data-driven approaches have improved the graph matching accuracy remarkably, whereas some traditional algorithm-based methods are more robust to…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Haoru Tan , Chuang Wang , Sitong Wu , Xu-Yao Zhang , Fei Yin , Cheng-Lin Liu

In this study, we present the Graph Sub-Graph Network (GSN), a novel hybrid image classification model merging the strengths of Convolutional Neural Networks (CNNs) for feature extraction and Graph Neural Networks (GNNs) for structural…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Aryan Singh , Pepijn Van de Ven , Ciarán Eising , Patrick Denny
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