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This contribution is devoted to the comparison of various resampling approaches that have been proposed in the literature on particle filtering. It is first shown using simple arguments that the so-called residual and stratified methods do…

Computational Engineering, Finance, and Science · Computer Science 2016-08-16 Randal Douc , Olivier Cappé , Eric Moulines

The leading workhorse of anomaly (and attack) detection in the literature has been residual-based detectors, where the residual is the discrepancy between the observed output provided by the sensors (inclusive of any tampering along the…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Navid Hashemi , Eduardo Verdugo German , Jonatan Pena Ramirez , Justin Ruths

Sequential Residual Methods try to solve nonlinear systems of equations $F(x)=0$ by iteratively updating the current approximate solution along a residual-related direction. Therefore, memory requirements are minimal and, consequently,…

Numerical Analysis · Mathematics 2023-04-28 Ernesto G. Birgin , J. M. Martínez

Existing image SR and generic diffusion models transfer poorly to fluid SR: they are sampling-intensive, ignore physical constraints, and often yield spectral mismatch and spurious divergence. We address fluid super-resolution (SR) with…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Zhihao Li , Shengwei Dong , Chuang Yi , Junxuan Gao , Zhilu Lai , Zhiqiang Liu , Wei Wang , Guangtao Zhang

The Deep Fourier Residual (DFR) method is a specific type of variational physics-informed neural networks (VPINNs). It provides a robust neural network-based solution to partial differential equations (PDEs). The DFR strategy is based on…

Numerical Analysis · Mathematics 2024-01-11 Jamie M. Taylor , Manuela Bastidas , Victor M. Calo , David Pardo

It is well known that energy dissipation and finite size can deeply affect the dynamics of granular matter, often making usual hydrodynamic approaches problematic. Here we report on the experi-mental investigation of a small model system,…

Soft Condensed Matter · Physics 2023-10-31 Andrea Gnoli , Giorgio Pontuale , Andrea Puglisi , Alberto Petri

In present study, we discuss results of applicability of discrete filters for large eddy simulation (LES) method of forced compressible magnetohydrodynamic (MHD) turbulent flows with the scale-similarity model. Influences and effects of…

Plasma Physics · Physics 2013-11-11 Alexander A. Chernyshov , Kirill. V. Karelsky , Arakel. S. Petrosyan

Parameter-efficient fine-tuning for pre-trained Vision Transformers aims to adeptly tailor a model to downstream tasks by learning a minimal set of new adaptation parameters while preserving the frozen majority of pre-trained parameters.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Wei Dong , Xing Zhang , Bihui Chen , Dawei Yan , Zhijun Lin , Qingsen Yan , Peng Wang , Yang Yang

We introduce an auxiliary technique, called residual nudging, to the particle filter to enhance its performance in cases that it performs poorly. The main idea of residual nudging is to monitor, and if necessary, adjust the residual norm of…

Atmospheric and Oceanic Physics · Physics 2013-06-03 Xiaodong Luo , Ibrahim Hoteit

The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However this method has two main limitations: it does not converge for arbitrary…

Fluid Dynamics · Physics 2015-10-28 Bastien E. Jordi , Colin J. Cotter , Spencer J. Sherwin

We start out by demonstrating that an elementary learning task, corresponding to the training of a single linear neuron in a convolutional neural network, can be solved for feature spaces of very high dimensionality. In a second step,…

Computer Vision and Pattern Recognition · Computer Science 2017-07-11 Marco Loog , François Lauze

Reactive settling denotes the process of sedimentation of small solid particles dispersed in a viscous fluid with simultaneous reactions between the components that constitute the solid and liquid phases. This process is of particular…

Numerical Analysis · Mathematics 2021-05-25 Raimund Bürger , Julio Careaga , Stefan Diehl

Data assimilation methodologies are designed to incorporate noisy observations of a physical system into an underlying model in order to infer the properties of the state of the system. Filters refer to a class of data assimilation…

Optimization and Control · Mathematics 2013-08-06 C. E. A. Brett , K. F. Lam , K. J. H. Law , D. S. McCormick , M. R. Scott , A. M. Stuart

Residual networks (ResNets) have been utilized for various computer vision and image processing applications. The residual connection improves the training of the network with better gradient flow. A residual block consists of few…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Satya Rajendra Singh , Roshan Reddy Yedla , Shiv Ram Dubey , Rakesh Sanodiya , Wei-Ta Chu

Federated learning (FL) scenarios inherently generate a large communication overhead by frequently transmitting neural network updates between clients and server. To minimize the communication cost, introducing sparsity in conjunction with…

Machine Learning · Computer Science 2022-04-12 Daniel Becking , Heiner Kirchhoffer , Gerhard Tech , Paul Haase , Karsten Müller , Heiko Schwarz , Wojciech Samek

This study examines whether the dispersion of passive particles at the free surface of a generic (nonturbulent) shallow flow can reliably represent the behavior of depth-keeping particles below the surface. A shallow configuration…

Fluid Dynamics · Physics 2026-02-12 Lenin M. Flores Ramírez , Matias Duran-Matute , Herman J. H. Clercx

Data assimilation methodologies are designed to incorporate noisy observations of a physical system into an underlying model in order to infer the properties of the state of the system. Filters refer to a class of data assimilation…

Optimization and Control · Mathematics 2011-10-13 C. E. A. Brett , K. F. Lam , K. J. H. Law , D. S. McCormick , M. R. Scott , A. M. Stuart

A dissipative sandpile model (DSM) is constructed and studied on small world networks (SWN). SWNs are generated adding extra links between two arbitrary sites of a two dimensional square lattice with different shortcut densities $\phi$.…

Statistical Mechanics · Physics 2014-01-23 Himangsu Bhaumik , S. B. Santra

Digital filters for recursively computing the discrete Fourier transform (DFT) and estimating the frequency spectrum of sampled signals are examined, with an emphasis on magnitude-response and numerical stability. In this tutorial-style…

Systems and Control · Computer Science 2015-08-26 Hugh L. Kennedy

Modeling non-stationary processes, where statistical properties vary across the input domain, is a critical challenge in machine learning; yet most scalable methods rely on a simplifying assumption of stationarity. This forces a difficult…

Machine Learning · Computer Science 2026-02-03 Sawan Kumar , Souvik Chakraborty
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