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In this paper, we introduce an adaptive kernel method for solving the optimal filtering problem. The computational framework that we adopt is the Bayesian filter, in which we recursively generate an optimal estimate for the state of a…

Numerical Analysis · Mathematics 2022-03-11 Zezhong Zhang , Richard Archibald , Feng Bao

Frontal photopolymerization (FPP) provides a versatile method for the rapid fabrication of solid polymer network materials by exposing photosensitive molecules to light. Dimensional control of structures created by this process is crucial…

Materials Science · Physics 2009-11-11 James A. Warren , Joao T. Cabral , Jack F. Douglas

Feature pyramid network (FPN) is a critical component in modern object detection frameworks. The performance gain in most of the existing FPN variants is mainly attributed to the increase of computational burden. An attempt to enhance the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Mingjian Zhu , Kai Han , Changbin Yu , Yunhe Wang

The fast Fourier transform (FFT) is undoubtedly an essential primitive that has been applied in various fields of science and engineering. In this paper, we present a decomposition method for parallelization of multi-dimensional FFTs with…

Numerical Analysis · Computer Science 2013-02-26 Truong Vinh Truong Duy , Taisuke Ozaki

Polynomial reproduction plays a relevant role in deriving error estimates for various approximation schemes. Local reproduction in a quasi-uniform setting is a significant factor in the estimation of error and the assessment of stability…

Numerical Analysis · Mathematics 2024-11-25 Stefano De Marchi , Giacomo Cappellazzo

Functional time series (FTS) data have become increasingly available in real-world applications. Research on such data typically focuses on two objectives: curve reconstruction and forecasting, both of which require efficient dimension…

Methodology · Statistics 2025-06-23 Zerui Guo , Jianbin Tan , Hui Huang

To reduce computational overhead while maintaining model performance, model pruning techniques have been proposed. Among these, structured pruning, which removes entire convolutional channels or layers, significantly enhances computational…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Qingsong Lv , Jiasheng Sun , Sheng Zhou , Xu Zhang , Liangcheng Li , Yun Gao , Sun Qiao , Jie Song , Jiajun Bu

A series of graph filtering (GF)-based collaborative filtering (CF) showcases state-of-the-art performance on the recommendation accuracy by using a low-pass filter (LPF) without a training process. However, conventional GF-based CF…

Information Retrieval · Computer Science 2024-04-23 Jin-Duk Park , Yong-Min Shin , Won-Yong Shin

The matched filter (MF) represents one of the main tools to detect signals from known sources embedded in the noise. In the Gaussian case the noise is assumed to be the realization of a Gaussian random field (GRF). The most important…

Instrumentation and Methods for Astrophysics · Physics 2019-07-10 R. Vio , P. Andreani , A. Biggs , N. Hayatsu

The Poisson Flow Consistency Model (PFCM) is a consistency-style model based on the robust Poisson Flow Generative Model++ (PFGM++) which has achieved success in unconditional image generation and CT image denoising. Yet the PFCM can only…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Anthony Zhang , Mahmut Gokmen , Dennis Hein , Rongjun Ge , Wenjun Xia , Ge Wang , Jin Chen

Feedback-based quantum algorithms have recently emerged as potential methods for approximating the ground states of Hamiltonians. One such algorithm, the feedback-based algorithm for quantum optimization (FALQON), is specifically designed…

Quantum Physics · Physics 2025-08-18 Salahuddin Abdul Rahman , Özkan Karabacak , Rafal Wisniewski

Particle filters are a frequent choice for inference tasks in nonlinear and non-Gaussian state-space models. They can either be used for state inference by approximating the filtering distribution or for parameter inference by approximating…

Machine Learning · Computer Science 2026-02-27 Domonkos Csuzdi , Olivér Törő , Tamás Bécsi

State filtering is a key problem in many signal processing applications. From a series of noisy measurement, one would like to estimate the state of some dynamic system. Existing techniques usually adopt a Gaussian noise assumption which…

Methodology · Statistics 2016-12-16 Bin Liu

During the last two decades there has been a growing interest in Particle Filtering (PF). However, PF suffers from two long-standing problems that are referred to as sample degeneracy and impoverishment. We are investigating methods that…

Artificial Intelligence · Computer Science 2017-07-31 Tiancheng Li , Shudong Sun , Tariq P. Sattar , Juan M. Corchado

This paper proposes an original adaptive refinement framework using Radial Basis Functions-generated Finite Differences method. Node distributions are generated with a Poisson Disk Sampling-based algorithm from a given continuous density…

Numerical Analysis · Mathematics 2020-05-12 Jure Slak , Gregor Kosec

The robust estimation of dynamically changing features, such as the position of prey, is one of the hallmarks of perception. On an abstract, algorithmic level, nonlinear Bayesian filtering, i.e. the estimation of temporally changing signals…

Neurons and Cognition · Quantitative Biology 2022-01-05 Anna Kutschireiter , Simone Carlo Surace , Henning Sprekeler , Jean-Pascal Pfister

This Point spread function (PSF) plays a crucial role in many computational imaging applications, such as shape from focus/defocus, depth estimation, and fluorescence microscopy. However, the mathematical model of the defocus process is…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Renzhi He , Yan Zhuang , Boya Fu , Fei Liu

We develop new approximation algorithms and data structures for representing and computing with multivariate functions using the functional tensor-train (FT), a continuous extension of the tensor-train (TT) decomposition. The FT represents…

Numerical Analysis · Mathematics 2018-12-13 Alex A. Gorodetsky , Sertac Karaman , Youssef M. Marzouk

Image filters are fast, lightweight and effective, which make these conventional wisdoms preferable as basic tools in vision tasks. In practical scenarios, users have to tweak parameters multiple times to obtain satisfied results. This…

Computer Vision and Pattern Recognition · Computer Science 2022-03-02 Fu Lee Wang , Yidan Feng , Haoran Xie , Gary Cheng , Mingqiang Wei

We generalize the interpolative separable density fitting (ISDF) method, used for compressing the four-index electron repulsion integral (ERI) tensor, to incorporate adaptive real space grids for potentially highly localized single-particle…

Computational Physics · Physics 2026-02-17 Hai Zhu , Chia-Nan Yeh , Miguel A. Morales , Leslie Greengard , Shidong Jiang , Jason Kaye
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