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The Kalman filter is a fundamental tool for state estimation in dynamical systems. While originally developed for linear Gaussian settings, it has been extended to nonlinear problems through approaches such as the extended and unscented…

Optimization and Control · Mathematics 2025-09-10 Yuan Wu , Sicheng He

A convolutional neural network is proposed to mitigate fiber transmission effects, achieving a five-fold reduction in trainable parameters compared to alternative equalizers, and 3.5 dB improvement in MSE compared to DBP with comparable…

Signal Processing · Electrical Eng. & Systems 2022-10-12 Mohannad Abu-romoh , Nelson Costa , Antonio Napoli , João Pedro , Yves Jaouën , Mansoor Yousefi

Accurate and computationally light algorithms for estimating the State of Charge (SoC) of a battery's cells are crucial for effective battery management on embedded systems. In this letter, we propose an Adaptive Extended Kalman Filter…

Systems and Control · Electrical Eng. & Systems 2025-04-09 António Barros , Edoardo Peretti , Davide Fabroni , Diego Carrera , Pasqualina Fragneto , Giacomo Boracchi

Non-negative Matrix Factorization(NMF) algorithm can only be used to find low rank approximation of original non-negative data while Concept Factorization(CF) algorithm extends matrix factorization to single non-linear kernel space,…

Machine Learning · Computer Science 2024-10-29 Fei Li , Liang Du , Chaohong Ren

We experimentally demonstrate the first field-programmable gate-array-based real-time fiber nonlinearity compensator (NLC) using sparse K-means++ machine learning clustering in an energy-efficient 40-Gb/s 16-quadrature amplitude modulated…

Applied Physics · Physics 2019-10-11 Elias Giacoumidis , Yi Lin , Michaela Blott , Liam P. Barry

Recent convolutional neural network (CNN) development continues to advance the state-of-the-art model accuracy for various applications. However, the enhanced accuracy comes at the cost of substantial memory bandwidth and storage…

Computer Vision and Pattern Recognition · Computer Science 2021-07-20 Hsu-Hsun Chin , Ren-Song Tsay , Hsin-I Wu

Path-length diversity methods may be used for adaptive optics (AO) systems to retrieve phase and amplitude information by measuring intensity across multiple planes. Observations that rely on free-space propagation, such as the nonlinear…

Counter-adversarial system design problems have lately motivated the development of inverse Bayesian filters. For example, inverse Kalman filter (I-KF) has been recently formulated to estimate the adversary's Kalman-filter-tracked estimates…

Optimization and Control · Mathematics 2023-08-11 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

This paper proposes a novel geometric nonlinear filter for attitude and bias estimation on the Special Orthogonal Group $SO(3)$ using matrix measurements. The structure of the proposed filter is similar to that of the continuous-time…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Farooq Aslam , Muhammad Farooq Haydar , Suhail Akhtar

Deploying large language models (LLMs) on edge devices requires extremely low-bit quantization. Ultra-low precision formats such as NVFP4 offer a promising solution for reducing memory footprint and accelerating computation. However,…

Machine Learning · Computer Science 2026-03-25 Hanglin Li , Shuchang Tian , Chen Lin , Zhiyong Zhao , Kun Zhan

Advances in quantum technologies are accelerating the demand for optical quantum state sensors that combine high precision, versatility, and scalability within a unified hardware platform. Quantum reservoir computing offers a powerful route…

Building on the successes of local kernel methods for approximating the solutions to partial differential equations (PDE) and the evaluation of definite integrals (quadrature/cubature), a local estimate of the error in such approximations…

Numerical Analysis · Mathematics 2023-08-30 Jonah A. Reeger

Complex-valued neural networks (CVNNs) have been shown to be powerful nonlinear approximators when the input data can be properly modeled in the complex domain. One of the major challenges in scaling up CVNNs in practice is the design of…

Neural and Evolutionary Computing · Computer Science 2019-02-07 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Aurelio Uncini

Angular filter refractometry is an optical diagnostic that measures absolute contours of line-integrated density gradient by placing a filter with alternating opaque and transparent zones in the focal plane of a probe beam, which produce…

Plasma Physics · Physics 2023-11-30 P. V. Heuer , D. Haberberger , S. T. Ivancic , C. A. Walsh , J. R. Davies

We propose a new algorithm for an adaptive optics system control law, based on the Linear Quadratic Gaussian approach and a Kalman Filter adaptation with localizations. It allows to handle non-stationary behaviors, to obtain performance…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Morgan Gray , Cyril Petit , Sergey Rodionov , Marc Bocquet , Laurent Bertino , Marc Ferrari , Thierry Fusco

The paper proposes a new recursive filter for non-linear systems that inherently computes a valid bound on the mean square estimation error. The proposed filter, bound based extended Kalman, (BEKF) is in the form of an extended Kalman…

Optimization and Control · Mathematics 2014-10-02 Gyorgy Hexner , Haim Weiss

Neural Radiance Fields (NeRF) have exhibited highly effective performance for photorealistic novel view synthesis recently. However, the key limitation it meets is the reliance on a hand-crafted frequency annealing strategy to recover 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Rui Qian , Chenyangguang Zhang , Yan Di , Guangyao Zhai , Ruida Zhang , Jiayu Guo , Benjamin Busam , Jian Pu

We focus on the nonparametric density estimation problem with directional data. We propose a new rule for bandwidth selection for kernel density estimation. Our procedure is automatic, fully data-driven and adaptive to the smoothness degree…

Statistics Theory · Mathematics 2018-08-08 Thanh Mai Pham Ngoc

The curvature of ODE trajectories in diffusion models hinders their ability to generate high-quality images in a few number of function evaluations (NFE). In this paper, we propose a novel and effective approach to reduce trajectory…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Yuchen Liang , Yuchuan Tian , Lei Yu , Huao Tang , Jie Hu , Xiangzhong Fang , Hanting Chen

An important problem in fiber-optic communications is to invert the nonlinear Schr\"odinger equation in real time to reverse the deterministic effects of the channel. Interestingly, the popular split-step Fourier method (SSFM) leads to a…

Information Theory · Computer Science 2018-04-10 Christian Häger , Henry D. Pfister