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Signal dimension, defined here as the number of copies with different delays or angular shifts, is a prerequisite for many high-resolution delay estimation and direction-finding algorithms in sensing and communication systems. Thus,…

Signal Processing · Electrical Eng. & Systems 2025-08-15 Yugang Ma , Yonghong Zeng , Sumei Sun , Gary Lee , Ernest Kurniawan , Francois Chin Po Shin

We propose an improved method for estimating partial differential equations and delay partial differential equations from data, using Bayesian optimization and the Bayesian information criterion to automatically find suitable…

Computational Physics · Physics 2026-02-23 Oliver Mai , Tim W. Kroll , Uwe Thiele , Oliver Kamps

The success of deep learning has inspired recent interests in applying neural networks in statistical inference. In this paper, we investigate the use of deep neural networks for nonparametric regression with measurement errors. We propose…

Machine Learning · Statistics 2020-07-16 Zhirui Hu , Zheng Tracy Ke , Jun S Liu

In this paper we present a neural network based estimator system which performs well the frequency extraction from unevenly sampled signals. It uses an unsupervised Hebbian nonlinear neural algorithm to extract the principal components…

Astrophysics · Physics 2007-05-23 R. Tagliaferri , A. Ciaramella , F. Barone , L. Milano

Periodicity analysis of unevenly collected data is a relevant issue in several scientific fields. In astrophysics, for example, we have to find the fundamental period of light or radial velocity curves which are unevenly sampled…

Astrophysics · Physics 2009-10-31 R. Tagliaferri , A. Ciaramella , L. Milano , F. Barone , G. Longo

Discontinuities and delayed terms are encountered in the governing equations of a large class of problems ranging from physics and engineering to medicine and economics. These systems cannot be properly modelled and simulated with standard…

Artificial Intelligence · Computer Science 2024-09-27 Thibault Monsel , Onofrio Semeraro , Lionel Mathelin , Guillaume Charpiat

Neural Ordinary Differential Equations (NODEs), a framework of continuous-depth neural networks, have been widely applied, showing exceptional efficacy in coping with representative datasets. Recently, an augmented framework has been…

Machine Learning · Computer Science 2023-04-12 Qunxi Zhu , Yao Guo , Wei Lin

Deep Neural Networks (DNNs) have achieved state-of-the-art accuracy performance in many tasks. However, recent works have pointed out that the outputs provided by these models are not well-calibrated, seriously limiting their use in…

Machine Learning · Computer Science 2020-07-16 Juan Maroñas , Roberto Paredes , Daniel Ramos

This paper investigates the use of probabilistic neural networks (PNNs) to model aleatoric uncertainty, which refers to the inherent variability in the input-output relationships of a system, often characterized by unequal variance or…

Machine Learning · Statistics 2024-02-22 Farhad Pourkamali-Anaraki , Jamal F. Husseini , Scott E. Stapleton

Harmonic retrieval techniques are the foundation of radio channel sounding, estimation, and modeling. This paper introduces a Deep Learning approach for joint delay- and Doppler estimation from frequency and time samples of a radio channel…

Signal Processing · Electrical Eng. & Systems 2023-12-20 Steffen Schieler , Sebastian Semper , Reza Faramarzahangari , Michael Döbereiner , Christian Schneider , R. Thomä

This work proposes a hybrid modeling framework based on recurrent neural networks (RNNs) and the finite element (FE) method to approximate model discrepancies in time dependent, multi-fidelity problems, and use the trained hybrid models to…

Computational Engineering, Finance, and Science · Computer Science 2024-02-20 Moritz von Tresckow , Herbert De Gersem , Dimitrios Loukrezis

Recent research works for solving partial differential equations (PDEs) with deep neural networks (DNNs) have demonstrated that spatiotemporal function approximators defined by auto-differentiation are effective for approximating nonlinear…

Numerical Analysis · Mathematics 2021-09-21 Haoxiang Huang , Yingjie Liu , Vigor Yang

Designing an optimal deep neural network for a given task is important and challenging in many machine learning applications. To address this issue, we introduce a self-adaptive algorithm: the adaptive network enhancement (ANE) method,…

Numerical Analysis · Mathematics 2022-03-02 Zhiqiang Cai , Jingshuang Chen , Min Liu

We present a method, referred to as Deep Harmonic Finesse (DHF), for separation of non-stationary quasi-periodic signals when limited data is available. The problem frequently arises in wearable systems in which, a combination of…

Image and Video Processing · Electrical Eng. & Systems 2024-07-03 Mahya Saffarpour , Kourosh Vali , Weitai Qian , Begum Kasap , Herman L. Hedriana , Soheil Ghiasi

Two-dimensional electronic spectroscopy has become one of the main experimental tools for analyzing the dynamics of excitonic energy transfer in large molecular complexes. Simplified theoretical models are usually employed to extract model…

Chemical Physics · Physics 2019-01-17 Mirta Rodríguez , Tobias Kramer

Target detection and recognition is a very challenging task in a wireless environment where a multitude of objects are located, whether to effectively determine their positions or to identify them and predict their moves. In this work, we…

Signal Processing · Electrical Eng. & Systems 2023-05-10 Mamady Delamou , Ahmad Bazzi , Marwa Chafii , El Mehdi Amhoud

A major challenge in designing neural network (NN) systems is to determine the best structure and parameters for the network given the data for the machine learning problem at hand. Examples of parameters are the number of layers and nodes,…

Artificial Intelligence · Computer Science 2017-05-25 Gonzalo Diaz , Achille Fokoue , Giacomo Nannicini , Horst Samulowitz

This paper addresses distributed parameter estimation in randomized one-hidden-layer neural networks. A group of agents sequentially receive measurements of an unknown parameter that is only partially observable to them. In this paper, we…

Systems and Control · Electrical Eng. & Systems 2020-03-23 Yinsong Wang , Shahin Shahrampour

Network or physical attacks on industrial equipment or computer systems may cause massive losses. Therefore, a quick and accurate anomaly detection (AD) based on monitoring data, especially the multivariate time-series (MTS) data, is of…

Machine Learning · Computer Science 2022-11-03 Jun Zhan , Chengkun Wu , Canqun Yang , Qiucheng Miao , Xiandong Ma

Neural networks (NN) have achieved state-of-the-art performance in various applications. Unfortunately in applications where training data is insufficient, they are often prone to overfitting. One effective way to alleviate this problem is…

Machine Learning · Computer Science 2016-11-03 Hao Wang , Xingjian Shi , Dit-Yan Yeung