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Disturbance noises are always bounded in a practical system, while fusion estimation is to best utilize multiple sensor data containing noises for the purpose of estimating a quantity--a parameter or process. However, few results are…

Systems and Control · Computer Science 2018-07-20 Bo Chen , Guoqiang Hu , Daniel W. C. Ho , Li Yu

We propose an Gaussian Mixture Model (GMM) learning algorithm, based on our previous work of GMM expansion idea. The new algorithm brings more robustness and simplicity than classic Expectation Maximization (EM) algorithm. It also improves…

Machine Learning · Computer Science 2023-09-07 Weiguo Lu , Xuan Wu , Deng Ding , Gangnan Yuan

We derive an asymptotic expansion for the log likelihood of Gaussian mixture models (GMMs) with equal covariance matrices in the low signal-to-noise regime. The expansion reveals an intimate connection between two types of algorithms for…

Statistics Theory · Mathematics 2020-06-30 Anya Katsevich , Afonso Bandeira

This paper puts forward a framework to accelerate Electromagnetic Transient (EMT) simulations by replacing individual components with trained Physics-Informed Neural Networks (PINNs). EMT simulations are considered the cornerstone of…

We propose a low complexity graph-based linear minimum mean square error (LMMSE) equalizer which considers both the intersymbol interference (ISI) and the effect of non-white noise inherent in Faster-than-Nyquist (FTN) signaling. In order…

Information Theory · Computer Science 2016-11-17 Pinar Sen , Tugcan Aktas , A. Ozgur Yilmaz

We propose a method for estimating channel parameters from RSSI measurements and the lost packet count, which can work in the presence of losses due to both interference and signal attenuation below the noise floor. This is especially…

Machine Learning · Computer Science 2015-04-07 Silvija Kokalj-Filipovic , Larry Greenstein

In this work we investigate the numerical identification of the diffusion coefficient in elliptic and parabolic problems using neural networks. The numerical scheme is based on the standard output least-squares formulation where the…

Numerical Analysis · Mathematics 2023-02-22 Siyu Cen , Bangti Jin , Qimeng Quan , Zhi Zhou

Fast Incremental Expectation Maximization (FIEM) is a version of the EM framework for large datasets. In this paper, we first recast FIEM and other incremental EM type algorithms in the {\em Stochastic Approximation within EM} framework.…

Machine Learning · Computer Science 2021-01-01 Gersende Fort , P. Gach , E. Moulines

We propose a new recursive estimator for linear dynamical systems under Gaussian process noise and non-Gaussian measurement noise. Specifically, we develop an approximate maximum a posteriori (MAP) estimator using dynamic programming and…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Mohammad Hussein Yoosefian Nooshabadi , Laurent Lessard

Visual-inertial initialization can be classified into joint and disjoint approaches. Joint approaches tackle both the visual and the inertial parameters together by aligning observations from feature-bearing points based on IMU integration…

Robotics · Computer Science 2023-08-08 Weihan Wang , Jiani Li , Yuhang Ming , Philippos Mordohai

We investigate the potential of adaptive equalization techniques to mitigate inter-channel nonlinear interference noise (NLIN). We derive a lower bound on the mutual information of a system using adaptive equalization, showing that the…

Signal Processing · Electrical Eng. & Systems 2017-10-03 Ori Golani , Meir Feder , Mark Shtaif

The recent emergence of deep learning has led to a great deal of work on designing supervised deep semantic segmentation algorithms. As in many tasks sufficient pixel-level labels are very difficult to obtain, we propose a method which…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Matthias Schwab , Agnes Mayr , Markus Haltmeier

The Kalman filter (KF) is one of the most widely used tools for data assimilation and sequential estimation. In this work, we show that the state estimates from the KF in a standard linear dynamical system setting are equivalent to those…

Methodology · Statistics 2021-08-04 Maria Jahja , David C. Farrow , Roni Rosenfeld , Ryan J. Tibshirani

Impulsive noise (IN) commonly generated by power devices can severely degrade the performance of high sensitivity wireless receivers. Accurate channel state information (CSI) knowledge is essential for designing optimal maximum a posteriori…

Signal Processing · Electrical Eng. & Systems 2025-10-03 Chin-Hung Chen , Ivana Nikoloska , Wim van Houtum , Yan Wu , Boris Karanov , Alex Alvarado

Analysis of brain imaging scans is critical to understanding the way the human brain functions, which can be leveraged to treat injuries and conditions that affect the quality of life for a significant portion of the human population. In…

Methodology · Statistics 2022-03-02 Daniel Spencer , David Bolin , Mary Beth Nebel , Amanda Mejia

We consider a model nondispersive nonlinear optical fiber channel with additive white Gaussian noise at large $\mathrm{SNR}$ (signal-to-noise ratio) in the intermediate power region. Using Feynman path-integral technique we for the first…

Information Theory · Computer Science 2016-05-06 I. S. Terekhov , A. V. Reznichenko , Ya. A. Kharkov , S. K. Turitsyn

This work builds upon previous efforts in online incremental learning, namely the Incremental Gaussian Mixture Network (IGMN). The IGMN is capable of learning from data streams in a single-pass by improving its model after analyzing each…

Machine Learning · Computer Science 2017-02-08 Rafael Pinto , Paulo Engel

Gaussian process state-space models (GPSSMs) offer a principled framework for learning and inference in nonlinear dynamical systems with uncertainty quantification. However, existing GPSSMs are limited by the use of multiple independent…

Machine Learning · Statistics 2025-12-11 Zhidi Lin , Ying Li , Feng Yin , Juan Maroñas , Alexandre H. Thiéry

This paper investigates the graph neural network (GNN)-enabled beamforming design for interference channels. We propose a model termed interference channel GNN (ICGNN) to solve a quality-of-service constrained energy efficiency maximization…

Signal Processing · Electrical Eng. & Systems 2025-02-07 Changpeng He , Yang Lu , Bo Ai , Octavia A. Dobre , Zhiguo Ding , Dusit Niyato

The Sixth Generation (6G) radio technology is expected to include local 6G networks as a special use case, extending the capabilities of `generic' 6G networks towards more demanding performance requirements. Reconfigurable intelligent…

Signal Processing · Electrical Eng. & Systems 2025-10-20 Ishan Rangajith Koralege , Nurul Huda Mahmood , Arthur Sousa de Sena , Italo Atzeni