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In this work, we propose a distributed adaptive observer for a class of nonlinear networked systems inspired by biophysical neural network models. Neural systems learn by adjusting intrinsic and synaptic weights in a distributed fashion,…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Thiago B. Burghi , Timothy O'Leary , Rodolphe Sepulchre

While deep learning offers powerful capabilities for scientific research, its application is often hindered by a lack of quantitative reliability. To address this, we introduce a probabilistic denoising framework that simultaneously…

Strongly Correlated Electrons · Physics 2026-05-11 Younsik Kim , Changyoung Kim

In this letter, we propose a modulation classification algorithm which is based on the received signal's amplitude for coherent optical receivers. The proposed algorithm classifies the modulation format from several possible candidates by…

Signal Processing · Electrical Eng. & Systems 2018-01-08 Xiang Lin , Yahia A. Eldemerdash , Octavia A. Dobre , Shu Zhang , Cheng Li

We demonstrate the implementation of a novel machine learning framework for probability density estimation and classification using quantum circuits. The framework maps a training data set or a single data sample to the quantum state of a…

Quantum Physics · Physics 2022-06-28 Vladimir Vargas-Calderón , Fabio A. González , Herbert Vinck-Posada

Spectral amplitude modulation for dual-polarization multi-soliton transmission is considered. We show, that spectral amplitudes become highly correlated during propagation along a noisy fiber link. Thus, joint equalization is generally…

Information Theory · Computer Science 2018-12-12 Alexander Span , Vahid Aref , Henning Buelow , Stephan ten Brink

Spatial multiplexing (SM) gains in multiple input multiple output (MIMO) cellular networks are limited when used in combination with ultra-dense small cell networks. This limitation is due to large spatial correlation among channel pairs.…

Information Theory · Computer Science 2016-11-15 Amir H. Jafari , Vijay Venkateswaran , David Lopez-Perez , Jie Zhang

This work establishes a framework of near-field communication under different array geometries of extremely large-scale multiple-input multiple-output (XL-MIMO). We first formulate the near-field spatial non-stationary channel model which…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Kangda Zhi , Yi Song , Tianyu Yang , Tuo Wu , Tengjiao Wang , Songyan Xue , Fangzhou Wu , Giuseppe Caire

We evaluate the mutual information between the input and the output of a two layer network in the case of a noisy and non-linear analogue channel. In the case where the non-linearity is small with respect to the variability in the noise, we…

Statistical Mechanics · Physics 2009-10-31 E. Korutcheva , V. Del Prete , J. -P. Nadal

Learning in uncertain, noisy, or adversarial environments is a challenging task for deep neural networks (DNNs). We propose a new theoretically grounded and efficient approach for robust learning that builds upon Bayesian estimation and…

Machine Learning · Computer Science 2021-11-12 Giuseppina Carannante , Dimah Dera , Ghulam Rasool , Nidhal C. Bouaynaya , Lyudmila Mihaylova

We propose a mathematical framework to systematically explore the propagation properties of a class of continuous in time nonlinear neural network models comprising a hierarchy of processing areas, mutually connected according to the…

Analysis of PDEs · Mathematics 2025-05-15 Andrea Alamia , Léa Dalliès , Grégory Faye , Rufin Vanrullen

The performance of collaborative beamforming is analyzed using the theory of random arrays. The statistical average and distribution of the beampattern of randomly generated phased arrays is derived in the framework of wireless ad hoc…

Information Theory · Computer Science 2016-08-31 Hideki Ochiai , Patrick Mitran , H. Vincent Poor , Vahid Tarokh

We examine pulse amplitude modulation (PAM) for intensity modulation and direct detection systems. Using a straight-forward, mixed noise model, we optimize the constellations with an autoencoder-based neural network (NN), an improve…

Signal Processing · Electrical Eng. & Systems 2024-05-31 Amir Omidi , Mai Banawan , Erwan Weckenmann , Benoit Paquin , Alireza Geravand , Zibo Zheng , Wei Shi , Ming Zeng , Leslie A. Rusch

Compensating for nonlinear effects using digital signal processing (DSP) is complex and computationally expensive in long-haul optical communication systems due to intractable interactions between Kerr nonlinearity, chromatic dispersion…

Signal Processing · Electrical Eng. & Systems 2023-08-24 Naveenta Gautam , Sai Vikranth Pendem , Brejesh Lall , Amol Choudhary

Affine frequency division multiplexing (AFDM) has recently emerged as a promising waveform for doubly-selective channles [1],[2], owing to its ability to fully exploit time-frequency diversity through appropriate tuning of the chirp-rate…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Haojian Zhang , Jiayan Yang , Tingting Zhang , Xu Zhu , Qinyu Zhang

State-space models are a popular statistical framework for analysing sequential data. Within this framework, particle filters are often used to perform inference on non-linear state-space models. We introduce a new method, StateMixNN, that…

Machine Learning · Computer Science 2025-03-28 Benjamin Cox , Santiago Segarra , Victor Elvira

This work conceives a Ring-Bayes channel learning framework that unifies Bayesian learning with near-field channel estimation in millimeter-wave (mmWave) hybrid MIMO systems. As the number of antennas scales up, users increasingly fall…

Signal Processing · Electrical Eng. & Systems 2026-05-08 Abhisha Garg , Priya Gupta , Suraj Srivastava , Aditya Jagannatham

We show how to distribute with percentage success probabilities almost perfectly entangled qubit memory pairs over repeater channel segments of the order of the optical attenuation distance. In addition to some weak, dispersive light-matter…

Quantum Physics · Physics 2013-05-29 Ludmila Praxmeyer , Peter van Loock

We introduce a distributed quantum-classical framework that synergizes photonic quantum neural networks (QNNs) with matrix-product-state (MPS) mapping to achieve parameter-efficient training of classical neural networks. By leveraging…

Quantum Physics · Physics 2025-05-14 Kuan-Cheng Chen , Chen-Yu Liu , Yu Shang , Felix Burt , Kin K. Leung

Coherent dual-polarization (DP) optical transmission systems encode information on the four available degrees of freedom of an optical field: the two polarization states, each with two quadrature components. Such systems naturally operate…

Signal Processing · Electrical Eng. & Systems 2026-01-28 Zhiwei Liang , Bin Chen , Yi Lei , Gabriele Liga , Alex Alvarado

Advanced channel decoders rely on soft-decision decoder inputs for which mutual information (MI) is the natural figure of merit. In this paper, we analyze an optical fiber system by evaluating MI as the maximum achievable rate of…

Information Theory · Computer Science 2015-11-20 Tobias Fehenberger , Norbert Hanik