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We analyze Stackelberg Gaussian signaling games where the encoder and decoder have a linear sensitivity mismatch. Unlike the standard additive-bias model, a sensitivity mismatch means the encoder prefers the decoder to track a linear…

Computer Science and Game Theory · Computer Science 2026-05-15 Hassan Munif , Vineeth Satheeskumar Varma , Samson Lasaulce

High-throughput data analyses are becoming common in biology, communications, economics and sociology. The vast amounts of data are usually represented in the form of matrices and can be considered as knowledge networks. Spectra-based…

Quantitative Methods · Quantitative Biology 2010-01-06 Viet-Anh Nguyen , Zdena Koukolikova-Nicola , Franco Bagnoli , Pietro Lio

In this paper, we study connections between the classical model-based approach to nonlinear system theory, where systems are represented by equations, and the nonlinear behavioral approach, where systems are defined as sets of trajectories.…

Optimization and Control · Mathematics 2024-05-30 Antonio Fazzi , Alessandro Chiuso

Multilayer (or deep) networks are powerful probabilistic models based on multiple stages of a linear transform followed by a non-linear (possibly random) function. In general, the linear transforms are defined by matrices and the non-linear…

Information Theory · Computer Science 2017-10-13 Galen Reeves

Recently an analytical model was presented that treats the nonlinear signal distortion from the Kerr nonlinearity in optical transmission systems as additive white Gaussian noise. This important model predicts the impact of the Kerr…

Optics · Physics 2015-06-05 Pontus Johannisson

Molecular communication is a biologically-inspired method of communication with attractive properties for microscale and nanoscale devices. In molecular communication, messages are transmitted by releasing a pattern of molecules at a…

Information Theory · Computer Science 2008-12-09 Andrew W. Eckford

There is a fundamental limit on the capacity of fibre optical communication system (Shannon Limit). This limit can be potentially overcome via using Nonlinear Frequency Division Multiplexing. Dealing with noises in these systems is one of…

Information Theory · Computer Science 2017-11-28 Wen Qi Zhang , Tao Gui , Qun Zhang , Chao Lu , Tanya M. Monro , Terence H. Chan , Alan Pak Tao Lau , Shahraam Afshar

This paper considers the impact of external noise sources, including interfering transmitters, on a diffusive molecular communication system, where the impact is measured as the number of noise molecules expected to be observed at a passive…

Information Theory · Computer Science 2015-11-20 Adam Noel , Karen C. Cheung , Robert Schober

This paper presents a Markov-based system model for microfluidic molecular communication (MC) channels. By discretizing the advection-diffusion dynamics, the proposed model establishes a physically consistent state-space formulation. The…

Emerging Technologies · Computer Science 2025-11-11 Ruifeng Zheng , Pengjie Zhou , Pit Hofmann , Fatima Rani , Juan A. Cabrera , Frank H. P. Fitzek

We study the problem of simulating protocols in a quantum communication setting over noisy channels. This problem falls at the intersection of quantum information theory and quantum communication complexity, and it will be of importance for…

Quantum Physics · Physics 2019-06-12 Gilles Brassard , Ashwin Nayak , Alain Tapp , Dave Touchette , Falk Unger

In diffusion-based molecular communication, information transport is governed by diffusion through a fluid medium. The achievable data rates for these channels are very low compared to the radio-based communication system, since diffusion…

Emerging Technologies · Computer Science 2016-03-15 Bon-Hong Koo , Changmin Lee , H. Birkan Yilmaz , Nariman Farsad , Andrew Eckford , Chan-Byoung Chae

Single-cell studies often show significant phenotypic variability due to the stochastic nature of intra-cellular biochemical reactions. When the numbers of molecules, e.g., transcription factors and regulatory enzymes, are in low abundance,…

Quantitative Methods · Quantitative Biology 2015-06-17 Kyung Hyuk Kim , Hong Qian , Herbert M. Sauro

Nonlinear interference is modeled by a time-varying conditionally Gaussian channel. It is shown that approximating this channel with a time-invariant channel imposes considerable loss in the performance of channel decoding. An adaptive…

Information Theory · Computer Science 2021-02-02 Reza Rafie Borujeny , Frank R. Kschischang

An efficient technique is introduced for model inference of complex nonlinear dynamical systems driven by noise. The technique does not require extensive global optimization, provides optimal compensation for noise-induced errors and is…

Data Analysis, Statistics and Probability · Physics 2007-05-23 V. N. Smelyanskiy , D. A. Timucin , A. Bandrivskyy , D. G. Luchinsky

In signal integrity analysis, the joint effect of propagated noise through library cells, and of the noise injected on a quiet net by neighboring switching nets through coupling capacitances, must be considered in order to accurately…

Hardware Architecture · Computer Science 2011-11-09 Cristiano Forzan , Davide Pandini

In this contribution, we propose a kernel-based method for the identification of linear systems from noisy and incomplete input-output datasets. We model the impulse response of the system as a Gaussian process whose covariance matrix is…

Systems and Control · Computer Science 2017-01-18 Riccardo Sven Risuleo , Giulio Bottegal , Håkan Hjalmarsson

Additive asynchronous and cyclostationary impulsive noise limits communication performance in OFDM powerline communication (PLC) systems. Conventional OFDM receivers assume additive white Gaussian noise and hence experience degradation in…

Machine Learning · Statistics 2016-11-18 Jing Lin , Marcel Nassar , Brian L. Evans

This paper investigates the consensus problem in almost sure sense for uncertain multi-agent systems with noises and fixed topology. By combining the tools of stochastic analysis, algebraic graph theory, and matrix theory, we analyze the…

Adaptation and Self-Organizing Systems · Physics 2012-06-06 Radha F. Gupta , Poom Kumam

This paper is centered around the approximation of dynamical systems by means of Gaussian processes. To this end, trajectories of such systems must be collected to be used as training data. The measurements of these trajectories are…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Tobias M. Wolff , Victor G. Lopez , Matthias A. Müller

This work presents a new multi-chemical experimental platform for molecular communication where the transmitter can release different chemicals. This platform is designed to be inexpensive and accessible, and it can be expanded to simulate…

Emerging Technologies · Computer Science 2017-04-18 Nariman Farsad , David Pan , Andrea Goldsmith