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Flow cytometry measurements are widely used in diagnostics and medical decision making. Incomplete understanding of sources of measurement uncertainty can make it difficult to distinguish autofluorescence and background sources from signals…

Quantitative Methods · Quantitative Biology 2024-12-02 Prajakta Bedekar , Megan A. Catterton , Matthew DiSalvo , Gregory A. Cooksey , Anthony J. Kearsley , Paul N. Patrone

This work introduces capacity limits for molecular timing (MT) channels, where information is modulated on the release timing of small information particles, and decoded from the time of arrival at the receiver. It is shown that the random…

Information Theory · Computer Science 2016-11-15 Nariman Farsad , Yonathan Murin , Andrew Eckford , Andrea Goldsmith

This paper proposes the online parameters identification of semi-empirical models of Proton Exchange Membrane Fuel Cell (PEMFC). The covariance of unknown measurement noise is also estimated simultaneously. The actual data are fed to Kalman…

Optimization and Control · Mathematics 2019-11-05 Razieh Ghaderi , Abolghasem Daeichian

In this letter, we propose a new molecular modulation scheme for nanonetworks. To evaluate the scheme we introduce a more realistic system model for molecule dissemination and propagation processes based on the Poisson distribution. We…

Information Theory · Computer Science 2012-09-26 Hamidreza Arjmandi , Amin Gohari , Masoume Nasiri Kenari , Farshid Bateni

Spherical multi-layered structures are prevalent in numerous biological systems and engineered applications, including tumor spheroids, layered tissues, and multi-shell nanoparticles for targeted drug delivery. Despite their widespread…

Information Theory · Computer Science 2025-03-19 Mitra Rezaei , Michael Chappell , Adam Noel

In classical information theory, both the form and performance of the optimal detector for additive noise channels can be precisely derived, based on the assumption that the channel noise follows a specific probability distribution or a…

Information Theory · Computer Science 2026-03-20 Wen-Xuan Lang , Guiying Yan , Zhi-Ming Ma

The propagation of unstable interfaces is at the origin of remarkable patterns that are observed in various areas of science as chemical reactions, phase transitions, growth of bacterial colonies. Since a scalar equation generates usually…

Analysis of PDEs · Mathematics 2014-01-31 Michal Kolwalczyk , Benoit Perthame , Nicolas Vauchelet

We reconsider the persistence of information under the dynamics of the logistic map in order to discuss communication through a nonlinear channel where the sender can set the initial state of the system with finite resolution, and the…

Chaotic Dynamics · Physics 2009-11-10 Richard Metzler , Yaneer Bar-Yam , Mehran Kardar

The ubiquity of information transmission via molecular communication between cells is comprehensively documented on Earth; this phenomenon might even have played a vital role in the origin(s) and early evolution of life. Motivated by these…

Earth and Planetary Astrophysics · Physics 2024-01-26 Manasvi Lingam

In this paper the optimal control of flocking models with random inputs is investigated from a numerical point of view. The effect of uncertainty in the interaction parameters is studied for a Cucker-Smale type model using a generalized…

Numerical Analysis · Mathematics 2015-03-03 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

In this paper, we study the performance of detectors in a diffusive molecular communication environment where steady uniform flow is present. We derive the expected number of information molecules to be observed in a passive spherical…

Information Theory · Computer Science 2014-10-17 Adam Noel , Karen C. Cheung , Robert Schober

Guided ultrasonic wave localization uses spatially distributed multistatic sensor arrays and generalized beamforming strategies to detect and locate damage across a structure. The propagation channel is often very complex. Methods can…

Signal Processing · Electrical Eng. & Systems 2024-10-30 Ishan D. Khurjekar , Joel B. Harley

Incorporating probabilistic terms in mathematical models is crucial for capturing and quantifying uncertainties in real-world systems, especially when the solution is not unique or exhibits sudden qualitative changes as parameters vary.…

Numerical Analysis · Mathematics 2026-02-17 Isabella Carla Gonnella , Moaad Khamlich , Federico Pichi , Gianluigi Rozza

As robotic systems move from highly structured environments to open worlds, incorporating uncertainty from dynamics learning or state estimation into the control pipeline is essential for robust performance. In this paper we present a…

Systems and Control · Electrical Eng. & Systems 2021-09-14 Robert Dyro , James Harrison , Apoorva Sharma , Marco Pavone

The evolution of quantum states of light in free-space channels is strongly influenced by atmospheric turbulence, posing a significant challenge for quantum communication. The transmittance in such channels randomly fluctuates. This effect…

Quantum Physics · Physics 2025-12-19 I. Pechonkin , M. Klen , A. A. Semenov

Weather and climate forecasts are inherently uncertain due to chaotic dynamics, imperfect initial conditions, and incomplete representation of the underlying physical processes. Operational ensemble forecasts aim to represent these…

Machine Learning · Computer Science 2026-05-26 Birgit Kühbacher , Daan Crommelin , Niki Kilbertus

In a recent letter [Phys.Rev.Lett. {\bf 30}, 3269 (1995), chao-dyn/9510011], we reported that a macroscopic chaotic determinism emerges in a multistable system: the unidirectional motion of a dissipative particle subject to an apparently…

chao-dyn · Physics 2009-10-28 Tsuyoshi Hondou , Yasuji Sawada

This study investigates chaotic diffusion in multi-scale turbulence driven by nonlinear wave-particle resonance coupling. Turbulent waves with distinct characteristic wavelengths across scales coherently interact with charged particles when…

Plasma Physics · Physics 2025-04-22 Yueheng Huang , Nong Xiang , Jiale Chen , Zong Xu

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

Machine Learning · Computer Science 2019-04-03 Konstantin Posch , Jürgen Pilz

We develop a new approach to estimate the uncertainty due to missing higher orders in perturbative predictions (the perturbative "theory uncertainty"), which overcomes many inherent limitations of the currently prevalent methods based on…

High Energy Physics - Phenomenology · Physics 2025-03-28 Frank J. Tackmann