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Spatial reaction-diffusion models have been employed to describe many emergent phenomena in biological systems. The modelling technique most commonly adopted in the literature implements systems of partial differential equations (PDEs),…

Quantitative Methods · Quantitative Biology 2015-10-05 Christian A. Yates , Mark B. Flegg

We study a discrete time queueing system where deterministic arrivals have i.i.d. exponential delays $\xi_{i}$. The standard deviation $\sigma$ of the delay is finite, but its value is much larger than the deterministic unit service time.…

Probability · Mathematics 2017-01-02 Carlo Lancia , Gianluca Guadagni , Sokol Ndreca , Benedetto Scoppola

This work studies optimal detection for communication over diffusion-based molecular timing (DBMT) channels. The transmitter simultaneously releases multiple information particles, where the information is encoded in the time of release.…

Information Theory · Computer Science 2017-09-12 Yonathan Murin , Nariman Farsad , Mainak Chowdhury , Andrea Goldsmith

Controlled drug delivery (CDD), the controlled release and delivery of therapeutic drugs inside the human body, is a promising approach to increase the efficacy of drug administration and reduce harmful side effects to the body. CDD has…

Signal Processing · Electrical Eng. & Systems 2023-05-11 Sebastian Lotter , Tom Bellmann , Sophie Marx , Mara Wesinger , Lukas Brand , Maximilian Schäfer , Dagmar Fischer , Robert Schober

This paper studies the impact of a transmitter's molecule generation process on the capacity of a concentration based Molecular Communication (MC) system. Constraints caused by the molecule generation process affect the availability of the…

Information Theory · Computer Science 2018-02-27 Hamid G. Bafghi , Amin Gohari , Mahtab Mirmohseni , Masoumeh Nasiri-Kenari

Diffusion models have emerged as a promising approach for text generation, with recent works falling into two main categories: discrete and continuous diffusion models. Discrete diffusion models apply token corruption independently using…

Computation and Language · Computer Science 2025-05-29 Bocheng Li , Zhujin Gao , Linli Xu

Molecular communication (MC) is a concept in communication engineering, where diffusive molecules are used to transmit information between nano or micro-scale chemical reaction systems. Engineering MC to control the reaction systems in…

Systems and Control · Electrical Eng. & Systems 2024-04-01 Shoichiro Kitada , Taishi Kotsuka , Yutaka Hori

The stationary higher-order Markov process for circular data is considered. We employ the mixture transition distribution (MTD) model to express the transition density of the process on the circle. The underlying circular transition…

Methodology · Statistics 2024-11-12 Hiroaki Ogata , Takayuki Shiohama

This article presents the formulation and steady-state analysis of the distributed estimation algorithms based on the diffusion cooperation scheme in the presence of errors due to the unreliable data transfer among nodes. In particular, we…

Systems and Control · Computer Science 2013-10-29 Saeed Ghazanfari-Rad , Fabrice Labeau

Molecular communication (MC) is a paradigm that employs molecules as information transmitters, hence, requiring unconventional transceivers and detection techniques for the Internet of Bio-Nano Things (IoBNT). In this study, we provide a…

Networking and Internet Architecture · Computer Science 2023-11-27 O. Tansel Baydas , Ozgur B. Akan

Generative modeling of non-negative, discrete data, such as symbolic music, remains challenging due to two persistent limitations in existing methods. Firstly, many approaches rely on modeling continuous embeddings, which is suboptimal for…

Machine Learning · Computer Science 2026-02-12 Sagnik Bhattacharya , Abhiram Gorle , Ahsan Bilal , Connor Ding , Amit Kumar Singh Yadav , Tsachy Weissman

Accurately calculating time delays between signals is pivotal in many modern physics applications. One approach to estimating these delays is computing the cross-spectrum in the time-frequency domain. Linear time-frequency representations,…

Computational Physics · Physics 2026-03-23 L. de A. Gurgel , J. M. de Araújo , L. D. Machado , P. D. S. de Lima

Discrete diffusion models have gained increasing attention for their ability to model complex distributions with tractable sampling and inference. However, the error analysis for discrete diffusion models remains less well-understood. In…

Machine Learning · Computer Science 2025-03-04 Yinuo Ren , Haoxuan Chen , Grant M. Rotskoff , Lexing Ying

Diffusion models have emerged as a widely utilized and successful methodology in human motion synthesis. Task-oriented diffusion models have significantly advanced action-to-motion, text-to-motion, and audio-to-motion applications. In this…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Yuduo Jin , Brandon Haworth

Predicting molecular conformations from molecular graphs is a fundamental problem in cheminformatics and drug discovery. Recently, significant progress has been achieved with machine learning approaches, especially with deep generative…

Machine Learning · Computer Science 2022-03-16 Minkai Xu , Lantao Yu , Yang Song , Chence Shi , Stefano Ermon , Jian Tang

Energy carrier transport and recombination in emerging semiconductors can be directly monitored with optical microscopy, leading to the measurement of the diffusion coefficient (D), a critical property for design of efficient optoelectronic…

Molecular Communications (MC) is a bio-inspired communication paradigm that uses molecules as information carriers, requiring unconventional transceivers and modulation/detection techniques. Practical MC receivers (MC-Rxs) can be…

Signal Processing · Electrical Eng. & Systems 2023-09-19 Meltem Civas , Murat Kuscu , Ozgur B. Akan

The rapidly increasing complexity of (mainly wireless) ad-hoc networks stresses the need of reliable distributed estimation of several variables of interest. The widely used centralized approach, in which the network nodes communicate their…

Information Theory · Computer Science 2015-03-20 K. Dedecius , V. Sečkárová

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

Statistical Mechanics · Physics 2015-06-18 Jean-Yves Fortin

This article introduces two techniques for computing the distribution of the absorption or first passage time of the drifted Wiener diffusion subject to Poisson resetting times, to an upper hard wall barrier and to a lower absorbing…

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