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We consider the problem of communicating exogenous information by means of Markov decision process trajectories. This setting, which we call a Markov coding game (MCG), generalizes both source coding and a large class of referential games.…

Nonlinear dynamical stochastic models are ubiquitous in different areas. Excitable media models are typical examples with large state dimensions. Their statistical properties are often of great interest but are also very challenging to…

Statistics Theory · Mathematics 2019-01-29 Nan Chen , Andrew J. Majda , Xin T. Tong

Coordination languages simplify design and development of concurrent systems. Particularly, exogenous coordination languages, like BIP and Reo, enable system designers to express the interactions among components in a system explicitly. In…

Programming Languages · Computer Science 2015-08-21 Kasper Dokter , Sung-Shik Jongmans , Farhad Arbab , Simon Bliudze

This paper formed part of a preliminary research report for a risk consultancy and academic research. Stochastic Programming models provide a powerful paradigm for decision making under uncertainty. In these models the uncertainties are…

Computational Finance · Quantitative Finance 2009-04-08 Sovan Mitra

Recently, hybrid models have emerged that combine microscopic and mesoscopic regimes in a single stochastic reaction-diffusion simulation. Microscopic simulations track every individual molecule and are generally more accurate. Mesoscopic…

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

We consider a Spatial Markov Chain model for the spread of viruses. The model is based on the principle to represent a graph connecting nodes, which represent humans. The vertices between the nodes represent relations between humans. In…

Populations and Evolution · Quantitative Biology 2020-04-14 Fred Vermolen

Uncertainty plays a central role in spoken dialogue systems. Some stochastic models like Markov decision process (MDP) are used to model the dialogue manager. But the partially observable system state and user intention hinder the natural…

Artificial Intelligence · Computer Science 2013-01-14 Bo Zhang , Qingsheng Cai , Jianfeng Mao , Baining Guo

The paper proposes the combination of stochastic blockmodels with smooth graphon models. The first allow for partitioning the set of individuals in a network into blocks which represent groups of nodes that presumably connect stochastically…

Methodology · Statistics 2022-03-28 Benjamin Sischka , Göran Kauermann

Large language models (LLM) have become a critical component in many applications of machine learning. However, standard approaches to training LLM require a large number of tightly interconnected accelerators, with devices exchanging…

A network of spatially distributed data centers can provide operational flexibility to power systems by shifting computing tasks among electrically remote locations. However, harnessing this flexibility in real-time through the standard…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Vladimir Dvorkin

We present StochasticPrograms.jl, a user-friendly and powerful open-source framework for stochastic programming written in the Julia language. The framework includes both modeling tools and structure-exploiting optimization algorithms.…

Optimization and Control · Mathematics 2022-09-07 Martin Biel , Mikael Johansson

Tensor structured Markov chains are part of stochastic models of many practical applications, e.g., in the description of complex production or telephone networks. The most interesting question in Markov chain models is the determination of…

Numerical Analysis · Mathematics 2015-05-08 Matthias Bolten , Karsten Kahl , Sonja Sokolović

Latent stochastic block models are flexible statistical models that are widely used in social network analysis. In recent years, efforts have been made to extend these models to temporal dynamic networks, whereby the connections between…

Methodology · Statistics 2017-03-23 Riccardo Rastelli , Pierre Latouche , Nial Friel

Optimal sensor scheduling with applications to networked estimation and control systems is considered. We model sensor measurement and transmission instances using jumps between states of a continuous-time Markov chain. We introduce a cost…

Optimization and Control · Mathematics 2014-05-07 Farhad Farokhi , Karl H. Johansson

This paper proposes a novel framework for rate-adaptive semantic communication based on multi-stage vector quantization (VQ), termed \textit{MSVQ-SC}. Unlike conventional single-stage VQ approaches, which require exponentially larger…

Signal Processing · Electrical Eng. & Systems 2025-10-06 Jinsung Park , Junyong Shin , Yongjeong Oh , Jihun Park , Yo-Seb Jeon

This paper introduces a novel abstraction-based framework for controller synthesis of nonlinear discrete-time stochastic systems. The focus is on probabilistic reach-avoid specifications. The framework is based on abstracting a stochastic…

Systems and Control · Electrical Eng. & Systems 2025-03-10 Frederik Baymler Mathiesen , Sofie Haesaert , Luca Laurenti

We propose Chain-of-Experts (CoE), a new Mixture-of-Experts (MoE) architecture that introduces sequential expert communication within each layer. Unlike traditional MoE models, where experts operate independently in parallel, CoE processes…

Machine Learning · Computer Science 2025-06-25 Zihan Wang , Rui Pan , Jiarui Yao , Robert Csordas , Linjie Li , Lu Yin , Jiajun Wu , Tong Zhang , Manling Li , Shiwei Liu

To study implementations and optimisations of interaction net systems we propose a calculus to allow us to reason about nets, a concrete data-structure that is in close correspondence with the calculus, and a low-level language to create…

Logic in Computer Science · Computer Science 2015-05-28 Abubakar Hassan , Ian Mackie , Shinya Sato

Predicting the spread of processes across complex multi-layered networks has long challenged researchers due to the intricate interplay between network structure and propagation dynamics. Each layer of these networks possesses unique…

Social and Information Networks · Computer Science 2024-10-23 Mohammad Hossein Samaei , Faryad Darabi Sahneh , Caterina Scoglio

Nonlinear stochastic modeling is useful for describing complex engineering systems. Meanwhile, neuromorphic (brain-inspired) computing paradigms are developing to tackle tasks that are challenging and resource intensive on digital…

Systems and Control · Electrical Eng. & Systems 2021-08-19 J. Chen , H. I. Nurdin