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Attention with Markov: A Framework for Principled Analysis of Transformers via Markov Chains

arXiv.org
Attention-based transformers have achieved tremendous success across a variety of disciplines including natural languages. To deepen our understanding of their sequential modeling capabilities, there is a growing interest in using Markov input processes ...
A. Makkuva   +6 more
semanticscholar   +1 more source

Stabilization of Discrete-Time Hidden Semi-Markov Jump Linear Systems With Partly Unknown Emission Probability Matrix

IEEE Transactions on Automatic Control
This article studies the stabilization problem for a class of discrete-time hidden semi-Markov jump linear systems with partly unknown emission probability matrix.
Bao Wang, Quanxin Zhu, Subei Li
semanticscholar   +1 more source

SMC for Discrete Semi-Markov Switching Slow Sampling Singularly Perturbed Models With Applications

IEEE Transactions on Circuits and Systems Part 1: Regular Papers
The sliding mode control (SMC) is addressed for discrete-time semi-Markov switching slow sampling singularly perturbed models. Under only the part known semi-Markov kernel, the $\varepsilon $ -dependent sliding function is designed for the underlying ...
Wenhai Qi   +3 more
semanticscholar   +1 more source

Observer-Based Asynchronous Control of Discrete-Time Semi-Markov Switching Power Systems Under DoS Attacks

IEEE Transactions on Systems, Man, and Cybernetics: Systems
This article is concerned with the observer-based asynchronous control for discrete hidden semi-Markov switching power systems under random denial-of-service (DoS) attacks.
Wenhai Qi   +4 more
semanticscholar   +1 more source

Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time

Electronic Journal of Probability
This paper considers the speed of convergence (mixing) of a finite Markov kernel $P$ with respect to the Kullback-Leibler divergence (entropy). Given a Markov kernel one defines either a discrete-time Markov chain (with the $n$-step transition kernel ...
Pietro Caputo   +3 more
semanticscholar   +1 more source

Continuous Affine Functions on the Space of Markov Kernels

Theory of Probability & Its Applications, 1986
Reprint from Teor. Veroyatn. Primen. 30, No.3, 486-498 (1985; Zbl 0584.60005).
openaire   +2 more sources

Dynamic output-feedback control of linear semi-Markov jump systems with incomplete semi-Markov kernel

at - Automatisierungstechnik, 2020
Yongxiao Tian   +4 more
semanticscholar   +1 more source

Representations of state space transformations by Markov kernels

International Journal of Theoretical Physics, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The evolution of SARS-CoV-2

Nature Reviews Microbiology, 2023
, Martin Beer, Nikolaos I Stilianakis
exaly  

Physics-informed machine learning

Nature Reviews Physics, 2021
George E Karniadakis   +2 more
exaly  

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