Stochastic Evaluation of Large Interdependent Composed Models Through Kronecker Algebra and Exponential Sums

DOI10.1007/978-3-030-21571-2_3OpenAlexW2949368680MaRDI QIDQ6144209

Leonardo Robol, Felicita Di Giandomenico, G. Masetti, Silvano Chiaradonna

Publication date: 29 January 2024

Published in: Application and Theory of Petri Nets and Concurrency (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11568/1000240

zbMATH Keywords

exponential sumsMarkov chainsstochastic Petri netsstochastic automata networksKronecker algebratensor trainmean time to absorption

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.) (68Q85)

Cites Work

• Tensor-Train Decomposition
• Existence and computation of low Kronecker-rank approximations for large linear systems of tensor product structure
• DMRG approach to fast linear algebra in the TT-format
• Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions
• Krylov Subspace Methods for Linear Systems with Tensor Product Structure
• Data Representation and Efficient Solution: A Decision Diagram Approach
• Superposed stochastic automata: a class of stochastic Petri nets with parallel solution and distributed state space
• Validation of Stochastic Systems
• Approximation of 1/x by exponential sums in [1, ∞)
• Applications and Theory of Petri Nets 2005

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