Concepedia

Lumpability

Lumpability is a structural property of a Markov process whereby a partition of the state space induces a coarse-grained process that itself satisfies the Markov property, ensuring that transition probabilities between aggregates depend only on the current aggregate state and not on the internal states or the path taken within the original process.

47

Publications

1.8K

Citations

73

Authors

55

Institutions

Publications per year

2017–2026

1

Parents

Publications

47

Exact and ordinary lumpability in finite Markov chains

Peter Buchholz · Journal of Applied Probability · 1994 · 355 citations

, , +10

Optimal state-space lumping in Markov chains

Salem Derisavi, Holger Hermanns, William H. Sanders · Information Processing Letters · 2003 · 204 citations

, , +13

Lumpability and marginalisability for continuous-time Markov chains

Frank Ball, Geoffrey Yeo · Journal of Applied Probability · 1993 · 76 citations

, , +13

State aggregation in Markov decision processes

Zhiyuan Ren, Bruce H. Krogh · 2004 · 66 citations

, , +16

Updating pagerank with iterative aggregation

Amy N. Langville, Carl D. Meyer · 2004 · 62 citations

, , +12

1–5 of 47

Authors

73

  1. PB
    Peter Buchholz

    TU Dortmund University, Germany

    3 publications · 428 citations

    3

    h-index

  2. MU
    Marlin U. Thomas

    Purdue University West Lafayette, United States

    3 publications · 71 citations

    3

    h-index

  3. DR
    Donald R. Barr

    Naval Postgraduate School, United States

    3 publications · 71 citations

    3

    h-index

  4. SR
    Sabina Rossi

    Ca' Foscari University of Venice, Italy

    3 publications · 73 citations

    3

    h-index

  5. GR
    Gerardo Rubino

    Institut national de recherche en sciences et technologies du numérique, France

    4 publications · 196 citations

    3

    h-index

1–5 of 73

Institutions

55

  1. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    5 h-index

    8 publications

    263 citations

  2. Institut de Recherche en Informatique et Systèmes Aléatoires

    Rennes, France

    4 h-index

    7 publications

    282 citations

  3. Monash University

    Melbourne, Australia

    3 h-index

    3 publications

    114 citations

  4. Ca' Foscari University of Venice

    Venice, Italy

    3 h-index

    6 publications

    146 citations

  5. TU Dortmund University

    Dortmund, Germany

    3 h-index

    3 publications

    428 citations

  6. Sorbonne Université

    Paris, France

    2 h-index

    4 publications

    62 citations

  7. University of Illinois Urbana-Champaign

    Urbana, United States

    2 h-index

    3 publications

    431 citations

  8. University of Turin

    Turin, Italy

    2 h-index

    2 publications

    76 citations

1–8 of 55

Venues

  1. Journal of Applied Probability

    JAP · 10 publications · 672 citations

    10

    h-index

  2. Statistics & Probability Letters

    2 publications · 26 citations

    2

    h-index

  3. Stochastic Processes and their Applications

    2 publications · 76 citations

    2

    h-index

  4. Theoretical Computer Science

    2 publications · 76 citations

    2

    h-index

  5. 1

    h-index

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