ITIP is a piece of software running on MATLAB for verifying all Shannon-type information inequalities, namely those implied by the nonnegativity of Shannon’s information measures. The theory is described in [2]. We also refer the readers to the tutorial paper [5] and the textbook [6]. We note that there exist established information inequalities which cannot be proved by ITIP. These are called non-Shannon-type inequalities. Examples are the ones reported in [3] and [4].

References in zbMATH (referenced in 37 articles )

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  1. Csirmaz, Laszlo: Secret sharing and duality (2021)
  2. Cheng, Siu-Wing; Jin, Kai; Yan, Lie: Extensions of self-improving sorters (2020)
  3. Csirmaz, Laszlo: One-adhesive polymatroids. (2020)
  4. Li, Wenjie; Li, Yao: Entropy, mutual information, and systematic measures of structured spiking neural networks (2020)
  5. Santibañez, Felipe; Silva, Jorge F.; Ortiz, Julián M.: Sampling strategies for uncertainty reduction in categorical random fields: formulation, mathematical analysis and application to multiple-point simulations (2019)
  6. Matúš, František: Classes of matroids closed under minors and principal extensions (2018)
  7. Matveev, Rostislav; Portegies, Jacobus W.: Asymptotic dependency structure of multiple signals (2018)
  8. Nair, Ranjith: Fundamental quantum limits in optical metrology from rate-distortion theory (2018)
  9. Csirmaz, László: Using multiobjective optimization to map the entropy region (2016)
  10. Hu, Hang; Zhang, Hang; Yu, Hong: Energy-efficient sensing for delay-constrained cognitive radio systems via convex optimization (2016)
  11. Li, Yao; Yi, Yingfei: Systematic measures of biological networks. II: Degeneracy, complexity, and robustness (2016)
  12. Bonmati, Ester; Bardera, Anton; Boada, Imma; Feixas, Miquel; Sbert, Mateu: Hierarchical clustering based on the information bottleneck method using a control process (2015)
  13. Ha, Jihyun; Seok, Seulgi; Lee, Jong-Seok: A precise ranking method for outlier detection (2015)
  14. Yeung, Raymond W.: Facets of entropy (2015)
  15. Cohen, Asaf; Dolev, Shlomi; Leshem, Guy: Sensor networks: from dependence analysis via matroid bases to online synthesis (2014)
  16. Dȩbowski, Łukasz: On hidden Markov processes with infinite excess entropy (2014)
  17. Gupta, Nitin; Bajaj, Rakesh Kumar: On partial monotonic behaviour of some entropy measures (2013)
  18. Latorre Carmona, Pedro; Martínez Sotoca, José; Pla, Filiberto: Filter-type variable selection based on information measures for regression tasks (2012)
  19. Li, Yao; Dwivedi, Gaurav; Huang, Wen; Kemp, Melissa L.; Yi, Yingfei: Quantification of degeneracy in biological systems for characterization of functional interactions between modules (2012)
  20. Shangari, Dhruv; Chen, Jiahua: Partial monotonicity of entropy measures (2012)

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